An exponential function f(x) : ab" passes through the points (0, 12000) and (3, 4116). What are the values of a and b? a = b =

Q: How do I write the exponential function in the form f(t) = ab^t passing through points (-4, 12) and…

A: Please refer the attached image for complete solution. THANK YOU.

Q: Consider the exponential functions y=0.5*x , y=2*x , y=5*x . What value of x results in the same…

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Q: At the beginning of an environmental study, a forest covered an area of 1500 km. Since then, this…

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Q: An exponential function in the form y = contains the points (0, 64) and (3, 1). What is the 64(b)*…

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Q: 3. Since 1960, the growth in world population (in millions) closely fits the exponential function…

A: Given that, since 1960 the growth in world population (in millions) closely fits by the given…

Q: (*) for a exponential function with a base of 4 that passes through the point 0 ns, different from…

A: We have to find the following conditions according to the given information

Q: An initial population of 745 quail increases at an annual rate of 16%. Write an exponential function…

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Q: The half-life of a substance is 1200 years. If the initial amount of the substance is 300 grams,…

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Q: How do I write the exponential function in the form f(t) = ab^t for the points (0, 2000) and (2,20)?

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Q: A bacteria culture starts with 1,500 bacteria and doubles in size every 4 hours. Find an exponential…

A: Given:- A bacteria culture starts with 1,500 bacteria and doubles in size every 4 hours. To Find An…

Q: An investment offers 5% interest compounded continuously. What is the amount of interest earned in…

A: P be the principal, r be the rate of interest, A be the amount after time t years

Q: An exponential function f(x) = ab² passes through the points (0, 11) and (3, 297). What are the…

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Q: When an antibiotic is introduced intoa culture of 50,000 bacteria, the number of bacteria…

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Q: An overweight man makes lifestyle changes in order to lose weight. His starting weight is 260 pounds…

A: Given from the question:   Starting weight = 260 pounds   Target weight = 200 pounds   The…

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

A: After 3 hours, there are 100 bacteria, and after 5 hours, there are 400 bacteria. Let the…

Q: Give five examples of exponential functions in the form f(x) = b* and f(x) = a · b° + h with its…

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Q: An exponential function f(x)=ab^x passes through the points (0, 7) and (3, 448). What are the values…

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Q: Acell population grows exponentially beginning with one cell. Which takes longer: increasing from…

A: Note that increasing from one to two cells means the population should be doubled. On the other hand…

Q: population of a city is 85,000 and increases by 2.4% each year. Which exponential function models…

A: The given question is taken from the compound interest in which we have to find the function in term…

Q: An exponential function f(x)=abxf(x)=abx passes through the points (0, 8000) and (2, 3920). What are…

A: An exponential function fx=a.bx passes through the points 0,8000 and 2,3920

Q: A) The population of beavers in a valley doubled between the years 2000 and 2015. Assuming that the…

A: A) The exponential growth function is as follows. Nt=N0ert Let t=0 represents the year 2000 and t=15…

Q: An exponential function f(x) = ab" passes through the points (0, 9000) and (2, 90). What are the…

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Q: How do I write the exponential function in the form f(t) = ab^t for the points (-1, 3/2) and (3,…

A: To write the exponential function in the form f(t) = abt

Q: 5 Find the exponential equation whose graph passes through the points (-3, 27) and (3,135) y =

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Q: Assume a population of fish grows exponentially. A pond is stocked initially with 500 fish. After 6…

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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: Find a formula for the exponential function passing through the points  (0,4) and (2,16) what are…

A: Given  A exponential function passing through the points  (0,4) and (2,16)

Q: In 2000, the population of Israel was approximately 6.04 million and by 2050 it is projected to grow…

A: The explicit form of the exponential growth model is defined as At=A0ekt. Where, A(t) denotes the…

Q: A sample of 650 milligrams of a radioactive substance was used to start a study. Since then, the…

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Q: How do I write the exponential function in the form f(t) = ab^t passing through points (-1, 5/3) and…

A: Exponential function

Q: Create two exponential functions that have a horizontal asymptote at y=3 and go through the point…

A: The solution is given below

Q: Find an exponential function with horizontal asymptote y = 4 whose graph contains the points (0,5)…

A: Given, horizontal asymptote y=4 (0,5) and (1,13)

Q: The population of a pigeons in a city is 6200 and is growing exponentially at 17% per year. Write a…

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Q: Match the exponential function with its graph. I II 2- III IV 2- (a) f(x) = -2x ---Select-- + (b)…

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Q: Find an exponential function with horizontal asymptote y = - 3 whose graph contains the points (0, -…

A: Asymptote of the graph is y=-3 and the points are (0, - 2) and ( -2, 1).

Q: 3 Find the exponential equation whose graph passes through the points (-3,-) and (3,24) y =

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

A: Exponential functiony= a bx a is the initial population

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

A: Let B(t) is the number of bacteria after time t, and B0 is the number of bacteria at time t is 0.The…

Q: How do I write the exponential function in the form f(t) = ab^t for the points (0 ,3) and (2, 75)?

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Q: A bacteria sample (in millions of bacteria) after X days is given by the exponential function…

A: After 10 days, the number of bacteria will be P(10)=3(1.25)10 = 27.9397 millions

Q: The average gain in life expectancy at birth in the US has remained almost constant for 150 years,…

A: Given:The average gain in life expectancy is equals to 3 months per year. Converting it in years so…

Q: An investment offers 5% interest compounded continuously. What is the amount of interest earned in 1…

A: Solved the give problem using concept of formula of Compound Interest ( C.I. )

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

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Q: You invest $100 in the bank for 7 years at a 9.34% interest compound continuously. How much interest…

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Q: The population of a colony of rabbits grows exponentially. The colony begins with 10 rabbits; 5…

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Q: 3 Find a formula for the exponential function passing through the points (-2,-) and (1,6)

A: The exponential function is given by f(x)=abx Find values of a,b using the following conditions:…

Q: An exponential function f(x)=ab^x passes through the points (0, 2) and (3, 128). What are the values…

A: Given: An exponential function f(x)=ab^x passes through the points (0, 2) and (3, 128).

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

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

A: Growth of the bacteria can be obtained by the formula,

Q: The half-life of carbon-14, 14C, is approximately 5,730 years. A bone fragment is estimated to have…

A: Let the exponential decay equation be A=A0ekt, where A is the amount (in mg) of carbon-14 remaining…