Answer:
Order of operations tells you to perform multiplication and division first, working from left to right, before doing addition and subtraction. Continue to perform multiplication and division from left to right. Next, add and subtract from left to right, so the mom would not be doing it right since addition goes first, so the answer would be 7. The dad would be right
Step by Step Explanation:
Hope this helps :p
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Terms/Coefficients
- Expand by FOIL (First Outside Inside Last)
- Factoring
<u>Calculus</u>
Differentiation
Derivative Notation
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Integration
- Integration Property:

- Fundamental Theorem of Calculus:

- Arc Length Formula:
![\displaystyle AL = \int\limits^a_b {\sqrt{1+ [f'(x)]^2}} \, dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%20AL%20%3D%20%5Cint%5Climits%5Ea_b%20%7B%5Csqrt%7B1%2B%20%5Bf%27%28x%29%5D%5E2%7D%7D%20%5C%2C%20dx)
- Surface Area Formula:
![\displaystyle SA = 2\pi \int\limits^a_b {f(x) \sqrt{1+ [f'(x)]^2}} \, dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%20SA%20%3D%202%5Cpi%20%5Cint%5Climits%5Ea_b%20%7Bf%28x%29%20%5Csqrt%7B1%2B%20%5Bf%27%28x%29%5D%5E2%7D%7D%20%5C%2C%20dx)
Step-by-step explanation:
<u>Step 1: Define</u>
![\displaystyle y = \frac{1}{3}x^{\frac{1}{2}} - x^{\frac{3}{2}}\\Interval: [0, \frac{1}{3}]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20%3D%20%5Cfrac%7B1%7D%7B3%7Dx%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%20-%20x%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%5C%5CInterval%3A%20%5B0%2C%20%5Cfrac%7B1%7D%7B3%7D%5D)
<u>Step 2: Differentiate</u>
- Basic Power Rule:

- [Derivative] Simplify:

- [Derivative] Simplify:

<u>Step 3: Integrate Pt. 1</u>
- Substitute [Surface Area]:
![\displaystyle SA = 2\pi \int\limits^{\frac{1}{3}}_0 {(\frac{1}{3}x^{\frac{1}{2}} - x^{\frac{3}{2}}) \sqrt{1+ [\frac{1}{6\sqrt{x}} - \frac{3\sqrt{x}}{2}}]^2}} \, dx](https://tex.z-dn.net/?f=%5Cdisplaystyle%20SA%20%3D%202%5Cpi%20%5Cint%5Climits%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D_0%20%7B%28%5Cfrac%7B1%7D%7B3%7Dx%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%20-%20x%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%29%20%5Csqrt%7B1%2B%20%5B%5Cfrac%7B1%7D%7B6%5Csqrt%7Bx%7D%7D%20-%20%5Cfrac%7B3%5Csqrt%7Bx%7D%7D%7B2%7D%7D%5D%5E2%7D%7D%20%5C%2C%20dx)
- [Integral - √Radical] Expand/Add:

- [Integral - √Radical] Factor:

- [Integral - Simplify]:

- [Integral] Integration Property:

<u>Step 4: Integrate Pt. 2</u>
- [Integral] Define:

- [Integral] Assumption of Positive/Correction Factors:

- [Integral] Expand - FOIL:

- [Integral] Integrate - Basic Power Rule:

- [Expression] Multiply:

<u>Step 5: Integrate Pt. 3</u>
- [Integral] Substitute/Integral - FTC:

- [Integrate] Evaluate FTC:

- [Expression] Multiply:

<em>It is in ft² because it is given that our axis are in ft.</em>
<u>Step 6: Find Amount of Glass</u>
<em>Convert ft² to in² and multiply by 0.015 in (given) to find amount of glass.</em>
- Convert ft² to in²:

- Multiply:

And we have our final answer! Hope this helped on your Calc BC journey!
8 ft= ___ inches
1 ft= 12 inches
8 ft= 12 x 8 inches
8 ft=96 inches
She has 96 inches, but she needs 100 inches. So she needs 4 more inches of lumber.
The slope is 2, because you subtract the points 3,17 from 7,25 to get 8/4/ Simplify that into 2.
He forgot to do the parenthesis before the exponent gets added!