Solve the problem.Given that the polar equation r = a(1 - e2)/(1 + e cos ?) models the orbits of the planets, estimate the closest approach of Pluto's orbit, for which  and  to the sun.

A. About 50 astronomical units
B. About 39 astronomical units
C. About 74 astronomical units
D. About 30 astronomical units


Answer: D

Mathematics

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Solve the problem.A certain store has a fax machine available for use by its customers. The store charges $2.05 to send the first page and $0.60 for each subsequent page. Use an inequality to find the maximum number of pages that can be faxed for $10.45

A. at most 55 pages B. at most 17 pages C. at most 14 pages D. at most 5 pages

Mathematics

Use the rules for exponents to rewrite the expression and then evaluate the new expression. (-2)2(-2)3

A. -64
B. -32
C.
D.

Mathematics

The rectangular coordinates of a point are given. Express the point in polar coordinates with  and (-, -)

A. (4, 225°)
B. (, 135°)
C. (2, 315°)
D. (2, 225°)

Mathematics

Solve the problem.The population of rabbits varies with the season due to migration, birth and death. The number, N, of rabbits during month x on a certain midwestern farm can be estimated with the following graph. 1=January, 2=February, and so on. During which months are there approximately 140 rabbits on the farm?

A. August and September B. July and August C. May and June D. June and September

Mathematics