Solve the problem.You drive 111 miles along a scenic highway and then take a 32-mile bike ride. Your driving rate is 5 times your cycling rate. Suppose you have no more than a total of 7 hours for driving and cycling. Let x represent your cycling rate in miles per hour. Write a rational inequality that can be used to determine the possible values of x. Do not simplify and do not solve the inequality.

A.  +  ? 7
B.  +  ? 7
C.  +  ? 7
D.  +  ? 7


Answer: C

Mathematics

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By calculating an appropriate number of terms, determine if the series converges or diverges. If it converges, find the limit L and the smallest integer N such that  for  otherwise indicate divergence.an = n tan 

A. L = 0, N = 28 B. L = 1, N = 28 C. L = 1, N = 6 D. diverges

Mathematics

Express the number in scientific notation.29,000,000,000

A. 2.9 × 10-9 B. 2.9 × 1010 C. 2.9 × 10-10 D. 2.9 × 109

Mathematics

Find the missing length(s) in the right triangle. If necessary, round to the nearest tenth.

A. b = 11; c = 15.6 B. b = 11; c = 242 C. b = 11; c = 22 D. b = 19.1; c = 22

Mathematics

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 O(E)=7:4, find P(E).

A.
B.
C.
D.

Mathematics