9 ft is my answer hope this helps
Answer:
The rational numbers (ℚ) are included in the real numbers (ℝ), while themselves including the integers (ℤ), which in turn include the natural numbers (ℕ)
Step-by-step explanation:
If you notice the picture below, the amount of fencing, or perimeter, that will be used will be 3w + 2l
now
![\bf \begin{cases} A=l\cdot w\\\\\ A=3000000\\ ----------\\ 3000000=l\cdot w\\\\ \frac{3000000}{w}=l \end{cases}\qquad thus \\\\\\ P=3w+2l\implies P=3w+2\left( \cfrac{3000000}{w} \right)\implies P=3w+\cfrac{6000000}{w} \\\\\\ P=3w+6000000w^{-1}\\\\ -----------------------------\\\\ now\qquad \cfrac{dP}{dw}=3-\cfrac{6000000}{w^2}\implies \cfrac{dP}{dw}=\cfrac{3w^2-6000000}{w^2} \\\\\\ \textit{so the critical points are at } \begin{cases} 0=w^2\\\\ 0=\frac{3w^2-6000000}{w^2} \end{cases}](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Bcases%7D%0AA%3Dl%5Ccdot%20w%5C%5C%5C%5C%5C%0AA%3D3000000%5C%5C%0A----------%5C%5C%0A3000000%3Dl%5Ccdot%20w%5C%5C%5C%5C%0A%5Cfrac%7B3000000%7D%7Bw%7D%3Dl%0A%5Cend%7Bcases%7D%5Cqquad%20thus%0A%5C%5C%5C%5C%5C%5C%0AP%3D3w%2B2l%5Cimplies%20P%3D3w%2B2%5Cleft%28%20%5Ccfrac%7B3000000%7D%7Bw%7D%20%5Cright%29%5Cimplies%20P%3D3w%2B%5Ccfrac%7B6000000%7D%7Bw%7D%0A%5C%5C%5C%5C%5C%5C%0AP%3D3w%2B6000000w%5E%7B-1%7D%5C%5C%5C%5C%0A-----------------------------%5C%5C%5C%5C%0Anow%5Cqquad%20%5Ccfrac%7BdP%7D%7Bdw%7D%3D3-%5Ccfrac%7B6000000%7D%7Bw%5E2%7D%5Cimplies%20%5Ccfrac%7BdP%7D%7Bdw%7D%3D%5Ccfrac%7B3w%5E2-6000000%7D%7Bw%5E2%7D%0A%5C%5C%5C%5C%5C%5C%0A%5Ctextit%7Bso%20the%20critical%20points%20are%20at%20%7D%0A%5Cbegin%7Bcases%7D%0A0%3Dw%5E2%5C%5C%5C%5C%0A0%3D%5Cfrac%7B3w%5E2-6000000%7D%7Bw%5E2%7D%0A%5Cend%7Bcases%7D)
solve for "w", to see what critical points you get, and then run a first-derivative test on them, for the minimum
notice the
![0=w^2\implies 0=w](https://tex.z-dn.net/?f=0%3Dw%5E2%5Cimplies%200%3Dw)
so. you can pretty much skip that one, though is a valid critical point, the width can't clearly be 0
so.. check the critical points on the other
Answer:
8,107,424
Step-by-step explanation:
The 8,000,000 would stay the same, but the second zero would be switched by a one. The third number would still just be a zero. The other zero would turn into a seven, and the last three numbers would be 4, 2 and 4. You can also find the number by adding.
Answer:
Oh dear, Prodigy?
Step-by-step explanation:
*basically ea math game*
uh let's see...
1.3333333333333 mg