24. Suppose that the half-life of Plutonium is 24000 years. a) Find a function P(t) that models the amount of Plutonium after t years, if the initial amount is 200 grams.

Q: Suppose a small quantity of radon gas, which has a half-life of 3.8 days, is accidentally released…

A: half life problem

Q: suppose that 50,000 bacteria are in a dish and that the population decays continuously by 4% per…

A: Population decay

Q: According to estimates, the global emissions of CO2 in the energy sector will total about 36 billion…

A: Given that the amount of CO2 emissions in the energy sector in 2020 is about 36 billion metric tons.…

Q: 6. The radioactive isotope of lead, PB-209, decays at a rate proportional to the amount present at…

A: Let's find time to take 90% of the lead to decay.

Q: suppose that 50,000 bacteria are in a dish and that the population decays continuously by 4% per…

A: suppose that 50,000 bacteria are in a dish and that the population decays continuously by 4% per…

Q: n Example 6 we used data from 1920 and projected to 2050 and found that the expected life span in…

A:

Q: ) The population of the world in 2015 was 9.75 billion people and was growing at a rate of 25% per…

A: Given query is to find the expression for the population after t years.

Q: 2. The rate of decay of radium is proportional to the amount present at any time. If 60 mg of radium…

A: A(t) = amount remaining in t years          = A0ekt, where A0 is the initial amount and k is a…

Q: When time is measured in​ days, the decay constant for a particular radioactive isotope is 0.16.…

A: The equation for radioactive decay is N(t)=N0(e-λt), where N(t) is the new amount of isotope , N0is…

Q: Suppose the Marginal product of labor in the economy is given by MPN= .002(16,000-N), while the…

A: a. The market-clearing wage rate equates the demand and supply of labour Solve for w first Therefore…

Q: The amount of carbon 14 remaining in a sample that originally contained A grams is given by C(t) =…

A: The amount of carbon 14 remaining in a sample that originally contained A grams is given bt…

Q: A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A: Given that , The radioactive material is known to decay at a rate proportional to the amount…

Q: The decay constant for the radioactive element strontium 90 is l = .0244, where time is measured in…

A: Definition used -                            Decay equation -…

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

A:

Q: The population of the world in 2015 was 9.75 billion people and was growing at a rate of 1.25% per…

A: Given: The population of the world in 2015 was 9.75 billion people and was growing at a rate of…

Q: Suppose that I years from now, one investment plan will be generating profit at the rate of P1'(t)=…

A: Given. P1'(t) = 90e0.1t (1000$) P2'(t) = 140e0.07t (1000$)

Q: 1. The number of a certain type of bacteria increases continuously at a rate proportional to the…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: The population of the world in 2015 was 9.75 billion people and was growing at a rate of 1.25% per…

A: Given population of world in 2015  was 9.75 billionlet   for t=0 , we have year 2015

Q: A CERTAIN RADIOACTIVE MATERIAL IS KNOWN TO DECAY AT A RATE PROPORTIONAL TO THE AMOUNT PRESENT. IF…

A: Given that, after one hour, the 10% of the material is decayed. find the expression of the material…

Q: 2. The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at…

A:

Q: A radioactive substance decays at a rate proportional to the amount present ( y(t) = yoe-rt ) If 40%…

A: let the amount of radioactive material be x, and Given that…

Q: Suppose there is one pupil in a class of 60 who was infected by the Influenza B virus. Assuming none…

A: The logistic growth equation here is: P(t)=P0e0.7050t Where, P is the number of students inflected…

Q: 2-Suppose that the half-life of a certain radioactive substance is 2 days and there are 50g…

A: After each half life the amount left will be half the initial amount.

Q: sketch the shifted exponential curves

A: To draw the graphs , first draw x and y axes . Label x for x-axis and y for y-axis . Choose some…

Q: Suppose the following graph represents the number of bacteria in a culture t hours after the start…

A: Answer is mentioned below As per the guidelines we are suppose to answer only first 3 subparts.…

Q: A radioactive element decays according to the function y=yoe^-0.0388t, where t is time in years.  If…

A:

Q: The number N() of people In a community who are exposed to a particular advertisement is governed by…

A:

Q: Suppose that f is an exponential function with percentage decay rate of 2% and that f(0)=3.  Find a…

A:

Q: 4. The population of Lalaland is 600,000 currently and is expected to grow (continuously) at 3.5%…

A: The present population P =600,000 Growth rate r = 3.5 % per year To find population after time t =…

Q: Suppose the half-life of a certain radioactive substance is 20 days and that there are5 grams…

A: Given that, The half-life of a certain radioactive substance is 20 days and that there are 5 grams…

Q: 2. The liquid base of an ice cream has an initial temperature of 210°F before it is placed in a…

A: Given : The liquid base of an ice cream has an initial temperature of    To find at what time will…

Q: Suppose a population can be modeled by P(t) = %3D 200(1.052)*, where P(t) is in thousands and time…

A: Exponential function: - An exponential function in mathematics is one of the form f(x)=ax, where "x"…

Q: The population of the world in 2015 was 9.75 billion people and was growing at a rate of 1.25% per…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: An environmental study of a certain community suggests that t years from now the level of carbon…

A: Let's find.

Q: Suppose that P0 is invested in a savings account where interest is compounded continuously at 3.1%…

A:

Q: Suppose that value of wine respect to time is given following function V = 100e ve. How long will it…

A:

Q: When time is measured in days, the decay constant for a particular radioactive isotope is 0.14.…

A: The decay of an object follows the exponential model  where N(t)I is the amount remaining after time…

Q: It is estimated that t months from now, the population of a certain town will be changing at the…

A:

Q: Suppose that the amount of water pumped from a water well decreases at a continuous rate of 10% per…

A:

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: Element X is a radioactive isotope such that every 28 years, its mass decreases by half. Given that…

A:

Q: It is estimated that t months from now, the population of a certain town will be changing at the…

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Q: 7. If the number of bees in a beehive are modeled by the function 6(t) = te +1 thousand bees, where…

A: The number of bees in a beehive modeled by b(t)=te-t210+1 thousand bees,where t is in months past…

Q: Suppose a population can be modeled by 50 P(t) = where time is in years since 2005. (1+75e--5t)…

A:

Q: Suppose the following graph represents the number of bacteria in a culture t hours after the start…

A:

Q: Find the linearization of ƒ(x) = log3 x at x = 3. Then round its coefficients to two decimal places.

A: Given: f(x)=log3(x) at x=3

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.