Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative.u(2) = 10, u '(2) = 4, v(2) = -3, v '(2) = -5.  at x = 2

A.
B. - 
C. - 
D. - 


Answer: D

Mathematics

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Solve the problem.$23,200,000 of the budget at a school comes from the state. If this represents 58% of the school's total budget, then what is the school's total budget?

A. $200,000,000 B. $40,000,000 C. $4,000,000,000 D. $80,000,000

Mathematics

Solve the problem.The function f(t) = -0.13t2 + 0.5t + 30.5 models the U.S. population in millions, ages 65 and older, where t represents years after 1990. The function g(t) = 0.55t2 + 11.62t + 108 models the total yearly cost of Medicare in billions of dollars, where t represents years after 1990. What does the function  represent? Find (15).

A. Cost per person in thousands of dollars. $0.02 thousand B. Cost per person in thousands of dollars. $8.11 thousand C. Cost per person in thousands of dollars. $0.17 thousand D. Cost per person in thousands of dollars. $46.41 thousand

Mathematics

Solve the equation by expressing each side as a power of the same base and then equating exponents. 4(7 - 3x) = 

A. {3}
B. {-3}
C. {4}
D.

Mathematics

The following figure is divided into regions of equal area. Write a fraction that represents the shaded portion of the figure. Then write the fraction in simplest form.

A.
B.
C.
D.
E.

Mathematics