Rate Law Problem

The following initial rate data was collected for the reaction, A + 2B $\longrightarrow$ products

B. Find the rate constant

The following initial rate data was collected for the reaction, 2 NO + O$_2$ $\longrightarrow$ 2NO$_2$

[NO$_2$]$^X$[O$_2$]$^Y$

When cyclopropane is heated to 500 $^\circ$C it changes to propene. The following data was obtained from experiment:

Confirm that the reaction is 1st order and calculate the rate constant.

An isotope of phosphorous, $^{32}$P, is radioactive and undergoes beta decay with a half life of 14.3 days. How long would it take for 99% of a sample of this isotope to decay?