The polar coordinates of a point are given. Find the rectangular coordinates of the point.

A.
B.
C.
D.


Answer: B

Mathematics

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Find the derivative.s = 4t2 + 9t + 4

A. 8t2 + 9 B. 8t + 9 C. 4t2 + 9 D. 4t + 9

Mathematics

The foci F1 and F2, the vertices V1 and V2, and the endpoints U1 and U2 of the minor axis are as labeled in the figure. Graph the ellipse and find its standard equation. (The coordinates of V1, V2, U1, and U2 are integers, and the coordinates of F1 and F2 are given.)

A.  -  = 1

B.  +  = 1

C.  +  = 1

D.  -  = 1

Mathematics

Solve the problem.Coyotes are one of the few species of North American animals with an expanding range. The future population of coyotes in a region of Mississippi can be modeled by the equation , where t is time in years. Use the equation to determine when the population will reach 150. (Round to the nearest tenth of a year.)

A. 994.5 years B. 181,387,483 years C. 994.3 years D. 994.6 years

Mathematics

Solve the problem.A 5-card hand is dealt from a deck of 52 cards. What is the probability thata) none are queens?b) all are queens?

A. a) 0 b) 0.07487 B. a) 0.65884 b) 0 C. a) 0 b) 0.65884 D. a) 0.07487 b) 0

Mathematics