Write an exponential decay function to model each tisuation.

Q: Based on the table below, determine whether the data show an exponential relationship (without…

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Q: (0, 8) 8 N(1, 4) (2, 2) (3, 1) 4- - 2 4

A: topic - functions

Q: Write an exponential function that contains the points (3,3) and (5,27) in the form of y=a*r^x,…

A: General exponential function is

Q: A wooden artifact from an ancient tomb contains 20 percent of the carbon-14 that is present in…

A: Given that half life= H= 5730 years  Initial amount= P Final amount=A= 20% of P= 0.20P Time= t years…

Q: Write an exponential function for the graph that passes through the points (0, -3) and (4, -48).

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Q: The interest on an account increases exponentially. If an initial investment of $1000 earns $120 in…

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Q: Write an exponential function in the form y = ab" that goes through points (0, 3) and (4, 48).…

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Q: Determine whether each function is an example of exponential decay. Then find the y-intercept. 1. y…

A: The given function is y=40.85x. The exponential function is of the form y=abx. So, a=4 and b=0.85…

Q: What is the exponential decay?

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Q: Write an exponential function ab* whose graph passes through (1, 3) and (2, 15).

A: Given exponential function y=abX . It passes through the points (1,3) and (2,15). Substitute these…

Q: In 1947, a cave with beautiful prehistoric wall paintings was discovered in Lascaux, France. Some…

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Q: Write an exponential function y = ab" whose graph passes through (1, 3) and (2, 15). O y = 0.6(5") O…

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Q: The halflife is 1600 years , that is if half of any given amount decomposes in 1600 years, find the…

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Q: Write an exponential equation for the graph shown below

A: We have to find an exponential equation for the given graph.

Q: Write an exponential function in the form y = ab" that goes through points (0, 20) %3D and (3,…

A: NOTE: Refresh your page if you can't see any equations. . the y-intercept is (0,20) so take a=20…

Q: Write an exponential function in the form y = ab" that goes through points (0, 18) and (9, 9216).

A: Solution of the problem as follows

Q: The population of the world was 5.28 billion in 1990 and 6.07 billion in 2000. Find an exponential…

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Q: determine the exponential function passing through (1,2) (2,6) and (3,18)

A: Given An exponential function passing through (1,2)  (2,6)   and   (3,18)  We have to find the…

Q: The count in a bacteria culture was 800 after 15 minutes and 1200 after 40 minutes. Assuming the…

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Q: Use your function to estimate, in gallons, the amount of oil that will remain in the water and on…

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Q: Consider the model for exponential growth or decay given by A = A0 ekt.If k_____ , the function…

A: Exponential growth and decay model: The mathematical model for exponential growth and decay is given…

Q: In 2011, the population of a colony is 19000, and is decreasing exponentially at a rate of 6.3% per…

A: Given  In 2011, Population = 19000 Decreasing at a a rate of 6.3% per year

Q: A population of 2,447 brown bears increase 3% each year.Write an exponential function to model each…

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Q: During the exponential growth phase of Salmonella Enerica bacteria in a certain environment, the…

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Q: Use the exponential decay model for carbon-14, A = A0e-0.000121t, to solve, Skeletons were found at…

A: Given: The exponential decay model for carbon-14: A=A0e-0.000121 t Skeletons were found at a…

Q: Write an exponential function in the form y = ab" that goes through points (0, 4) and (5, 128).

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Q: Write an exponential function whose graph passes through (0, 5) and (2, 45).

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Q: Write an exponential function in the form y ab" that goes through points (0, 7) and (5, 1701).

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Q: Write an exponential function in the form y ab" that goes through points (0, 7) and (2 567)

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Q: Write an exponential decay function to model each situation. Compare the average rates of change…

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Q: Write an exponential function Y ab" whose graph passes through (2, 18) and (3, 54).

A: Solution: The objective is to find the exponential function

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

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Q: Write an exponential function in the form y = ab" that goes through points (0, 17) and (2, 612).

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Q: Write an exponential function in the form y = ab“ that goes through points (0, 7) and (2, 63).

A: Explanation of the answer is as follows

Q: Write an exponential function y = ab for a graph that passes through (2, 1) and (3, 12). %3D…

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Q: Does the graph represent exponential growth or decay? O Growth O Decay Z Calculator

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Q: Which graph shows exponential decay? 3. YA A B to YA D

A: An exponential function is a non linear function of the form y=abx where a≠0,b≠1,b>0 The function…

Q: The rabbit population of Springfield, Ohio was 144,000 in 2016. It is expected to decrease by 7.2%…

A: Given: Initial population is a=144000 Rate of decrease is r=7.2% Time estimated is 2036-2016=20…

Q: The exponential growth model A= 50e0.07t describes the population of a city in the Philippines in…

A: Given exponential growth model is A=50e0.07t describe the population of a city in the Philippines in…

Q: write an exponential function y=ab^x for a graph that passes through (2,1) and (3,4)

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Q: Find the exponential function that passes through the points (−10/13 , 6) and (14 ,1/10). Round…

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Q: The population of the world was 5.28 billion in 1990 and 6.07 billion in 2000. Find an exponential…

A: Let the model be Pt=P0.ekt→(1) Consider t=0 as 1990 P0 is the population when t=0, Therefore,…

Q: Graph the following exponential function. Show work in how you find the y intercept, talk about the…

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Q: Write an exponential function y = ab² whose graph passes through (3, 108) and (5, 972).

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Q: Find the exponential function y Cekt that passes through the points (0, 4) and (5,). %3D

A: Given that, the exponential function y=C ekt passes through the points 0, 4 and 5, 12. Therefore, it…

Q: About 10.8 million gallons of oil were spilled into Alaska's Prince William Sound from the 1989…

A: Note: We will only answer up to three sub-parts as the exact one is not specified. Please resubmit…

Q: Write an exponential function in the form y = abº that goes through points (0, 12) and (3, 6144).

A: Soln:-    y = abn → 1 Passing through the point 0 , 12 & 3,6144→      We can put both point in…

Q: Write an exponential decay function to model each situation: Initial value: 100 Decay factor: 0.95…

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

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Q: The count in a bacteria culture was 900 after 10 minutes and 1500 after 30 minutes. Assuming the…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.