Dating dinosaurs with potassium Dinosaur fossils are  often dated by using an element other than carbon, such  as potassium-40, that has a longer half-life (in this case,  approximately 1.25 billion years). Suppose the minimum detectable amount is 0.1% and a dinosaur is dated with 40K to be 68 million years old. Is such a dating possible? In  other words, what is the maximum age of a fossil that we  could date using 40K?

Q: Detennining Decay from Half-Life A cenain radioactive substance has a half-life of 5 hours. Find the…

A: By hay-site  , rate of decaycan be found out :0.5 = e5ren(0.5) = 5 rr = -0.139

Q: 5. Radium decomposes in air at the rate proportional to the present amount. If initially there are…

A: Here, given that radium decomposed in the air at a rate proportional to the present amount. Let,…

Q: .A population of eight beavers has been introduced into a new wetlands area. Biologists estimate…

A: Solution:

Q: Tests of a bone discovered in a dig at Saint Joseph’s University contained 27% its original amount…

A:

Q: Question-based on, "rounding to the nearest ten years".    I have tried this many times but unable…

A:

Q: Radium Decay Radium decays at a r* <Jroportional tothe amount present and has a half-life of 1…

A: Given: Half-life = 1,600 years Number of years = 6,400 years

Q: A piece of charcoal is found to contain 39% of the element B that it originally had. (a) When did…

A: Given that the half-life of element B is 5700 years, and a piece of charcoal found contains 39% of…

Q: Let P = P(t) be a quantity that obeys an exponential growth law with growth constant k. Show that P…

A:

Q: Strontium-90 has a half-life of 28 days.(a) A sample has a mass of 50 mg initially. Find a…

A:

Q: An artifact originally had 16 grams of carbon-14 present. The decay model A = 16 e -0.000121t…

A:

Q: Radioactive decay The mass of radioactive material in a sample has decreased by 30% since the decay…

A: We know that a function that decrease exponentially has the form yt=y0e-kt, where y0=y0 is the…

Q: Exercise 8: (a) A common type of smoke detector uses Americium-241, approximately 0.27 micrograms.…

A: First, find the equation of decay:   Here the decay is random. The number of Americium-241 decaying…

Q: The decay constant for a particular radioactive element is .032 when time is measured in years. Find…

A: Given decay constant of a radioactive element λ=0.032 To find the half life of the element.

Q: The area covered by a certain population of bacteria increases according to a continuous exponential…

A:

Q: 33. Early retirement. Lauren Johnson signs a 10-yr con- tract as a loan officer for a bank, at a…

A: Lauren has 3 years on her contract making $84,000 per year. With an interest rate of 4.7% the…

Q: Carbon-14 dating assumes that the carbon dioxide on Earth today has the same radioactive content as…

A: Let a be the amount of radioactive content in the charcoal. So, if λ is the decay rate, then we can…

Q: 6. A 200 g sample of polonium has a half-life of 40 days. This means that every 40 days, the amount…

A:

Q: The area covered by a certain population of bacteria increases according to a continuous exponential…

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Q: Scientists can determine the age of ancient objects by themethod of radiocarbon dating. The…

A: Here, we will use the known half-life of C to find the radioactivity after time t. We know that…

Q: Projection sensitivity According to the 2014 national population projections published by the U.S.…

A: a)Given, Given, Growth rate,r=0.79%=0.0079 Initial population=334.4 millions Find the population…

Q: Carbon 14 dating assumes that the carbon dioxide on Earth today has the same radioactive content as…

A:

Q: The decay constant for a particular radioactive element is 021 when time is measured in years. Find…

A:

Q: The area covered by a certain population of bacteria increases according to a continuous exponential…

A: (a) It is given that the sample culture has an initial area of y0=1.9 mm2 and it is observed that…

Q: 1. A tree contains a known percentage po of a radioactive substance with a half - life T. When the…

A: Given:-             It is a half life time problem. We need to use the formula is:…

Q: The area covered by a certain population of bacteria increases according to a continuous exponential…

A: Now,(a)It is given that the sample culture has an initial area of 64.6 sq mm and it is observed that…

Q: Carbon 14 dating assumes that the carbon dioxide on Earth today has the same radioactive content as…

A: A piece of ancient charcoal contains only 23% as much radioactive carbon as a piece of modern…

Q: An important tool in archeological research is radiocarbon dating, developed by the American chemist…

A:

Q: This exercise uses the radioactive decay model. A wooden artifact from an ancient tomb contains 70%…

A: Given information is as follows; Half life = 5730 years Fraction remaining = 70% = 0.7 The given…

Q: The development of an amusement park will increase the citys population at the rate of 4500V+ 1000…

A:

Q: A certain natural park is said to support 4,000 native buffalos. Initial survey indicates that there…

A:

Q: Carbon 14 dating assumes that the carbon dioxide on Earth today has the same radioactive content as…

A: Consider the provided information that the half-life of C14 is 5715 years and a piece of charcoal…

Q: Carbon 14 dating assumes that the carbon dioxide on Earth today has the same radioactive content as…

A: Given; Half life of 14C = 5715

Q: This exercise uses the radioactive decay model.The burial cloth of an Egyptian mummy is estimated to…

A: Let there was 100 unit carbon initially. So now 58 unit is remaining.

Q: The initial population size of rock ptarmigans in an area is 500 ptarmigans. The growth rate is 0.2…

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Q: 2. A model that describes the population of a fishery in which harvesting takes place at a constant…

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Q: Growth rate, A 20-year-old university student weighs 65 kg and had a birth weight of 3 kg. Prove…

A: From the given information, Weight at the time of birth = 3kg Weight at the 20 age =65 kg

Q: A tree farm starts with eight trees. Tree growth is expected to follow logistic growth with a first…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: 1. Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains…

A:

Q: 8. Radium-226 has a half-life of 1600 years. Geologists find a rock and determine it contains 70% of…

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Q: 12. Under ideal conditions, a population of rabbits has an exponential growth rate of 11.7% per day.…

A: Here we will find the time in days  to have 500,

Q: The decay constant for a particular radioactive element is .028 when time is measured in years. Find…

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Q: A stock is expected to experience supernormal growth in dividend e 10 percent, gi over the next five…

A:

Q: Dinosaur fossils are often dated with radioactive 40 potassium 4°K. The half-life of potassium K is…

A:

Q: Tests of a bone discovered in a dig at Saint Joseph’s University contained 27% its original amount…

A:

Q: Radium-226, a common isotope of Radium, has half-life of 1,700 years. A certain chemist has a…

A: The amount remaining of the object with half-life can be calculates using the half-life formula. The…

Q: Exercise #2: A radioactive material has a halF-life of 35 ycars. If A, represents the original…

A: Result: The model for decaying for a substance is represented by the function as follows:…

Q: Assuming natural growth, a population of bacteria begins with an initial count of 800. If after 5…

A: Given at t=0 the population is 800We know the formula for exponential decay is A(t)=A0ektand given…

Q: Ten Philippine eagles were introduced to a national park 10 years ago. There are now 23 eagles in…

A: 10 Philippine eagles were introduced to a national park 10 years ago. Currently, there are 23…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.