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3 years ago

15

Write an equation in slope-intercept form of the line with a y-intercept of -6 and is parallel to a line that is perpendicular t

o 5x + 6y - 13 = 0

1 answer:

padilas [110]3 years ago

3 0

Answer:

y= −5/6 x+ 13/ 6

Step-by-step explanation:

I think tis the type of answer your looking for let me know if it's not

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(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:

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

c. After 33 minutes of serving the coffee has cooled to 180°:

$T(33)=122e^{33k}+68=180\\\\e^{33k}=\frac{112}{122}\\\\33k=Ln(\frac{112}{122})\\\\k=-0.00259$

d.

$150=122e^{-0.00259t}+68\\\\Ln(\frac{150-68}{122})=-0.00259t\\\\t=153.39838\\\\$

8 0

3 years ago

If x = 4, which inequality is true?<br> A) -2 -3x 12<br> C) 2x -4 -13<br> Show your work

wolverine [178]

Answer:

true

Step-by-step A

4 0

3 years ago

Nine times the sum of a number and 8 is 7

Sladkaya [172]

this is the equation x+9+8=7

5 0

3 years ago

5(2x-8)<br><br>please help. I will mark brainliest!

noname [10]

Answer:

just multiply 2x-8 by 5

which is

$10x - 40$

5 0

3 years ago

Read 2 more answers

an equilateral triangle has an altitude length of 15 m. what is the perimeter of the triangle (1 point )

klemol [59]

Answer:

30√3 = 51.9615 meters

Good luck

8 0

3 years ago