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Sonbull [250]
3 years ago
7

How to Swoop the decimal

Mathematics
1 answer:
ddd [48]3 years ago
6 0

Answer:

Step-by-step explanation: I don’t really understand what this means, but I think it might. For multiplication of decimals, you would move the decimal point to the left. For division, you’d move the decimal point to the right.

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A crane lifts an air conditioner weighing 800 Newtons up to the roof of a building in New York City. It took one minute to raise
tia_tia [17]

Answer:

160,000 Nm

2667 Nm/sec

Step-by-step explanation:

Work = weight * distance

= 800 * 200

= 160,000 Nm

Power = rate of work done

= 160,000 / 60

=  2667 Nm/sec

4 0
3 years ago
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
HELP PLZ
Lera25 [3.4K]

Answer:

the answer is 28 for A the answer for B is -5 for A, 15 for B, and -6 for C

Step-by-step explanation:

3 0
2 years ago
99 POINTS- multi question-only answer if your positive-
Otrada [13]
What exactly are you looking for? Do you want the answer to all of them?
4 0
3 years ago
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Sheniah went to McDonald's and bought a soda for one dollar. She also bought a Big Mac. For any price of the Big Mac, what would
Natalka [10]

Answer:

$1+x(price of big mac)

Step-by-step explanation:

7 0
3 years ago
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