4 years ago

Triangle ABC is transformed to triangle A′B′C′, as shown below:

Mathematics

1 answer:

aniked [119]4 years ago

7 0

Answer: Ok so theres no letter or number options to choose from but the answer is B. Hope this helps :)

Step-by-step explanation:

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Answer:

Option C. $P=10-6e^{-t}$

Explanation:

1. Separate variables:

$\dfrac{dP}{dt}+P=10\\ \\ \\ \\\dfrac{dP}{dt}=-P+10\\ \\ \\ \dfrac{dP}{-P+10}=dt$

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$-\ln{(10-P)}=t+C$

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4 = 10 - K

K = 10 - 4

K = 6

5. Substitute K = 6 into the integrated equation:

$P=10-6e^{-t}$

That is the option C.

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