Well convert 3 5/6 to 23/6 and 4 4/5 to 24/ 5
then find a multiple that both 5 and 6 have which is 30
23x5= 115 and 24x6= 144
so 115 x 144= 16560/30
16560/30 = 552 /1 so your answer is
552
Answer
-i sqrt 37
Step-by-step explanation:
Answer:
The answer is ![\frac{3}{10\pi } cm/min](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B10%5Cpi%20%7D%20%20cm%2Fmin)
Step-by-step explanation:
Assuming the snowball is a perfect sphere, then if A denotes the surface area and D the diameter then:
![A=4\pi r^{2} = 4\pi (\frac{D}{2} )^{2} =\pi D^{2}](https://tex.z-dn.net/?f=A%3D4%5Cpi%20r%5E%7B2%7D%20%3D%204%5Cpi%20%28%5Cfrac%7BD%7D%7B2%7D%20%29%5E%7B2%7D%20%3D%5Cpi%20%20D%5E%7B2%7D)
Differentiating wrt r we have:
![\frac{dA}{dD} =2\pi D](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7BdD%7D%20%3D2%5Cpi%20D)
We are told that
and we want to find ![\frac{dD}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdD%7D%7Bdt%7D)
By the chain rule we have:
![\frac{dA}{dD}=\frac{dA}{dt}.\frac{dt}{dD}=\frac{\frac{dA}{dt} }{\frac{dD}{dt} }](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7BdD%7D%3D%5Cfrac%7BdA%7D%7Bdt%7D.%5Cfrac%7Bdt%7D%7BdD%7D%3D%5Cfrac%7B%5Cfrac%7BdA%7D%7Bdt%7D%20%7D%7B%5Cfrac%7BdD%7D%7Bdt%7D%20%7D)
∴![2\pi D=-\frac{6}{\frac{dD}{dt} }](https://tex.z-dn.net/?f=2%5Cpi%20D%3D-%5Cfrac%7B6%7D%7B%5Cfrac%7BdD%7D%7Bdt%7D%20%7D)
∴![\frac{dD}{dt}=-\frac{6}{2\pi D}](https://tex.z-dn.net/?f=%5Cfrac%7BdD%7D%7Bdt%7D%3D-%5Cfrac%7B6%7D%7B2%5Cpi%20D%7D)
When D=10 then
![\frac{dD}{dt} =-\frac{6}{10*2\pi } =-\frac{3}{10\pi }](https://tex.z-dn.net/?f=%5Cfrac%7BdD%7D%7Bdt%7D%20%3D-%5Cfrac%7B6%7D%7B10%2A2%5Cpi%20%7D%20%3D-%5Cfrac%7B3%7D%7B10%5Cpi%20%7D)
The sign (-) shows that the D is decreasing.
Answer:
1/4 cup of milk per 1 cup of flour
Step-by-step explanation:
(1/2)/2=(1/2)(1/2)=1/4