The half-life of the carbon 14 isotope is 5730 years. If there were 4 billion atoms of C-14 in a particular organism at the time it died, how many atoms of C-14 would there be in the remains of that organism 11,460 years after it died?

1 billion

Explanation:

The computation of the number of atoms for C-14 is shown below:

Because it is mentioned

Half the isotope for carbon 14 is 5,730 years

Currently if there had been 4 billion it would equate to 2 billion

Now that the 2 billion would've been 1 billion in the next 5,730 years

And it'll become 3 half-life

Therefore the number of C-14 atoms is 1 billion

a: 45.9 meters

b: 4.29 seconds

step-by-step explanation:

a: h(t)=1/2(-9.8)(3)^2+0(3)+90

h(t)=-4.9(3)^2+90

h(t)=-44.1+90

h(t)=45.9 meters

b: 0=1/2(-9.8)(t^2)+0t+90

0=-4.9t^2+90

-90=-4.9t^2

18.37=t^2

t=4.29 seconds

in the second question, the numbers aren't exact, but they're a close approximation.