A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

If a cup of tea has an initial temperature of 203 degree F in a room whose temperature is 70 degreeF, then according to Newton's law of cooling the temperature of the tea after t minute have passed is

  • This Question is Closed
  1. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    T (t) =70+133e^(-t/5) what is the average temperature of the tea one hour after the initial time?? please help!

  2. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    replace t by 1. \[T(1)=70+133e^{\frac{-1}{5}}\]

  3. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i get 178.89 to two decimal places

  4. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    should 133 be 203?

  5. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    no

  6. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    i see it now lol 203 - 70 right?

  7. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    the room temp is 70, 203-70=133 and it is the difference that decays

  8. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    how do you get that answer of 178.89 from that equation? b/c i got something different :(

  9. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yeah, so t = -60 minutes if that is accurate....

  10. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    70 + (133 * (e^((-60) / 5))) = 70.0008172 is what google figures out

  11. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    or is this a recursion equation.... and not a particular solution?

  12. amistre64
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    nah; particular it is; no place for a T{n-1} lol

  13. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.