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PIT_PIT [208]
3 years ago
13

Please help!!!!!

Mathematics
1 answer:
Mashcka [7]3 years ago
5 0

Answer:

The best answer is A.

Step-by-step explanation:

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A 200-liter tank initially full of water develops a leak at the bottom. Given that 20% of the water leaks out in the first 5 min
Leya [2.2K]

Answer:

127.53 liters left after 10 minutes

Step-by-step explanation:

Let

A \to Amount

t \to time

Given

A(0) = 200 --- initial

A(5) = 200 * (1 - 20\%) = 160 --- the amount left, after 5 minutes

Required

A(10) --- amount left after 5 minutes

To do this, we make use of:

A(t) = A(0) * e^{kt}

A(5)  = 160 implies that:

160 = 200 * e^{k*5}

Divide both sides by 200

0.80 = e^{k*5}

Take natural logarithm of both sides

\ln(0.80) = \ln(e^{k*5})

\ln(0.80) = \ln(e^{5k})

\ln(0.80) = 5k\ln(e)

So, we have:

-0.223 = 5k

Divide by 5

k = -0.045

So, the function is:

A(t) = A(0) * e^{kt}

A(t) = 200 * e^{-0.045t}

The amount after 10 minutes is:

A(10) = 200 * e^{-0.045*10}

A(10) = 200 * e^{-0.45}

A(10) = 127.53

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Step-by-step explanation:

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Answer:

C

Step-by-step explanation:

Expand the factors and compare the coefficients of like terms.

Given

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Compare coefficients of x² terms

3m = 12 ( divide both sides by 3 )

m = 4 → C

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4 years ago
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