Answer:
440
Step-by-step explanation:
1.5 hours he 90 minutes
660/ 90=7.333
7.333*60 (which is how many minutes in an hour = 440 miles
Answer:
21
Step-by-step explanation:
Given that 2 parts of the ratio equals 14 green marbles, then divide to find the value of one part of the ratio.
14 ÷ 2 = 7 ← value of 1 part of the ratio, thus there are 7 blue marbles
Total marbles = 14 + 7 = 21
Answer:
f(x) = 4x+5 ; 0 ≤ x ≤ 50
The range is the possible output values of f(x)
4(0) + 5 = 5 smallest output value in range
4(50) + 5 = 55 largest output value in range
The outputs are between 5 and 55 including the endpoints so
the range is [5, 55]
Answer:
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General Formulas and Concepts:
<u>Calculus</u>
Limits
Limit Rule [Variable Direct Substitution]:

Special Limit Rule [L’Hopital’s Rule]:

Differentiation
- Derivatives
- Derivative Notation
Derivative Property [Addition/Subtraction]:
![\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28x%29%20%2B%20g%28x%29%5D%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28x%29%5D%20%2B%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bg%28x%29%5D)
Derivative Rule [Basic Power Rule]:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Derivative Rule [Chain Rule]:
![\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28g%28x%29%29%5D%20%3Df%27%28g%28x%29%29%20%5Ccdot%20g%27%28x%29)
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify given limit</em>.

<u>Step 2: Find Limit</u>
Let's start out by <em>directly</em> evaluating the limit:
- [Limit] Apply Limit Rule [Variable Direct Substitution]:

- Evaluate:

When we do evaluate the limit directly, we end up with an indeterminant form. We can now use L' Hopital's Rule to simply the limit:
- [Limit] Apply Limit Rule [L' Hopital's Rule]:

- [Limit] Differentiate [Derivative Rules and Properties]:

- [Limit] Apply Limit Rule [Variable Direct Substitution]:

- Evaluate:

∴ we have <em>evaluated</em> the given limit.
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Learn more about limits: brainly.com/question/27807253
Learn more about Calculus: brainly.com/question/27805589
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Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
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