Jason has 44.0 blue marbles and 16.0 red marbles. Tom has 24.0 blue marbles.  How many more blue marbles does Jason have than Tom? Answer:

A normal population has a mean of 80.0 and a standard deviation of 14.0.A. Compute the probability of a value between 75.0 and 90.0.B. Compute the probability of a value 75.0 or less.C. Compute the probability of a value between 55.0 and 70.0.

Q 2: The area of a sector is 985.6 sq cm. Find the radius if the perimeter of the sector is given by 126.4 cm.
Q 3: The area of a sector whose radius is 8.4 cm is 83.16 sq cm. Find the perimeter of the sector.

Your State Bundle is coming online shortly.
We are adding new states every month. Please click below to get notified when your state is online.
While you’re waiting ... Try our Unlimited Annual LIVE CLE Webcasts.
The State CLE Bundles are convenient preselected and prerecorded courses available 24/7 that offer the quickest way to "getting your CLE done" if you are under a tight deadline.
However, you can also fulfill all your CLE requirements throughout the year by taking our LIVE online CLE classes. Our annual LIVE subscription offers 450+ Courses per year and since they are LIVE you will be able to interact with the faculty during the Q&A. So why not choose the courses that you are most interested in and enjoy your learning experience. Try LIVE today! Available on all devices. Click below to sign up or get more info.
Please scroll down below to find your state.
All 12 AL CLE Credits Included.
12 Courses Included. 21.5 Credits Available. Take What You Need/Enjoy The Rest.
All 9 AK CLE Credits Included.
14 Courses Included. 20.50 Credits Available. Take What You Need/Enjoy The Rest.
All 15 AZ CLE Credits Included.
22 Courses Included. 33.50 Credits Available. Take What You Need/Enjoy The Rest.
All 12 AR CLE Credits Included.
12 Courses Included. 21.5 Credits Available. Take What You Need/Enjoy The Rest.
All 25 CA CLE Credits Included.
34 MCLE Courses to choose from. Take what you need for CLE and enjoy the rest!
All 45 CO CLE Credits Included.
34 Courses Included. 80 Credits Available. Take What You Need/Enjoy The Rest.
All 12 CT CLE Credits Included.
32 Courses Included. 52.5 Credits Available. Take What You Need/Enjoy The Rest.
All 12 DE CLE Credits Included.
17 Courses Included. 25.5 Credits Available. Take What You Need/Enjoy The Rest.
All 33 FL CLE Credits Included.
26 Courses Included. 39.50 Credits Available. Take What You Need/Enjoy The Rest.
All 6 GA CLE Credits Included.
16 Courses Included. 24 Credits Available. Take What You Need/Enjoy The Rest.
All 3 HI CLE Credits Included.
8 Courses Included. 10 Credits Available. Take What You Need/Enjoy The Rest.
All 15 ID CLE Credits Included.
22 Courses Included. 33.50 Credits Available. Take What You Need/Enjoy The Rest.
All 30 IL CLE Credits Included.
20 Courses Included. 30 Credits Available. Take What You Need/Enjoy The Rest.
All 12 IN CLE Credits Included.
22 Courses Included. 39 Credits Available. Take What You Need/Enjoy The Rest.
All 15 IA CLE Credits Included.
19 Courses Included. 33 Credits Available. Take What You Need/Enjoy The Rest.
All 12 KS CLE Credits Included.
All 5.5 ME CLE Credits Included.
14 Courses Included. 20.50 Credits Available. Take What You Need/Enjoy The Rest.
All 20.50 MD CLE Credits Included.
14 Courses Included. 20.50 Credits Available. Take What You Need/Enjoy The Rest.
All 20.5 MA CLE Credits Included.
14 Courses Included. 20.5 Credits Available. Take What You Need/Enjoy The Rest.
All 20.5 MI CLE Credits Included.
14 Courses Included. 20.5 Credits Available. Take What You Need/Enjoy The Rest.
All 6 MS CLE Credits Included.
7 Courses Included. 10 Credits Available. Take What You Need/Enjoy The Rest.
All 15 MO CLE Credits Included.
14 Courses Included. 24.5 Credits Available. Take What You Need/Enjoy The Rest.
All 5 MT CLE Credits Included.
14 Courses Included. 23.5 Credits Available. Take What You Need/Enjoy The Rest.
All 10 NE CLE Credits Included.
13 Courses Included. 23.5 Credits Available. Take What You Need/Enjoy The Rest.
All 13 NV CLE Credits Included.
10 Courses Included. 15 Credits Available. Take What You Need/Enjoy The Rest.
All 6 NH CLE Credits Included.
26 Courses Included. 40.5 Credits Available. Take What You Need/Enjoy The Rest.
All 12 NJ CLE Credits Included.
34 Courses Included. 80 Credits Available. Take What You Need/Enjoy The Rest.
All 12 NM CLE Credits Included.
8 Courses Included. 12 Credits Available. Take What You Need/Enjoy The Rest.
All 24 NY CLE Credits Included.
34 Courses Included. 80 Credits Available. Take What You Need/Enjoy The Rest.
All 15 ND CLE Credits Included.
14 Courses Included. 20.5 Credits Available. Take What You Need/Enjoy The Rest.
All 12 OH CLE Credits Included.
7 Courses Included. 13 Credits Available. Take What You Need/Enjoy The Rest.
All 12 OK CLE Credits Included.
12 Courses Included. 21.5 Credits Available. Take What You Need/Enjoy The Rest.
All 45 OR CLE Credits Included.
17 Courses Take What You Need – 6 Credits & Enjoy the Rest.
All 10 RI CLE Credits Included.
8 Courses Included. 12 Credits Available. Take What You Need/Enjoy The Rest.
All 14 SC CLE Credits Included.
8 Courses Included. 14 Credits Available. Take What You Need/Enjoy The Rest.
All 20.5 SD CLE Credits Included.
14 Courses Included. 20.5 Credits Available. Take What You Need/Enjoy The Rest.
All 15 TN CLE Credits Included.
12 Courses Included. 21.5 Credits Available. Take What You Need/Enjoy The Rest.
All 15 CLE Credits Included.
10 Courses Included. 15 Credits Available. Take What You Need/Enjoy The Rest.
All 12 UT CLE Credits Included.
14 Courses Included. 20.50 Credits Available. Take What You Need/Enjoy The Rest.
All 20 VT CLE Credits Included.
10 Courses Included. 15 Credits Available. Take What You Need/Enjoy The Rest.
All 12 VA CLE Credits Included.
12 Courses Included. 21.5 Credits Available. Take What You Need/Enjoy The Rest.
All 45 WA CLE Credits Included.
32 Courses Included. 47.50 Credits Available. Take What You Need/Enjoy The Rest.
All 12 WV CLE Credits Included.
14 Courses Included. 23.5 Credits Available. Take What You Need/Enjoy The Rest.
All 30 WI CLE Credits Included.
17 Courses Included. 30 Credits Available. Take What You Need/Enjoy The Rest.
All 6 WY CLE Credits Included.
15 Courses Included. 23.50 Credits Available. Take What You Need/Enjoy The Rest.
Please enter your name and email address, we'll notify you when there's an update with your state..
For enquiries, please call (646) 844-0200 or email us at info@theknowledgegroup.org.

