At the start, the tank contains A(0) = 50 g of salt.
Salt flows in at a rate of
(1 g/L) * (5 L/min) = 5 g/min
and flows out at a rate of
(A(t)/200 g/L) * (5 L/min) = A(t)/40 g/min
so that the amount of salt in the tank at time t changes according to
A'(t) = 5 - A(t)/40
Solve the ODE for A(t):
A'(t) + A(t)/40 = 5
e^(t/40) A'(t) + e^(t/40)/40 A(t) = 5e^(t/40)
(e^(t/40) A(t))' = 5e^(t/40)
e^(t/40) A(t) = 200e^(t/40) + C
A(t) = 200 + Ce^(-t/40)
Given that A(0) = 50, we find
50 = 200 + C ==> C = -150
so that the amount of salt in the tank at time t is
A(t) = 200 - 150 e^(-t/40)
The tops and bottoms of a trapezoid are parallel, and a polygon's volume and angles are always 360.As long as you know the shape and about three of the lengths, you can find the base.
You can do it by lining up the place values and subtracting ones by ones, tens by tens, and hundreds by hundreds.
Answer:
(-6)(4) x (-6) (2/3)
Step-by-step explanation:
He installed 19.65 meters of fencing in the last three days and 6.55 meters of fencing on each of the last three days.
<h3>
Further explanation</h3>
<u>Given:</u>
- A gardener installed 42.6 meters of fencing in week.
- He installed 13.45 meters on Monday and 9.5 meters on Tuesday.
- He installed the rest of fence in equal lengths on Wednesday through Friday.
<u>Question:</u>
- How many meters of fencing did he install in the last three days?
- How many meters of fencing did he install on each of the last three days?
<u>The Process:</u>
<u>Step-1:</u> total fencing installed on Monday and Tuesday (in meters).
13.45
_<u>9.5_+</u>
22.95 meters
<u>Step-2:</u><u> </u>total fencing installed on the last three days is total fencing in a week subtracted by total fencing installed on Monday and Tuesday.
42.6
<u> 22.95 -</u>
19.65 meters
<u>Final step:</u> the amount of fencing installed on each of the last three days is total fencing in the last three days divided by three.

19.65 = 18.00 + 1.50 + .15



_____________ +

<u>Conclusion</u>
He installed 19.65 meters of fencing in the last three days and 6.55 meters of fencing on each of the last three days.
<h3>Learn more</h3>
- How much punch is in each bowl? brainly.com/question/1878521
- How much money did Jenny earn in all brainly.com/question/2068148
- What is the cost of the toy car? brainly.com/question/5282516
Keywords: A gardener, installed, 42.6 meters of fencing in week, 13.45 fencing on Monday, on Tuesday, on Wednesday through Friday, how many, on each, in the last three days? decimal operation