Solve the problem.The earth, Jupiter, Saturn, and Neptune all revolve around the sun. The earth takes 1 year, Jupiter approximately 12 years, Saturn approximately 30 years, and Neptune approximately 165 years to make a complete revolution. How often will Jupiter, Saturn, and Neptune appear in the same direction in the night sky as seen from earth?[Hint: Find the LCM of 12, 30, and 165]

A. Every 330 years
B. Every 1980 years
C. Every 3300 years
D. Every 660 years


Answer: D

Mathematics

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Find the intervals over which the given function is increasing, is decreasing, or is constant.f(x) = 2x + 4

A. increasing on (-?, ?) B. constant on (2, 4) C. decreasing on (-?, ?) D. decreasing on (-?, 2/4); increasing on (2/4, ?)

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Determine the limit.

A. 0
B. - 3
C.
D. ?

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Differentiate.f(x) = (2x2 - 3)5 - (1 + 4x3)5

A. f'(x) = 5(2x2 - 3)4 - 5(1 + 4x3)4 B. f'(x) = 20x(2x2 - 3)4 - 12x2(1 + 4x3)4 C. f'(x) = (20x - 3)(2x2 - 3)4 - (1 + 60x2)(1 + 4x3)4 D. f'(x) = 20x(2x2 - 3)4 - 60x2(1 + 4x3)4

Mathematics

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 16,000 ft.

A. 54.85 in. B. 16.32 in. C. 1.22 in. D. 8.16 in.

Mathematics