Answer:
![C(s) = 6s^2 + \dfrac{1500}{s}\\\text{where s is the side of base.}](https://tex.z-dn.net/?f=C%28s%29%20%3D%206s%5E2%20%2B%20%5Cdfrac%7B1500%7D%7Bs%7D%5C%5C%5Ctext%7Bwhere%20s%20is%20the%20side%20of%20base.%7D)
Step-by-step explanation:
We are given the following in the question:
A storage shed is to be built in the shape of a (closed) box with a square base.
Volume = 150 cubic feet
Let s be the edge of square base and h be the height.
Volume of cuboid =
![l\times b\times h](https://tex.z-dn.net/?f=l%5Ctimes%20b%5Ctimes%20h)
where l is the length, b is the base and h is the height.
Volume of box =
![s^2h = 150\\\\h = \dfrac{150}{s^2}](https://tex.z-dn.net/?f=s%5E2h%20%3D%20150%5C%5C%5C%5Ch%20%3D%20%5Cdfrac%7B150%7D%7Bs%5E2%7D)
Area of base =
![\text{side}\times \text{side} = s^2](https://tex.z-dn.net/?f=%5Ctext%7Bside%7D%5Ctimes%20%5Ctext%7Bside%7D%20%3D%20s%5E2)
Cost of concrete for the base = $4
Cost of base($) = ![4s^2](https://tex.z-dn.net/?f=4s%5E2)
Area of roof =
![\text{side}\times \text{side} = s^2](https://tex.z-dn.net/?f=%5Ctext%7Bside%7D%5Ctimes%20%5Ctext%7Bside%7D%20%3D%20s%5E2)
Cost of material for the roof = $2
Cost of roof ($) = ![2s^2](https://tex.z-dn.net/?f=2s%5E2)
Area of 4 walls =
![4\times (sh)\\=4sh](https://tex.z-dn.net/?f=4%5Ctimes%20%28sh%29%5C%5C%3D4sh)
Cost of material for the side = $2.50
Cost of material of side($) =
![2.50\times 4s(\dfrac{150}{s^2})\\\\=\dfrac{1500}{s}](https://tex.z-dn.net/?f=2.50%5Ctimes%204s%28%5Cdfrac%7B150%7D%7Bs%5E2%7D%29%5C%5C%5C%5C%3D%5Cdfrac%7B1500%7D%7Bs%7D)
Total cost
= Cost of base + Cost of 4 sides + Cost of roof
![C(s) = 4s^2 + \dfrac{1500}{s} + 2s^2\\\\C(s) = 6s^2 + \dfrac{1500}{s}](https://tex.z-dn.net/?f=C%28s%29%20%3D%204s%5E2%20%2B%20%5Cdfrac%7B1500%7D%7Bs%7D%20%2B%202s%5E2%5C%5C%5C%5CC%28s%29%20%3D%206s%5E2%20%2B%20%5Cdfrac%7B1500%7D%7Bs%7D)
is the required cost function.
Answer:
is I don't know really a option L.MAOO
anyway option 3,4, and 5 ( maybe 6 but not sure) are correct
Answer:
3 hours + 5hours = 8 hours ÷ 2 =
4 hours is your answer.
Step-by-step explanation:
If you have 2 people working and need to know how long it would take them to finish a job. Working together on the same job, you add each of their total hours to do the job alone,, 5 + 3 = 8, then divide the 8 by 2 people
equals 4 hours for 2 people on 1 job.
Answer:
Below.
Step-by-step explanation:
0.9 = 90/100 fraction and
= 0.90 as a decimal.