the half-life of carbon - 14 is 5730 years. What fraction of carbon-14 would remain after 11,460 years?

= 1/4

Explanation:

Half life refers to the time taken by a radioactive isotope or atom to decay by half of its original mass.

Using the formula;

N = O * (1/2) ^t;

Where N is the new mass after decay, while O is the original mass of the radioactive isotope before decay, while t is the number of half lives.

Therefore;

Number of half lives = 11, 460/5730 = 2 half lives

Thus;

New fraction = 1 * (1/2) ²

= 1/4

Therefore, the fraction that will remain after decay is 1/4 of carbon-14.