I think it'd be 93.6% . I could be wrong. If so, you can report the answer I gave and it should get deleted. :)
Answer:
x < 2
Step-by-step explanation:
Solve this the way you would solve an equation:
![8x - 1 < 15\\ 8x < 16\\x < 2](https://tex.z-dn.net/?f=8x%20-%201%20%3C%2015%5C%5C%208x%20%3C%2016%5C%5Cx%20%3C%202)
Answer:
?
Step-by-step explanation:
what are the statements??
Answer:
False.
General Formulas and Concepts:
<u>Algebra I</u>
Terms/Coefficients
<u>Calculus</u>
Differentiation
- Derivatives
- Derivative Notation
Derivative Rule [Basic Power Rule]:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Derivative Rule [Product Rule]: ![\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bf%28x%29g%28x%29%5D%3Df%27%28x%29g%28x%29%20%2B%20g%27%28x%29f%28x%29)
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
![\displaystyle \frac{d}{dx}[x^3e^x]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bx%5E3e%5Ex%5D)
<u>Step 2: Differentiate</u>
- Derivative Rule [Product Rule]:
![\displaystyle \frac{d}{dx}[x^3e^x] = \frac{d}{dx}[x^3]e^x + x^3 \frac{d}{dx}[e^x]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bx%5E3e%5Ex%5D%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bx%5E3%5De%5Ex%20%2B%20x%5E3%20%5Cfrac%7Bd%7D%7Bdx%7D%5Be%5Ex%5D)
- Derivative Rule [Basic Power Rule]:
![\displaystyle \frac{d}{dx}[x^3e^x] = 3x^2e^x + x^3 \frac{d}{dx}[e^x]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bx%5E3e%5Ex%5D%20%3D%203x%5E2e%5Ex%20%2B%20x%5E3%20%5Cfrac%7Bd%7D%7Bdx%7D%5Be%5Ex%5D)
- Exponential Differentiation:
![\displaystyle \frac{d}{dx}[x^3e^x] = 3x^2e^x + x^3e^x](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bx%5E3e%5Ex%5D%20%3D%203x%5E2e%5Ex%20%2B%20x%5E3e%5Ex)
- Factor:
![\displaystyle \frac{d}{dx}[x^3e^x] = (x^3 + 3x^2)e^x](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bx%5E3e%5Ex%5D%20%3D%20%28x%5E3%20%2B%203x%5E2%29e%5Ex)
∴
but
.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Answer:
1. 10 miles
2. 12 feet
Step-by-step explanation:
For question 1, they both walk for two hours so Sara walked 8 hours and her sister walked 6 miles. Since they went 90˚ opposite directions, we have to use the Pythagorean Theorem to find the distance. 8 squared plus 6 squared equals c squared. 64 plus 36 equals c squared. The square root of 100 is 10, so the distance is 10 miles.
For question 2, you also have to do the Pythagorean Theorem. So, since the hypotenuse is 15, we do 15 squared minus 9 squared equals b squared. 225 minus 81 equals b squared. 144 equals b squared. The square root of 144 is 12. The answer is 12 feet. I hope this helped and please mark me brainliest. I spent I lot of time on this!