Answer:
36π inches which is 113.10 inches to the nearest hundredth
Step-by-step explanation:
The circumference = 12 * π
Rotating 3 times the distance moved is 3 * 12π.
(1) From the information given, if we want to choose 5 colors from 8 distinct colors and the order in which the selection is made is relevant, then what we have is a permutation.
The formula is given as;

This formula means we need to select/arrange r items out of a total of n items and the anwer derived would be the total number of arrangements possible.
Therefore, we would have;

Therefore, if the order is relevant, this selection can be done in 6,720 ways.
(2) If the order is NOT relevant, then what we need to calculate is a combination and the formula is;

The formula can now be applied as follows;

If the order is not relevant, then the selection can be done in 56 ways.
Answer:
x + 3y = 5
5x - 3y = 7
Add up both equations, then:
6x = 12
=> x = 2
=> y = (5 - 2)/3 = 1
Answer:
Step-by-step explanation:
F(x) = (x - 2)(x - 9)(x + 4)²(x + 5)