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 and Neptune appear in the same direction in the night sky as seen from earth?[Hint: Find the LCM of 12 and 165]

A. Every 1980 years
B. Every 330 years
C. Every 660 years
D. Every 1320 years


Answer: C

Mathematics

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Find the point(s) at which the given function equals its average value on the given interval.f(x) = ax + b; [1, 9]

A. 3
B. 6
C.
D. 5

Mathematics

The graph of an exponential function is given. Match the graph to one of the following functions.

A. f(x) = 5x - 1 B. f(x) = 5x - 1 C. f(x) = 5x + 1 D. f(x) = 5x

Mathematics

Solve the problem.A hotel in the process of renovationg states that 45% of guest rooms are updated. If 37 rooms are not yet updated, find the total number of rooms in the hotel. Round to the nearest whole number.

A. 200 rooms B. 7 rooms C. 67 rooms D. 20 rooms

Mathematics

Find the median.Salaries of doctors: $141,000, $122,000, $189,000, $224,000, $222,000, $144,000,  $813,000, $218,000, $155,000

A. $189,000 B. $172,000 C. $261,000 D. $235,000

Mathematics