Y=6 looks good to me hope you get an A
Answer:
Simplify the expression.
i could not type in exponent so just open the screen shot
Step-by-step explanation:
i Hope it works
Given expression is
![\sqrt[4]{\frac{16x^{11}y^8}{81x^7y^6}}](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B%5Cfrac%7B16x%5E%7B11%7Dy%5E8%7D%7B81x%5E7y%5E6%7D%7D)
Radical is fourth root
first we simplify the terms inside the radical
So the expression becomes
![\sqrt[4]{\frac{16x^4y^2}{81}}](https://tex.z-dn.net/?f=%20%5Csqrt%5B4%5D%7B%5Cfrac%7B16x%5E4y%5E2%7D%7B81%7D%7D)
Now we take fourth root
![\sqrt[4]{16} = 2](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B16%7D%20%3D%202)
![\sqrt[4]{81} = 3](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B81%7D%20%3D%203)
![\sqrt[4]{x^4} = x](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx%5E4%7D%20%3D%20x)
We cannot simplify fourth root (y^2)
After simplification , expression becomes
![\frac{2x\sqrt[4]{y^2}}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%5Csqrt%5B4%5D%7By%5E2%7D%7D%7B3%7D)
Answer is option B
Answer:
S(x) = x² + 390224/x
Step-by-step explanation:
Volume of the open box = V = 97556 cm³
Material needed:
Let´s call x the side of the square base then the area of the base is
A(b) = x²
For the sides of the box, we have 4 sides each one with area of x*h
where h is the height of the box
The volume of the box V(b) = 97556 = x²*h then h = 97556/x²
S(x,h) = x² + 4*x*h*
The surface area of the box as function of x is:
S(x) = x² + 4*x*97556/x²
S(x) = x² + 390224/x
First convert all to decimal.
7/9 = 0.777
8/11 = 0.727
0.79 = 0.79
84% = 0.84
4/5 = 0.8
Now line them back up in order from least to greatest based on the decimal value.
Final answer:
8/11, 7/9, 0.79, 4/5, 84%
