Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

knbarwrgwddsg Group Title

The half-life of radium is 1600 years. If the initial amount is q0 milligrams, then the quantity q(t) remaining after t years is given by q(t) = q02kt. Find k.

  • one year ago
  • one year ago

  • This Question is Open
  1. wio Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    So the equation is\[ q(t) = q_02^{kt} \]

    • one year ago
  2. wio Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Now, the quantity is going to be halved each time so we know \(k\) is going to be negative. \[ q(t)=q_0\left(\frac{1}{2}\right)^{-kt} \]

    • one year ago
  3. wio Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    We also know: \[ q(1600) = \frac{q_0}{2} = q\left(\frac{1}{2}\right)^{1} \]Since it is the half-life as well as\[ q(1600)=q_0\left(\frac{1}{2}\right)^{-k(1600)}\]See the pattern?\[ 1=-k(1600) \]

    • one year ago
  4. wio Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Solving for \(k\) gives us: \[ k = -\frac{1}{1600} \]

    • one year ago
  5. wio Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    @knbarwrgwddsg get it?

    • one year ago
    • Attachments:

See more questions >>>

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.