The volume of the sphere is expressed in the formula V = 4/3 pi r^3. The rate of change of volume is determined by differentiating the formula: dV/dt = 4pi r^2 dr/dt. When we substitute 500 cm3/min as dV/dt and 30 cm as r. Then dr/dt is equal to 0.0442 cm/min
The answer is a 12% increase.
Answer:
1) and 3)
Step-by-step explanation:
Multiplying the answer by one of the numbers and the other number should be answer
Answer: 16t^6−40t^3+25 is the answer
first lets set the equation as a binomial *remember 2 binomial= trinomial*
so its going to look something like..........
(4t^3-5) (4t^3-5)
now we do the foil method so 4t^3* 4t^3= 16t^6 (add exponents)
do the same for the other terms:
4t^3*-5= -20t^3
-5*4t^3= -20t^3
-5*-5= 25
now the whole equation is...
16t^6-20t^3-20t^3+25 (combine like terms like -20t^3 and -20t^3)
therefor the answer is... 16t^6-40t^3+25
