Answer:
t = 460.52 min
Step-by-step explanation:
Here is the complete question
Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains 200 liters of a dye solution with a concentration of 1 g/liter. To prepare for the next experiment, the tank is to be rinsed with fresh water flowing in at a rate of 2 liters/min, the well-stirred solution flowing out at the same rate.Find the time that will elapse before the concentration of dye in the tank reaches 1% of its original value.
Solution
Let Q(t) represent the amount of dye at any time t. Q' represent the net rate of change of amount of dye in the tank. Q' = inflow - outflow.
inflow = 0 (since the incoming water contains no dye)
outflow = concentration × rate of water inflow
Concentration = Quantity/volume = Q/200
outflow = concentration × rate of water inflow = Q/200 g/liter × 2 liters/min = Q/100 g/min.
So, Q' = inflow - outflow = 0 - Q/100
Q' = -Q/100 This is our differential equation. We solve it as follows
Q'/Q = -1/100
∫Q'/Q = ∫-1/100
㏑Q = -t/100 + c

when t = 0, Q = 200 L × 1 g/L = 200 g

We are to find t when Q = 1% of its original value. 1% of 200 g = 0.01 × 200 = 2

㏑0.01 = -t/100
t = -100㏑0.01
t = 460.52 min
Answer:
Multiply all the cm and u will get the answer.
Answer:
Brainliest?
Step-by-step explanation:
1.
subtract 1 from both sides
divide by 2
2.
add 5 to each side
divide by 4
Answer:
83
Step-by-step explanation:
Remember that the perimeter of a rectangle is two times the width plus two times the length. In other words:
2W + 2L = P
We know that the perimeter is 290 and the width is 62. We can plug these into the equation and solve for L.
2(62) + 2L = 290
124 + 2L = 290
Subtract 124 from both sides.
2L = 166
Divide both sides by 2.
L = 83
So now we know that the length is 83 feet.
I hope you find my answer and explanation to be helpful. Happy studying.
Answer:
0.36
Step-by-step explanation:
you add the probability's together
quite simple really. -3-