Answer:
this kinda math isn't my strong suit my best guess would be 0.02
Answer:
do what?
Step-by-step explanation:
When two functions vary inversely with each other, they are usually in the form y = k / x, where k is the constant of proportionality.
To find the equation for the inverse variation, find the constant of proportionality. Do that by substituting the values for x and y into y = k / x and solving for k.
y = k / x
4 = k / 6
24 = k
Answer:
The constant of proportionality is 24. The equation for the inverse variation is y = 24/x.
Answer:
A
Step-by-step explanation:
Hope it helps. Please also mark brainliest
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
