Answer:
Option C) is correct
That is t=StartFraction p Over s Subscript 1 Baseline minus s Subscript 2 Baseline EndFraction
It also can be written as 
Step-by-step explanation:
Given equation can be written as below:

Now to solve the equation for t:

Taking common term t outside on RHS we get


Rewritting the above equation as below

Therefore option C) is correct
That is t=StartFraction p Over s Subscript 1 Baseline minus s Subscript 2 Baseline EndFraction
It also can be written as 
1/7 is your answer. It can't be reduced any further. If there is supposed to be a problem, next time, add it.
Answer:
0.81649658092
Step-by-step explanation:
The square root of 6 equals 2.44948974278. Divide that by 3, and you are given 0.81649658092.
General Idea:
The volume of cylinder is given by
, where r is the radius and h is the height of the cylinder.
Applying the concept:
Step 1: We need to find the volume of full cylinder with the given dimensions using the formula.
Volume of full cylinder 
Volume of half cylinder 
Step 2: Let x be the number of minutes of filling the sand.
of sand filled every 15 seconds, there are four 15 seconds in a minute.
So volume of sand filled in 1 minute
.
of sand taken out of cylindrical vase every minute.
Net volume of sand filled in 1 minute = Volume of sand filled in the vase in one minute - Volume of sand taken out in 1 minute
Net volume of sand filled in 1 minute
Volume of sand filled in x minutes
.
We need to set up an equation to find the number of minutes need to fill half the volume in cylindrical vase.

Conclusion:
The number of minutes required for the base be half filled with sand is 57
Answer:
6x2 + 9x - 15
Step-by-step explanation:
All you have to do is multiply 3(2x2 + 3x - 5)
When you distribute, you will multiply 3 by 2x2, which is 6x2. 3 by 3x, which is 9x. And 3 by -5, which is -15. Then you can just write them all in order because none of them are like terms that you can combine.