4 years ago

2×5/14 write your answer as afraction in simplest form

Mathematics

1 answer:

Mashutka [201]4 years ago

7 0

Answer: 5/7

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

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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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$10-P=e^{-t+C}\\ \\ 10-P=Ke^{-t}\\ \\ P=10-Ke^{-t}$

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K = 10 - 4

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2×5/14 write your answer as afraction in simplest form​

2×5/14 write your answer as afraction in simplest form