UNSIGNED, SIGNED, UFIXED and SFIXED.
“test_fixed_matrix.vhdl” which test the functionality of these packages.
 “compile.mti” – A compile script.
were designed to be compiled into the IEEE_PROPOSED library.
 “real_matrix_pkg” is dependant only on IEEE.MATH_REAL.
A vector is assumed to be a matrix with one row. signal b: real_matrix (0 to 1.0. Z (0. not “0”.all. type integer_matrix is array (NATURAL range <>. and starting at index “0”. (7. 5. signal a: real_matrix (0 to 3. so we have several functions which are designed to do this: a) Taking a matrix apart . NATURAL range <>) of INTEGER. 9. 0 to 2).real_matrix_pkg. c <= a * b. 0 to 1). Thus for the matrix: Z := ((1. 6.0.0. y. columns) where : arg – Input matrix x – “x” or row location to start from y – “y” or column location to start from rows – number of rows in result . signal c: real_matrix (0 to 3.2) = 7. All functions which read in vectors treat them in this manner..j)” or “(r. 0 to 2).. If you want a matrix with one column..0. 2. 8.. 3. rows. -. One of the wonderful things about Matlab is the ability to pull a slice out of a vector or a matrix. 0 to 0).0 Note that this notation is different from the Matlab notation.0. x. (4. row format.0.. Usage model: use ieee. Due to the strong typing in VHDL we do not have that ability.0).. NATURAL range <>) of REAL.i:j)”. If a “downto” range is used when defining a matrix or a vector then that matrix will be reversed when it is operated on. -ieee_proposed compatibility version . then you need to define them as follows: signal z : real_matrix (0 to 3. begin . In that language the first column is column “1”.0)).For this you need the “SubMatrix” command Result := submatrix (arg. All matrices are assumed to be of the “X to Y” range.0). In Matlab you can say “(i:j)” or “(:.type real_matrix is array (NATURAL range <>. all matrices are assumed to be in column.Matrix multiply for As a concession to C.
result.0. B := submatrix (A. 3. or: B := ((6.0). 0 to 1) B := ((7. (10. 1. 2.0).0.0. 11. 1. 10.0)). 15. 4. variable B : real_matrix (0 to 1. 1. x. Would return a 2x2 matrix (real_matrix (0 to 1. (3. A.0.0. There are special versions for vectors: BuildMatrix (arg.0. 1. (1. If “rows” is a “1” then the vector version can be used: variable BV : real_vector (0 to 2).0. x.0. 1.0. (1.0. A := ((1.0.0. 4.0. buildmatrix (B. 1.0. 2.0) or: BV := (5. y) Where: arg – real_vector Result – final matrix (inout) x – “x” or row location to start from y – “y” or column location to start from . 1. 8.0. 2. 0 to 3). 1. result.0. A := ones (A’length(1). x.0. 1.0. 6. 0 to 1)) starting at location (1.0. 1). 14.0. (5.0.0. b) Putting a matrix back together: BuildMatrix (arg.0. (13. 3 columns (real_vector (0 to 2)) starting at location (1. A’length(2)). 7.0). 1. 11. 3.1. 3).0). 7.0).0).0.0.0.0)). y) – where “arg” is a vector InsertColumn (arg.0. 7.0)).2. result.0). y) where: arg – submatrix to put in the “result” matrix (input) result – Final matrix (inout) x – “x” or row location to start from y – “y” or column location to start from Examples: variable A : real_matrix (0 to 3.0).1) in the input matrix A. 16.2).0)).columns – number of columns in result Examples: Take the matrix: variable A : real_matrix (0 to 3. 1. 12. Would return 1 row. BV := submatrix (A. 1.0).0. 6.0.0. (9.0. 0 to 3). 7. Will result in: ((1. (1. 4.
0.0. 0.0). 2). 13. 7.0 along the “X” (row) axis BuildMatrix (BV. 12. 2. (4.0).0).0. 2.0).0)). (5. A vector and a matrix with 1 row are considered to be equivalent. variable N : integer_vector (0 to 8). 0 to 2).0. 11. 12.0.Matrix multiply. 3.0.0. M’length(2)). 1. Index: Operators: “*” .Put Vector BV in Matrix A at 2. 0 to 5) := (others => 1. A’length(2)). A := ones (A’length(1). A.0. -. 1. Thus: constant A : real_matrix (0 to 0.0. M := reshape (N.Example: variable A : real_matrix (0 to 3.Put Vector CV in Matrix A at 0. (1. 0). 1. variable BV.0.0. 7. Will result in: ((1. 6). 1. 9). 11. (1.2 along the “Y” (column) axis InsertColumn (CV. (7.0). 1. 4. This will result in the following integer matrix: M := ((1. M’length(1).0. 6. 6. 10.0. Returns a matrix which is (left row length by right column length) . 0 to 3). CV : real_vector (0 to 3) BV := (5. 1.0. 2. CV := (10.0. A = C would be True (Assuming C to be a row).0. 3). The “reshape” function can be use to convert a vector or a matrix to one of any shape desired. overloaded for the following: real_matrix * real_matrix return real_matrix – Number of Columns in left matrix must match number of rows in right matrix. 9)). constant C : real_vector (0 to 5) := (others => 1.0). 6.0. 5. 8. 8.0).0. … begin N := (1. 8. A. -. 8. 5. For instance: variable M : integer_matrix (0 to 2. 13.
Returns a matrix which is square (vector length by vector length) real_vector * real_matrix return real_vector . sum along the Y axis. Returned vector will be number of columns in Matrix.*” function (element by element multiply. Matrix must be square for this function to work.^” function.real_vector return real_vector – Dimensions must match unary minus (real_matrix) “/” – Matrix division real_matrix / real_matrix return real_matrix (= real_matrix * inv(real_matrix)). number of rows must match length of vector. . Matrix must be square for this function to work. overloaded for the following: real_matrix + real_matrix return real_matrix – Dimensions must match real_vector + real_vector return real_vector – Dimensions must match “-“ – Matrix subtraction.real_matrix * real_vector return real_matrix – Matrix must have 1 column. (element by element l**r) Sqrt – element by element square root function Exp – element by element exp function Log – element by element natural log function Trace – Sum the diagonal of a matrix Sum (vector) – returns the arithmetic sum of the input vector Sum (matrix./ function (element by element divide) Mrdivide – Similar to matlab mrdivide function (l * inv(r)) Mldivide – Similar to matlab mldivide function (inv(l)* r) Pow – Similar to matlab “. “=” real_vector = real_matrix – True if the matrix has one row and equal to the vector real_matrix = real_vector real_vector /= real_matrix real_matrix /= real_vector “abs” – return the absolute value (real_matrix or real_vector) Functions: Times – Similar to matlab “. dim) – returns the sum of a matrix along a given dimension Dim = 1. real_matrix / real return real_matrix real_vector / real return real_vector “**” real_matrix ** integer return real_matrix – This function is recursive.Matrix must have same number of rows as length of vector.real_matrix return real_matrix – Dimensions must match real_vector . Arg**-1 = inv(arg). real_matrix * real return real_matrix real * real_matrix return real_matrix real_vector * real return real_vector real * real_vector return real_vector “+” – Matrix addition. overloaded as follows: real_matrix . same as real_matrix * real) Rdivide – Similar to matlab .
x. columns) – returns an identity matrix Rand (rows. Repmat (arg. columns) – replicates the “arg” matrix rows*columns times Tril – returns the lower triangle of a matrix Triu – returns the upper triangle of a matrix submatrix (arg. multiply along the Y axis. rows. Size – returns the size of a matrix Isvector – returns true if the matrix has only one dimension Isscalar – returns true if there is only one element in this matrix Numel – returns the number of elements in a matrix Diag (arg: real_matrix) – returns a vector which is the diagonal of a matrix Diag (arg: real_vector) – returns a matrix which as the argument as its diagonal. columns) – reads a matrix and creates a new one of a different dimensions. dim) – Flips a matrix along a given dimension Fliplr – Flip a matrix left to right Flipup – flip a matrix top to bottom Rot90 (arg. dim) – rotates a matrix 90 degrees (or more depending on “dim”) Reshape (arg. x. rows. y. l. r) – Concatenates two matrices along dimension “dim” Horzcat (l. vector) – Solves a linear equation Normalize (matrix. columns) – returns a matrix of ones. columns) return real_matrix – Please see above for details submatrix (arg. y. columns) – Creates a matrix by replicating a single value Zeros (rows. blockdiag(arg: real_matrix. sum along the X axis Prod(vector) – returns the arithmetic multiplication of the input vector Prod (matrix. columns) – returns a matrix of random numbers Cat (dim. rows. Dim = 2. eye (rows. rows. columns) – returns a matrix of zeros Ones (rows. rep : positive) – Replicates matrix “arg” along the diagonal of the resultant matrix “rep” times.Dim = 2. rval) – Normalizes a matrix to the value “rval” (which defaults to 1.returns the arithmetic multiplication of the input along a given dimension Dim = 1.dim) . r) – Concatenates two matrices vertically Flipdim (arg. can read in a matrix or a vector and return a matrix or a vector. rows.0) Polyval – Evaluates a polynomial Isempty – returns true if the matrix or vector is null Transpose – Transposes a matrix Repmat (val. Blkdiag (arg: real_vector) – returns the block diagonal of a vector. multiply along the X axis Dot – returns the dot product of two vectors Cross – returns the cross product of two vectors (or matrices) Kron – returns the Kronecker product of two matrices Det – returns the determinant of a matrix Inv – Inverts a matrix Linsolve (matrix. r) – Concatenates two matrices horizontally Vertcat (l. columns) return real_vector .
The following conversion functions are defined: To_integer (real_matrix) – converts a real_matrix into an integer_matrix with the same dimentions. “normalize”. and the matrix size is not printer. x. Thus you can divide a real_matrix by an integer_matrix. with the result being a real_matrix. print_vector (arg : real_vector. “exp”. Textio Functions: To_string (arg: real_matrix) – returns a string (with LF at the end of every row) delimited by spaces. “/”. . Punctuation and LF are ignored. x. “sqrt”. VALUE: real_matrix) – Writes matrix “VALUE” into line “L”. VALUE: real_matrix) – Reads a string which may contain several lines and reads them into matrix “VALUE”. All of these functions are replicated for “integer_matrix”. If index is “true” then the index of every element is printed before that element. If index is “false” then the size of the matrix is printed out on the first line. To_real (integer_vector) – converts an integer_vector into a real_vector with the same dimentions. overloads which return “real_matrix” have been created. Punctuation and LF are ignored. Read (L: line. If index is “true” then the index of every element is printed before that element. index : Boolean := false). To_integer (real_vector) – converts a real_vector into an integer_vector with the same dimentions To_real (integer_matrix) – converts an integer_matrix into a real_matrix with the same dimentions. All of the above functions are replicated for types “integer_matrix” and “integer_vector” with the exception of “rdivide”. “log”. y) buildmatrix (arg. The output of these functions is always a real matrix or vector. “inv”. row. VALUE: real_matrix. result. “linsolve”. result. y) – where “arg” is assumed to be a vector InsertColumn (arg. y) – where “arg” is assumed to be a vector Exclude (arg. The matrix is punctuated with “(“. followed by the values of the matrix (one row/line). “)” and “LF” to delimit columns and rows. “mldivide”. and “rand”.buildmatrix (arg. GOOD: boolean) – Reads a string which may contain several lines and reads them into matrix “VALUE”.”. A Boolean “good” is returned to tell you if the matrix is valid. Read (L: line. Write (L: line. result. Functions which mix real and integer (vector and matrices) are also defined in these packages. x. For these functions. index : Boolean := false). print_matrix (arg : real_matrix. column) – Return a matrix with the designated row and column removed. “.
These functions are also replicated for “integer_vector”. NATURAL range <>) of complex. Punctuation is ignored.returns a string. type complex_polar_vector is array (NATURAL range <>) of complex_polar. The matrix is punctuated with “(“. Punctuation is ignored. VALUE: real_vector) – Writes vector “VALUE” into line “L”. as well as “complex_matrix_pkg” (and “math_real”).Y) – Converts the real_matrix (or vector) X into the real portion of the complex_matrix result. GOOD: boolean) – Reads a string into vector “VALUE”. . In the “complex_matrix_pkg” package you will find the following types: type complex_vector is array (NATURAL range <>) of complex.The following functions are also defined in this area (and should be removed when VHDL-2008 supports these) To_string (arg : real_vector) . delimited by spaces Read (L: line. type complex_polar_matrix is array (NATURAL range <>. type complex_matrix is array (NATURAL range <>. These operators are also overloaded for mixing any combination of complex or complex_polar with real. and the real_matrix “Y” into the complex part. “)” to delimit elements in the array. “. CMPLX(arg) – Converts a real_matrix (or vector) to a complex_matrix (or vector) with a 0 complex portion CMPLX(X. A Boolean “good” is returned to tell you if the matrix is valid. Read (L: line. COMPLEX_TO_POLAR – Converts a complex_matrix (or vector) to a complex_polar result POLAR_TO_COMPLEX – converts a complex_polar_matrix (or vector) to a complex_matrix (or vector) CONJ – returns the complex conjugate of the input Operators All of the functions defined for “real_matrix” are defined for “complex_matrix” and “complex_polar_matrix” with the exception of “pow” and “poly” (because there is no generic “**” function in math_complex). Write (L: line. VALUE: real_vector) – Reads a string into vector “VALUE”. NATURAL range <>) of complex_polar. and “rand”.”. Complex_Matrix_pkg package: This package depends on the IEEE “math_complex” package. VALUE: real_vector.
Define the base types type ufixed_matrix is array (NATURAL range <>. “complex_vector”. “complex_matrix” and “complex_polar_matrix”. . so we use constants instead. -16. However at this time those options are not available. 15. complex_polar_matrix.zip.org/fphdl/vhdl2008c. Also. in VHDL-2008 it is possible to have an unconstrained array of unconstrained arrays. Fixed_Matrix_pkg package: This package depends on the IEEE “numeric_std” and “fixed_pkg” packages. Ctranspose(complex_matrix) – returns the complex conjugate of the input matrix. 15. The VHDL-93 version is dependent on the “IEEE_PROPOSED” library which can be downloaded at http://www.Exceptions: Abs(complex_matrix) – returns a real_matrix (complex_vector. Textio Functions: There are no textio functions in “math_complex”. “complex_polar”. NATURAL range <>) of ufixedr. constant constant constant constant constant constant ufixed_matrix_high ufixed_matrix_low sfixed_matrix_high sfixed_matrix_low unsigned_matrix_high signed_matrix_high : : : : : : INTEGER INTEGER INTEGER INTEGER NATURAL NATURAL := := := := := := 15. so “to_string”. 15. -16. subtype sfixedr is UNRESOLVED_sfixed (sfixed_matrix_high downto sfixed_matrix_low). subtype signedr is SIGNED (signed_matrix_high downto 0). “complex_polar_vector”. This package was designed to make use of package generics. These constants are used to define the sizes of the elements of the matrices and vectors as follows: subtype ufixedr is UNRESOLVED_ufixed (ufixed_matrix_high downto ufixed_matrix_low). subtype unsignedr is UNSIGNED (unsigned_matrix_high downto 0). and complex_polar_vector are also valid input types). -. “read” and “write” are defined in complex_matrix_pkg for the types “complex”.vhdl. (complex_polar_matrix is also a valid input type). These constants define how large the array types are in the matricies.
type unsigned_matrix is array (NATURAL range <>. Overloads which return “sfixed_matrix” exist for the “signed” types. NATURAL range <>) of sfixedr. To_sfixed – Can have “signed_matrix”. “ufixed_matrix”. “real_matrix”. NATURAL range <>) of signedr. “integer_matrix” (and the _vector versions) as input. Also “polyval” and “linsolve” are undefined. “unsigned_matrix”. mldivide. All of the functions which are described in the “real_matrix_pkg” documentation are defined for the types “sfixed_matrix” and “sfixed_vector” with the exception of the “rand” function. For the unsigned_matrix. “sfixed_matrix” (and the _vector versions) as input. Copies of these functions which accept ufixed_matrix and return sfixed_matrix are defined. “signed_matrix” (and the _vector versions) as input. type unsigned_vector is array (NATURAL range <>) of unsignedr. type signed_vector is array (NATURAL range <>) of signedr. “integer_matrix”.type ufixed_vector is array (NATURAL range <>) of ufixedr. signed_matrix. unsigned_vector. “integer_matrix” (and the _vector versions) as input. “ufixed_matrix” (and the _vector versions) as input. “real_matrix”. NATURAL range <>) of unsignedr. Conversion functions are defined as follows: To_ufixed – Can have “unsigned_matrix”. However for unsigned types you will need to convert to “signed” or “ufixed” before performing any of these functions. For the ufixed_matrix and ufixed_vector types the functions which involve matrix inversion (Matrix/Matrix. To_real – Can have “ufixed_matrix”. To_integer – can have “unsigned_matrix”. type signed_matrix is array (NATURAL range <>. type sfixed_matrix is array (NATURAL range <>. “integer_matrix”. “unsigned_matrix” (and the _vector versions) as input. and inv) are not defined. any “/” operators and inv). mrdivide. type sfixed_vector is array (NATURAL range <>) of sfixedr. and unsigned_vector types any functions which perform a “divide” are not defined (normalize. To_unsigned – Can have “ufixed_matrix”. . To_signed – Can have “sfixed_matrix”.

