Answer:
try the 3rd one
Step-by-step explanation:
if it's not right then i'm sorry
Answer:
Step-by-step explanation:
Volume of tank is 3000L.
Mass of salt is 15kg
Input rate of water is 30L/min
dV/dt=30L/min
Let y(t) be the amount of salt at any time
Then,
dy/dt = input rate - output rate.
The input rate is zero since only water is added and not salt solution
Now, output rate.
Concentrate on of the salt in the tank at any time (t) is given as
Since it holds initially holds 3000L of brine then the mass to volume rate is y(t)/3000
dy/dt= dV/dt × dM/dV
dy/dt=30×y/3000
dy/dt=y/100
Applying variable separation to solve the ODE
1/y dy=0.01dt
Integrate both side
∫ 1/y dy = ∫ 0.01dt
In(y)= 0.01t + A, .A is constant
Take exponential of both side
y=exp(0.01t+A)
y=exp(0.01t)exp(A)
exp(A) is another constant let say C
y(t)=Cexp(0.01t)
The initial condition given
At t=0 y=15kg
15=Cexp(0)
Therefore, C=15
Then, the solution becomes
y(t) = 15exp(0.01t)
At any time that is the mass.
Answer:
i think E TO E
Step-by-step explanation:
Answer:
A=39.06 Sq Ft
Step-by-step explanation:
We are given with a square which has a side of 6.25 feet. We are asked to determine the area in square feet and Round to the correct significant digits.
Area of square is given as
A= side x side
Side = 6.25 ft
A=6.25 x 6.25
A= 39.0625
Rounding it to the nearest hundredth place
A=39.06 sq ft
Answer:
75%
Step-by-step explanation:
hope this helps!! please mark brainliest
