Answer:
Step-by-step explanation:
Volume of cylinder formula:
<h3>Given</h3>
Find r by substituting given values:
- 64π = πr²*4
- 64π = 4r²π
- 16 = r²
- r = √16
- r = 4 m
Correct choice is A.
Answer:
The answer for the first problem is B. The answer to the second problem is A.
Step-by-step explanation:
Explanation for first problem: Factor the equation and get (w+5)(w-4). Then multiply the numerator of the equation (w-3) by (w-4) and get w²-7w+12.
Explanation for second problem: Plug in the values of choice A., -2 and 4, and they cause the denominators to equal 0 which is against the rules or considered illegal.
Answer:
45 and 5.
Step-by-step explanation:
The rule for expressing a radical as a rational exponent is as follows:
![\sqrt[n]{x^y} = x^ \frac{y}{n}](https://tex.z-dn.net/?f=%20%5Csqrt%5Bn%5D%7Bx%5Ey%7D%20%3D%20x%5E%20%5Cfrac%7By%7D%7Bn%7D%20)
So, to find
![\sqrt[3]{27x^2y^3z^4}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B27x%5E2y%5E3z%5E4%7D%20%20)
use that rule.
The cube root of 27 is 3, so the equation will start with 3.

Hope that helps!