Did you know that over 62% of Australian adults would consider orthodontic treatment to correct crooked and misaligned teeth?
While orthodontics is generally associated with young children and adolescences, they are increasingly offered as a treatment for issues we experience throughout adulthood. Teeth straightening solutions form a vital element of a fully tailored dental health treatment plan. With consideration given to not only the aesthetics but functionality and form as well.
Modern orthodontic treatments offer an unobtrusive avenue to a fully functional and aesthetically superior smile that inspires confidence and boosts self-esteem.
The more traditional steel brace can be traced back to the late 1920s, while ceramic and porcelain brackets made their debut in the 1970s. Towards the end of the 20th century, the clear aligner surfaced offering a non-invasive solution where once uncomfortable elastics and springs were market leaders. Orthodontic solutions are now minimalistic with a focus on the gentle manipulation of the teeth and jaw in a non-invasive manner.
Conventional Braces: featuring a series of individual brackets and arch wires, our traditional steel braces are a proven tooth straightening technique designed to provide a gradual shifting of your teeth into the desired position.
Consult with our team to determine the most effective way to straighten your teeth, whether you pursue the more traditional treatment or prefer the transparent, discreet clear aligner. We have a smile solution for you.
To discuss your teeth straightening options in detail, call for consultation at Dentistree on (03) 9763 7333 today.

