QUESTION 3 235 23*3arnaineFAZ Eliz Mit Model [10 pts] The year 2250: a group of UConn students are hiking in Rhode Island. They come across the remains of a log cabin that they think may have belonged to Dave McArdle, a former UConn math professor. They decide to test a sample of the log for its disintegrations in order to determine how old it is. They found the rate of decay to be 6.45 disintegrations per minute per gram of sample. Living wood gives 68 disintegrations per minute per gram. Could this log cabin have belonged to Dave? Support your conclusion with mathematical calculations. You must use the fact that N(t) = N(0)e^(-At) where N(t) is the amount of C-14 at time t and A = 1.245 * 10^-4 is the decay constant of C-14.
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Ratio = (Decay rate of sample) / (Decay rate of living wood) Ratio = (6.45 disintegrations/min/gram) / (68 disintegrations/min/gram) Now, we can use the formula N(t) = N_0 * e^(-λt), where N(t) is the amount of 14C at time t, N_0 is the initial amount of 14C, λ Show more…
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Designing exponential decay functions Devise an exponential decay function that fits the following data; then answer the accompanying questions. Be sure to identify the reference point $(t=0)$ and units of time. Carbon dating The half-life of $\mathrm{C}-14$ is about 5730 yr. a. Archaeologists find a piece of cloth painted with organic dyes. Analysis of the dye in the cloth shows that only $77 \%$ of the $\mathrm{C}-14$ originally in the dye remains. When was the cloth painted? b. A well-preserved piece of wood found at an archaeological site has $6.2 \%$ of the $\mathrm{C}-14$ that it had when it was alive. Estimate when the wood was cut.
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Hi I need help with question 3-6, I can find the solutions online but I don't understand them because I have not learned grade 12 advanced functions or university function. So could you please explain all three questions use Exponential functions, take in mind that I am grade 11, I don't understand logathrim, in and more. So please remember that. Thanks
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Charcoal samples from holes dug at Stonehenge, England, have a 14C specific activity of 9.50 dpm (disintegrations per minute) per gram of carbon. Living wood has a specific activity of 15.3 dpm per gram of carbon. Given the half-life of 14C is 5730 years, how long ago was the wood part of a living plant?
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