Solve the problem.A restaurant manager gets a weekend off every 8 weeks. The manager is planning a trip for next year. If he has already worked 2 weekends in a row following a weekend off, what is the first week, after 49 weeks from this week, that he will have a weekend off?

A. 53
B. 56
C. 54
D. 55


Answer: C

Mathematics

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Solve the problem.The barometric pressure p at an altitude of h miles above sea level satisfies the differential equation   If the pressure at sea level is 29.92 inches of mercury, find the barometric pressure at 27,000 ft.

A. 83.2 in. B. 5.38 in. C. 0.14 in. D. 10.76 in.

Mathematics

Find the function with the given derivative whose graph passes through the point P.f'(x) = x - 9, P(3, -9)

A. f(x) = x2 - 9x + 9
B. f(x) =  - 9x + 
C. f(x) = x2 - 9x
D. f(x) =  - 9x + 

Mathematics

Provide an appropriate response. Solve the given problem, using decimal equations:If you drove 487 miles at 60 miles per hour, how long did your trip take?

A. 0.12 hours B. 5.53 hours C. 427 hours D. 8.12 hours

Mathematics

Use the FOIL method to find the products.(-3x + 6)(x + 7)

A. -3x2 - 15x - 15 B. -3x2 - 17x + 42 C. -3x2 + 42x - 15 D. -3x2 - 15x + 42

Mathematics