Question

PLEASE I NEED HELP ASAP

Find the substance's half-life, in days.
Round your answer to the nearest tenth.
A 11 gram sample of a substance that's
used to treat thyroid disorders has a k-
value of 0.1247.
Enter the correct answer.
N = Noekt
DONE
No = initial mass (at time t = 0)
ĐOO
t?
N = mass at time t.
k = a positive constant that depends on
the substance itself and on the units
used to measure time
t = time, in days

Answer 1

Answer: 55.6 days

Explanation:

`P=P_oe^(kt)\\\\\bullet \quad P=(1)/(2)P_0\\\bullet \quad k=-0.1247\\\bullet \quad t = unknown\\\\\\(1)/(2)P_o=P_oe^(-0.1247t)\\\\\\(1)/(2)=e^(-0.1247t)\\\\\\ln\bigg((1)/(2)\bigg)=-0.1247t\\\\\\(ln(1)/(2))/(-0.1247)= t\\\\\\\large\boxed{55.6=t}`