What is the slope of the line below? If necessary, enter your answer as a

Mathematics

1 answer:

Serjik [45]3 years ago

8 0

Answer:

Step-by-step explanation:

(-7 - 1)/(-3 - 9)= -8/-12= 2/3

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=<br> Given f(x) 2x3 + kx + 6, and x + 2 is<br> a factor of f(x), then what is the value of k?

FinnZ [79.3K]

Answer:

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Step-by-step explanation:

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2 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:

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