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3 years ago

Help!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

IceJOKER [234]3 years ago

5 0

Answer:

i think b

Step-by-step explanation:

(2,2). When x of the line is 2, y of the line must be 2.

(-2,-2). When x of the line is -2, y of the line must be -2.

(2,2). y=mx+b or 2=1 × 2+b, or solving for b: b=2-(1)(2). b=0.

(-2,-2). y=mx+b or -2=1 × -2+b, or solving for b: b=-2-(1)(-2). b=0.

The equation of the line that passes through the points

(2,2) and (-2,-2)

y=1x

b came out to be zero, so there is no "+b" term.

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3 years ago

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3 years ago

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3 years ago

(1 point) Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference betw

slavikrds [6]

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:

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