Answer:
i need points
Step-by-step explanation:
Answer:
6/(49π) ≈ 0.03898 m/min
Step-by-step explanation:
V = πr²h . . . . formula for the volume of a cylinder
dV/dt = πr²·dh/dt . . . . differentiate to find rate of change
Solving for dh/dt and filling in the numbers, we have ...
dh/dt = (dV/dt)/(πr²) = (6 m³/min)/(π(7 m)²) = 6/(49π) m/min
dh/dt ≈ 0.03898 m/min
Answer:
approximately 3.16 repeated
Step-by-step explanation:
For this case we have the following polynomial:
![-24a ^ 6b ^ 4-40a ^ 3](https://tex.z-dn.net/?f=-24a%20%5E%206b%20%5E%204-40a%20%5E%203)
We must find the greatest common factor of the terms of the polynomial.
The GCF of the coefficients is given by:
![24 = 3 * 8\\40 = 5 * 8](https://tex.z-dn.net/?f=24%20%3D%203%20%2A%208%5C%5C40%20%3D%205%20%2A%208)
Then we look for the GFC of the variables:
We have then:
![a ^ 6 = a ^ 3a ^ 3\\a ^ 3 = a ^ 3](https://tex.z-dn.net/?f=a%20%5E%206%20%3D%20a%20%5E%203a%20%5E%203%5C%5Ca%20%5E%203%20%3D%20a%20%5E%203)
Finally rewriting we have:
![-24a ^ 6b ^ 4-40a ^ 3 = -8a ^ 3 (3a ^ 3b ^ 4 + 5)](https://tex.z-dn.net/?f=-24a%20%5E%206b%20%5E%204-40a%20%5E%203%20%3D%20-8a%20%5E%203%20%283a%20%5E%203b%20%5E%204%20%2B%205%29)
Answer:
the complete factored form of the polynomial is:
![-8a ^ 3 (3a ^ 3b ^ 4 + 5)](https://tex.z-dn.net/?f=-8a%20%5E%203%20%283a%20%5E%203b%20%5E%204%20%2B%205%29)
Answer:
See explaination
Step-by-step explanation:
Please kindly check attachment for the step by step solution of the given problem.