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Margaret [11]
3 years ago
12

Last Month, your electric bill was $25.32 for 450 kilowatt hours of electricity. At that rate, what would be the bill for 240 ki

lowatt hours?
Mathematics
1 answer:
Otrada [13]3 years ago
4 0
$13.50 because $25.32 divided by 450, then you multiply that by 240 and get $13.50
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Question 5: prove that it’s =0
mamaluj [8]

Answer:

Proof in explanation.

Step-by-step explanation:

I'm going to attempt this by squeeze theorem.

We know that \cos(\frac{2}{x}) is a variable number between -1 and 1 (inclusive).

This means that -1 \le \cos(\frac{2}{x}) \le 1.

x^4 \ge 0 for all value x. So if we multiply all sides of our inequality by this, it will not effect the direction of the inequalities.

-x^4 \le x^4 \cos(\frac{2}{x}) \le x^4

By squeeze theorem, if  -x^4 \le x^4 \cos(\frac{2}{x}) \le x^4

and \lim_{x \rightarrow 0}-x^4=\lim_{x \rightarrow 0}x^4=L, then we can also conclude that \im_{x \rightarrow} x^4\cos(\frac{2}{x})=L.

So we can actually evaluate the "if" limits pretty easily since both are continuous  and exist at x=0.

\lim_{x \rightarrow 0}x^4=0^4=0

\lim_{x \rightarrow 0}-x^4=-0^4=-0=0.

We can finally conclude that \lim_{\rightarrow 0}x^4\cos(\frac{2}{x})=0 by squeeze theorem.

Some people call this sandwich theorem.

6 0
3 years ago
Express the perimeter of the triangle as a polynomial.
Tcecarenko [31]
The perimeter is just the sum of all of the side lengths.

p=3x+4+x-10+5x-2

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7 0
3 years ago
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Oksi-84 [34.3K]

The answer is D) s/cos55°

3 0
2 years ago
Can someone help me with #10 please
Aleksandr [31]

X=11 because 90-43+5x-8 so 5•11=55-8 =47 90-43=47

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Plz answer with explanation will give brainliest
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Answer:

B: |8| + (-7)

Step-by-step explanation:

When you are looking for the distance between two numbers, always add. The distance between 8 and -7 is 15 (|8| = 8). If, for instance, the answer was negative, which it is now, just find the absolute value of -15 which equals 15. The answer is B.

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3 years ago
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