Solve the problem.A loaded moving truck is traveling 30 mph faster than a freight train. In the time it takes the train to travel 60 miles, the truck travels 120 miles. Find the speed of the truck.
A. 120 mph
B. 12 mph
C. 30 mph
D. 60 mph
Answer: D
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Find the unit tangent vector of the given curve.r(t) = (5 sin3 8t)i + (5 cos3 8t)j
A. T = (5 sin 8t)i - (5 cos 8t)j B. T = (120 sin 8t)i -(120 cos 8t)j C. T = (5 cos 8t)i - (5 sin 8t)j D. T = (sin 8t)i - (cos 8t)j
Provide an appropriate response.Find the 10th term of the geometric sequence $1000, $1060, $1123.60, . . . .
A. $10,600 B. $1790.85 C. $1689.48 D. $1593.85
Solve the problem.For what numbers x, 0 ? x ? 2?, does sin x = -1?
A. ,
B. ?
C.
D. none
Solve the problem.A rotating beacon is located 6 ft from a wall. If the distance from the beacon to the point on the wall where the beacon is aimed is given by a = 6|sec (2?t)| , where t is in seconds, find a when t = 0.37 seconds. Round your answer to the nearest hundredth.
A. 11.94 ft B. 15.11 ft C. 8.76 ft D. -8.76 ft