Solve the problem. Express your answer in scientific notation, rounding as needed.Assume that the volume of the earth is 5 × 1014 cubic meters and the volume of a bacterium is  cubic meters. If the earth could be filled with bacteria, how many would it contain?

A. 2.0 × 10-30 bacteria
B. 5.0 × 1031 bacteria
C. 5.0 × 10-31 bacteria
D. 2.0 × 1030 bacteria


Answer: D

Mathematics

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Determine whether the given number is approximate or exact.The history class has 104 students.

A. Approximate B. Exact

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Provide an appropriate response.Which of the following is not a condition for applying the integral test to the sequence {an}, where  I. f(x) is everywhere positive II. f(x) is decreasing for x ? N III. f(x) is continuous for x ? N

A. All of these are conditions for applying the integral test. B. I only C. II only D. III only

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Find the Taylor series generated by f at x = a.f(x) = x3 + 8x2 + 5x - 9, a = -2

A. (x + 2)3 + 2(x + 2)2 - 25(x + 2) + 5 B. (x + 2)3 - 2(x + 2)2 - 25(x + 2) - 5 C. (x + 2)3 - 2(x + 2)2 - 15(x + 2) - 5 D. (x + 2)3 + 2(x + 2)2 - 15(x + 2) + 5

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Write the number in scientific notation.0.000421

A. 4.21 × 10-3 B. 4.21 × 10-4 C. 4.21 × 10-5 D. 4.21 × 104

Mathematics