# Which of the following are in the correct order from least to greatest? x 25, 6 80°, 4, 38° * 7 38°, 80°, 4, 6,23 7 38°,

Which of the following are in the correct order from least to greatest?
x
25, 6
80°, 4, 38°
* 7
38°, 80°, 4, 6,23
7
38°, 1.800,
6, 257
7
27, 38°, 80°, 4, 6

## This Post Has 2 Comments

1. 1230bering says:

You have the correct approximate value of k. The part after that is where things get a bit strange.

You don't plug in t = 5 again. We don't know the value of t yet. We're trying to solve for it.

We do know u(t) is 135 as we want the temperature to be 135 degrees. Plug this in and isolate t.

So
u(t) = 70+380e^(-0.1004183888t)
135 = 70+380e^(-0.1004183888t)
135-70 = 380e^(-0.1004183888t)
65 = 380e^(-0.1004183888t)
380e^(-0.1004183888t) = 65
e^(-0.1004183888t) = 65/380
e^(-0.1004183888t) = 13/76
-0.1004183888t = ln(13/76)
-0.1004183888t = -1.7657839828248
t = -1.7657839828248/(-0.1004183888)
t = 17.5842692152893

So it takes about 17.58 minutes for the item to cool to the desired temp

2. PoTubbs says:

47.5%

Step-by-step explanation: