Salt flows into the tank at a rate of
(1/2 lb/gal) * (6 gal/min) = 3 lb/min
and flows out at a rate of
(Q(t)/60 lb/gal) * (6 gal/min) = 6Q(t) lb/min
The net rate of change of the amount of salt in the tank at time 
is then governed by
Solve for 
:
![\dfrac{\mathrm d}{\mathrm dt}[e^{6t}Q]=3e^{6t}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dt%7D%5Be%5E%7B6t%7DQ%5D%3D3e%5E%7B6t%7D)
The tank starts with 10 lb of salt, so that Q(0) = 10. This gives us
so that the amount of salt in the tank at time is given by
Which one you need help on?
Answer: there would be 30 chairs
Step-by-step explanation:6 times 5 is 30.
Answer:
X-3 yrs old
Step-by-step explanation:
Take Laura=X
Since Laura is X years old and Jeri is 3 years younger then Jeri's age = Laura's age- 3years so,
Jeri's age= X-3
(2/3)x+4= 7
Subtract 4 from both sides
(2/3)x= 3
Divide both sides by 2/3. To divide by a fraction, multiply the first number by the reciprocal of the second.
3*3/2= 9/2
Final answer: 9/2 or 4.5
