Radioactive carbon, or c-14, is used to date fossil remains. when c-14 decays, as seen in the nuclear equation, it produces what nuclide of nitrogen? a) n-7 b) n-13 c) n-14 d) n-15

The reaction of radiodecay of carbon C-14 is
C-14 --> N-14 + e- + (ve)
where e- is an electron and (ve) is an electron-type antineutrino.
Basically, when the carbon nucleus (atomic number: 6, mass number: 14) decays, a neutron of the nucleus converts into a proton (therefore, the mass number remains the same, 14, but the atomic number increases by 1, therefore it becomes nitrogen) and releases an electron-antineutrino pair. 

So, the correct answer is C), N-14.