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ArbitrLikvidat [17]
3 years ago
11

This probability distribution shows the

Mathematics
1 answer:
-Dominant- [34]3 years ago
8 0

Answer:

Answer is 0.14.

Step-by-step explanation:

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3,000+200+60+4=3,264
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Jackson's grandmother is moving to a new house. Grandmother has eighty-seven boxes for Jackson to put in the truck. Jackson puts
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plot $30 on the line above one and plot $50 on the line above two and keep doing the same thing

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Initially 5 grams of salt are dissolved into 10 liters of water. Brine with concentration of salt 5 grams per liter is added at
DiKsa [7]

Salt flows in at a rate of (5 g/L)*(3 L/min) = 15 g/min.

Salt flows out at a rate of (x/10 g/L)*(3 L/min) = 3x/10 g/min.

So the net flow rate of salt, given by x(t) in grams, is governed by the differential equation,

x'(t)=15-\dfrac{3x(t)}{10}

which is linear. Move the x term to the right side, then multiply both sides by e^{3t/10}:

e^{3t/10}x'+\dfrac{3e^{t/10}}{10}x=15e^{3t/10}

\implies\left(e^{3t/10}x\right)'=15e^{3t/10}

Integrate both sides, then solve for x:

e^{3t/10}x=50e^{3t/10}+C

\implies x(t)=50+Ce^{-3t/10}

Since the tank starts with 5 g of salt at time t=0, we have

5=50+C\implies C=-45

\implies\boxed{x(t)=50-45e^{-3t/10}}

The time it takes for the tank to hold 20 g of salt is t such that

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