Applications of problems involving hourly rates, cell phone rates, and salary/commission are all similar in that they involve payment to someone for a service completed after a period of time has passed. For example, many employees are paid salaries based on the number of hours they have worked over a given period of time plus a commission, users of cell phones pay a phone bill based on the number of hours they talk on their phones during a given period of time, and many businesses charge hourly fees for you to use their products over a given period of time.
Suppose that the Aztec Cell Phone company charges $50 per month plus 15 cents per minute while the Southern Cell Phone Company charges no monthly fee but 25 cents per minute. After how many minutes of phone usage would a monthly phone bill be the same from both companies?
First, we need to write an equation representing the cost/minute for each cell phone company. Let x represent number of minutes.
The 50 represents the flat monthly charge and the 0.15x represents 15 cents for each minute (x) that someone uses the phone.
There is no flat monthly charge, so the 0.25x represent 25 cents for each minute (x) that someone uses the phone.
To determine after how many minutes the two companies’ charge would be the same, we solve the two equations simultaneously.
Rewrite each equation so that they are in the form .
Therefore, the cost for using each company’s cell phone will be equal after 500 minutes. The cost would be $125.
This information could also be obtained graphically by identifying the coordinates of the intersection point where the lines of our two equations cross each other.
The bold line represents the graph of the Aztec Company. The other line represents the graph of the Southern Company. The two lines intersect at the point where both companies are charging the same amount of money for monthly phone use, $125. This occurs at 500 minutes.
The Aztec Cell Phone company charges $50 per month plus 15 cents per minute. The Southern Cell Phone Company charges no monthly fee but 25 cents per minute. Susan is trying to determine which company’s phone is right for her. She cannot afford to pay more than $60 per month for her phone. Which should she choose?
Tara is a sales representative for a cosmetic company. She is paid $5.15 per hour each week plus a commission of 10% of the amount of sales over $5000. She works 40 hours one week, and she sells $7260 worth of cosmetics during that week. She has been offered a job for another cosmetic company that pays $5.00 per hour for a 40-hour work week plus a commission of 4% of total sales. Which job would pay more? Should she change jobs?
Jake’s Surf Shop rents surfboards for $6.00 plus $3.00 per hour. Rita’s rents them for $9.00 plus $2.50 per hour. Which is cheaper for which time intervals?
A. Rentals less than 6 hours are cheaper at Rita’s; Rentals more than 6 hours are cheaper at Jake’s.
B. Rentals are always cheaper at Jake’s.
C. Rentals less than 6 hours are cheaper at Jake’s; Rentals more than 6 hours are cheaper at Rita’s.
D. Rentals are always cheaper at Rita’s.
Two furniture salesmen are comparing their salaries. Tom is paid $5.00 per hour plus a 15% commission of his total sales. Bob is paid $9.00 per hour plus a 10% commission of his total sales. Suppose each has sold $5000 worth of furniture, who would make the most money and during which time intervals?
A. Tom always earns more than Bob.
B. Bob always earns more than Tom.

Publish by in Category decorating ideas at February 15th, 2019. Tagged with backyard putting green kits. backyard putting green kits home depot. buy putting green kits. diy putting green kits. home putting green kits. indoor putting green kits. modular putting green kits. outside putting green kits. putting green kits. putting green kits canada. putting green kits indoor. putting green kits ontario. putting green kits uk. putting green turf kits.
Putting Green Kits have 30 picture of decorating ideas, it's including Putting Green Kits Astounding Northwest Landscape Stone Supply Decorating Ideas 1. Putting Green Kits Amazing DIY Houston Turf Store Decorating Ideas 2. Putting Green Kits Sensational Achat Gree Synth Tique De Golf Decorating Ideas 3. Putting Green Kits Imposing Do It Yourself Greens Custom Decorating Ideas 4. Putting Green Kits Incredible Outdoor Artificial Greens Grass For Decorating Ideas 5.
Tags : backyard putting green kits. backyard putting green kits home depot. buy putting green kits. diy putting green kits. home putting green kits. indoor putting green kits. modular putting green kits. outside putting green kits. putting green kits. putting green kits canada. putting green kits indoor. putting green kits ontario. putting green kits uk. putting green turf kits.

Creative Arts East is an arts and community development charity, which focuses on engaging those communities, or their members, who face geographical, physical or other barriers to participating in the cultural life of their area. We do this by facilitating and leading high quality, stimulating arts and cultural activities in rural and disadvantaged communities across Norfolk, Suffolk and the wider eastern region.
We achieve our mission by supporting and enabling rural residents to run professional live performance and cinema events for their surrounding communities, alongside a portfolio of innovative projects which support education, health and wellbeing and skills development.
1) To inspire people to expand their individual creativity and broaden their cultural horizons.
2) To empower adults and young people to join together to enrich their communities.
3) To enhance the wellbeing of individuals within rural and disadvantaged communities .
4) To raise the skills and/or aspirations of rurally isolated and disadvantaged individuals and communities.
5) To be a highly efficient, innovative and effective organisation.
Creative Arts East is a member of the National Rural Touring Forum and Arts Marketing Association.
Creative Arts East is a registered centre for Arts Award.
Creative Arts East is participating in Prosper, a business support programme from Creative United. Prosper is designed to improve confidence and capabilities within business in the arts, museums and galleries. The programme is working with 70 businesses to help increase the resilience and investment across the sector.

Publish by in Category decorating ideas at April 20th, 2019. Tagged with backyard putting green kits. backyard putting green kits home depot. buy putting green kits. diy putting green kits. home putting green kits. indoor putting green kits. modular putting green kits. outside putting green kits. putting green kits. putting green kits canada. putting green kits indoor. putting green kits ontario. putting green kits uk. putting green turf kits.
Putting Green Kits have 30 picture of decorating ideas, it's including Putting Green Kits Implausible Northwest Landscape Stone Supply Decorating Ideas 1. Putting Green Kits Amazing DIY Houston Turf Store Decorating Ideas 2. Putting Green Kits Marvelous Achat Gree Synth Tique De Golf Decorating Ideas 3. Putting Green Kits Doubtful Do It Yourself Greens Custom Decorating Ideas 4. Putting Green Kits Shock Outdoor Artificial Greens Grass For Decorating Ideas 5.

