Division by zero is undefined. That is a impossible question
Answer:
Determine the domain and range of a logarithmic function.
Determine the x-intercept and vertical asymptote of a logarithmic function.
Identify whether a logarithmic function is increasing or decreasing and give the interval.
Identify the features of a logarithmic function that make it an inverse of an exponential function.
Graph horizontal and vertical shifts of logarithmic functions.
Graph stretches and compressions of logarithmic functions.
Graph reflections of logarithmic function
Step-by-step explanation:
Answer:

Step-by-step explanation:
The last one is also the answer
Using the rational exponet rule,
![\sqrt[n]{ {x}^{m} } = x {}^{ \frac{m}{n} }](https://tex.z-dn.net/?f=%20%5Csqrt%5Bn%5D%7B%20%7Bx%7D%5E%7Bm%7D%20%7D%20%20%3D%20x%20%7B%7D%5E%7B%20%5Cfrac%7Bm%7D%7Bn%7D%20%7D%20)
Using this number,

40 is the base so it will stay same. Remember this is a square root sign so our nth root is 2 so our denominator if the rational exponet is 2.

so our numerator is 1 so

OM and OP will coincide a second time after 120 seconds. You could visualize it as ray OP moving at 3 degrees/second relative to OM.
Using this visualization, we find that OM makes 30*60*3/360 rotations (minutes * 60 * rotational speed/360 degrees in a rotation), which is 15, and that OP makes 30*60*6/360 or 30 rotations, which is 15 more than OM.