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cupoosta [38]
2 years ago
15

Can someone help for this question just this man​

Mathematics
2 answers:
skelet666 [1.2K]2 years ago
8 0

Apply angle sum property

  • x+162+x-12+x+30+x+133+x+16+126=1080
  • 5x+455=1080
  • 5x=1080-455
  • 5x=625
  • x=125

So

  • x+16
  • 125+16
  • 141

Mnenie [13.5K]2 years ago
4 0

Answer:

141°

Step-by-step explanation:

It's an octagon so the Sum of interior angles is: (8-2)×180=1080

5x+133+16+126+162-12+30=5x+455=1080

5x=625

x=125

x+16=141

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2 years ago
Stanley is filling a water tank that already has 10 gallons of water in it he is filling the tank at the rate of 4.75 gallons pe
koban [17]

Answer:

D: 0 ≤ n ≤ 10

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Step-by-step explanation:

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4 years ago
Find the indefinite integral using the substitution provided.
Nady [450]

Answer:  7\text{Ln}\left(e^{2x}+10\right)+C

This is the same as writing 7*Ln( e^(2x) + 10) + C

=======================================================

Explanation:

Start with the equation u = e^{2x}+10

Apply the derivative and multiply both sides by 7 like so

u = e^{2x}+10\\\\\frac{du}{dx} = 2e^{2x}\\\\7\frac{du}{dx} = 7*2e^{2x}\\\\7\frac{du}{dx} = 14e^{2x}\\\\7du = 14e^{2x}dx\\\\

The "multiply both sides by 7" operation was done to turn the 2e^(2x) into 14e^(2x)

This way we can do the following substitutions:

\displaystyle \int \frac{14e^{2x}}{e^{2x}+10}dx\\\\\\\displaystyle \int \frac{1}{e^{2x}+10}14e^{2x}dx\\\\\\\displaystyle \int \frac{1}{u}7du\\\\\\\displaystyle 7\int \frac{1}{u}du\\\\\\

Integrating leads to

\displaystyle 7\int \frac{1}{u}du\\\\\\7\text{Ln}\left(u\right)+C\\\\\\7\text{Ln}\left(e^{2x}+10\right)+C\\\\\\

Be sure to replace 'u' with e^(2x)+10 since it's likely your teacher wants a function in terms of x. Also, do not forget to have the plus C at the end. This is a common mistake many students forget to do.

To verify the answer, you can apply the derivative to it and you should get back to the original integrand of \frac{14e^{2x}}{e^{2x}+10}

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2 years ago
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nirvana33 [79]
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3 years ago
Read 2 more answers
In the last six months, Sonia's family used 529, 499, 651, 652, 1,163, and 310 minutes on their cell phone plan. To save money,
Tresset [83]

Answer:

They went over their goal for the last six months by 34 minutes per month.

Step-by-step explanation:

Mean of a data-set:

The mean of a data-set is the sum of all values in the data-set divided by the size of the data-set.

529, 499, 651, 652, 1,163, and 310 minutes on their cell phone plan.

The mean is:

M = \frac{529+499+651+652+1163+310}{6} = 634

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The mean was of 634 minutes, and they wanted to keep it below 600. So

634 - 600 = 34

They went over their goal for the last six months by 34 minutes per month.

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3 years ago
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