How are you going to win? How will you differentiate yourself to gain competitive advantage?
With winning in mind, it is no accident that the word ‘Strategy’ is derived from ancient Greek and is a military term.
There are many examples of organisations that have NOT got their Strategic Thinking right and realised things were changing too late for them to get on the next ‘innovation curve’. Think of Kodak, Blockbuster Video or Nokia: all of these organisations failed to take account of changing technology and customer demand and, subsequently, paid the price.
When thinking strategically, there is always a trade off between what you would like to do (driven by the market, ideas, customers) and what is possible (constrained by regulation or resources, which includes money, skills, assets, etc.).
In essence, this means that Strategic Thinking requires an internal appraisal of the organisation’s Strengths and Weaknesses and an external appraisal of the organisation’s Opportunities and Threats. A SWOT analysis may sound simple, and it is in concept, but in reality it is rarely done well. A full SWOT should involve extensive data gathering, considerable market research and comprehensive analysis. It is not a quick ‘back of an envelope’ exercise, although many people treat it as such.
Once an internal and external appraisal is complete, then strategic options may be generated and this will require creative thinking, so brainstorming helps here. The brainstormed options will need to be carefully evaluated using decision criteria to reach a good conclusion. Common decision criteria include strategic attractiveness, implementation difficulty and acceptability to stakeholders.
So now that we have simplified the Strategic Thinking process, what about the practicalities of a management team actually following the process?
This process can be particularly tough because it often means deciding to wind down or stop familiar activities and re-invent the organisation and the way it operates. It was Kodak’s complacency, when confronted with the development of digital cameras, that cost them dear. It is often useful for an external facilitator to work with a senior management team to keep them on track with the process and help them to be objective.
I have found, when working with senior management teams, that a common mistake is to over complicate things. In his book ‘Good to Great’, Jim Collins describes the ‘Hedgehog Concept’ which means that an organisation should be able to explain how it will win – simply. A hedgehog wins (survives) by curling up into a prickly ball. An organisation may win by being the lowest cost provider (Aldi) or by product/service leadership (Apple) or by customer intimacy (many small businesses, indeed my own consultancy, Learning Curve, is known for this approach).
So, to simplify, Strategic Thinking is the process by which an organisation decides where it is going to play (e.g. countries, markets, sectors) and how it is going to win (e.g. cost, innovation, customer intimacy) through following a challenging process of internal appraisal, external appraisal, creative thinking and effective decision making.
People are more likely to follow if they understand where the organisation is going and their part in getting there. So, when leading strategic change, it is imperative that leaders help followers to be clear what their part is and why it is important.

Product code : 3661 Height 114.0 in. Proj 76.0 in. Width 64.0 in. Weight 245.0 kgs Weight 539.0 pounds.
Product code : 3661.1 Height 114.0 in. Proj 76.0 in. Width 64.0 in. Weight 293.0 kgs Weight 644.6 pounds.
Product code : 3661.4 Height 114.0 in. Proj 76.0 in. Width 64.0 in. Weight 300.0 kgs Weight 660.0 pounds.
Product code : 3661.2 Height 80.0 in. Proj 114.0 in. Width 64.0 in. Weight 241.0 kgs Weight 530.2 pounds.
Product code : 3603 Height 60.0 in. Proj 98.0 in. Width 21.0 in. Weight 151.0 kgs Weight 332.2 pounds.
Product code : 45 Height 55.0 in. Proj 57.0 in. Width 32.0 in. Weight 77.0 kgs Weight 169.4 pounds.
Product code : 3604 Height 68.0 in. Proj 77.0 in. Width 20.0 in. Weight 98.0 kgs Weight 215.6 pounds.
Product code : 3605 Height 68.0 in. Proj 77.0 in. Width 20.0 in. Weight 108.0 kgs Weight 237.6 pounds.
Product code : 3609 Height 68.0 in. Proj 77.0 in. Width 20.0 in. Weight 103.0 kgs Weight 226.6 pounds.
Product code : 3609-K Height 82.0 in. Proj 77.0 in. Width 34.0 in. Weight 149.0 kgs Weight 327.8 pounds.
Product code : 3662 Height 64.0 in. Proj 72.0 in. Width 41.0 in. Weight 113.0 kgs Weight 248.6 pounds.
Product code : 3662.1 Height 64.0 in. Proj 72.0 in. Width 41.0 in. Weight 130.0 kgs Weight 286.0 pounds.
Product code : 83 Height 87.0 in. Proj 57.0 in. Width 64.0 in. Weight 78.0 kgs Weight 171.6 pounds.
Product code : 8 Height 56.0 in. Proj 59.0 in. Width 18.0 in. Weight 56.0 kgs Weight 123.2 pounds.
Product code : 66 Height 87.0 in. Proj 57.0 in. Width 64.0 in. Weight 85.0 kgs Weight 187.0 pounds.
Product code : 54 Height 78.0 in. Proj 90.0 in. Width 21.0 in. Weight 131.0 kgs Weight 288.2 pounds.
Product code : 64 Height 84.0 in. Proj 108.0 in. Width 21.0 in. Weight 125.0 kgs Weight 275.0 pounds.
Product code : 4 Height 69.0 in. Proj 93.0 in. Width 24.0 in. Weight 144.0 kgs Weight 316.8 pounds.
Product code : 3660 Height 102.0 in. Proj 107.0 in. Width 29.0 in. Weight 245.0 kgs Weight 539.0 pounds.
Product code : 3670 Height 72.0 in. Proj 96.0 in. Width 18.0 in. Weight 144.0 kgs Weight 316.8 pounds.
Product code : 65 Height 51.0 in. Proj 48.0 in. Width 12.0 in. Weight 35.0 kgs Weight 77.0 pounds.
Product code : 6242 Height 51.0 in. Proj 48.0 in. Width 12.0 in. Weight 33.0 kgs Weight 72.6 pounds.
Product code : 6243 Height 51.0 in. Proj 48.0 in. Width 40.0 in. Weight 40.0 kgs Weight 88.0 pounds.
Product code : 6210 Height 53.0 in. Proj 48.0 in. Width 14.0 in. Weight 35.0 kgs Weight 77.0 pounds.
Product code : 6259 Height 17.0 in. Proj 24.0 in. Width 11.0 in. Weight kgs Weight pounds.
Product code : 6258 Height 42.0 in. Proj 49.0 in. Width 14.0 in. Weight 23.0 kgs Weight 50.6 pounds.
Product code : 6217 Height 24.0 in. Proj 58.0 in. Width 24.0 in. Weight 27.0 kgs Weight 59.4 pounds.
Product code : 86 Height 41.0 in. Proj 48.0 in. Width 18.0 in. Weight 39.0 kgs Weight 85.8 pounds.
Product code : 58 Height 54.0 in. Proj 19.0 in. Width 17.0 in. Weight 72.0 kgs Weight 158.4 pounds.
Product code : 58.1 Height 40.0 in. Proj 46.0 in. Width 24.0 in. Weight 38.0 kgs Weight 83.6 pounds.

Calculate the work done by an 85.0-kg man who pushes a crate 4.00 m up along a ramp that makes an angle of $20^\circ$ with the horizontal. (See Figure 7.35.) He exerts a force of 500 N on the crate parallel to the ramp and moves at a constant speed. Be certain to include the work he does on the crate and on his body to get up the ramp.
Figure 7.35 A man pushes a crate up a ramp.
This is College Physics Answers with Shaun Dychko. We're going to calculate the total work done by this person in moving themselves up the ramp as well as pushing the crate up the ramp. So the work that they do to push the crate up the ramp equals the force they exert on the crate which is 500 Newtons along the ramp and then the displacement along the ramp. So that's this term here. Then the work that the person does on themselves is going to be their change in gravitational potential energy which will be their weight multiplied by their change in height and that is the vertical height that we're concerned with there. So the vertical height we can find by multiplying the length of the ramp by sine theta because we're looking for this opposite leg of this ramp triangle. So we substitute d sine theta in for h here, and we get the work done by the person is the mass of the person times g, times d sine theta plus the force exerted on the crate multiplied by the length of the ramp. So we have 85 kilograms times 9.8 Newtons per kilogram times four meters times sine 20 degrees, plus 500 Newtons exerted on the crate multiplied by the four meter length of the ramp giving us 3.14 times ten to the three joules of work done by the person.

