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2 years ago

12

Residents of the 50 most populous metropolitan statistical areas in the United States listed ____ as one of cities where they fe

el safe walking alone at night.

1 answer:

Nuetrik [128]2 years ago

8 0

Answer:

fifty dollors a night

100/2=50

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Answer the question with explanation;

PSYCHO15rus [73]

Answer:

The statement in the question is wrong. The series actually diverges.

Step-by-step explanation:

We compute

$\lim_{n\to\infty}\frac{n^2}{(n+1)^2}=\lim_{n\to\infty}\left(\frac{n^2}{n^2+2n+1}\cdot\frac{1/n^2}{1/n^2}\right)=\lim_{n\to\infty}\frac1{1+2/n+1/n^2}=\frac1{1+0+0}=1\ne0$

Therefore, by the series divergence test, the series $\sum_{n=1}^\infty\frac{n^2}{(n+1)^2}$ diverges.

EDIT: To VectorFundament120, if $(x_n)_{n\in\mathbb N}$ is a sequence, both $\lim x_n$ and $\lim_{n\to\infty}x_n$ are common notation for its limit. The former is not wrong but I have switched to the latter if that helps.

7 0

3 years ago

Read 2 more answers

How would you write this equation in terms of sin and cos as well as simplify it from there?

ziro4ka [17]

Try this option:
$(1+ \frac{cosx}{sinx})(1- \frac{cosx}{sinx})- \frac{1}{sin^2x}= \frac{sin^2x-cos^2x}{sin^2x}- \frac{1}{sin^2x}=$
$= \frac{sin^2x-cos^2x-sin^2x-cos^2x}{sin^2x}=- \frac{2cos^2x}{sin^2x}.$
or -2ctg²x

8 0

3 years ago

Me groves has trays of paint for her students. Each tray has 5 colors. One of the colors is purple. What fraction of the colors

Natali5045456 [20]

Purple = 1/5 of the colors

5 colors per tray, 20 trays = 5 * 20 = 100 colors

1/5 * 100 = 100/5 = 20

20 colors are purple

20/100 = 1/5

1/5

7 0

3 years ago

A class of 40 students visits a farm . they tour the farm in groups of 5 . how many groups of 5 can they make?

Leya [2.2K]

Eight groups of five

3 0

3 years ago

Solve each equation. Record your work and check your solution. <br> a. 5(x-2)+(-9)= -7(1-x)

Daniel [21]

The solution for equation is x = -6

<em><u>Solution:</u></em>

<em><u>Given equation is:</u></em>

$5(x-2) + (-9) = -7(1-x)$

We have to solve the equation

According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right

Therefore, solve for brackets in given equation

$5(x-2) + (-9) = -7(1-x)\\\\5x - 10 -9 = -7 + 7x$

Solve for terms in left hand side of equation

$5x - 19 = -7+7x$

Move the variables to one side and constants to other side

$7x -5x = -19+7\\\\2x = -12\\\\Divide\ both\ sides\ by\ 2\\\\x = -6$

Thus the solution for equation is x = -6

8 0

3 years ago