Living organisms can be dated by the amount of carbon-14 present at time(t)
compared to the amount present when the organism was alive. the half-life of carbon-14 is 5730. how long would it take for a 185 microgram sample of carbon-14 decay to 24 grams? (round to the nearest 100 years.)

  97,300 years

Step-by-step explanation:

The decay formula is ...

  decayed value = (initial value)×(1/2)^(t/(half-life))

Filling in the numbers and solving for t, we get ...

  185×10^-6 = 24×(1/2)^(t/5730)

Taking logs, we have ...

  log(185×10^-6) = log(24) + (t/5730)log(1/2)

  (log(185×10^-6) -log(24))×5730/log(1/2) = t . . . . . solve for t

  (-3.73283 -1.38021)×5730/-0.301030 = t = 97324.9 ≈ 97,300

It would take about 97,300 years for 24 grams to decay to 185 micrograms.

its 0.1 miles per minute

the volume is the product of the area of the base, 3x(3x+4), and the height, 3x-1

step-by-step explanation: