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Gala2k [10]
3 years ago
12

The winner in a vote for class president received 3/4 of the 240 votes. How many votes did the winner receive

Mathematics
1 answer:
zubka84 [21]3 years ago
4 0
The winner received 180 votes.

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Ap calc multiple choice question; attached below<br> please explain how, please!
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Answer:

C. \frac{f(b)-f(1)}{b-1}=20

General Formulas and Concepts:

<u>Calculus</u>

  • Mean Value Theorem (MVT) - If f is continuous on interval [a, b], then there is a c∈[a, b] such that  f'(c)=\frac{f(b)-f(a)}{b-a}
  • MVT is also Average Value

Step-by-step explanation:

<u>Step 1: Define</u>

f(x)=e^{2x}

f'(c) = 20

Interval [1, b]

<u>Step 2: Check/Identify</u>

Function [1, b] is continuous.

Derivative [1, b] is continuous.

∴ There exists a c∈[1, b] such that f'(c)=\frac{f(b)-f(a)}{b-a}

<u>Step 3: Mean Value Theorem</u>

  1. Substitute:                    20=\frac{ f(b)-f(1)}{b-1}
  2. Rewrite:                        \frac{ f(b)-f(1)}{b-1}=20

And we have our final answer!

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If gas costs $3.19 per gallon, how many whole
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42 / 3.19 = 13.166144200626959,

which can be rounded down to 13 whole gallons.

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