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SCORPION-xisa [38]
3 years ago
15

Clara's suitcase weighs 58

Mathematics
1 answer:
wolverine [178]3 years ago
8 0
I'm thinking you meant to put 58.14, but maybe its something else. All you do is subtract 50 from whatever the number is. If what you meant to put was 58.14, then she has to remove 8.14 pounds
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Step-by-step explanation:

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A tank contains 250 liters of fluid in which 20 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pu
Vilka [71]

Answer:

A(t)=250-230e^{-\frac{t}{50} }

Step-by-step explanation:

A(t) is the amount of salt in the tank at time t.

dA / dt = rate of salt flowing into the tank - rate of salt going out of the tank

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dA / dt = 5 g/min - (A(t) / 50) g/min

\frac{dA}{dt}+\frac{A(t)}{50} = 5\\\\The\ integrating\ factor(IF)= e^{\int\limits \frac{1}{50}dt }=e^{\frac{t}{50} }\\\\Multiplying\ through\ by\ the\ I.F:\\\\\frac{dA}{dt}*e^{\frac{t}{50} }+\frac{A(t)}{50}*e^{\frac{t}{50} } = 5*e^{\frac{t}{50} }\\\\Integrating \ both \ sides:\\\\\int\limits[  \frac{dA}{dt}*e^{\frac{t}{50} }+\frac{A(t)}{50}*e^{\frac{t}{50} }] dt=\int\limits  5e^{\frac{t}{50} } dt\\\\A(t)e^{\frac{t}{50} } =\int\limits  5e^{\frac{t}{50} } dt\\\\

A(t)e^{\frac{t}{50} } =250e^{\frac{t}{50} }+C\\\\A(t)=250+Ce^{-\frac{t}{50} }\\\\But\ A(0) = 20\\\\20=250+Ce^{-\frac{0}{50} }\\\\C+250=20\\\\C=-230\\\\A(t)=250-230e^{-\frac{t}{50} }

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Answer:

271 to 133

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