Solve the problem.A wheel is rotating at 5 radians/sec, and the wheel has a 100-inch diameter. To the nearest foot per minute, what is the linear velocity of a point on the rim?

A. 1,250 ft/min
B. 1,255 ft/min
C. 1,240 ft/min
D. 1,245 ft/min


Answer: A

Mathematics

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Solve the problem.A right circular cylinder is obtained by revolving the region enclosed by the line x = r, the x-axis, and the line  about the y-axis. Find the volume of the cylinder.

A. ?rh B. 2?r2h C. ?rh2 D. ?r2h

Mathematics

Solve the problem.A jet plane traveling at a constant speed goes 1200 miles with the wind, then turns around and travels for 1000 miles against the wind. If the speed of the wind is 50 mph and the total flight took 4 hours, find the speed of the plane.

A. 435 mph B. 605 mph C. 525 mph D. 550 mph

Mathematics

Sketch the graph and show all local extrema and inflection points.y = x + cos 2x, 0 ? x ? ?

A. Local minimum: ; local maximum:  
Inflection points:  and 

B. Local minimum: ; local maximum: 
Inflection point: 

C. No local extrema.
Inflection point: 

D. Local minimum: (1.444, -0.246); local maximum: (0.126, 1.031)
Inflection points: (0.785, 0.393) and (2.356, 1.178)

Mathematics

Write a mixed number to represent the measurement shown.Of the 178 students at a private school, 54 are sophomores. What fraction of the students are sophomores?

A.
B.
C.
D.

Mathematics