Solve the problem.The time it takes for a planet to make one revolution around the Sun is the planet's period. The period f(d) (in years) of a planet whose average distance from the Sun is d million kilometers is modeled by the equation f(d) = 0.0005443. What is the period of Venus, whose average distance from the Sun is 108 million kilometers? Round to the nearest year.

A. 6 yr
B. 11 yr
C. 26 yr
D. 1 yr

Answer: D

Mathematics

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Find all possible functions with the given derivative.y' = 4t - 

A. 2t2 - 10 + C
B. 4t2 - 10 + C
C. 4t2 -  + C
D. t2 - 5 + C

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Mathematics

Provide an appropriate response.Is  -1, -2, -4, -8, . . . an arithmetic sequence?

A. Yes B. No

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Mathematics

Solve the problem.A cross-section of an irrigation canal is a parabola. If the surface of the water is 33 ft wide and the canal is  deep at the center, how deep is it 1 ft from the edge?

A. 0.6 ft B. 0.3 ft C. 4.7 ft D. 4.4 ft

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Mathematics

Find the center, foci, and vertices of the ellipse. +   = 1

A. center at (0, 0)
foci at (0, -4) and (0, 4)
vertices at (0, -16), (0, 16)
B. center at (0, 0)
foci at (- 2, 0) and (2, 0)
vertices at (-4, 0), (4, 0)
C. center at (0, 0)
foci at (0, 4) and (2, 0)
vertices at (0, 16), (4, 0)
D. center at (0, 0)
foci at (0, - 2) and (0, 2)
vertices at (0, -4), (0, 4)

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Mathematics