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gregori [183]
3 years ago
13

Help Me Please its math >.<

Mathematics
1 answer:
ratelena [41]3 years ago
8 0
I can only do number 1 sorry :(
4x+y=2x-y what you have to do is sort the numbers into x and y so it becomes 4x - 2x = -y -y. (Remember when it crosses the = it becomes minus!) Then solve it to get 2x = -2y = 3      so x is 0.66 and y is -0.66 I guess?
I am probably wrong because I am not good at algebra but good at other stuff
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Licemer1 [7]
If A(t) is the amount of salt in the tank at time t, then the rate at which this amount changes over time is given by the ODE

A'(t)=\dfrac{3\text{ gal}}{1\text{ min}}\cdot\dfrac{5\text{ lb}}{1\text{ gal}}-\dfrac{3\text{ gal}}{1\text{ min}}\cdot\dfrac{A(t)\text{ lb}}{300+(3-3)t\text{ gal}}

A'(t)+\dfrac1{100}A(t)=15

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Multiply both sides by an integrating factor, e^{t/100}:

e^{t/100}A'(t)+\dfrac1{100}e^{t/100}A(t)=15e^{t/100}
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Since A(0)=0, we have

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so that the amount of salt in the tank over time is given by

A(t)=1500(1-e^{-t/100})

After 10 minutes, the amount of salt in the tank is

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