The answer would be milliliter. Hope that is helpful.
![y=\sqrt x\,e^{x^2}(x^2+5)^{12}=x^{1/2}e^{x^2}(x^2+5)^{1/2}](https://tex.z-dn.net/?f=y%3D%5Csqrt%20x%5C%2Ce%5E%7Bx%5E2%7D%28x%5E2%2B5%29%5E%7B12%7D%3Dx%5E%7B1%2F2%7De%5E%7Bx%5E2%7D%28x%5E2%2B5%29%5E%7B1%2F2%7D)
Take the logarithm of both sides and expand the right hand side:
![\ln y=\ln\left(x^{1/2}e^{x^2}(x^2+5)^{1/2}\right)](https://tex.z-dn.net/?f=%5Cln%20y%3D%5Cln%5Cleft%28x%5E%7B1%2F2%7De%5E%7Bx%5E2%7D%28x%5E2%2B5%29%5E%7B1%2F2%7D%5Cright%29)
![\ln y=\ln x^{1/2}+\ln e^{x^2}+\ln(x^2+5)^{12}](https://tex.z-dn.net/?f=%5Cln%20y%3D%5Cln%20x%5E%7B1%2F2%7D%2B%5Cln%20e%5E%7Bx%5E2%7D%2B%5Cln%28x%5E2%2B5%29%5E%7B12%7D)
![\ln y=\dfrac12\ln x+x^2\ln e+12\ln(x^2+5)](https://tex.z-dn.net/?f=%5Cln%20y%3D%5Cdfrac12%5Cln%20x%2Bx%5E2%5Cln%20e%2B12%5Cln%28x%5E2%2B5%29)
![\ln y=\dfrac12\ln x+x^2+12\ln(x^2+5)](https://tex.z-dn.net/?f=%5Cln%20y%3D%5Cdfrac12%5Cln%20x%2Bx%5E2%2B12%5Cln%28x%5E2%2B5%29)
Now take the derivative of both sides with respect to
:
![\dfrac1y\dfrac{\mathrm dy}{\mathrm dx}=\dfrac1{2x}+2x+\dfrac{24x}{x^2+5}](https://tex.z-dn.net/?f=%5Cdfrac1y%5Cdfrac%7B%5Cmathrm%20dy%7D%7B%5Cmathrm%20dx%7D%3D%5Cdfrac1%7B2x%7D%2B2x%2B%5Cdfrac%7B24x%7D%7Bx%5E2%2B5%7D)
![\dfrac{\mathrm dy}{\mathrm dx}=\left(\dfrac1{2x}+2x+\dfrac{24x}{x^2+5}\right)y](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20dy%7D%7B%5Cmathrm%20dx%7D%3D%5Cleft%28%5Cdfrac1%7B2x%7D%2B2x%2B%5Cdfrac%7B24x%7D%7Bx%5E2%2B5%7D%5Cright%29y)
![\dfrac{\mathrm dy}{\mathrm dx}=\left(\dfrac1{2x}+2x+\dfrac{24x}{x^2+5}\right)\sqrt x\,e^{x^2}(x^2+5)^{12}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20dy%7D%7B%5Cmathrm%20dx%7D%3D%5Cleft%28%5Cdfrac1%7B2x%7D%2B2x%2B%5Cdfrac%7B24x%7D%7Bx%5E2%2B5%7D%5Cright%29%5Csqrt%20x%5C%2Ce%5E%7Bx%5E2%7D%28x%5E2%2B5%29%5E%7B12%7D)
I'd stop there, but you could condense the right side a bit to get
![\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{4x^4+21x^2+48x+5}{2x(x^2+5)}\sqrt x\,e^{x^2}(x^2+5)^{12}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20dy%7D%7B%5Cmathrm%20dx%7D%3D%5Cdfrac%7B4x%5E4%2B21x%5E2%2B48x%2B5%7D%7B2x%28x%5E2%2B5%29%7D%5Csqrt%20x%5C%2Ce%5E%7Bx%5E2%7D%28x%5E2%2B5%29%5E%7B12%7D)
![\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{4x^4+21x^2+48x+5}{2\sqrt x}e^{x^2}(x^2+5)^{11}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20dy%7D%7B%5Cmathrm%20dx%7D%3D%5Cdfrac%7B4x%5E4%2B21x%5E2%2B48x%2B5%7D%7B2%5Csqrt%20x%7De%5E%7Bx%5E2%7D%28x%5E2%2B5%29%5E%7B11%7D)
Answer:10.05
Step-by-step explanation:
114*2=228 114+228=342 342/34 gives you around 10.05.
Answer: Hardwood flooring
Step-by-step explanation:
Given
Rohann renovation of Carpentering cost $875 for ![20\ m^2](https://tex.z-dn.net/?f=20%5C%20m%5E2)
For hardwood flooring
cost $750
So, cost per square meter for different floors are
![\Rightarrow \text{Carpentering}=\dfrac{875}{20}\\\\\Rightarrow \text{Carpentering}=\$43.75/m^2](https://tex.z-dn.net/?f=%5CRightarrow%20%5Ctext%7BCarpentering%7D%3D%5Cdfrac%7B875%7D%7B20%7D%5C%5C%5C%5C%5CRightarrow%20%5Ctext%7BCarpentering%7D%3D%5C%2443.75%2Fm%5E2)
![\Rightarrow \text{Hardwood}=\dfrac{750}{17}\\\\\Rightarrow \text{Hardwood}=\$44.11/m^2](https://tex.z-dn.net/?f=%5CRightarrow%20%5Ctext%7BHardwood%7D%3D%5Cdfrac%7B750%7D%7B17%7D%5C%5C%5C%5C%5CRightarrow%20%5Ctext%7BHardwood%7D%3D%5C%2444.11%2Fm%5E2)
Thus, the cost of the Hardwood flooring is more expensive.
Answer:
the answer is x = 5.
Step-by-step explanation:
(5-1) + (5+1) = 4+6 = 10
hope this helps!!