Answer:
The claim states a “truth” that two reasonable people might disagree about.
Step-by-step explanation:
ive done this quiz
Answer:
2/16, 3/24, 4/32, you just have to find a pattern
Step-by-step explanation:
Answer:
(B)![\dfrac{dA}{dt}=8-0.004A](https://tex.z-dn.net/?f=%5Cdfrac%7BdA%7D%7Bdt%7D%3D8-0.004A)
Step-by-step explanation:
Volume of fluid in the tank =1000 gallons
Initial Amount of Salt in the tank, A(0)= 30 pounds
Incoming brine solution of concentration 2 pounds of salt per gallon is pumped in at a rate of 4 gallons per minute.
Rate In=(concentration of salt in inflow)(input rate of brine)
![=(2\frac{lbs}{gal})( 4\frac{gal}{min})=8\frac{lbs}{min}](https://tex.z-dn.net/?f=%3D%282%5Cfrac%7Blbs%7D%7Bgal%7D%29%28%204%5Cfrac%7Bgal%7D%7Bmin%7D%29%3D8%5Cfrac%7Blbs%7D%7Bmin%7D)
The resulting mixture is pumped out at the same rate, therefore:
Rate Out =(concentration of salt in outflow)(output rate of brine)
![=(\frac{A(t)}{1000})( 4\frac{gal}{min})=\frac{A}{250}](https://tex.z-dn.net/?f=%3D%28%5Cfrac%7BA%28t%29%7D%7B1000%7D%29%28%204%5Cfrac%7Bgal%7D%7Bmin%7D%29%3D%5Cfrac%7BA%7D%7B250%7D)
Therefore:
The rate of change of amount of salt in the tank,
![\dfrac{dA}{dt}=$Rate In-Rate out\\\dfrac{dA}{dt}=8-\dfrac{A}{250}\\\dfrac{dA}{dt}=8-0.004A](https://tex.z-dn.net/?f=%5Cdfrac%7BdA%7D%7Bdt%7D%3D%24Rate%20In-Rate%20out%5C%5C%5Cdfrac%7BdA%7D%7Bdt%7D%3D8-%5Cdfrac%7BA%7D%7B250%7D%5C%5C%5Cdfrac%7BdA%7D%7Bdt%7D%3D8-0.004A)
Answer:
514 square feet
Step-by-step explanation:
2(7×4+4×5+5×7)+2(10×8+8×6+10×6)
=2*83 +2*188
=166+376
=542 square feet
7*4=28
542-28=514 square feet