Solve the problem.A bicyclist's average linear speed during a race was 36 miles per hour. His bicycle wheel has a 16-inch diameter. What was the angular speed of the wheel in revolutions per hour? Round to the nearest tenth.

A. 142,560 revolutions per hr
B. 2.3 revolutions per hr
C. 3781.5 revolutions per hr
D. 45,378.3 revolutions per hr


Answer: D

Mathematics

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Find the x-intercepts for the parabola whose equation is given. If the x-intercepts are irrational, round your answers to the nearest tenth.y = 2x2 + 2x - 144

A. x-intercepts (-8, 0) and (-9, 0) B. x-intercepts (8, 0) and (9, 0) C. x-intercepts (8, 0) and (-9, 0) D. x-intercepts (-8, 0) and (9, 0)

Mathematics

Evaluate the integral.

A.  tan2- 7 ln + C or   tan2+ 7 ln + C
B.  sec2- ln + C or   tan2- ln + C
C. 5 sec2+ 7 ln + C or  5 tan2+ 7 ln + C
D.  sec2- 7 ln + C or   tan2- 7 ln + C

Mathematics

Special products can be illustrated by using areas of rectangles. Use the figure to justify the special product  Give the monomial that represents the area of the white square.

A. b2 B. 2ab C. a2 D. ab

Mathematics

First rewrite the quadratic function in standard form by completing the square, then find any x-intercepts and any y-intercepts.f(x) = 3x2 + 10x + 4Give your answers in exact form.

A. x-intercepts:  and ; y-intercept: 4
B. x-intercepts:  and ; y-intercept: 0
C. x-intercepts:  and ; y-intercept: 4
D. x-intercepts:  and ; y-intercept: 0

Mathematics