Determine convergence or divergence of the alternating series.

A. Converges
B. Diverges


Answer: A

Mathematics

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P(E) is the probability of an event E occurring, and O(E) is the odds of an event E occurring. Solve the following problem.If P(E)=, find O(E).

A. 1:1 B. 2:1 C. 1:3 D. 1:2

Mathematics

Find the indicated cross product.v = -5i - 4j, w = 5i + 5kFind v × w.

A. -20i + 25j - 20k B. 20i + 20j - 25k C. -25j - 20k D. -20i + 25j + 20k

Mathematics

Estimate the indicated component or components of the vector. Round to an appropriate number of significant digits. = 49.7, ? = 64.5°; Find the horizontal and vertical components of v.

A. horizontal = 21.4, vertical = 44.9 B. horizontal = -21.4, vertical = -44.9 C. horizontal = -44.9, vertical = -21.4 D. horizontal = 44.9, vertical = 21.4

Mathematics

Solve the problem.A spherical balloon is being inflated. Find the approximate change in volume if the radius increases from 5.6 cm to 5.8 cm.

A. 25.088? cm3 B. 125.44? cm3 C. 0.896? cm3 D. 234.15 cm3

Mathematics