20% of a is 11. what is a?

Please <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

4. Earth is in thermal equilibrium. This means that our planet is radiating away exactly as much energy as it is receiving from

lana [24]

Answer:

5.099*10^14 m^2

Step-by-step explanation:

Earth is in thermal equilibrium. This means that our planet is radiating away exactly as much energy as it is receiving from the Sun. This "re-radiation" from the Earth is not visible because it its peak wavelength is in the infrared part of the spectrum. Even the coldest parts of the Earth are way above absolute zero, so every square meter of Earth’s surface is radiating this energy out to space. Using the same radius given in step 2 above, and the formula for the area of a sphere, calculate the surface area of the Earth.

(The radius of the Earth is 6,370,000 meters.)

The earth is spherical in shape , so we use the formula for finding the surface area of a sphere

Surface Area= $4\pi r^{2}$

S.A=4*3.14*6,370,000^2

S.A=4*pi*40576900000000

S.A=5.099*10^14m^2

Man occupies about one-eighth of the earth.

7 0

3 years ago

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This is a 2 part question. Need help with both questions please! Use the triangle for both parts of the question. Click on the f

ollegr [7]

Answer:

Part A) Option A. QR= 3 cm

Part B) Option B. SV=6.5 cm

Step-by-step explanation:

step 1

Find the length of segment QR

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

so

In this problem Triangle QRW and Triangle QSV are similar by AA Similarity Theorem

so

$\frac{QR}{QS}=\frac{QW}{QV}$

we have

$QS=9\ cm$ ---> because S is the midpoint QT (QS=TS)

$QW=2\ cm$ --->because V is the midpoint QU (QW+WV=VU)

$QV=6\ cm$ --->because V is the midpoint QU (QV=VU)

substitute the given values

$\frac{QR}{9}=\frac{2}{6}$

solve for QR

$QR=9(2)/6=3\ cm$

step 2

Find the length side SV

we know that

The Mid-segment Theorem states that the mid-segment connecting the midpoints of two sides of a triangle is parallel to the third side of the triangle, and the length of this mid-segment is half the length of the third side

so

In this problem

S is the mid-point side QT and V is the mid-point side QU

therefore

SV is parallel to TU

and

$SV=(1/2)TU$

so

$SV=(1/2)13=6.5\ cm$

3 0

3 years ago

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I need help w this please

Kisachek [45]

9514 1404 393

Answer:

-
7
5
+
2

Step-by-step explanation:

You are given the point (x1, y1) = (-2, 7) and slope m = 5, and asked to fill in the blanks in the point-slope form ...

y -y1 = m(x -x1)

Put the numbers in there and you get ...

y -7 = 5(x -(-2))

Simplifying the right side gives you ...

y - 7 = 5(x + 2)

Then the blanks are filled with {-, 7, 5, +, 2}.

5 0

2 years ago

Write an expression in simplest form. The sum of the cost of d dinner and a $12 tip divided equally between 3 people

stiv31 [10]

How Much did the dinner cost? 12 divided by 3 = 4 So each person would pay 4$ for the tip.

8 0

3 years ago

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20% of a is 11. what is a?​

20% of a is 11. what is a?