Answer:
If the expression is 
, then the answer is the first option.
If the expression is 
, then the answer is the third option.
Step-by-step explanation:
Remember that when you have a radical expression in the form ![\sqrt[n]{x}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%7D)
, you can rewrite as:
Then:
- If the expression is , then you can rewrite it in the following radical form:
![=4\sqrt[7]{x^3}](https://tex.z-dn.net/?f=%3D4%5Csqrt%5B7%5D%7Bx%5E3%7D)
(This form matches with the first option.)
- If the expression is , then you can rewrite it in the following radical form:
![=\sqrt[7]{(4x)^3}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B7%5D%7B%284x%29%5E3%7D)
(This form matches with the third option).
The answer should be C: 12
Answer:
There is 170 cm³ free space in the container.
Step-by-step explanation:
Cylindrical container: height = 18 cm ; diameter = 6 cm.
3 balls each have a radius of 3 cm.
Volume of a cylinder = π r² h
V = 3.14 * (3cm)² * 18 cm
V = 508.68 cm³
Volume of rubber ball = 4/3 π r³
V = 4/3 * 3.14 * (3cm)³
V = 113.04 cm³
113.04 cm³ * 3 balls = 339.12 cm³
508.68 cm³ - 339.12 cm³ = 169.56 cm³ or 170 cm³
Answer:
27
Step-by-step explanation:
f(x) = 5x - 8
f(7) = 5(7) - 8 = 27
