Solve the problem.A car is traveling at 35 mph. If its tires have a diameter of 27 inches, how fast are the car's tires turning? Express the answer in revolutions per minute. If necessary, round to two decimal places.

A. 871.46 rpm
B. 435.73 rpm
C. 2737.78 rpm
D. 450.73 rpm


Answer: B

Mathematics

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The magnitude M of a star is a measure of its brightness, and it is related to the relative intensity I of light reaching Earth from the star. The relationship is . Express relative intensity as a function of magnitude. ?

A.
B.
C.
D.

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Decide if the situation is a permutation or a combination and then answer the question.In how many ways can a student work 8 out of 10 questions on an exam?

A. Combination; 45 B. Permutation; 100,000,000 C. Combination; 16 D. Permutation; 90

Mathematics

Solve the problem.The annual population density of a species of insect after n years is modeled by a sequence. Suppose that the initial density of insects is 662 with r = 0.7. Write a recursive sequence that describes this data, where an  denotes the insect density during year n.

A. an = 0.7 an+1  , a1 = 331
B. an = 0.7 an-1  , a1 = 662
C. an =   , a1 = 662
D. an = 0.7 + an-1  , a1 = 662

Mathematics

Use trigonometric identities to solve each equation in the interval [0, 2?]4 sin2 x = 4 cos x + 1

A.
B.
C. ?
D.

Mathematics