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3 years ago

How many centiliters are in 6.02 decaliters?

1 answer:

6 0

1 centiliter is .01 of a liter.

6.02 decaliter is 60.2 liters.

6.02 decaliter is also 6020 centiliters

So 6.02 decaliter is 6020 centiliters

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A colony of bacteria is growing at a rate of 0.2 times its mass. Here time is measured in hours and mass in grams. The mass of t

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Answer:

Question 1: $dm/dt=0.2m$

Question 2: $m=Ae^{(0.2t)}$

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Explanation:

Question 1: Write down the differential equation the mass of the bacteria, m, satisfies: m′= .2m

a) By definition: $m'=dm/dt$

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c) By substitution: $dm/dt=0.2m$

Question 2: Find the general solution of this equation. Use A as a constant of integration.

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c) Antilogarithm

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Question 3. Which particular solution matches the additional information?

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First, find the mass at t = 3 hours

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Now substitute in the general solution of the differential equation, to find A:

$m=Ae^{(0.2t)}\\\\20=Ae^{(0.2\times 3)}\\\\A=20/e^{(0.6)}\\\\A=10.976$

Round A to 1 significant figure:

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$m=10e^{(0.2t)}$

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$m=10e^{0}\\\\m=10g$

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