Radioactive Decay The half-life of cobalt is 5.27 years. If100 grams of radioactive cobalt is present now, how muchwill be present in 20 years? In 40 years?

Q: An unknown radioactive element decays into non-radioactive substances. In 1000 days the…

A: Radioactive elements follow the law of natural decay. That means the rate of decay of a radioactive…

Q: The half-life of Radium-226 is 1590 years. If a sample contains 100 mg, how many mg will remain…

A: Formula: N(t)= No(1/2)t/t1/2 No = initial quantity N(t)= remaining quantity t= time t1/2= half life

Q: The number of bacteria in a culture is increasing according to the law of exponential growth. The…

A: Given ,  The number of bacteria in a culture is increasing according to the law of exponential…

Q: The number of bacteria in a culture is increasing according to the law of exponential growth. After…

A: The number of bacteria in culture is increasing according to the law of exponential growth. The law…

Q: Find the present value PV of the given investment. (Round your answer to the nearest cent.) An…

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Q: Estimating the Date That a Prehistoric Man Died The bonesof a prehistoric man found in the desert of…

A: Bones of the prehistoric man contain 5% of original carbon14. The half life of carbon14 is 5730…

Q: Finding Half-Life If 250 mg of a radioactive element decays to 200 mg in 48 hours, find the…

A: Substitute m=200, m0=250, t= 48 and r=ln2h in mt=m0e-rt. mt=m0e-rt200=250e-48ln2h45=e-48ln2h

Q: antity of U-232 remains after 30 yea

A: The quantity remains after 30 years is 75%. It is given that AA0=0.75 , t=30 years. The equation…

Q: 9. Radioactive Decay The half-life of radium is 1690 years. If 10 grams is present now, how much…

A: The half-life of any substance represents the time required by that substance to reduce to half of…

Q: The half-life of the radioactive element unobtanium-29 is 10 seconds. If 80 grams of unobtanium-29…

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Q: True or False. Show work If the half-life of a substance is 5 hours then there will be 1/4 of the…

A: Answer is False. The half life of a substance is the time a given substance takes to be reduced to…

Q: Strontium 90 (Sr-90), a radioactive isotope of strontium, is present in the fallout resulting from…

A: The answer is found in step-2

Q: The number of bacteria in a culture is increasing according to the law of exponential growth. After…

A: Explanation of the answer is as follows

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

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Q: The half life of a radioactive substance is 25 years, if you  start  with some amount of this…

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Q: Uranium 235 is used as fuel for some nuclear reactors. It has a half-life of 710 million years. How…

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Q: An investment has been making money. Its value has been increasing at the rate of 6.4% per year.…

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Q: 3. The amount A, micrograms of a certain radioactive substance remaining after t years decreases…

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

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Q: . Radioactive Radon After 3 days a sample of radon-222 has decayed to 58% of its original amount.…

A: Given, mass of radon-222 decayed 58% of original amount m(t)=m(3)=0.58m0 0.58m0=m0e3ke3k=0.58 take…

Q: An unknown radioactive element decays into non- radioactive substances. In 320 days the…

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Q: The half-life of a radioactive kind of xenon is 9 hours. If you start with 32 grams of it, how much…

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Q: The half-life of a radioactive kind of americium is 16 hours. If you start with 1,320 grams of it,…

A: Radioactive decay

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

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Q: An unknown radioactive element decays into non-radioactive substances. In 660 days the radioactivity…

A: According to the given information, an unknown radioactive element decays into non-radioactive…

Q: Radium decomposes at a rate proportional to the amount present. In 100 years, 100 mg of radium is…

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Q: Radioactive Decay The half-life of radium is 1690 years.If 10 grams is present now, how much will be…

A: Given that, the half-life of radium is 1690 years, and the amount present is 10 grams.   The…

Q: The half-life of radioactive strontium-90 is approximately 31 years. In 1963, radioactive…

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Q: Use the approximate​ half-life formula for the case described below. Discuss whether the formula is…

A: Given that the initial population = 10000  Decline rate = 7% = 0.07  So the equation for the…

Q: An unknown radioactive element decays into non-radioactive substances. In 260 days the radioactivity…

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Q: Use the approximate​ half-life formula for the case described below. Discuss whether the formula is…

A: Hence the half life of forest is 13.86 years.

Q: The value of a CNC milling machine, originally valued at £240000, depreciates 15% per annum.…

A: Depreciation formula , P=Po(1-(r/100))n Where Po= original value P is the value after n years r=…

Q: A radioactive substance decays by 0.2% each year. a) If you started with 90mg of this substance, how…

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Q: Aradioactive chemical has a decay rate of approximately 5% per year Suppose that thès chemical is…

A: The amount of radio active substance remains after t years is given by             A = pk1-e-kt…

Q: Poaching is causing a population of elephants to decline by 5%pwr year. What is the half life for…

A: Given, the population of elephants decline by 5% per year. we know that half life formula is:…

Q: An unknown radioactive element decays into non-radioactive substances. In 420 days the radioactivity…

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Q: Q5: A sample contains 1 gram of Radium. Will more than 0.5 gram of Radium remain after 1000 year?…

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Q: The number of bacteria in a culture is increasing according to the law of exponential growth. After…

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Q: The half-life of radium-226 is 1600 years. Suppose we have a 22-mg sample presently. (a)  How much…

A: We can make it easier for you

Q: (5) Radioactive decay is measured in terms of "half-life", which is the number of years required for…

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Q: Radioactive isotope Palyium-2021 decays at a rate proportional to the amount present. If the…

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Q: Half-life: 2778 years Decay Rate, k: _____

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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: The half-life of a radioactive kind of nitrogen is 10 minutes. How much will be left after 40…

A: Radioactive decay occurs as an exponential function. That is given by…

Q: The number of bacteria in a culture is increasing according to the law of exponential growth. After…

A: Explanation of the answer is as follows

Q: An unknown radioactive element decays into non-radioactive substances. In 840 days the radioactivity…

A: Given: An unknown radio active element decays into non-radio active substances. In 840 days the…

Q: The number of bacteria in a culture is increasing according to the law of exponential growth. After…

A:

Q: An unknown radioactive element decays into non- radioactive substances. In 540 days the…

A: 1) The half life equation is P(t) = P (0)*(0.5)t/H   P(t) is the quantity at time t (proportional to…

Q: Yttirum-90 has a half-life of 64.10 hours. Given an initial mass of 750 grams of the sample, how…

A: See the detailed solution below.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.