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pychu [463]
2 years ago
8

enuity CUBetween which two numbers will you find 5.634 x 102?OA) 0.0562 and 0.0563OB) 0.0563 and 0.0564OC) 562 and 563OD) 563 an

d 564
Mathematics
1 answer:
Rudiy272 years ago
8 0

The number:

5.634\times10^2

is going to be between the numbers 563 and 564; since 10 squared equals 100 and the decimal point will move to places to the right.

Therefore, the answer is D.

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Determine whether the integral is convergent or divergent. [infinity] 7 e−1/x x2 dx convergent divergent Changed: Your submitted
inessss [21]

I suppose the integral could be

\displaystyle\int_7^\infty\frac{e^{-1/x}}{x^2}\,\mathrm dx

In that case, since -\frac1x\to0 as x\to\infty, we know e^{-1/x}\to1. We also have \left(e^{-1/x}\right)'=\frac{e^{-1/x}}{x^2}>0, so the integral is approach +1 from below. This tells us that, by comparison,

\displaystyle\frac{e^{-1/x}}{x^2}\le\frac1{x^2}\implies\int_7^\infty\frac{e^{-1/x}}{x^2}\,\mathrm dx\le\int_7^\infty\frac{\mathrm dx}{x^2}

and the latter integral is convergent, so this integral must converge.

To find its value, let u=-\frac1x, so that \mathrm du=\frac{\mathrm dx}{x^2}. Then the integral is equal to

\displaystyle\int_{-1/7}^0e^u\,\mathrm du=e^0-e^{-1/7}=1-\frac1{\sqrt[7]{e}}

4 0
4 years ago
Please<br> <img src="https://tex.z-dn.net/?f=%20%5Clim_%7Bn%20%5Cto%20%5Cinfty%7D%20%5Cfrac%7B%28n%2B1%29%21%7D%7Bn%21-%28n%2B1%
Nana76 [90]
Hi there!
We are given the function - 
\lim_{n \to \infty} \frac{(n+1)!}{n!-(n+1)!}
and are told to find the limit of the function. 
The limit would be n approaches infinity, giving us an answer of -1. 
Here is how you solve this:
\frac{(n+1)!}{n!-(n+1)!}
Divide by (n + 1)! - 
\frac{1}{\frac{1}{n+1}-1 }
Now, we can refine the function - 
\lim_{n \to \infty}\frac{1}{\frac{1}{n+1}-1 }
Now, just simplify. This gives us - 
\lim_{n \to \infty} (1)
We can use the rule \lim_{x \to a}c=c to simplify the whole thing to get 1. Finally, we plug it back into our second derived equation to get 1/-1, which simplifies to -1. Therefore, the answer is -1. Hope this helped and have a great day!


3 0
3 years ago
A committee raised 7/9 of their target goal last year and another 1/9 of the goal this year. What fraction of their goal has bee
Airida [17]

Answer:

8/9

Step-by-step explanation:

Find what fraction of their goal they have raised by adding the amounts from last year and this year together:

7/9 + 1/9

= 8/9

So, they have raised 8/9 of their goal

8 0
3 years ago
What is the equation of a line with a slope of ​3​ and a point (3, 1) on the line? Express the equation in the form of y=mx+b wh
Nastasia [14]
The answer is y=3x-8
4 0
4 years ago
Can you help me ? Look at the question
stira [4]

Answer:

The answer is c

Step-by-step explanation:

This is because you subtract 6 to get 9 ≤ -3x then when you divide to get x by itself, then the sign has to flip so you end up with -3≥x. And when you put it on a numbers line the arrow or way it goes is the way the arrow is pointing, so if the sign is like this > it would go to the right on the number line and the converse is true as well please give me brainliest.

6 0
3 years ago
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