If 26 grams of radioactive waste reduces to 19.35 grams of radioactive waste after 1120 years, then what is the half-life for this radioactive element (i.e., how long will it take for 10 grams to reduce to 5 grams)? The half-life model is y = Yoekt.

Q: The decay equation for radon-222 gas is known tobe y = y0e^-0.18t, with t in days. About how long…

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Q: find the decay constant

A: In this question, to find the decay constant by using the formula obtained with the help of the…

Q: Assume that radium disintegrates/decomposes at a rate proportional to the amount present. If 100 mg…

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Q: Over the past fifty years the carbon dioxide level in the atmosphere has increased. Carbon dioxide…

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Q: The​ half-life of​ carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree…

A: Given that the​ half-life of​ carbon-14 is 5600 years and if a piece of charcoal made from the wood…

Q: The half-life of the radioactive element tritium is 12 years. Find its decay constant.

A: We have, the half-life of the radioactive element tritium is 12 years. As we know that, The time in…

Q: The biomass of a yeast culture in an experiment is initially 29 grams. After 30 minutes the mass is…

A: Given: The biomass of a yeast culture in an experiment is initially 29 grams. After 30 minutes the…

Q: Suppose a population grows according to a logistic model with initial population 500 and carrying…

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Q: Suppose that a population grows according to a logistic model with carrying capacity 6500 and k =…

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Q: The half-life of radioactive cobalt is 5.27 years. Suppose that a nuclear accident has left the…

A: Given:    Half-life of radioactive cobalt =5.27 years    The proportion p that remains after y years…

Q: After 2250 years, 25% of a radioactive material remains. If the rate of decay of the material is…

A: Half-life = 0.693/Decay constant(lambda)

Q: Find an exponential growth or decay model in terms of the number of time periods x. P(x) -

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Q: How long will it take 70 grams of cobalt-60 to decay to 7 grams? The half-life of cobalt-60 is 5.3…

A: Given data is : Initial 70 gram of cobalt -60 A0=70 gram  Let after t years cobalt-60 decay to 7…

Q: 2. Suppose that we initially have 500 mg of a radio-active substance as sample. After a year, the…

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Q: If the starting point is 900, and the decay rate is 3%, choose the exponential function.

A: Starting point refers to the initial value. Decay rate is 3% = 0.03

Q: If 200 mg of radium is reduces to 160 mgof radium in 400 years Write the mathematical model to…

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Q: Suppose a population grows according to a logistic model with initial population 1000 and carrying…

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Q: If we are modeling a herd of clk, with an initial population of 100, in a region with a carrying…

A: Given that The population of elk satisfies a logistic growth model and  Initial population = 100…

Q: A scientist wants to determine the halflife of a certain radioactive substance. She determines that…

A: The half life function is given by: N(t)=N0(0.5)t/t1/2 where N(t) is the final amount in milligrams…

Q: Suppose you have a 1024 mg sample of a substance known to have a half-life of 50 years. Find the…

A: Given half-life of sample=50 yrs and the initial sample is = 1024mg.

Q: Radioactive radium has a half-life of 1899 years. If 20g of the substance are present initially,…

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Q: If dairy cows eat hay containing  too much iodine 131, their milk will be unfit to drink. Iodine 131…

A: Given:- If dairy cows eat hay containing  too much iodine 131, their milk will be unfit to drink.…

Q: Consider a population that begins growing exponentially at a base rate of 4.1​% per year and then…

A: Given that a population is begins growing exponentially at a base rate of  r=4.1% per year and then…

Q: The half-life of plutonium-241 is approximately 13 years. How much time is necessary for a sample…

A: The exponential formula for decay is given as: A=A0e-λt               ⋯2, where A is future amount,…

Q: The half-life of radium-226 is approximately 1620years.a. How much of a sample weighing 4 g will…

A: For a radioactive material, we have N(t)=N012tt1/2 Where N(t)=quantity of the material remaining.…

Q: The half-life radium-226 is 1622 years. Find its decay constant.

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Q: A radioactive substance has a half life of 175 years. Find the decay constant, r, for this…

A: A radioactive substance has a half life of 175 years

Q: city of half a million, there are initially 400 cases of a particularly virulent strain of flu. The…

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Q: Assume a substance has a half-life of 11 years and the initial amount is 133 grams.How long will it…

A: If A0 is initial amount present and T is half -life of the substance. Then the amount of substance…

Q: 2. Assume that radium disintegrates/decomposes at a rate proportional to the amount present. If 100…

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Q: Radium has a weight of 1.5 and a half life of 6 years. What is its weight after 3 years?

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Q: Strontium-90 has a half-life of 25 years. How many years would it take 10 grams of strontium-90 to…

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Q: the number of bacteria in a certain population increases to a continuous exponential growth rate,…

A: NOTE: Refresh your page if you can't see any equations. . the given growth rate is  r=6.2%=0.062

Q: If 100 grams of a radioactive material diminish to 80 grams in 2 years, find the half-life of the…

A: Let the given condition can be modeled as  y=y0eλt   where, y=  Final quantity y0= Initial quantity…

Q: The​ half-life of​ carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree…

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Q: If an initial population of 32 grows exponentially at a rate of 50% per year, then what will the…

A: Given,          An initial population of 32 grows exponentially at a rate of 50% per year.We know…

Q: Suppose a population grows according to a logistic model with initial population 200 and carrying…

A: The logistic differential equation is dPdt=kP1-PL, where L is the carrying capacity. The solution of…

Q: Suppose that we initially have 500 mg of a radio-active substance as sample. After a year, the…

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Q: If a village has a population of 2000 and a natural growth rate of 3.7% but has a carrying capacity…

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Q: The decay equation for radon-222 gas is known to be y = y0 e-0.18t, with t in days. About how long…

A: The decay equation for radon-222 gas is known to be y = y0 e-0.18t, with t in days. About how long…

Q: The biomass of a yeast culture in an experiment is initially 29 grams. After 30 minutes the mass is…

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Q: The number of bacteria in a certain population increases according to a continuous exponential…

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

A: Initial radium quantity Ni = 100 mg after t = 100 years N = 96 mg

Q: 2. Assume that radium disintegrates/decomposes at a rate proportional to the amount present. If 100…

A: Let Q  = amount of substance present            dQdt=kQ             integrating on both sides…

Q: a) If an investment grows in value at 2.4% per year, how long will it take for its value to double?…

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Q: The current student population of Pittsburgh is 2100. If the population decreases at a rate of 11.8%…

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Q: The half-life of carbon-14 is 5730 years. How long does it take for 2.1 grams of carbon-14 to be…

A: A(t)=A0(1/2)t/h h is the half life A0 is the initial value

Q: A radioactive substance is known to have a half-life of 78 years. Calculate the number of years it…

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Q: After 15 years, one fourth of the initial mass of radioactive substance has decayed. a) Find the…

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