We are asked to determine the half-life of an isotope. To do that we will use the following formula:
[tex]T=\frac{ln(2)}{\lambda}[/tex]Where:
[tex]\begin{gathered} T=\text{ half-life} \\ \lambda=\text{ decay constant} \end{gathered}[/tex]Now, we plug in the values:
[tex]T=\frac{ln(2)}{0.00567}[/tex]Solving the operations:
[tex]T=122.25[/tex]Therefore, the half-life is 122.25