An exponential function f(x) = ab² passes through the points (0, 11) and (3, 297). What are the values of a and 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: The number of bats in a colony is growing exponentially. After 1 year, there were 130 bats. After 4…

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Q: You go to the doctor and he gives you 16 milligrams of radioactive dye which decays exponentially.…

A: for the given amounts and time of radio active dye  time we remain at doctor's office is calculated…

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: 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: What is the exponential function whose graph contains the points (3,5) and (7,1)

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

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Q: The value of an investment is increasing exponentially. In year one the investment was 1500 and this…

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Q: Find the exponential equation in the form y=ab^x whose graph passes through the points ( -3,0.032)…

A: Solution: The objective is to find the exponential equation is of the form y=abx

Q: function passing through the points (-1, 4/3) and (1, 12).

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Q: 5 Find a formula for the exponential function passing through the points (-1,7) and (1,20) y =

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Q: An exponential function is given by the equation y=3x.  Using the points x and x+1, show that the…

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Q: A colony of bacteria is growing exponentially. On day 1, the colony contains 7 bacteria. On day 2,…

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Q: The logistic growth function P(x) = 90 / 1 + 271e-0.122x models the percentage, P(x), of Americans…

A: given: P(x)=901+271e-0.122x where P(x) denotes the percentage of the Americans who are x years old…

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

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Q: 2. At the start of the experiment, there are 400 bacteria. If the bacteria follow an exponential…

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Q: (2:) Find the exponential function f(z) = a² whose graph goes through the point 2, %3D

A: Given,        The exponential function fx=ax whose graph goes through the point 2,14.

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: The number of bats in a colony is growing exponentially. After 2 years, there were 120 bats. After 5…

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Q: The initial size of a bacteria culture that grows exponentially was 10,000. After 1 day, there are…

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Q: The exponential function with a base of 5 has been reflected in the X axis vertically compressed by…

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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: Find a possible formula for the exponential function through the points (-1, 18) and (2,6/9) graphed…

A: SOLUTION-

Q: (-1,) Find a formula for the exponential function passing through the points and (2,80)

A: Given,           The exponential function passing through the points -1,54 and 2,80.

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

A: The exponential function in the form f(t)=abt passing through points (3,1) and (5,4)

Q: You go to the doctor and he gives you 14 milligrams of radioactive dye which decays exponentially.…

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Q: Find the exponential function y = Cekt that passes through the two given points.

A: From the given graph, the exponential function passes through two point (5, 5) and 0,34. Substitute…

Q: A lab culture initially contains 500 bacteria. Two hours later, the number of bacteria decreases to…

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Q: A turkey is pulled from the oven when the internal temperature is 165° Fahrenheit, and is allowed to…

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

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Q: The number of bats in a colony is growing exponentially. After 1 year, there were 70 bats. After 4…

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Q: You go to the doctor and he gives you 13 milligrams of radioactive dye which decays exponentially.…

A: Exponential model is given by y=y0ekt, where y0  is the initial amount of the element, k is the…

Q: A lush forest has 100 foxes and 2 rabbits. The fox population doubles every year and the rabbit…

A: Given data are: Initial number of foxes = 100 Initial number of rabbits = 2 Fox population doubles…

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: Find an exponential function of the form = ab" whose graph passes through the points (2, 1) and (3,…

A: We have to find an exponential function of the form y=abx whose graph passes through the points…

Q: How long will it take for an investment to double in value if it earns 62​% compounded​…

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Q: Let us say that an equation for deaths in relation to the availability of healthcare services is…

A: Given information: An exponential function is given.

Q: A bacteria culture starts with 100 bacteria and grows exponentially, after 1 hour the population is…

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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: 6.05% interest compounded continuously?

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Q: Find a formula for the exponential function passing through the points: (0,3) and (1,6) y%3D

A: the exponential function is in the form of y=abx.................(1) put the first point (0,3) 3=ab0…

Q: 2 Find the exponential equation whose graph passes through the points (-2, 5 and (1,10)

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Q: Find a formula for the exponential function passing through 3 -) and (3, 375). 25 the points (-2,

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Q: A radioactive substance, calculuism, has a half life of 72 years. If the amount after 40 years is 92…

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Q: Due to the rising temperatures in a bay ecosystem, the population mass of a certain species of…

A: We have given x(0)=600 tonsx(11)=2,000 tons population increase at…

Q: At the beginning of an experiment, there are 100 bacteria. If the bacteria follow an exponential…

A: At the beginning of an experiment, there are 100 bacteria. If the bacteria follow an exponential…

Q: Carbon dating presumes that, as long as a plant or animal is alive, the proportion of its carbon…

A: Given; A=Ao e^(-0.0001213)