Solve the problem.The time in hours it takes a satellite to complete an orbit around the earth varies directly as the radius of the orbit (from the center of the earth) and inversely as the orbital velocity. If a satellite completes an orbit  above the earth in  at a velocity of  how long would it take a satellite to complete an orbit if it is at 

style="vertical-align: -4.0px;" /> above the earth at a velocity of  (Use  as the radius of the earth.) Round your answer to the nearest hundredth of an hour.



A. 28.07 hours

B. 20.65 hours

C. 5.1 hours

D. 206.49 hours

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Answer: B

Mathematics

Express the given function as a composite of functions f and g such that y = f(g(x)).y = 

A. f(x) = , g(x) = - 
B. f(x) = , g(x) = x - 3
C. f(x) = , g(x) = x² - 3
D. f(x) = , g(x) = x² - 3

Factor completely. If the polynomial is prime, state so.512p3 + 1

A. (8p + 1)(64p2 + 8p + 1) B. (8p + 1)(64p2 - 8p - 1) C. (8p + 1)(64p2 - 8p + 1) D. (8p + 1)(64p2 + 1)

Graph the linear inequality.2x + 5y ? 10

A.

B.

C.

D.

Solve the problem.The graph of y = f(x) gives the speed limit y along a rural highway after traveling x miles. (i) Evaluate f(12), f(33), and f(36). (ii) At what x-values is the graph discontinuous?

A. 60, 60, 75; f(6), f(12), f(18), f(36), and f(42) B. 75, 67.5, 75; f(12), f(18), f(30), f(36), and f(42) C. 67.5, 75, 90; f(6), f(12), f(18), f(30), and f(36) D. 60, 75, 75; f(3), f(12), f(24), f(30), and f(36)