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kykrilka [37]
3 years ago
6

Ana is making new pillows. Each pillow requires 5/6 of a yard of fabric. How much fabric does she need for 4 pillows?

Mathematics
1 answer:
polet [3.4K]3 years ago
4 0
To solve this question, we have to multiply 5/6 by 4.

So the answer is 3 1/3
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I've solved most! Just need help with 9, 10, 14.
Ugo [173]
7. Correct

- - -

9. By the ratio test, the series will converge if

\displaystyle\lim_{n\to\infty}\left|\frac{\frac{b^{n+1}(x-a)^{n+1}}{\ln(n+1)}}{\frac{b^n(x-a)^n}{\ln n}}\right|

The limit reduces to

\displaystyle|b(x-a)|\lim_{n\to\infty}\frac{\ln n}{\ln(n+1)}=b|x-a|

where |b|=b because b>0 is given. So the series converges when

b|x-a|

This means the radius of convergence is \dfrac1b.

- - -

10. By the ratio test, the series converges if

\displaystyle\lim_{n\to\infty}\left|\frac{\frac{x^{2(n+1)}}{(n+1)(\ln(n+1))^2}}{\frac{x^{2n}}{n(\ln n)^2}}\right|

The limit is

\displaystyle|x^2|

and so the radius of convergence is 1.

- - -

11. Incorrect. By the root test, the series converges for

\displaystyle\lim_{n\to\infty}\sqrt[n]{\left|\frac{(x-2)^n}{n^n}\right|}=\lim_{n\to\infty}\frac{|x-2|}n=0

which means the series converges for all x, and so the interval of convergence is (-\infty,\infty).

- - -

For 14 and 16, it'll probably be too late to edit this post by the time you see this. You can try posting the remaining problems in a new question.
7 0
3 years ago
22. Two automobiles started at the same time from a point, but traveled in
evablogger [386]

Answer:

4

Step-by-step explanation:

45+65=110

110x4=440

7 0
3 years ago
Explain how the model represents 5/ 1third
Ilia_Sergeevich [38]

Here is ur perfect answer

3 0
2 years ago
Solve for x, and JUSTIFY your answer.
arsen [322]

Answer:

84

Step-by-step explanation:

I don't really know how to explain it but I'll try my best

Visualize line AB extending past point A (like it does at point B)

You'll see that 180 ( line AB ) minus 129 is 51

Angle 51 is vertical to  the other angle inside the triangle that is unnamed.

Now you have 2 angles.

180-45-51=84

5 0
2 years ago
Help me please and explain so i can understand
Finger [1]
The answer is B 
How i got it 2 inches of rain and 5 accidents 
I hope I helped! ♥
5 0
3 years ago
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