<span>(-h^4)^5 is -h^20 (-h^4)^5 = -h^4×5 = -h^20</span>
Answer:
24.5 cubic inches
Step-by-step explanation:
The formula for the volume of a cylinder is ...
V = πr²h
A can with a diameter of 2.5 inches has a radius of 1.25 inches. Filling in the given values, the volume is ...
V = π(1.25²)(5) = 7.8125π ≈ 24.54 . . . . cubic inches
The approximate volume is 24.5 cubic inches.
Answer:
The answer in each numeral is:
- <u>f(4) = 28</u>
- <u>f(10) = -19</u>
- <u>f(-5) = -33</u>
- <u>f(9) = -9</u>
Step-by-step explanation:
To obtain the result in each case, you must replace the variable (n) by the value that appears in the second case, I'll explain it with the first exercise:
- 1. f(n) = 5n + 8
- f(4) = ?
As you can see, in the second doesn't appear f(n), but f(4), that means you must replace the "n" in the equation by 4, if we do this, we obtain:
- 1. f(4) = 5*(4) + 8
- f(4) = 20 + 8
- <u>f(4) = 28</u>
The first answer is 28, now we'll continue with the next exercises:
- 2. f(n) = -2n + 1
- f(10) = -2*(10) + 1
- f(10) = -20 + 1
- <u>f(10) = -19</u>
- 3. f(n) = 6n - 3
- f(-5) = 6*(-5) - 3
- f(-5) = -30 - 3
- <u>f(-5) = -33</u>
- 4. f(n) = -n
- <u>f(9) = -9</u>
In this form, <u><em>you can prove the answers are: 28, -19, -33, and -9 respectively</em></u>.