For the function f(x)= ab^x, what are the possible values for b if the function is an exponential decay function?

Q: The half-life of Erbium-171 is 7.5 hours. What is the hourly decay rate? Express the result to four…

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Q: Suppose that the number of bacteria in a certain population increases according to a continuous…

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Q: 2) 12

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Q: Radiocarbon dating is a method used by scientists to estimate the age of ancient objects that were…

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Q: What exponential function will pass through both (0,6) and (1,3)?

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Q: The initial population size was 53 hippogriffs. After only 5 year(s), a new count was taken…

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Q: Suppose the population of a certain bacteria in a laboratory sample is 100. If it doubles in…

A: The initial population of the bacteria is, P0=100. After every t=6, the population doubles. So, the…

Q: The half-life of carbon-14 is 5700 years. If an item is discovered with only 17% of the original…

A: Given Half life of carbon-14 =5700 years  i.e. and an item is found with only 17% of the original…

Q: If a piece of charcoal made from wood of a tree shows only 62% of the carbon 14 expected living in…

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

A: To use the given data (exponential model) to determine the initial data

Q: A colony of bacteria is grown under ideal conditions in a laboratory so that the population…

A: Consider the following exponential function: y=abx                                  ...... 1 Here,…

Q: Express in terms of sums and differences of logarithms. 2 In In 3 3x y 2 3 3x y

A: Given:ln23x3ywe need to express this logarithm in terms of sums and differences.We know thatln (ab)…

Q: The Gibbs Free Energy equation is given by the equation: AG = AG° + RTln Q Where: AG = Gibbs Free…

A: We have to find

Q: A certain quantity has an initial value of 8.2 and grows at a rate of 8.5% per year. Give an…

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Q: Show that a radioactive substance which exponentially decays to 20% of its initial value after 8…

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Q: If there are 520 grams of Tadioactive material with a half-life of 12 hours, how TIuch of the…

A: The material is decaying at a constant rate, every 12 hours it is getting halved.  So, it is an…

Q: Suppose that the number of bacteria in a certain population increases according to a continuous…

A: Given:

Q: solve for y: ln(3-y)-ln(y) = 2x + ln(5) without a calculator

A: Given equation is :Moving all the logarithm terms and using the property: ln(a) – ln(b) =…

Q: When a breeding group of animals is introduced into a restricted area such as a wildlife reserve,…

A: The number N of deer present at time (t) is given by Nt=12.350.01+0.54t    .....1

Q: Create a function in VBA of the equation of exponential curve fitting of The Annual Revenues of…

A: it graph based problem  try to substitute each value of x from 0 to 5000 and with obtain values try…

Q: An fruit grower knows from previous experience and careful data analysis that if the fruit on a…

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Q: Suppose a study is completed that finds that the number of cockroaches in Chandler decreases by 18%…

A: Given the number of cockroaches decrease by 18% every 12 years. We first find an equation using the…

Q: Interest is compounded continuously at 5%.  How long until a $5000 investment grows to $12000?

A: Interest is compounded continuously at 5% $5000 investment grows to $12000

Q: Element X is a radioactive isotope such that every 4 years, its mass decreases by half. Given that…

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Q: An investment earns 5.1% yearly interest compounded continuously and is currently growing at the…

A: Solution:Given    i=5.1%     n=1     A=765   To find P=?Formula:A=P(1+i)n

Q: A quantity with an initial value of 8200 grows continuously at a rate of o.55% per decade. What is…

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Q: Suppose that the number of bacteria in a certain population increases according to a continuous…

A: Topic-basic maths

Q: Another quantity has initial value of 400 and decays at a rate of 5.2% per hour. Give an exponential…

A: Let the function be fx=400ax     ....(1) After 1 hour  fx=400-400×5.2100      =400-20.8=379.2

Q: In 1986 the Chernobyl nuclear power plant exploded, and scattered radioactive material over Europe.…

A: NOTE: Refresh your page if you can't see any equations. . let the initial amount of cesium-137 is…

Q: Suppose that the half-life of a substance is 250 years. If there were initially 100 g of the…

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Q: A man with ​$30,000 to invest decides to diversify his investments by placing ​$15,000 in an account…

A: Total Amount = $30,000Amount  compounded continuously =  Pertand   Amount compounded  Anually…

Q: What are the blanks?

A: Note: We are authorized to answer three sub-parts at a time. Since you have asked more than three…

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

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Q: A quantity with an initial value of 590 decays exponentially at a rate such that the quantity cuts…

A: A quantity with an initial value of 590 decays exponentially at a rate such that the quantity cuts…

Q: proportional to A, weight W, and height H. A and W measurement values taken from different people…

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Q: A material has an initial of 15 units. Which equation models the amount of the material y, decaying…

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Q: Aman with $30,000 to invest decides to diversity his investments by placing $15,000 in an account…

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Q: At the beginning of the COVID-19 pandemic, the number of new cases was growing exponentially. There…

A: According to the guidelines issued by the company We are supposed to answer only first three…

Q: A scientist obtained a sample that contained 80 grams of radioactive Barium-122 that decays…

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Q: A freshly inoculated bacterial culture of Streptococcus contains 100 cells. When the culture is…

A: General expression for exponential growth function is given by,                   n(t) = a(1+r)t…

Q: Give 5 example of integrals yielding natural log functions with solution

A: The integral examples are:

Q: When a breeding group of animals is introduced into a restricted area such as a wildlife reserve,…

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Q: 2. How long will it take you to get ten times your money at 2% interest compounded continuously.

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Q: At the beginning of the COVID-19 pandemic, the number of new cases was growing exponentially. There…

A: (a) Let  the exponential function for covid-19 growth is: Pt=a0bt      ......(1) Given a0=684 and b…

Q: A quantity with an initial value of 3600 grows continuously at a rate of 2.5% per decade. What is…

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Q: A sample of bacteria taken from a river has an initial concentrationof 2.5million bacteria per…

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Q: Suppose a particular antibiotic that is introduced to a petri dish containing 3000 newly discovered…

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Q: When a breeding group of animals is introduced into a restricted area such as a wildlife reserve,…

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Q: At the beginning of the COVID-19 pandemic, the number of new cases was growing exponentially. There…

A: Here, the exponential model is given by: P(t)=a×bt...(1) where P(t) is the number of cases after a…

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.