Product code : 3851 Height 72.0 in. Proj 48.0 in. Width 124.0 in. Weight kgs Weight pounds.
Product code : 3851.2 Height 74.0 in. Proj 48.0 in. Width 124.0 in. Weight kgs Weight pounds.
Product code : 3854 Height 26.5 in. Proj 14.0 in. Width 18.0 in. Weight kgs Weight pounds.
Product code : 3850 Height 31.0 in. Proj 13.0 in. Width 16.0 in. Weight kgs Weight pounds.
Product code : 3855-B Height 76.0 in. Proj 36.0 in. Width 40.0 in. Weight kgs Weight pounds.
Product code : 3856 Height 76.0 in. Proj 36.0 in. Width 40.0 in. Weight kgs Weight pounds.
Product code : 3858 Height 42.0 in. Proj 27.0 in. Width 39.0 in. Weight kgs Weight pounds.
Product code : 3855 Height 52.0 in. Proj 36.0 in. Width 40.0 in. Weight kgs Weight pounds.
Product code : 0063 Height 20.0 in. Proj 6.0 in. Width 6.0 in. Weight kgs Weight pounds.
Product code : 0063.1 Height 12.0 in. Proj 5.0 in. Width 5.0 in. Weight kgs Weight pounds.
Product code : 3853 Height 20.5 in. Proj in. Width 22.5 in. Weight kgs Weight pounds.
Product code : 3852 Height 17.0 in. Proj in. Width 22.5 in. Weight kgs Weight pounds.
Product code : 3859 Height 14.0 in. Proj in. Width 37.0 in. Weight kgs Weight pounds.
Product code : 3860 Height 13.0 in. Proj in. Width 28.0 in. Weight kgs Weight pounds.
Product code : 3857 Height 22.0 in. Proj in. Width 41.0 in. Weight kgs Weight pounds.
Product code : 3852.1 Height 24.0 in. Proj 24.0 in. Width 22.0 in. Weight kgs Weight pounds.
Product code : 3854.1 Height 25.0 in. Proj 18.0 in. Width 14.0 in. Weight kgs Weight pounds.
Product code : 3862 Height 42.0 in. Proj 26.0 in. Width 34.0 in. Weight kgs Weight pounds.
Product code : 3863 Height 52.5 in. Proj 44.0 in. Width 49.0 in. Weight kgs Weight pounds.
Product code : 3865 Height 74.0 in. Proj 48.0 in. Width 126.0 in. Weight kgs Weight pounds.

all clad wok 10 inch review copper core.
all clad wok d5 12 16 inch.
all clad wok copper core round bottom d5 stainless steel with lid.
all clad wok stainless steel reviews review copper core.
all clad wok copper core round bottom domed lid with.
all clad wok copper core round bottom stainless with lid.
all clad wok 12 non stick iron.
all clad wok 16 non stick stainless with lid.
all clad wok chinese round domed lid copper core bottom.
all clad wok hle ebay copper core.
all clad wok stainless steel with lid iron ebay.
all clad wok iron 12 stainless with lid.
all clad wok 12 inch copper core 14 10.
all clad wok copper core 14 inch with lid stainless steel.
all clad wok d5 reviews domed lid stainless with.
all clad wok cd copper core review 16 inch.
all clad wok copper core d5 reviews round bottom.
all clad wok mater tir underide read crafter 4 canonburg copper core stainless steel round bottom 16 review.
all clad wok copper core review 12.
all clad wok stainless steel round bottom 16 12 iron.
all clad wok stainless steel reviews 16.
all clad wok d5 reviews.
all clad wok 12 copper core round bottom stainless reviews.
all clad wok 12 review.
all clad wok review iron 10 inch.
all clad wok copper core d5 reviews.
all clad wok d5 copper core round bottom review.
all clad wok 16 inch stainless reviews.
all clad wok copper core 14 inch ebay.

Publish by in Category decorating ideas at March 15th, 2019. Tagged with black mongolian fur pillows. do mongolian fur throw pillows smell. ebay mongolian lamb fur pillows. mongolian fur lumbar pillows. mongolian fur pillows. mongolian fur pillows canada. mongolian fur pillows costco. mongolian fur pillows for sale. mongolian fur pillows sale. mongolian fur pillows white. mongolian fur pillows wholesale.
Mongolian Fur Pillows have 30 picture of decorating ideas, it's including Mongolian Fur Pillows Stagger Grey Pillow Z Gallerie Decorating Ideas 1. Mongolian Fur Pillows Astonish Silver Pillow Crate And Barrel Decorating Ideas 2. Mongolian Fur Pillows Phenomenal Amazon Com Brentwood 18 Inch Faux Pillow Natural Decorating Ideas 3. Mongolian Fur Pillows Breathtaking Faux Pillow Covers Pottery Barn Decorating Ideas 4. Mongolian Fur Pillows Awesome Lamb Pillow Covers West Elm Decorating Ideas 5.

Publish by in Category decorating ideas at March 7th, 2019. Tagged with black mongolian fur pillows. do mongolian fur throw pillows smell. ebay mongolian lamb fur pillows. mongolian fur lumbar pillows. mongolian fur pillows. mongolian fur pillows canada. mongolian fur pillows costco. mongolian fur pillows for sale. mongolian fur pillows sale. mongolian fur pillows white. mongolian fur pillows wholesale.
Mongolian Fur Pillows have 30 picture of decorating ideas, it's including Mongolian Fur Pillows Unbelievable Grey Pillow Z Gallerie Decorating Ideas 1. Mongolian Fur Pillows Silver Pillow Crate And Barrel Decorating Ideas 2. Mongolian Fur Pillows Unlikely Amazon Com Brentwood 18 Inch Faux Pillow Natural Decorating Ideas 3. Mongolian Fur Pillows Stunning Faux Pillow Covers Pottery Barn Decorating Ideas 4. Mongolian Fur Pillows Awesome Lamb Pillow Covers West Elm Decorating Ideas 5.

Ashley Qualls began her business in designing Myspace layouts at the age of 14. She didn’t need to rent out her own office, as she just used her basement at home for her new business. She made 70,000 dollars in the first few months and by the age of 17 she had earned over a million dollars. Her alternative millennial magazine website, Whateverlife, had so much potential that someone offered Qualls 1.5 million dollars for it, but Qualls turned it down. Looking back now, that was a smart choice, because by 2007, when Ashley Qualls was only 17 years old, she had made over a million dollars in ad revenue. She even spoiled herself by buying a 250,000 dollar house in cash! Qualls also felt that if she was grown up enough to make millions of dollars and buy her own house, she was also grown up enough to get legal emancipation, which meant that she could have the same legal status as an adult. And that is exactly what she did!
We can only wonder what further success awaits this young entrepreneur and hope that it inspires us to succeed in what we wish to do.

The stylish Garden Glory wall mount deluxe reindeer is a trendy and unique product for your house wall. The reindeer wall mount is a luxurious wall mount inspired by reindeer antlers and are also produced in Sweden. Together with hoses and nozzles from Garden Glory you can create a personal and glamorous garden tool that makes the gardening more fun. Who said that functional things always must be boring?
The idea of Garden Glory was born when Linda Brattlöf moved to a country house and realized that all hoses were green and orange. Linda wanted to have garden tools that could inspire her to go out and create a marvelous garden and took matters into her own hands. Her brand Garden Glory produces exclusive and high quality hoses with a fun twist with the motto “For glamorous people with dirty nails”.

Instagram is testing out a feature that groups users into college community lists, according to a CNBC report.
It’s a move following the beginnings of parent company Facebook, which started out as a college-exclusive social networking platform.
The service is intended for students currently enrolled in university, excluding alumni.
Some users have been prompted to join their college community to connect with other students, which adds the user to a class-based list. Joining the group lets the user add their university and graduating year to their profile. Users can view the group members’ public Stories and direct message them from the community lists.
It’s odd that verification doesn’t rely on an .edu email address or campus geolocation, but instead through “information people have publicly shared about their university, the accounts they follow and other connections they have,” according to CNBC. And it’s definitely not without its issues, as a reporter was able to join a college community group despite having graduated.
Instagram confirmed to The Verge that the feature is in the testing phase, and there are “tools to report inappropriate usage.” As more companies focus on catering to university students (including Tinder’s recent launch of its college-only service, Tinder U), it’s clear that they’ll have to take extra precautions to keep their platforms safe.

