The graph of a limacon curve is given. Without using your graphing calculator, determine which equation is correct for the graph. [-5, 5] by [-5, 5]

A. r = 2 - 3 sin ?
B. r = 2 - 2 sin ?
C. r = 4 - sin ?
D. r = 3 - 2 sin ?


Answer: D

Mathematics

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Write the given decimal as an infinite series, then find the sum of the series, and finally, use the result to write the decimal as a ratio of two integers.0.616161 . . .

A.  
B.  
C.  
D.

Mathematics

Find the standard-form equation of the ellipse centered at the origin and satisfying the given conditions.An ellipse with vertices (±6, 0) and foci at (±3, 0)

A.  +  = 1
B.  +  = 1
C.  +  = 1
D.  +  = 1

Mathematics

Using the metric prefixes shown, change the following quantities:

a. 47,000 ê = _____________ kê = ___________ Mê b. 96,100,000 Hz = ____________ kHz = ___________ MHz c. 0.00216 A = __________ mA = __________ æA

Mathematics

Solve the problem.A stone thrown downward with an initial velocity of 39.2 m/sec will travel a distance of s meters, where  and t is in seconds. If a stone is thrown downward at 39.2 m/sec from a height of 514.5 m, how long will it take the stone to hit the ground? Round your answer to the nearest second.

A. 22 sec B. 8 sec C. 7 sec D. 15 sec

Mathematics