Carbon Dating Algebra 2

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Carbon dating problems Problem 1 In order to determine the age of a piece of wood, the amount of Carbon -14 was measured . It was determined that the wood had lost 33 .1% of its Carbon -14 . How old is this piece of wood? Solution Carbon (C) has three naturally occurring isotopes . Both C-12 and C-13 are stable, but C-14 is radioactive
www .biology .arizona .edu › biomath › tutorials › Applications › Carbon .html
Carbon dating is based upon the decay of 14 C, a radioactive isotope of carbon with a relatively long half-life (5700 years) . While 12 C is the most abundant carbon isotope, there is a close to constant ratio of 12 C to 14 C in the environment, and hence in the molecules, cells, and tissues of living organisms .
Exponential FunctionsCarbon Dating . Carbon Dating . A group of archaeologists has discovered a new tomb in the Egyptian desert . They carefully open the hidden entrance, climb through several rooms filled with ancient treasures, until they arrive in the burial chamber . The sarcophagus is still sealed and contains the mummy of a Pharaoh .
Algebra 2 . Algebra & Geometry Algebra 1 Geometry Algebra 2 Algebra 1 Supports . . . . 7 .2: Radiocarbon Dating . Carbon -14 is used to find the age of certain artifacts and fossils . It has a half-life of 5,730 years, so if an object has carbon -14, it loses half of it every 5,730 years .
Using carbon -14 dating , so basically exponential decay, and this particular rate, we're supposed to figure out how old the tomb is . So let's a look . So we know our decay formula to be N is equal to N zero, e to the rt and they told us that our rate is a very small negative number and we have 71% of the original amount and we're supposed to find . . .
mathcent .mathstat .uregina .ca › beyond › articles › ExpDecay › Carbon14 .html
We can use a formula for carbon 14 dating to find the answer . Where t 1/2 is the half-life of the isotope carbon 14, t is the age of the fossil (or the date of death) and ln () is the natural logarithm function . If the fossil has 35% of its carbon 14 still, then we can substitute values into our equation . So, the fossil is 8,680 years old . . .
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Carbon dating has given archeologists a more accurate method by which they can determine the age of ancient artifacts . The halflife of carbon 14 is 5730 ± 30 years, and the method of dating lies in trying to determine how much carbon 14 (the radioactive isotope of carbon ) is present in the artifact and comparing it to levels currently present . . .
This TI-83 Plus and TI-84 Plus program solves several common algebra II problems . The program includes: An equation solver; Compound Interest, quadratic equation solver; geometric Mean-Distance formula; exponential decay, growth, and regression solver; annual yield calculator; logarithms (can do all bases); Half-life and carbon dating calculator; exponent solver; volumes of a sphere, cube . . .
MP .2 Reason abstractly and quantitatively . MP .3 Construct viable arguments & critique the reasoning of others . MP .4 Model with mathematics . MP .5 Use appropriate tools strategically .
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