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)
Answer:
the third selection is corret
Step-by-step explanation:
Ax + by + c = 0, k = - a/b.
so The slope of the first line =
,
the slope of the second line =
;
So these two lines are parallel and they don't intersect
Answer:
4/3
Step-by-step explanation:
-3y + 4x = -6
-3y = -6 -4y
slove for Y
y = -6/-3 -4/-3 x
Y = -2 +4/3x
Y = 4/3 x -2
Y = 4/3 x -2
so slope or gradient is coefficient of x
4/3 is gradient.
Answer:
I think the answer is 42
Step-by-step explanation:
So, with all of that, the equation will now be = 5^2 + (2 * 8) / 2 + (3 * 3)
So next, you can use PEMDAS. After that, u should get ur answer of 42.
Work:
5^2 + (2 * 8) / 2 + (3 * 3)
5^2 + 16 / 2 + 9
25 + 16 / 2 + 9
25 + 8 + 9
25 + 17
= 42
Hope this helps :D!!