Question

At the beginning of an experiment, a scientist has 208 grams of radioactive goo. after 165 minutes, her sample has decayed to 6.5 grams. what is the half-life of the goo in minutes? find a formula for G(t), the amount of goo remaining at time t. G(t)= how many grams of goo will remain after 38 minutes?

Name: at the beginning of an experiment a scientist has 208 grams of radioactive goo after 165 minutes her sample has decayed to 65 grams what is the half life of the goo in minutes find a formula 77326
Uploaded: 2022-10-03T17:57:33-08:00
Duration: 2 min 38 s
Channel: Gregory Higby
Description: at the beginning of an experiment a scientist has 208 grams of radioactive goo after 165 minutes her sample has decayed to 65 grams what is the half life of the goo in minutes find a formula 77326

          At the beginning of an experiment, a scientist has 208 grams of
radioactive goo. after 165 minutes, her sample has decayed to 6.5
grams.
what is the half-life of the goo in minutes?
find a formula for G(t), the amount of goo remaining at time t.
G(t)=
how many grams of goo will remain after 38 minutes?

Added by Corey S.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Gregory Higby

10/03/2022

Step 1

5}{208})} \] \[ t_{1/2} = \frac{165 \times \log(0.5)}{\log(0.03125)} \] \[ t_{1/2} = \frac{165 \times -0.3010}{-1.5051} \] \[ t_{1/2} = \frac{-49.665}{-1.5051} \] \[ t_{1/2} \approx 33 \text{ minutes} \] ** Show more…

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At the beginning of an experiment, a scientist has 208 grams of radioactive goo. after 165 minutes, her sample has decayed to 6.5 grams. what is the half-life of the goo in minutes? find a formula for G(t), the amount of goo remaining at time t. G(t)= how many grams of goo will remain after 38 minutes?