Answer: We have to find the volume of a sphere, provided its radius:

The formula for sphere volume is:

Therefore now we can find the volume, because we have the value of the Radius of the sphere, and we do it next.!

Simplification gives:
The question is set up in the following way:
2] 3 0 4 -32
_____________
Here the 2 is from when x-2 is set equal to zero and then solved for x, the rest is from the the number being divided with zero taking the place of the x^2.
Then the following happens:
2] 3 0 4 -32
6 12 32
______________
3 6 16 0
Here the following happens:
1. We drop down the first coefficient, which is 3
2. We take this coefficient and multiply it by the two in the corner and get 6.
3. We place this six under the second coefficient (0) and add them together and get 6.
4. We take this 6 and multiply it by the two in the corner and get 12.
5. We take this 12 and put it under the third coefficient (4), add them together and get 16.
6. We take the 16 and multiply it by the two in the corner and get 32.
7. We take the 32 and place in under the forth coefficient and get zero.
This gives us the coefficients of the final answer in the order 3, 6 and 16 with no remaninders which gives us 3x^2+6x+16.<span />
Answer:
It will take 13.5 minutes for the liquid to reach - 10.8°C.
Step-by-step explanation:
The initial temperature of the experiment is 0°C and as the experiment goes on, the temperature of the liquid is changing at a rate of - 0.8°C per minute.
So, the equation that models the situation is
T = 0 - 0.8t
⇒ T = - 0.8t ................. (1)
Where T is the temperature of the liquid in °C and t is the time of spending after the experiment starts in minutes.
Now, given T = - 10.8°C and we have to find the corresponding time (t) in minutes.
So, from equation (1) we get,
- 10.8 = - 0.8t
⇒ t = 13.5 minutes
Therefore, it will take 13.5 minutes for the liquid to reach - 10.8°C. (Answer)
Answer:
Simplify 4 by the power of 2 x 4 by the power of 8.
4 by the power of 16
4 by the power of 10
16 by the power of 16
16 by the power of 10
Step-by-step explanation:
You are applying the exponents rule here