$5.$ The radioactive isotope $(\backslash (^\{99\}$Rh$\backslash ))$ has a half$-$life of $10\mathrm{.}1$ days. A sample containing this isotope has an initial activity at $(\backslash ($t $=0\backslash ))$ of $\backslash (4\mathrm{.}50\backslash$times $10^8\backslash ,\backslash$text$\{$Bq$\}\backslash ).$ Calculate the number of nuclei that will decay in the time interval between $\backslash ($t$\_1=34\mathrm{.}0\backslash ,\backslash$text$\{$hours$\}\backslash )$ and $\backslash ($t$\_2=65\mathrm{.}0\backslash ,\backslash$text$\{$hours$\}\backslash ).\_\_\_\_\_\_$nuclei