Express the unit vector as indicated.Express the unit vector u = (cos ?)i + (sin ?)j in the same direction as the vector 3i - 11j

A. i - j
B. i - j
C. i + j
D. i + j


Answer: B

Mathematics

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Find the indicated probability.The following table displays a distribution for a group of retired people by career and age at retirement. Suppose one of these people is selected at random. Compute the probability that the person selected was an attorney and that they retired between 61 and 65. Round your answer to the nearest thousandth.

A. 0.119 B. 0.238 C. 0.282 D. 0.422

Mathematics

Rewrite the expression as the sum and/or difference of logarithms, without using exponents. Simplify if possible.log2

A. 8 log2x + 7 log2y + log25 B. (8 log2x)(7 log2y) - log25 C. 8 log2x - 7 log2y - log25 D. 8 log2x + 7 log2y - log25

Mathematics

About 22% of the population watches the evening television news coverage as well as the morning soap operas. If 80% of the population watches the news, what percent of those who watch the news also watch the soaps? Round your answer to the nearest percent. ?

A. 80% B. 28% C. 32% D. 22%

Mathematics

Solve the polynomial equation.(2x + 9)2(8 - x)2 = 0

A. -9, 8
B. - , -8, 8
C. - , 8
D. , -8

Mathematics