The equation for volume of a sphere is:
Volume = 4/3 * PI * r^3
r is the radius = 1 inch
Volume is given as 4 cubic inches per second increase.
Given: dv/dt = 4 cubic inches per second.
Need to find dr/dt
Formula for volume of a sphere is: V = 4/3 * π * r^3
so now we have:
4 in^3 = 4 * π *1^2
Divide both sides by 4 * π *1^2
4 in^3 / 4π = 1/π inch per second.
The answer is 1/π inch per second ( exact answer)
or as a decimal: 0.3183 ( round as needed).
Answer:
a=4 and b = 0
Step-by-step explanation:
Given : 
To find, The value of a and b
Solution,
Solving LHS of the given equation,

Since,

So,

or

On comparing we get :
a = 4 and b = 0
The unit price of each topping is $1.40. Divide $12.60 by the 3 toppings. That will give you the price of all 3 toppings together which is $4.20. Divide $4.20 by 3 and that will give you the unit price of each individual topping which is $1.40. To check your answer, multiply $1.40 by 3 which is $4.20. Then, multiply $4.20 by 3 which gives you the whole price which is $12.60
Answer:
x = 2
Step-by-step explanation:
-5x + 8 = -2
-5x + 8 - 8 = -2 -8
-5x = -10
-5x/5 = -10/5
-x = -2
x=2