Answer:
c) πr2h is the answer
Step-by-step explanation:
Answer:

is the system of equations representing the situation.
Step-by-step explanation:
Given:
Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.
Now, to find the system of equations representing the situation.
<u><em>Let the number of haircuts be </em></u>
<u><em /></u>
<u><em>Let the number of hair dyes be </em></u>
<u><em /></u>
So, Alexandra can give 3 haircuts and 2 hair dyes in:

Now, giving 2 haircuts and 4 hair dyes in:

Therefore,

is the system of equations representing the situation.
Answer:
5-day growth factor is 27.027-inch
Step-by-step explanation:
Given;
the initial height of the sunflower = 10-inch
the rate at which the height increases = 22%
time of growth = 5 days
To calculate 5-days growth factor, we apply the formula below, since it grows exponentially;
![=10-inch [1+\frac{22}{100}] ^5\\\\= 10-inch(2.7027)\\\\= 27.027-inch](https://tex.z-dn.net/?f=%3D10-inch%20%5B1%2B%5Cfrac%7B22%7D%7B100%7D%5D%20%5E5%5C%5C%5C%5C%3D%2010-inch%282.7027%29%5C%5C%5C%5C%3D%2027.027-inch)
Therefore, 5 day growth factor is 27.027-inch
Answer:
288
Step-by-step explanation:
0.40hrs × 720 calories = 288 calories burned
Answer:
The first 4 guests can arrive in 32,760 ways.
Step-by-step explanation:
The order in which the guests arrive is important. For example, A,B,C,D is a different outcome to B,A,C,D. So we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:

In this question:
4 guests from a set of 15. So

The first 4 guests can arrive in 32,760 ways.