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Licemer1 [7]
2 years ago
9

A swimming pool in the shape of a rectangular prism is 10 feet long, 20 feet wide, and 5 feet deep. How much water could the swi

mming pool hold? *
Mathematics
1 answer:
sasho [114]2 years ago
8 0

Answer:

1,000 units^3 of water

Step-by-step explanation:

20•10•5 =1,000

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Solve Ix - 11 > 4
yanalaym [24]

Answer:

A.

Step-by-step explanation:

6 0
3 years ago
The radius of a cylindrical water tank is 6.5 ft, and its height is 17 ft. What is the volume of the tank?
lara31 [8.8K]

Answer:

pi*36*10 = 1131 cubic feet

Step-by-step explanation:

MARK AS BRAINLEST!!

7 0
2 years ago
Read 2 more answers
Find the radius of convergence, then determine the interval of convergence
galben [10]

The radius of convergence R is 1 and the interval of convergence is (-3, -1) for the given power series. This can be obtained by using ratio test.  

<h3>Find the radius of convergence R and the interval of convergence:</h3>

Ratio test is the test that is used to find the convergence of the given power series.  

First aₙ is noted and then aₙ₊₁ is noted.

For  ∑ aₙ,  aₙ and aₙ₊₁ is noted.

\lim_{n \to \infty} |\frac{a_{n+1}}{a_{n} }| = β

  • If β < 1, then the series converges
  • If β > 1, then the series diverges
  • If β = 1, then the series inconclusive

Here a_{k} = \frac{(x+2)^{k}}{\sqrt{k} }  and  a_{k+1} = \frac{(x+2)^{k+1}}{\sqrt{k+1} }

   

Now limit is taken,

\lim_{n \to \infty} |\frac{a_{n+1}}{a_{n} }| = \lim_{n \to \infty} |\frac{(x+2)^{k+1} }{\sqrt{k+1} }/\frac{(x+2)^{k} }{\sqrt{k} }|

= \lim_{n \to \infty} |\frac{(x+2)^{k+1} }{\sqrt{k+1} }\frac{\sqrt{k} }{(x+2)^{k}}|

= \lim_{n \to \infty} |{(x+2) } }{\sqrt{\frac{k}{k+1} } }}|

= |{x+2 }|\lim_{n \to \infty}}{\sqrt{\frac{k}{k+1} } }}

= |{x+2 }| < 1

- 1 < {x+2 } < 1

- 1 - 2 < x < 1 - 2

- 3 < x < - 1

 

We get that,

interval of convergence = (-3, -1)

radius of convergence R = 1

Hence the radius of convergence R is 1 and the interval of convergence is (-3, -1) for the given power series.

Learn more about radius of convergence here:

brainly.com/question/14394994

#SPJ1

5 0
1 year ago
Read 2 more answers
Show your work<br> 16 = k/11
uranmaximum [27]
16 = k/11

You’re going to need to get K by itself

So you need to multiply 11 on both sides

to remove the denominator of 11



16 x 11 = 176

k/11 x 11 = k

So now the answer would be

176 = k


Hope this helped :)
5 0
3 years ago
Can someone help with this question
eduard
Now, as you can see - these are ordered pairs. So, in order to find possible solutions - we have to plot this inequality on a graph! 

So, let's do this. I am using GeoGebra in order to graph this inequality. 

Alright, so... Now I'm going to go through, and look at each ordered pair and see if they are covered by the shaded region!

Answer A: False
Answer B: False
Answer C: True
Answer D: True
Answer E: True
Answer F: True

Hopefully, this helps you! =)
7 0
3 years ago
Read 2 more answers
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