Which of the following statements accurately compares f(x) and g(x)? Choose all that apply.
f(x) = 30(1.2)*
1
2
3
g(x)
30
39
50.7
65.91
O A. The growth factor of g(x) is less than the growth factor of f(x).
B. The initial values of f(x) and g(x) are the same.
C. The decay factor of f(x) is less than the decay factor of g(x).
D. The growth factor of f(x) is less than the growth factor of g(x).

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Step-by-step explanation:

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It will take 0.989 second to attain this speed

Step-by-step explanation:

In this question, we want to calculate the time it will take for the wheel of the machine to attain the given rotational speed

We proceed as follows;

From the question, we can identify the following parameters

Rotational acceleration of the wheel is, α = 180 rad/s^2

Initial spinning rotational speed of the wheel is, ω= 0 rpm

1 rpm = (1/60) revolution per second = 2π * (1/60) rad/s

Thus,

initial rotational speed ωi = 0 rad/s

Final spinning rotational speed ωf of the wheel is, = 1700 rpm =178.02 rad/s

Now, from the equations of motion (for rotational motions),

ωf = ωi + αt

where t is the time taken by the wheel to attain its final rotational speed.

178.02= 0 + 180 * t

t = 178.02/180

t = 0.989 second