Answer:
791.68 cm/s
Step-by-step explanation:
The volume flow rate can be interpreted as the integral of fluid velocity over area
![\dot{V} = \int\limits^6_0 {v(r) 2\pi r} \, dr\\\dot{V} = 2\pi\int\limits^6_0 {(25-r^2)r} \, dr\\\dot{V} = 2\pi\int\limits^6_0 {25r-r^3} \, dr\\\\\dot{V} = 2\pi[12.5r^2 - r^4/4]_0^6\\\dot{V} = 2\pi(12.5*6^2 - 6^4/4 - 12.5*0 - 0)\\\dot{V} = 2\pi*126 = 791.68 cm/s](https://tex.z-dn.net/?f=%5Cdot%7BV%7D%20%3D%20%5Cint%5Climits%5E6_0%20%7Bv%28r%29%202%5Cpi%20r%7D%20%5C%2C%20dr%5C%5C%5Cdot%7BV%7D%20%3D%202%5Cpi%5Cint%5Climits%5E6_0%20%7B%2825-r%5E2%29r%7D%20%5C%2C%20dr%5C%5C%5Cdot%7BV%7D%20%3D%202%5Cpi%5Cint%5Climits%5E6_0%20%7B25r-r%5E3%7D%20%5C%2C%20dr%5C%5C%5C%5C%5Cdot%7BV%7D%20%3D%202%5Cpi%5B12.5r%5E2%20-%20r%5E4%2F4%5D_0%5E6%5C%5C%5Cdot%7BV%7D%20%3D%202%5Cpi%2812.5%2A6%5E2%20-%206%5E4%2F4%20-%2012.5%2A0%20-%200%29%5C%5C%5Cdot%7BV%7D%20%3D%202%5Cpi%2A126%20%3D%20791.68%20cm%2Fs)
11.8/2 = 5.9
5.9 squared is <span>34.81
34.81 multiplied by pi is </span>109.358840271
Answer:
9992.0.
Step-by-step explanation:
So eventually untill you get to the 2 you get 9991.5532 but, now since it is *thousand* it would be 9992.0.
Hope it helps.
If she uses the blue book then she will need,
544/9 ≈ 61 pages
If she uses the red book the she will need,
544/7 ≈ 78 pages
So she will need 17 more pages if she uses the red book.
Hope this helps :)
Answer:
Step-by-step explanation:
Remark
I'm not sure I know what you intend for the slope. I will take it as 12/3 = 4
If that is the case then what you have so far is
Solution
y = 4x + b
The given point determines b
<em>Givens</em>
x = 3
y = 2
<em>Given point</em>
2 = 4*3 + b
2 = 12 + b
b = 2 - 12
b = -10
The equation is y = 4x - 10
