Which number(s) below belong to the solution set of the equation? Check all

Mathematics

1 answer:

Brilliant_brown [7]3 years ago

6 0

Answer:

Step-by-step explanation:

x + 6 = 45 subtract 6 from both sides

x + 6 - 6 = 45 - 6

x = 39

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OLga [1]

Answers:

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3 years ago

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If you have two boxes,and in each box is 20 plates, how many boxes do you have

Free_Kalibri [48]

40 just multiply 20 by 2

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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:

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