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3 years ago

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Consider the series ∑n=1∞158n ∑n=1∞158n determine whether the series converges, and if it converges, determine its value. conver

ges (y/n): equation editorequation editor value if convergent (blank otherwise):

1 answer:

Harlamova29_29 [7]3 years ago

4 0

The limit of 158n as n apporaches infinity is also infinity. If the sequence diverges, the seried cannot converge

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Help me please answer

neonofarm [45]

Answer:

Volume of cone = 90 ft³

Step-by-step explanation:

diameter of cone = 6ft

radius of cone = 3ft

height = 10ft

Volume of cone = $\frac{\pi r^2h}{3}$

V = (3 × 3 × 3 × 10)/3

V = 270/3

V = 90 ft³

3 0

2 years ago

What is the slope of the line that contains the points (-2, 2) and (3, 4)?

Murljashka [212]

(Y1-Y2)/(X1-X2)

(2-4)/(-2-3)

-2/-5

2/5

5 0

3 years ago

Read 2 more answers

Consider the function f(x)=x^2 . What effect does adding 2 to the input have on the graph of the function? Shifts the graph down

Westkost [7]

Shifts the graph left 2, would look like
(x+2)^2

8 0

3 years ago

What is the equation for this line

pogonyaev

The equation of the line is $y=\frac{-1}{5} x-\frac{21}{5}$ .

Solution:

The points on the line are (–6, –3) and (4, –5).

$x_{1}=-6, y_{1}=-3, x_{2}=4, y_{2}=-5$

Slope of the line:

$$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$$m=\frac{-5-(-3)}{4-(-6)}$

$$m=\frac{-5+3}{4+6}$

$$m=\frac{-2}{10}$

$$m=\frac{-1}{5}$

Point-slope formula:

$y-y_{1}=m\left(x-x_{1}\right)$

$$y-(-3)=\frac{-1}{5}(x-(-6))$

$$y+3=\frac{-1}{5}(x+6)$

$$y+3=\frac{-1}{5} x-\frac{6}{5}$

Subtract 3 from both sides of the equation.

$$y=\frac{-1}{5} x-\frac{21}{5}$

The equation of the line is $y=\frac{-1}{5} x-\frac{21}{5}$ .

6 0

3 years ago

Which value is equivalent to<br> 3/11?<br> OA A. 0.27<br> O<br> B. 0.27<br> OC<br> C. 3.6<br> OD. 3.

Sladkaya [172]

Answer:

0.27 repeating.

Step-by-step explanation:

So to solve this we just have to use division.

1 clearly doesnt go into 3 at least one time, so we can add a decimal point and add a 0 to make it 30.

11 goes into 30 2 times, so we have:

0.2

and 30-22=8

So we can add another 0 and make it 80.

Then 11 goes into 80 7 times. So we have:

0.27

and 80-77=3

So again, add the 0, we have 30.

11 goes into 30 2 times, so:

0.272

and 30-22=8

Add another 0 we get 80.

11 goes into 80 7 times.

So finally, we have:

0.2727.

This is a repeating decimal.

This can be shown as:

0.<u>27</u>

So this is your answer!

I was a bit confused with which one it was on your answer key, but knowing that it is 0.<u>27</u> I am guessing you can chose!

Hope this helps!

4 0

2 years ago