I believe the answer is 1.1112007e+16 because 14^5=537824 and 14^-9= 4.8400258e-11. You divide both numbers and get 1.1112007e+16
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:
Improper Fraction : $22/5
Decimal : $4.4
Mixed: $4 2/5 ...
Step-by-step explanation:
Sherman Has 3 cats and 2 dogs
Sherman has $22 to spend on pet toys.
To find the answer divide the overall amount that Sherman has to spend overall which is $22, Now divide it by the amount of pets that he has, 3+2=5
We can write it as:
Improper Fraction : $22/5
Decimal : $4.4
Mixed: $4 2/5 ....
Answer:
you subtract the number by 3
Step-by-step explanation:
the pattern is x-3 so the pattern is subtracting the number by 3 every time
The length of the prism is 14 cm if the volume of the prism is 378 cubic cm and face area is 27 square cm.
<h3>What is volume?</h3>
It is defined as a three-dimensional space enclosed by an object or thing.
The question is incomplete.
The complete question is in the picture please refer to the attached picture.
We know the volume of the prism can be calculated:
Volume = base area×length
378 = 27x
x = 378/27 = 14 cm
Thus, the length of the prism is 14 cm if the volume of the prism is 378 cubic cm and face area is 27 square cm.
Learn more about the volume here:
brainly.com/question/16788902
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