Solve the problem.A wheel with radius 3 m rolls at 20 rad/s. How fast is a point on the rim of the wheel rising when the point is  radians above the horizontal (and rising)? (Round your answer to one decimal place.)

A. 15.0 m/s
B. 30.0 m/s
C. 60.0 m/s
D. 120.0 m/s


Answer: B

Mathematics

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Find the distance between the pair of points. Give an exact answer.(7, 4) and (-6, -5)

A. 88 units
B. 5 units
C. 88 units
D. 4 units

Mathematics

Solve using a calculator, finding all solutions in [0, 2?). Round to the nearest hundredth.sin 4x + sin 2x = - 2cos x

A. 0.86, 1.57, 2.28, 4.71 B. 3.67, 5.76 C. 0.52, 1.57, 2.62, 4.71 D. 1.57, 3.67, 4.71, 5.76

Mathematics

Sketch the graph of the function. Also, find the domain and range of the function.f(x) = 

A. domain: x ? -1; range: y ? 0

B. domain: x ? 0; range: y ? -1

C. domain: x ? 1; range: y ? 0

D. domain: x ? 0; range: y ? 1

Mathematics

Find the value of the probability of the standard normal variable Z corresponding to the shaded area under the standard normal curve. Round your answer to four decimal places. ? ? ?

A. ?0.0516 B. ?0.1056 C. ?0.1488 D. ?0.7968 E. ?0.2640

Mathematics