Use the Comparison Test to determine if the series converges or diverges.

A. diverges
B. converges


Answer: B

Mathematics

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For a certain population the growth rate G, measured in thousands per year, depends on the population n, measured in thousands.  The relationship is

.
?
A:  Make a graph of G versus t. Include populations of up to 120,000 (corresponding to ).B:   Explain what is happening to the population at  thousand and at  thousand.C:  Over what population ranges is G negative?D:  Explain in practical terms what is happening to the population over the population ranges you found in part C.

What will be an ideal response?

Mathematics

Find the center and the radius of the circle.x2 + y2 = 100

A. (0, 0), r = 10 B. (0, 10), r = 100 C. (10, 10), r = 100 D. (0, 0), r = 100

Mathematics

Factor.27x6 + 64y6

A. (3x2 + 4y2)(9x4 - 12x2y2 + 16y4) B. (3x3 + 4y3)(9x3 - 12x3y3 + 16y3) C. (3x2 - 4y2)(9x4 + 12x2y2 + 16y4) D. (3x2 + 4y2)(9x4 + 16y4)

Mathematics

Find the quotient and simplify. ÷ 

A.
B.
C. z + 7
D.

Mathematics