To begin a bacteria study, a petri dish had 3000 bacteria cells. Each hour since, the number of cells has increased by 16%. Let t be the number of hours since the start of the study. Let y be the number of bacteria cells. Write an exponential function showing the relationship between y and t.

Q: 2a) The population of a village was 40 at the beainning of 200. The doğ 2003.' AsSuming an)…

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Q: What is the exponential function?

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A: From the given problem we get an equation is D= 400×e^(-0.02t)

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Q: Find a formula for the exponential function passing through the points (-1,3434) and (2,48)

A: Let the required exponential function is y=abx. Now, as function pass through (-1,3434):…

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Q: Find the equation of the exponential function represented by the table below: 3 1.5 2 0.75 3 0.375 e…

A: The answer is found in step-2

Q: Give an example of the Exponential Behavior?

A: x 1 2 3 4 5 6 7 8 9 y 2 4 8 16 32 64 128 256 512

Q: If ln x = 4.5, write x using the exponential function.

A: Givenlnx=4.5To write x in exponential form

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A: The exponential growth function with initial population A and growth factor k is represented by,

Q: Find the exponential function f (x) = Cb* whose graph is given below. F1, 3)* (1. )

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Q: Write an exponential function in the from y= ab^x that goes through points (0,9) and (3,72)

A: Please see the answer below.

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Q: Find the asymptote of the given exponential function y = 32 + 43x+2 32 4 3. 2

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A: Topic:- exponential decaying function

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Q: Write an equation that defines the exponential functionwith base a> 0

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Q: Determine whether the following equation represents exponential grpwth or exponential decay. -(금)…

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Q: Solve for æ by converting the logarithmic equation to exponential form. logs (æ)

A: log8 (x) = 1/2

Q: Samantha purchased a new car in 2010 for $16,200. The value of the car has been depreciating…

A: A car is purchased for $ 16,200 in 2010. Its value is depreciating exponentially at a constant rate.…

Q: Find the equation of the exponential function represented by the table belov 0.01 1 0.005 2 0.0025 3…

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Q: Find the equation of an exponential function that goes through the following two points (0,8) and…

A: We have to find the equation of an exponential function that goes through the following two points…

Q: Rewrite the logarithm as an exponential. In(z) = y

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Q: Determine the exponential function given the graph. ... B = (-1,4) A A= (1,0.25)

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Q: Akira is folding a piece of paper that is 0.2 millimeters thick in a half. The thickness of the…

A: Given that, the thickness of paper is 0.2 mm and the thickness of the paper doubles with each fold.…

Q: A doctor prescribes 150 milligrams of a therapeutic drug that decays by about 25% each hour. Write…

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Q: Use the exponential growth model,A = A0ekt, to solve: In 1975, the population of Europe was 679…

A: a. Find an exponential growth function that models the data for 1975 through 2015.

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Q: Determine whether the function represents exponential growth, exponential decay or neither. a) y =…

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Q: Assume that a population was 823 when t=0, and 4 years later it became 2490. Assuming the population…

A: Given:       Exponential growth:             p=p0ert At t=0      p=823 At t=4 years    p=2490

Q: Write the formula for an exponential function whose graph passes through the following two points…

A: Given an exponential function whose graph passes through the following two points (1,12) and (3,108)…

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Q: Which table best represents an exponential function

A: Given, To find table that represent exponential function

Q: A doctor prescribes 200 milligrams of a therapeutic drug that decays by about 25% each hour. Write…

A: A doctor prescribes 200 milligrams of a therapeutic drug that decays by about 25% each hour. To…

Q: Estimate the value of y in the exponential equation 500 = 10y.

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

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Q: Find a formula for the exponential function passing through the points (-2, 3 ) and (2,48) 16 y =

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Q: Create your own exponential situation and write a function to represent it. B I

A: To write in exponential function we will take an example below.

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Q: Rewrite the exponential as a logarithm. 6h =20 %3D

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Q: Find an exponential equation for the graph. y =

A: Formula:

Q: Solve for x by converting the logarithmic equation to exponential form.

A: Solution: The objective is to find the value of x