Solve the problem.A wheel is rotating at 3 radians/sec, and the wheel has a 70-inch diameter. To the nearest foot per minute, what is the velocity of a point on the rim?
A. 515 ft/min
B. 525 ft/min
C. 530 ft/min
D. 520 ft/min
Answer: B
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Solve the problem.On a Touch Tone phone, each button produces a unique sound. The sound produced is the sum of two tones and is given by and y = sin (2?ht), where l and h are the low and high frequencies (in hertz = Hz) associated with that button.
The tone produced is thus given by y = sin (2?lt) + sin (2?ht). Write an expression that models the tone by pressing the "5" button as a product of sines and cosines.
A. y = 2 sin (2247?t) cos (707?t) B. y = 2 sin (707?t) cos (2247?t) C. y = 2 sin (566?t) cos (2106?t) D. y = 2 sin (2106?t) cos (566?t)
Find the mode of the set of numbers.109, 141, 156, 109, 188, 199, 162
A. 86 B. 109 C. 141 D. 156
Solve the problem.Suppose there are 6 roads connecting town A to town B and 7 roads connecting town B to town C. In how many ways can a person travel from A to C via B?
A. 13 B. 42 C. 36 D. 49
Factor the trinomial completely.42m2 + 61mn + 14n2
A. (6m + 7n)(7m + 2n) B. (6m + 7n2)(7m + 2) C. (6m - 7n)(7m - 2n) D. (6m + 2n)(7m + 7n)