Image Title: Pastel Furniture Jr Hydraulic In Chrome Lift Bar Stools Remodel 15. Post Title: Pastel Furniture Bar Stools. Filename: pastel-furniture-jr-hydraulic-in-chrome-lift-bar-stools-remodel-15.jpg. Image Dimension: 687 x 687 pixels. Images Format: jpg/jpeg. Publisher/Author: Garnett Hagenes. Uploaded Date: Saturday - October 20th. 2018 07:56:27 AM. Category: Design. Image Source: homedsgn.com. Amazon Com Pastel Furniture BO 219 30 MB 142 Bostonian Swivel With Bar Stools Decor 9. Intricate Pastel Furniture Bar Stools Barstools Viking Casual With Regard To Ideas 10. Pastel Furniture OXford 30 Swivel Bar Stool In Ford Brown Throughout Stools Decor 14. Pastel Furniture Bar And Game Room Yreka Swivel Barstool YR 225 CH Within Stools Remodel 7. Amazon Com Pastel Furniture BO 219 26 BF 582 Bostonian Swivel Intended For Bar Stools Inspirations 3. Pastel Furniture Bar And Game Room Laguna Swivel Barstool LG 249 MB Throughout Stools Design 0. Pastel Furniture Bar Stool Designs With Stools Plan 13. Pastel Furniture Augusta 30 Swivel Bar Stool With Cushion AE 225 Inside Stools Plan 18. Pastel Furniture Jr Hydraulic In Chrome Lift Bar Stools Remodel 15. Pastel Furniture Amrita 30 Swivel Bar Stool In Ford Black Within Stools Inspirations 8.


There are 14.0 rulers and 34.0 crayons in a drawer.  Tim takes out 11.0 rulers from the drawer.  How many rulers are now in the drawer? Answer:

Out of sixty students, there are 14 who are taking Economics and 29 who are taking Calculus. What is the probability that a randomly chosen student from this group is taking only the Calculus class ?
Out of sixty students, there are 14 who are taking Economics and 29 who are taking Calculus. What is the probability that a randomly chosen student from this group is taking only the Calculus class ?
Answer : 2 7/15 Explanation : Answer: B) 7/15 Explanation: Given total students in the class = 60Students who are taking Economics = 24 andStudents who are taking Calculus = 32Students who are taking both subjects = 60-(24 32) = 60 - 56 = 4Students who are taking calculus only = 32 - 4 = 28probability that a randomly chosen student from this group is taking only the Calculus class = 28/60 = 7/15.

How many white dots should there be on the wings of the last ladybug?
Answer:Three. The difference between the number of black and white dots is always two. The last ladybug should have three white dots.

Question: There are several books on a bookshelf. If one book is the 4th from the left and 6th from the right, how many books are on the shelf?
Answer: 9. Try sketching the problem out to see it.
Haha. There could also be seventeen in that case.

Question: A farmer has 10 cows, all but six die. How many are left?
Answer: Six. If there were 10 cows and all except 6 were dead, then there would be 6 live cows.

An alloy contains gold and silver in the ratio 5 : 8 and another alloy contains gold and silver in the ratio 5 : 3. If equal amount of both the alloys are melted together, then the ratio of gold and silver in the resulting alloy is ?
An alloy contains gold and silver in the ratio 5 : 8 and another alloy contains gold and silver in the ratio 5 : 3. If equal amount of both the alloys are melted together, then the ratio of gold and silver in the resulting alloy is ?
Answer : 2 105/103 Explanation : Answer: B) 105/103 Explanation: As given equal amounts of alloys are melted, let it be 1 kg.Required ratio of gold and silver = 513 58813 38 = 105103. Hence, ratio of gold and silver in the resulting alloy = 105/103.

These are the best and most fun math riddles we can find. All of these tricky riddles are based on real math concepts and can be solved with purely math and logic.
Question: There are 6 sisters. Each sister has 1 brother. How many brothers are in the sisters' family?
Answer: 1 brother. If there was 6 brothers, each sister would have 6 brothers.

Question: A hobo picks up cigarette butts from the ground and can make a cigarette with 4 butts. If he finds 16 cigarette butts, how many cigarettes can he make?
Answer: 5. He makes 4 cigarettes with the 16 butts. Then he smokes them and has 4 more butts to make another cigarette.

1. Where do frogs usually live in the hot season?
Answer: Buried at the bottom of ponds.

Hemavathi cut a cake into two halves and cuts one half into smaller pieces of equal size. Each of the small pieces is fifteen grams in weight. If she has nine pieces of the cake in all with her, how heavy was the original cake ?
Hemavathi cut a cake into two halves and cuts one half into smaller pieces of equal size. Each of the small pieces is fifteen grams in weight. If she has nine pieces of the cake in all with her, how heavy was the original cake ?
Answer : 1 240 gms Explanation : Answer: A) 240 gms Explanation: The nine pieces consist of 8 smaller equal pieces and one half cake piece.Weight of each small piece = 15 g.So, total weight of the cake = [2 x (15 x 8)]g = 240 g.

How many tbsp of quinoa in 4 grams?
How many tbsp of quinoa in 4 grams?
(*) or precisely 0.35547 US tablespoon. All values are approximate.

Jane has 2 candies. Jack has 5 candies. If they each eat 1 candy, how many candies do they have left in total?
Answer: First we find out how many candies they have together.
5 + 2 = 7. Together, Jane and Jack have 7 candies. If they each eat one candy, then they ate 2 candies in total. So, we find out how many candies they have left by subtracting 2 from 7.
7 - 2 = 5. They have 5 candies left in total.
 Moe has to go 12 miles to his grandma's house. The first bus goes 3 miles. The second bus goes 4 miles. How many miles does Moe have left to go?
Answer: First we find out how far Moe travels on the two buses.
3 + 4 = 7. The distance Moe travels on the two buses together is 7 miles. We find out how far he has left to go by subtracting 7 from 12.
12 - 7 = 5. Moe has 5 miles left to go.
 What is 18 + 3 - 5 + 9?
 A box of cookies has 18 cookies. A crate of cookies has 12 boxes. How many cookies are in a crate?
Answer: We get the answer by multiplying 18 and 12.
18 x 12 = 216. There are 216 cookies in a crate.
 Joe went back-to-school shopping. He bought 3 binders that cost 2 zorons each, 4 packs of pencil crayons at 3 zorons each and 5 packs of lined paper at 7 zorons each. How much did he spend?
Answer:Whether you realize it or not, this is an order-of-operations problem. You multiply first, then add.
 A number is divided by 6. The quotient is 3 and the remainder is 2. What is the number?
Answer: We get the answer by working backwards.
 What is 3x9 - 2x8?
Answer: We have to remember the order of operations. We multiply first, then subtract.
 Bob bought a pop for 130 ducats and a bag of chips for 89 ducats. He gave the clerk 500 ducats. How many ducats should he get back?
Answer: First we find the total of Bob's purchase.
130 + 89 = 219. To find out how many ducats he should get back, we subtract 219 from 500.
500 - 219 = 281. Bob should get back 281 ducats.
 To convert radons to zurugons, you multiply each radon by 13 then subtract 51 from the product. How many zurugons are 62 radons?
Answer: This is a really hard problem. First we need the product.
62 x 13 = 806. Then the question says to subtract 51 from the product.
806 - 51 = 755. So, 62 radons is equivalent to 755 zurugons.
 A school bus holds 40 students. 90 students are going on a field trip. How many buses do they need?
Answer: Two buses hold 80 students and 3 buses hold 120. So, they need 3 buses in order to carry 90 students.
 What is the remainder when you divide 562 by 9?
Answer: 562 divided by 9 has a quotient of 62 and a remainder of 4.
 What is the quotient when you divide 437 by 11 using long division?
Answer: The quotient is 39. In case you were wondering, the remainder is 8.
 A number is multiplied by 8 and this answer is added to 99 and the final answer is 171. What is the original number?
Answer: We find the original number by working backwards. First we subtract 99 from 171.
171 - 99 = 72. Then we divide 72 by 8.
72 ¸ 8 = 9. The original number is 9.

