Establish the identity. = 

What will be an ideal response?


 =   =  = .

Mathematics

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Solve.The variable w varies inversely as p with negative variation constant k. For positive values of p, what happens to the value of w as the value of p increases? For negative values of p, what happens to the value of w as the value of p increases?

A. It decreases; it increases B. It increases; it increases C. It decreases; it decreases D. It increases; it decreases

Mathematics

Use quadratic regression to model the following data. Round your answers to two decimal places, if necessary.  x 1.44 3.11 5.43 6.87 8.15 y 7.93 3.65 4.41 6.14 8.77?

A. ?
B.
C. ?
D. ?

Mathematics

Decide whether the given set of numbers is a group under the given operation.Whole numbers; multiplication

A. Yes B. No

Mathematics

Solve the problem.After retirement, Kelly's company offers her two options for receiving her retirement pension. According the the first plan, she will receive monthly payments from a variable annuity that initially pays  per month then decreases each month at a rate of  per month per year. Optionally, she may choose a plan that pays her a fixed amount of per month for the rest of her life. The monthly payments for the two plans are illustrated in the graph

below. After how many years does the variable plan pay less per month than the fixed plan?

A. 9 years
B. 8 years
C. Up to 8 years
D. The variable plan always pays less.

Mathematics