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Alla [95]
1 year ago
8

Abby is not a morning person and needs to plan on what time to wake up for a morning class. She

Mathematics
1 answer:
MArishka [77]1 year ago
7 0

Answer:

OF COURSE SHE ISNT A MORNING PERSON. Anyway....

8:45-25 minutes is 8:20. -30 minutes from that, and you get 7:50. PRESUMING she wants to get to class the SECOND the bell rings, she should leave at 7:50!

:))

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Consider the series ∑n=1[infinity]2nn!nn. Evaluate the the following limit. If it is infinite, type "infinity" or "inf". If it d
Vikki [24]

I guess the series is

\displaystyle\sum_{n=1}^\infty\frac{2^nn!}{n^n}

We have

\displaystyle\lim_{n\to\infty}\left|\frac{\frac{2^{n+1}(n+1)!}{(n+1)^{n+1}}}{\frac{2^nn!}{n^n}}\right|=2\lim_{n\to\infty}\left(\frac n{n+1}\right)^n

Recall that

e=\displaystyle\lim_{n\to\infty}\left(1+\frac1n\right)^n

In our limit, we have

\dfrac n{n+1}=\dfrac{n+1-1}{n+1}=1-\dfrac1{n+1}

\left(\dfrac n{n+1}\right)^n=\dfrac{\left(1-\frac1{n+1}\right)^{n+1}}{1-\frac1{n+1}}

\implies\displaystyle2\lim_{n\to\infty}\left(\frac n{n+1}\right)^n=2\frac{\lim\limits_{n\to\infty}\left(1-\frac1{n+1}\right)^{n+1}}{\lim\limits_{n\to\infty}\left(1-\frac1{n+1}\right)}=\frac{2e}1=2e

which is greater than 1, which means the series is divergent by the ratio test.

On the chance that you meant to write

\displaystyle\sum_{n=1}^\infty\frac{2^n}{n!n^n}

we have

\displaystyle\lim_{n\to\infty}\left|\frac{\frac{2^{n+1}}{(n+1)!(n+1)^{n+1}}}{\frac{2^n}{n!n^n}}\right|=2\lim_{n\to\infty}\frac1{(n+1)^2}\left(\frac n{n+1}\right)^2

=\displaystyle2\left(\lim_{n\to\infty}\frac1{(n+1)^2}\right)\left(\lim_{n\to\infty}\left(\frac n{n+1}\right)^n\right)=2\cdot0\cdot e=0

which is less than 1, so this series is absolutely convergent.

6 0
3 years ago
PLEASE HELP ILL GIVE BRAINLIEST!
amid [387]

Answer:

10 sides (decagon)

Step-by-step explanation:

You find the perimeter by adding up all the sides of a shape.

side + side + side + side... = perimeter

You know that <em>each</em> side is 4/5 centimeters. You also know that the perimeter is 8 centimeters.

<u>You can set up an equation like this:</u>

4/5 * number of sides = 8

<em>or you can write it in a simpler form as:</em>

4/5x=8

<u>Now solve it like a normal equation:</u>

5 * (4/5x) = (8) * 5

(4x) / 4=(40) / 4

x = 10

So, you know the shape has 10 sides that are 4/5 centimeters each.

7 0
3 years ago
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Find the value of (2x-1) -(y+3) when x=3 and y=1
Setler [38]

Answer:

1

Step-by-step explanation:

(2*3-1)-(1+3)

(6-1)-4

5-4

1

If this helps you mark as brainlist

5 0
2 years ago
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6. Which pair of points forms a vertical line segment that is 4 units long? (1 point) • (–3, 5) and (–7, 5) • (3, –8) and (3, –4
Ilia_Sergeevich [38]
(-7,5) and (-3,5) :) 
4 0
3 years ago
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Omar can jog 3 2/5 miles in 2/3 of an hour. Find his average speed in miles per hour.
Fudgin [204]

Answer:

9.6miles per hour

Step-by-step explanation:

2/3=40min

32/5 /40=0.16

0.16miles per min

0.16*60=9.6

3 0
2 years ago
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