Answer:
6 recipes
Step-by-step explanation:
4 cups of flour = 1 pound
5 pounds = 20 cups of flour
20 cups of flour = a little bit more than 6 recipes.
Answer:
x = ![e^{\frac{\pi}{2}}](https://tex.z-dn.net/?f=e%5E%7B%5Cfrac%7B%5Cpi%7D%7B2%7D%7D)
Step-by-step explanation:
Data provided in the question:
f'(x) = cos(ln x)
For finding points of maxima or minima , put f'(x) = 0
therefore,
cos(ln x) = 0
or
cos(ln x) = ![\cos(\frac{\pi}{2})](https://tex.z-dn.net/?f=%5Ccos%28%5Cfrac%7B%5Cpi%7D%7B2%7D%29)
or
ln x = ![\frac{\pi}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%7D%7B2%7D)
or
x = ![e^{\frac{\pi}{2}}](https://tex.z-dn.net/?f=e%5E%7B%5Cfrac%7B%5Cpi%7D%7B2%7D%7D)
now to check for maxima or minima at x = ![e^{\frac{\pi}{2}}](https://tex.z-dn.net/?f=e%5E%7B%5Cfrac%7B%5Cpi%7D%7B2%7D%7D)
f"(x) = ![-\sin(\ln x)\times\frac{1}{x}](https://tex.z-dn.net/?f=-%5Csin%28%5Cln%20x%29%5Ctimes%5Cfrac%7B1%7D%7Bx%7D)
thus
at x = ![e^{\frac{\pi}{2}}](https://tex.z-dn.net/?f=e%5E%7B%5Cfrac%7B%5Cpi%7D%7B2%7D%7D)
f"(x) = ![-\sin(\ln (e^{\frac{\pi}{2}}))\times\frac{1}{e^{\frac{\pi}{2}}}](https://tex.z-dn.net/?f=-%5Csin%28%5Cln%20%28e%5E%7B%5Cfrac%7B%5Cpi%7D%7B2%7D%7D%29%29%5Ctimes%5Cfrac%7B1%7D%7Be%5E%7B%5Cfrac%7B%5Cpi%7D%7B2%7D%7D%7D)
= ![-\sin(e^{\frac{\pi}{2}})\times e^{-\frac{\pi}{2}}}](https://tex.z-dn.net/?f=-%5Csin%28e%5E%7B%5Cfrac%7B%5Cpi%7D%7B2%7D%7D%29%5Ctimes%20e%5E%7B-%5Cfrac%7B%5Cpi%7D%7B2%7D%7D%7D)
=
< 0
hence maxima at x = ![e^{\frac{\pi}{2}}](https://tex.z-dn.net/?f=e%5E%7B%5Cfrac%7B%5Cpi%7D%7B2%7D%7D)
Answer:
19
Step-by-step explanation:
6 times 2 = 12
4 divided by 2= 2
therfore
12+ 9-2= 19
Volume of the base = base area x height
512 = 3√3 / 2 a²h
h = 197/a², where a is the length of the side of the hexagonal base.
1) A cube has 6 sides & each side is a square. Is s is the side then the total area of te cube is = (6s²)
The cube has 6 sides each of 5 in. The area of each side is 5 x 5 = 25 in² & for the whole cube 25x6= 150 in²