Read out the two numbers.
Decide if the first number is "greater than", "less than", or "equal to" the second number.
Answer: Compare these numbers. The number 7 comes after 3 while counting. Hence 7 is greater than 3. Using mathematical symbols, "7 is greater than 3" can be written as 7 > 3.

A client with acquired immunodeficiency syndrome (AIDS) has histoplasmosis. The nurse should assess the client for which expected finding?
Answer: Option 1 is the correct answer.
Rationale: Histoplasmosis is an opportunistic fungal infection that can occur in the client with AIDS. The infection begins as a respiratory infection and can progress to disseminated infection. Typical signs and symptoms include fever, dyspnea, cough, and weight loss. Enlargement of the client’s lymph nodes, liver, and spleen may occur as well.
Test-Taking Strategy: Focus on the subject, manifestations of histoplasmosis. Recalling that histoplasmosis is an infectious process will help you to eliminate option 4. Because the client has AIDS and another infection, weight gain is an unlikely symptom and can be eliminated next. Knowing that histoplasmosis begins as a respiratory infection helps you to choose dyspnea over headache as the correct option.
Answer: Option 1 is the correct answer.
Rationale: Histoplasmosis is an opportunistic fungal infection that can occur in the client with AIDS. The infection begins as a respiratory infection and can progress to disseminated infection. Typical signs and symptoms include fever, dyspnea, cough, and weight loss. Enlargement of the client’s lymph nodes, liver, and spleen may occur as well.
Test-Taking Strategy: Focus on the subject, manifestations of histoplasmosis. Recalling that histoplasmosis is an infectious process will help you to eliminate option 4. Because the client has AIDS and another infection, weight gain is an unlikely symptom and can be eliminated next. Knowing that histoplasmosis begins as a respiratory infection helps you to choose dyspnea over headache as the correct option.
AIDS is a viral disease caused by HIV, which destroys T cells, thereby increasing susceptibility to infection and malignancy.The syndrome is manifested clinically by opportunistic infections and unusual neoplasms. AIDS is considered a chronic illness. The disease has a long incubation period, sometimes 10 years or longer.
Transmission occurs by the inhalation of spores, which commonly are found in contaminated soil.
Spores also are usually found in bird droppings.
Administer antiemetics, antihistamines, antipyretics, nd corticosteroids as prescribed.
Encourage coughing and deep breathing.
Monitor for nephrotoxicity from fungicidal medications.
Instruct the client to wear a mask and spray the floor with water before sweeping barn and chicken coops.

There is one big palace where 5 soldiers stay. Each soldier has 5 rooms. In each room there are 5 big tigers. Each big tiger has 5 little tigers. Each tiger has 4 legs. How many legs are there in the palace?
Answer: There are a total of 3010 legs in the palace.

4. How much dirt is there in a hole that measures 2 feet by 3 feet by 4 feet?
6. Billy was born December 28th, yet his birthday is always in the summer. How is this possible?
8. What was the President’s Name in 1975?
10. Which is correct, "The yolk of the egg are white" or "The yolk of the egg is white"?
Johnny’s mother had 3 children. The first child was named April. The second child was named May. What was the third child's name? Answer: Johnny.
2. A clerk at the butcher shop is 5 feet 10 inches tall and wears size 13 sneakers. What does he weigh? Answer: Meat.
How much dirt is there in a hole that measures 2 feet by 3 feet by 4 feet? Answer: There is no dirt in a hole.
Billy was born December 28th, yet his birthday is always in the summer. How is this possible? Answer: Billy lives in the Southern Hemisphere.
In California, you cannot take a picture of a man with a wooden leg. Why not? Answer: You can't take pictures with a wooden leg. You need a camera to take pictures.

As soon as picking out inexpensive seo, it will offer you a connection constructing product, when you now have a internet site to enhance solutions people furnish and you’ve got a great e-commerce buy the place people distribute solutions to help shoppers world wide. Connection constructing is important for a seo financial success, assisting you increase product equality, get shoppers aimed at your website and revel in a superb roi down the road.
All natural potential customers gets trickier together with trickier to obtain, nevertheless it’s the all natural potential customers that will makes it possible increase ones product together with get internet financial success. Consequently you might want to generate one-way links to make sure that people immediate shoppers aimed at your website every day.
Connection constructing emerges since inexpensive seo solutions with a few options. The foremost is instant together with this can be the an individual it’s best to refrain from. Instant one-way links are generally inexpensive, nonetheless they are generally on auto-pilot produced and for that reason somebody secured you’ve got an exceptional connection, which often can lead to people increasingly being penalised just by Yahoo. Additional selection is usually handbook connection constructing, the following will take time period and it is executed personally. Google search optimization skilled might run explore together with discover one-way links to help immediate for a online site, providing you will be seen as an vital aid just by yahoo constantly.
A great way you may origin one-way links may be to require these. When you will be utilizing an inexpensive seo product and people are attempting to regulate ones SEARCH ENGINE RANKING OPTIMIZATION exclusively by yourself, wondering agencies which were in connection with your enterprise sector in for some reason and tend to be deemed well-performing together with respected with regard to one-way links could help people increase. “If you do not inquire, you do not get hold of, inch can be a well-known declaring along with being the identical in regards to ones connection constructing, inquire brands, manufacturers together with sector commanders with regard to one-way links to aid immediate even more potential customers for a online site daily.
If you’re providing solutions inside your e-commerce retail store, in that case it can be worthy constructing internet associations with all your brands. Meet with brands approximately ones one-way links, cause them to assist you with all your connection constructing to never just assist you, nevertheless to help profit these down the road. Don’t forget ones brands are doing work independently SEARCH ENGINE RANKING OPTIMIZATION promotions, which translates to mean spreading one-way links together with you is usually an additional process to enable them to get even more shoppers together with earnings advancing.
Strangely enough, precisely what may well most people tend not to discover is usually that will information and facts charts nevertheless succeed In truth information and facts charts is a terrific aid and as well supplies shoppers using vital info quite possibly in need of. Relating a great information and facts chart for a web site can certainly help shoppers get the info needed and see your websites for more information and to brew a get.
Inexpensive seo will likewise present you with intrinsic one-way links. Intrinsic one-way links are generally since fundamental since ones usb one-way links. People assist you are more seen searching sites even though facilitating ones shoppers possess a more fun browsing encounter when working with a web site. Giving you shoppers using one-way links relating to the internet pages would make selection to your internet site better together with means shoppers see precisely what people need easily together with properly.
It can be vital in your inexpensive seo product that one-way links implemented are generally seen constantly together with any sort of destroyed one-way links together with low quality one-way links are generally deleted and improved. Yahoo is looking to get top quality one-way links, some sort of destroyed one-way links or maybe a chek out an undesirable top quality internet site can lead to people increasingly being penalised together with locating your enterprise dropping position with google search.

After a local art theft, six suspects were being interviewed.
Police know that exactly four of them told one lie each and all of the other statements are true.
Hint: If Alex had committed the crime, how many lies would there be?
Answer: Chris committed the crime.
If any other person had committed the crime there would not be exactly 4 lies told.

Steps Involved in scientiﬁc method are ?
Answer:Steps Involved in scientiﬁc method are Accumulated data —> Hypothesis –> Observation & experimentation —> New data —> Conclusion.
Answer:On the basis of collected facts and ﬁgures, a scientist formulates a factitive statement called Hypothesis.
Members of one species inhabiting the same are form__________?
Answer:Members of one species inhabiting the same are form Population.

A numismatist decides to divide his coin collection between his children.
The eldest gets 1/2 of the collection, the next gets 1/4, the next gets 1/5, and the youngest gets the remaining 49 coins.
How many coins are in the collection?
Hint: What do the fractions add to?
Answer: There are 980 coins in the collection.
490 + 245 + 196 + 49 = 980, as required.
and we know that there were 49 coins left, so 1÷20 of the collection is 49 coins.
Which means that the entire collection is 20 x 49 = 980 coins.

Fill in the blank with by, for or to.
Example: A scale is ____ measuring weight.
Answer: A scale is for measuring weight.
1. This key here is ____ opening the office door.
2. Medical students work in hospitals ____ get experience.
3. What did you do that ____? Now we'll never find it.
4. A thermometer is used ____ measure the temperature.
5. A thermometer is ____ measuring the temperature.