Answer:
The amount of the chemical flows into the tank during the firs 20 minutes is 4200 liters.
Step-by-step explanation:
Consider the provided information.
A chemical flows into a storage tank at a rate of (180+3t) liters per minute,
Let 
is the amount of chemical in the take at <em>t </em>time.
Now find the rate of change of chemical flow during the first 20 minutes.
![\int\limits^{20}_{0} {c'(t)} \, dt =\left[180t+\dfrac{3}{2}t^2\right]^{20}_0](https://tex.z-dn.net/?f=%5Cint%5Climits%5E%7B20%7D_%7B0%7D%20%7Bc%27%28t%29%7D%20%5C%2C%20dt%20%3D%5Cleft%5B180t%2B%5Cdfrac%7B3%7D%7B2%7Dt%5E2%5Cright%5D%5E%7B20%7D_0)
So, the amount of the chemical flows into the tank during the firs 20 minutes is 4200 liters.
Answer:
$53.30
Step-by-step explanation:
61.43-21.75=39.68 is the cell phone bill in July.
39.68+13.62= 53.30 is the phone bill in June.
Use cymath it gives you the math answers but the answer is x=74
So,
First you have to distribute the numbers outside of the parentheses (you multiply them with the numbers inside of the parentheses
-18+(-9a) + 8a +36=11
Then collect like terms
18-1a =11
-18 -18
---------------------
-1a=-7
Divide both sides by -1
a=7
This is a question that needs a bit of common sense to get to the actual answer that is desired. Firstly there is one information given .The other information has to be found from common sense. ! single handshake requires 2 people. Now we can easily determine the number of people doing 66 handshakes.
Then
The number of people required for 1 hand shake = 2
Then
The number of people required to do 66 handshakes = ( 2 * 66) people
= 132 people
Then it can be said that there were 132 people in the party. I hope the process of doing this problem is clear to you.
