Solve the problem.Elissa wants to set up a rectangular dog run in her backyard. She has 20 feet of fencing to work with and wants to use it all. If the dog run is to be x feet long, express the area of the dog run as a function of x.

A. A(x) = 10x - x2
B. A(x) = 12x2 - x
C. A(x) = 11x - x2
D. A(x) = 9x - x2


Answer: A

Mathematics

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Solve the problem.According to a country's census, the population (to the nearest million) was 251 in Year 0 and 299 in Year 10. The projected population for Year 50 is 442. To construct a logistic model, both the growth and carrying capacity must be estimated. (a) Estimate r by assuming that t = 0 corresponds to Year 0 and that the population between Year 0 and Year 10 is exponential; that is, the population is given by  Round the value of r to four decimal places, if necessary.(b) Write the solution to the logistic equation using the estimated value of r and use the projected value P(50) = 442 million to find an estimation for the value of the carrying capacity K. Round to

the nearest million. A. (a) r = -1.0175 (b) K = 292 million B. (a) r = -0.0175 (b) K = 192 million C. (a) r = 0.0175 (b) K = 969 million D. (a) r = 1.0175 (b) K = 1,069 million

Mathematics

Simplify.[5(x - 4) - 7] + [9(x - 1) + 9]

A. 5x - 36 B. 14x - 11 C. 14x - 7 D. 14x - 27

Mathematics

Graph the function.y = -3 csc 

A.

B.

C.

D.

Mathematics

Provide an appropriate response.If interest is compounded monthly at 7% per year for 5 years, explain how to find the number of compounding periods and the interest rate per compounding period.

What will be an ideal response?

Mathematics