What is x=14 -2y in standard formy'all ya girl needs help anyone willing to lend a hand??

Mathematics

1 answer:

Firlakuza [10]3 years ago

7 0

Im a dude but sure.

2y+x=14-2y+2y

x+2y=14

x+2y-x=14-x

2y=-x+14

2y/2=-(x+14)/2

y=-1/2x+7

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Answer:

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Step-by-step explanation:

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Answer:

a. $\frac{dT}{dt}=k(T-Tm); T(0)=190$

b. $C_{0}=122$

c. $k=-0.00259$

d. $t=153.39838\\$ minutos

Step-by-step explanation:

a. Newton's law of cooling states that the speed with which a body is cooled is proportional to the difference between its temperature and that of the medium in which it is found. Then, the initial value problem is given by:

$Tm=68$

$\frac{dT}{dt}=k(T-Tm); T(0)=190$

b. The differential equation obtained is a differential equation of separable variables:

$\frac{dT}{T-Tm}=kdt\\\\\int {\frac{dT}{T-Tm}}=\int{kdt}\\\\Ln|T-Tm|=kt+C\\\\T(t)=C_{0}e^{kt}+Tm=C_{0}e^{kt}+68\\\\T(0)=C_{0}e^{k(0)}+68=190\\\\C_{0}=122$