Answer:
cm per second
![\frac{dS}{dt}=320 square centimeter per secondStep-by-step explanation:We are given that volume of sphere [tex]V=\frac{4}{3}\pi r^3](https://tex.z-dn.net/?f=%5Cfrac%7BdS%7D%7Bdt%7D%3D320%20square%20%20centimeter%20per%20second%3C%2Fstrong%3E%3C%2Fp%3E%3Cp%3E%3Cstrong%3EStep-by-step%20explanation%3A%3C%2Fstrong%3E%3C%2Fp%3E%3Cp%3EWe%20are%20given%20that%20volume%20of%20sphere%20%3C%2Fp%3E%3Cp%3E%5Btex%5DV%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
Volume of sphere is increasing at a constant rate
cubic centimeters per second
We have to find the rate of radius at which increasing
when r= 10 cm
Differentiating w.r.t time


cm per second
Now ,we are given that surface area of sphere

Differentiate w.r.t time then we get


cm per second
The expression can be written as the inequality:
300+0.05s≥500
300$ is made per week, so we start off with
300
He also makes 5% or 0.05 from his sales, so we add in the expression 0.05x (where s is equal to his sales volume for the week)
300+0.05s
If he wants to make at least 500$ weekly, then the total of the base salary plus the commission has to be 'greater than or equal to 500.
300+0.05s≥500
Lets solve for s now...
300+0.05s≥500
subtract 300 from both sides
0.05s≥200
Divide both sides by 0.05
s≥4000
Answer:
325
Step-by-step explanation:
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Answer:
x=12
Step-by-step explanation:
3x=2x+12
3x-2x=12
x=12
Answer:
h=A/(b1+b2/2)
Step-by-step explanation:
it is the reverse