Solve the problem.The approximate monthly average temperatures in degrees Fahrenheit in a certain city can be approximated by the function  f(x) = -0.005x6 + 0.31x4 - 6.14x2 + 77with domain {x|-6 ? x ? 6}. Here x represents the month with  corresponding to July. In most cities average temperatures decrease from July to December. What month violates this trend in this particular city?

A. August
B. September
C. October
D. November


Answer: D

Mathematics

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A value of sinh x or cosh x is given. Use the definitions and the identity  to find the value of the other indicated hyperbolic function.sinh x = , sech x =

A.
B.  
C.
D.  

Mathematics

Find the indicated probability. Round your answer to 6 decimal places when necessary.In January in a certain city the unconditional probability of rain on any given day of the month is 0.400. But the probability of rain on a day that follows a rainy day is 0.600 and the probability of rain on a day following a nonrainy day is 0.250. Find the probability of rain on three randomly selected consecutive days in January.

A. 0.064 B. 0.216 C. 0.090 D. 0.144

Mathematics

Calculate the total amount due to the IRS from the firm.The Book Mart collected $1,485.31 FICA, $347.37 medicare, and  federal withholding tax from employees.

A. $5,471.69 B. $3,986.38 C. $5,124.32 D. $3,639.01

Mathematics

Solve the system by the addition method, if possible.  If a solution exists, give the value of x. ? ?

A. -9 B. -12 C. -2 D. -6 E. no solution

Mathematics