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Sedbober [7]
2 years ago
11

A piece of rope 20 feet long is cut from a longer piece that is at least 32 feet long. The remainder is cut into four pieces of

equal length. Describe the length of each of the four pieces.
Mathematics
1 answer:
garri49 [273]2 years ago
7 0

Answer:

3

Step-by-step explanation:

32 - 20 = 12

12/4 = 3

This assumes that by remainder they mean they twelve feet left over and not the twenty feet removed. This is likely what it means.

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The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate
Veronika [31]

It takes 8.35 hours for the size of the sample to double

Step-by-step explanation:

The form of the continuous exponential growth model is

A=Pe^{rt} , where

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∵ The growth rate is 8.3%

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Use the formula of the contentious exponential growth above

∵ 2P=Pe^{0.083t}

- Divide both sides by P

∴ 2=e^{0.083t}

- Insert ㏑ in both sides

∴ ln(2)=ln(e^{0.083t})

- Remember ln(e^{n})=n because ㏑(e) = 1

∴ ln(2)=0.083t

- Divide both sides by 0.083

∴ \frac{ln(2)}{0.083}=t

∴ t = 8.35 hours to the nearest hundredth

It takes 8.35 hours for the size of the sample to double

Learn more:

You can learn more about the logarithmic function in brainly.com/question/1447265

#LearnwithBrainly

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Step-by-step explanation:


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