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sleet_krkn [62]

3 years ago

5

Jessica has already painted 4 birdhouses for her summer camp group. She continues to work, painting 6 houses every two hours’ wh

at’s the liner equation ?

1 answer:

makvit [3.9K]3 years ago

4 0

Answer:

4 + 6h = total Houses

Step-by-step explanation:

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6. A tank contains 100-gallon of pure water. At time t = 0, a solution containing 2 lb of salt per gallon flows into the tank at

SOVA2 [1]

Answer:

The answer is below

Step-by-step explanation:

Let Q represent the amount of salt in the tank at time t.

$\frac{dQ}{dt}= flow\ in - flow\ out\\ \\flow\ in=3\ gal/min*2\ lb/gal=6\ lb/min\\\\net\ gain\ in\ tank\ volume=3-4=-1, henceflow\ out= \frac{4Q}{100-t} \\\\\frac{dQ}{dt}= 6-\frac{4Q}{100-t} \\\\\frac{dQ}{dt}+ \frac{4Q}{100-t}=6\\\\The \ integrating\ factor\ is:\\\\IF=e^{\int\limits {\frac{4}{100-t} } \, dt }=e^{-4\int\limits {\frac{-1}{100-t}}=e^{-4ln(100-t)}=(100-t)^{-4}}\\\\Multiplying\ through \ by\ IF: \\\\(100-t)^{-4}\frac{dQ}{dt}+ (100-t)^{-4}\frac{4Q}{100-t}=6(100-t)^{-4}\\\\$

$Integrating:\\\\A(100-t)^{-4}=-2(100-t)^{-3}+c\\\\A=-2(100-t)+\frac{c}{(100-t)^{-4}} \\\\at, t=0,A=0\\\\0=-2(100-0)+\frac{c}{(100-0)^{-4}}\\\\c=0.02\\\\A=-2(100-t)+\frac{0.02}{(100-t)^{-4}}$

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3 years ago

I suck at this type of math because the teacher did not explain good enough and I’m stuck.

lisabon 2012 [21]

Answer:

21

Step-by-step explanation:

2^2+b^2=5^2

4+b^2=25

b^2=21

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Red

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Pepsi [2]

Answer:

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Under what operation are the set of integers closed? Explain your answer

torisob [31]

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asambeis [7]

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3 years ago