Simplify. If an expression does not represent a real number, state this.-

A. -5x
B. -125x
C. 5x3
D. 5x


Answer: D

Mathematics

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Find the unit tangent vector of the given curve.r(t) = (5t cos t - 5 sin t)j  + (5t sin t + 5 cos t)k

A. T = (-sin t)j  + (cos t)k
B. T = (5 cos t)j  - (5 sin t)k
C. T = - (sin t)j  + (cos t)k
D. T = (-5 sin t)j  + (5 cos t)k

Mathematics

Solve the problem.After a person stops pedaling a bicycle, the wheel rotates 240 times the first minute. Each subsequent minute, it rotates  as many times as in the previous minute. How many times will the wheel rotate before coming to a complete stop?

A. 2160 rotations B. 4080 rotations C. 270 rotations D. 4320 rotations

Mathematics

Solve the problem.Suppose that $2200 is invested and increases at 6% per year. Find the function f giving the value of the investment in year t ? 0.

A. f(t) = 2200(1.6)t B. f(t) = 1.06(2200)t C. f(t) = 2200(1.06)t D. f(t) = 2200(0.06)t

Mathematics

The weight of an object on Earth is 6 times greater than what it is on the moon. The weight of the astronaut on the Earth is 246. What would the astronaut weigh on the moon? 

A. 1,476 B. 41 C. 1,475 D. 42 E. 246

Mathematics