anonymous
  • anonymous
A cup of soup cooled from 90 to 60 degrees in 10 min in a 20 degree room. Use Newton's Law of Cooling to find how long it will take the soup to cool to 35 degrees when placed in a -15 degree freezer.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
ah, these are fun ones.
anonymous
  • anonymous
What has me here is that the k you get from the first equation shouldn't be the k used in the second equation, right?
anonymous
  • anonymous
I believe the k will stay the same

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anonymous
  • anonymous
so did you first solve \[40=70e ^{-10k}\] for k?
anonymous
  • anonymous
Correct.
anonymous
  • anonymous
you should be on the right track then using k=0.056
anonymous
  • anonymous
i get 13.25 minutes
anonymous
  • anonymous
That's what I got as well. I have another question if you're up for it: A gorilla habitat can support no more than 250 gorillas. 28 gorillas were initially in the habitat. Assume the rate of growth is \[dP/dt=.0004P(250-P)\] where t is in years. Derive a formula for the gorilla population in terms of t using partial fractions.

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