Answer:
No
Step-by-step explanation:
2/3 in decimal is .6 repeating
1/4 in decimal is 0.25
therefore we cannot conclude that 2/3 is equal to 1/4
Answer:
45in.
Step-by-step explanation:
Answer:
Minimum value of f(x) = -1.
Step-by-step explanation:
We convert it to vertex form:
x^2 - 6x + 8
= (x - 3)^2 - 9 + 8
= (x - 3)^2 - 1
The minimum value occurs when (x - 3)^2 = 0 because a square has a minimum value of zero ( it cannot be negative for real values of x).
So the function has a minimum value of -1.
Answer:
![\displaystyle V = 2144.66 \ ft^3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%20%3D%202144.66%20%5C%20ft%5E3)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
Volume of a Sphere Formula: ![\displaystyle V = \frac{4}{3} \pi r^3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%20%3D%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E3)
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
<em>r</em> = 8 ft
<u>Step 2: Find Volume</u>
- Substitute in variables [Volume of a Sphere Formula]:
![\displaystyle V = \frac{4}{3} \pi (8 \ ft)^3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%20%3D%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%288%20%5C%20ft%29%5E3)
- Evaluate exponents:
![\displaystyle V = \frac{4}{3} \pi (512\ ft^3)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%20%3D%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%28512%5C%20ft%5E3%29)
- Multiply:
![\displaystyle V = \frac{2048}{3} \pi \ ft^3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%20%3D%20%5Cfrac%7B2048%7D%7B3%7D%20%5Cpi%20%5C%20ft%5E3)
- Estimate:
![\displaystyle V = 2144.66 \ ft^3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%20%3D%202144.66%20%5C%20ft%5E3)