Question

A hot bowl of soup cools according to Newton's law of cooling. Its temperature (in degrees Fahrenheit) at time t is given by the function
T(t) = 68 + 144e^-0.04t
, where t is expressed in minutes. At what time will the soup reach 200F?
How do I solve this?

Answer 1

T(t) = 68 + 144e^-0.04t ---> So all of those t's in the equation are expressed in minutes right? Or is it just the one in the beginning? O_o

Answer 2

It's a function char -_-

Answer 3

Well excuse me Mr. I steal yer Peach Juice =.=

Answer 4

http://openstudy.com/study#/updates/50995ce0e4b02ec0829cb60e <-- TA DA

Answer 5

I think I'm supposed to set it to equal 200.
but I solved that and got 0.21 which is not an answer choice..

Answer 6

I want an explanation not an answer.

Answer 7

There's an explanation in there ya peanut ლ(́◉◞౪◟◉‵ლ)

Answer 8

Oh nvm I got it. its 2.175
or 2.18
so 2.18 minutes

Answer 9

When solving i made an error..

Answer 10

T(t) = 68 + 144e^-0.04t
200 = 68 + 144e^-0.04t
132/144 = e^-0.04t
0.91666666666 = e^-0.04t
ln 0.91666666666 / -0.04 = t
2.17528 = t

Answer 11

you were of no use.

Answer 12

huehuehuehue

Answer 13

You set T(t) = 200
So your new function would be ~ 200 = 68 + 144e^−0.04t
Then ya subtract 68 from both sides ~ Getting 132=144e^−0.04t
You are solving for t like any other equation, so you want t on one side and the value on the other side ~
Then ya divide both sides by 144 ~

Answer 14

Dude Q_Q

Answer 15

You cut me off Q_Q

Answer 16

</3

Answer 17

Yeah, Ik that, apparently your supposed to USE THE EXACT VALUE
for 132/144
i put 0.917
i guess rounding was a bad idea o-o

Answer 18

the exact value is 0.91666666666

Answer 19

Peanut head T_T

Answer 20

#mathlogic

Answer 21

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Answer 22

THAT'S RIGHT
MEDAL ME ლ(́◉◞౪◟◉‵ლ)

Answer 23

you better medal me or else I get the belt hun

Answer 24

I SOLVED IT ALL BY MESELF

Answer 25

\(\huge\color{CHOOSE}{\frak{You~Are~No~Match~For~Me~Wizard}}\) ლ(́◉◞౪◟◉‵ლ)

Answer 26

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Answer 27

DAM POLAR BEAR ლ(́◉◞౪◟◉‵ლ)

Answer 28

\[\Huge Good~girl.\]i take my leave.

Answer 29

Mother flapper ლ(́◉◞౪◟◉‵ლ)

Answer 30

I'll make sure that your kids hear about this in the future ~ ლ(́◉◞౪◟◉‵ლ)

Answer 31

AND YOUR DAM WIFE TOO ლ(́◉◞౪◟◉‵ლ)