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lara [203]
3 years ago
10

Help? Please I don’t get this

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
7 0
Volume = pi x radius squared x height
v=3pixr^2x3
v=27pi
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Which fraction is represented by the red portion of the picture?
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A tank contains 250 liters of fluid in which 40 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pu
VashaNatasha [74]

Answer:

A(t)=250-210e^{-\frac{t}{50}}

Step-by-step explanation:

We are given that

Volume,V=250 L

Mass of salt=m=40 g

Brine containing 1 g per liter

Pumped into the tank at the rate=5 L/min

We have to find the number A(t) of grams of salt in the tank at time t.

Rate of change of salt in the tank

\frac{dA}{dt}=Rate in-Rate out

Rate in=5 L/min

Rate out=\frac{A}{250}\times 5=\frac{A}{50} L/min

\frac{dA}{dt}=5-\frac{A}{50}=\frac{250-A}{50}

\int \frac{50dA}{250-A}=\int dt

-50ln(250-A)=t+C

Using the formula

\int \frac{dx}{x}=ln x

A=40 and t=0

-50ln(250-40)=0+C

-50ln(210)=C

Substitute the value

-50ln(250-A)=t-50ln(210)

-50ln(250-A)+50ln(210)=t

50ln\frac{210}{250-A}=t

t=50ln\frac{210}{250-A}

\frac{t}{50}=ln\frac{210}{250-A}

\frac{210}{250-A}=e^{\frac{t}{50}

\frac{250-A}{210}=e^{-\frac{t}{50}}

250-A=210e^{-\frac{t}{50}}

A(t)=250-210e^{-\frac{t}{50}}

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(20 POINTS!!!)
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Answer:

1360  inches

Step-by-step explanation:

If you follow the formula, and use these values you get 1360. BTW ARMMYYYYYYY.

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Identify the following number as rational or irrational 3.2573820193748...
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Step-by-step explanation:

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