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navik [9.2K]
3 years ago
10

⚠️⚠️ DONT IGNOR ⚠️⚠️ WHAT IS THE ANSWER AND WHICH IS PROPORTIONAL ¿

Mathematics
1 answer:
Nadya [2.5K]3 years ago
5 0
The answer is c) y=2/3x
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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
help easy alll you have to do is drag arrows wich i will be doing to the finish line have any questions comment!!!
Nady [450]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
Tanvi is a kickboxing instructor who will be teaching classes at a local gym. To get certified as an instructor, she spent a tot
DENIUS [597]

Answer:

I think the answer is 4. if my math is correct

5 0
3 years ago
Read 2 more answers
A triangle has a base of 17 inches and a area of 127.5 square inches. What is the height of the triangle?
zmey [24]
We know that area=0.5*base*height.

Thus, the equation would look like:
127.5=0.5*base*height

That means, 255 = base*height.
We know base is 17
Then, we divide 255 by 17. That gets us the height.
The height equals 15.
8 0
3 years ago
Yasmin bought several items at the discount store. She paid 8.75 percent
Y_Kistochka [10]

The total amount of her purchase before tax was added is; $52.46

<h3>How to calculate discounted amount?</h3>

We are told that the percentage sales tax she paid on her purchase was 8.75% which translated to an amount of $4.59.

Now, let the amount of her purchase be x. Thus;

8.75% * x = $4.59

x = 4.59 * 100/8.75

x ≈ $52.46

Read more about Discounted amount at; brainly.com/question/7459025

#SPJ1

6 0
2 years ago
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