Answer:
Option A.
Step-by-step explanation:
The given expression is,
![[(64)^{-\frac{1}{2}}]^{-\frac{2}{3}}](https://tex.z-dn.net/?f=%5B%2864%29%5E%7B-%5Cfrac%7B1%7D%7B2%7D%7D%5D%5E%7B-%5Cfrac%7B2%7D%7B3%7D%7D)
By solving the given expression,
[Since 
]
Now the expression will be,
![[(64)^{-\frac{1}{2}}]^{-\frac{2}{3}}=(\frac{1}{8})^{-\frac{2}{3}}](https://tex.z-dn.net/?f=%5B%2864%29%5E%7B-%5Cfrac%7B1%7D%7B2%7D%7D%5D%5E%7B-%5Cfrac%7B2%7D%7B3%7D%7D%3D%28%5Cfrac%7B1%7D%7B8%7D%29%5E%7B-%5Cfrac%7B2%7D%7B3%7D%7D)
![={(\sqrt[3]{8})^2}](https://tex.z-dn.net/?f=%3D%7B%28%5Csqrt%5B3%5D%7B8%7D%29%5E2%7D)
= 2²
= 4
Therefore, value of the given expression will be 4.
Option (A) will be the answer.
The slope of the line = (2- -8) / (3 - - 5) = 10 / 8
= 5/4
y - y1 = m(x - x1) where m = slope and (x1, y1) is a point on the line so here we have:-
y - 2 = 5/4(x - 3)
y = 5/4x - 15/4 + 2
y = 5/4 x - 7/4 is the answer
Your answer to this is:
0.2
Answer:
1 1/2 tons per hour
Step-by-step explanation:
8 1/4 ÷ 5 1/2
V is the 3D region enclosed by S.
div(F)= <span>∂(x)/∂x + ∂(y)/∂y + ∂(10)/∂z = 2
</span>
<span>∫ = ∫∫∫ [V] div(F) dV = 2 ∫∫∫ [V] dV
Using cylindrical coords, ( rcos(θ), y, rsin(θ) ), dV=rdrdθdy
∫ = 2 ∫∫∫ rdrdθdy, [r=0,1], [θ=0,2π], [y=0,7−rcos(θ)] = 14π (easily integrated)</span><span>
</span>
