B because 3 times 6 makes 18, so 5 times six is 30 which is B
Answer: D. (z2-3z+14)
Step-by-step explanation:
took the test
Answer:
88.8%
Step-by-step explanation:
1.) 30-18= 12 which is the number of member that had an average of 84
2.)Then multiply 12 times 84 = 1008
3.) You multiply 18 by 92 which equals 1656
4.)Add 1008 and 1656 together and get 2664.
5.)Divide 2664 / 30 and you get the average of 88.8
Hope this helps :)
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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.
This is telling you to do area and then add the two numbers you get
