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The radioactive element carbon -14 has a half-life of 5750 years. A scientist determined that the bones from a mastodon h were discovered?

          The radioactive element carbon -14 has a half-life of 5750 years. A scientist determined that the bones from a mastodon h were discovered?
        

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Chemistry: Structure and Properties
Chemistry: Structure and Properties
Nivaldo Tro 2nd Edition
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The radioactive element carbon -14 has a half-life of 5750 years. A scientist determined that the bones from a mastodon h were discovered?
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The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the bones from a mastodon had lost 84.2% of their carbon-14. How old were the bones at the time they were discovered? The bones were about [insert correct answer] years old. (Round to the nearest integer as needed)

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The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the bones from a mastodon had lost 74.6% of their carbon-14. How old were the bones at the time they were discovered? The bones were about nothing years old.

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Transcript

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00:02 Okay, here it is given that the half -life of carbon 14 is 5 ,750 years, right? and scientists determined that the bones had lost 84 .2 % of carbon 14, right? which means the remaining amount is 100 minus 84 .2%.
00:24 Right, so that is equal to 15 .8%.
00:29 Right so we can write 0 .158 right okay now we need to find the age of the bone right which means we need to find the value of t right so here we can use the formula y is equal to a multiply by 0 .5 raise to t by p right and here a that is the initial amount right so initial amount that is obviously 100 % right so for 100 % we can write 1 right so here y is equal to 0 .158 a is equal to 1 so no need to write 1 and here p is equal to 5 750 right now take the natural logarithm on both sides right now solve this equation for t right so here approximate value of is 15 ,307 years...
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