The graphs below show four functions: 10 8. 5, 3. D. 05 15 25 3.5 Which graph best shows the function f(x) = 5(2)T to represent the rate at which a radioactive substance decays? acer A,

Q: se the graph to answer #9 -10 Find the average rate of change over the interval1<x<3 ニ ) 5-1 -14,2)…

A: As per Bartley guidelines we are supposed to answer only one question per post. This post contains…

Q: The number of bacteria in a culture is given by the function n(t) = 930e0.1t where t is measured in…

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Q: The function f(t)=460(0.2)^{t} represents the change in a quantity over t months. What does the…

A: The function ft=4600.2t represents the change in a quantity over 't' months. To determine what does…

Q: (a) If g(t) = Sekt with S and k positive constants, what is the relationship between y1 = g(t) and…

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Q: The number of bacteria in a culture is given by the function n(t)=940e0.45tn(t)=940e0.45t where tt…

A: Given,           The number of bacteria in a culture is given by the function…

Q: The number of bacteria in a culture is given by the function n(t) = 960e0.15t where t is measured in…

A: The rate at which the population of the bacteria is increasing is called relative rate of growth.

Q: The function f(t)=1900(1.4)tf(t)=1900(1.4)t represents the change in a quantity over t hours. What…

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Q: certain motorcycle manufacturer has been building motorcycles for 98l years. Over that period,…

A: Here it is given that, A certain motorcycle manufacturer has been building motorcycles for 98 years.…

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Q: Suppose the formula B = 5√T yields a good approximation to the amount of bacteria, as measured by…

A: To find the instantaneous rate of change of B with respect to T, differentiate B=5T with respect,…

Q: The number of bacteria in a culture is given by the function n(t) = 1000e0.25t where t is measured…

A: The above question is  based on the concept of solving word problems. (a) According to the equation:…

Q: The graph of the function y=f(x) appears in the graph below 3.5 2.5 2 1.5 1 0.5 -2.5 -2 -1.5 -1 -0.5…

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Q: A company that sells woollen hats has seen a generally linear growth in their profits over 2019,…

A: Let m represents the number of months since the beginning of 2019 and P represents the profit. The…

Q: The number of bacteria in a culture is given by the function n(t) = 985e0.25t where t is measured in…

A: The general exponential growth model : where , represents initial population . represents…

Q: Here is a hypothetical but somewhat realistic graph on blood concentration of a medicine…

A: As we draw a horizontal line parallel to time axis at t=12 hours( as mentioned)  Than it meets…

Q: 3. Which of the following functions grow faster than x as x –→∞? Which grow at the same rate as x2?…

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Q: The number of bacteria in a culture is given by the function n(t) = 940e 0.1t where t is measured in…

A: To find out the relative growth rate.

Q: The function f is given by f (x) = e0.07". 1. What is the continuous growth rate of f? 2. By what…

A: I am attaching image so that you understand each and every step.

Q: The number of bacteria in a culture is given by the function n(t) = 985e0.15t where t is measured in…

A:

Q: The graph of the acceleration a(t) of a car measured in ft/s? is shown. Use Simpson's Rule with n =…

A: Values at the points are not perfect, so first look at the table and proceed.

Q: The function y = f(x) is graphed below. What is the average rate of change of the function f (x) on…

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Q: The number of bacteria in a culture is given by the function n(t) = 945e0.4t where t is measured in…

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Q: Which of the following functions grow faster than e" as x→o0? Which grow at the same rate as e"?…

A: (g) Consider the given function as ecosx

Q: The number of bacteria in a culture is given by the function n(t) = 970e0.lt where t is measured in…

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Q: Refer to the graph above and without making any computations find: The average rate of change over…

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Q: The number of bacteria in a culture is given by the function n(t)=920e0.4t◂=▸n⁡(t)=920⁢◂◽˙▸e0.4⁢t…

A: (a) The general equation for exponential growth is given by y=Aert, where A is the initial quantity…

Q: where tt is measured in hours. (a) What is the relative rate of growth of this bacterium…

A: The no of bacteria in a culture is given by the functionn(t)=990e.1tThe rate of growth of this…

Q: b. 1 d. 3 6. Which of these functions does not have an average or instantaneous rate of change (at…

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Q: 4. The graph of y = f(x) is on the right. (a) At which values of x is the rate of change of f the…

A: Question is solved.

Q: The number of bacteria in a culture is given by the function n(t)=945e0.4tn(t)=945e0.4t where tt is…

A: use exponential function  rate of growth = 0.4 = 40%   at initial t = 0 n(0) = 945(1) = 945

Q: 10. Examine the graph below. State: a) An interval upon which the instantaneous rate change would…

A: Instantaneous rate of change is given by the derivative which is the slope of the curve.

Q: 3. Determine the x-value(s) for which the function g(x) = In|x² +3x| has an instantaneous rate of…

A: Given function is Differentiating both sides with respect to x, we get

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A: The temperature in the freezer after t hours of power failure is given by, C=5t0.04t+1−35 To find…

Q: The graph of the acceleration a(t) of a car, measured in ft/s2, is shown below. Use Simpson's rule…

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Q: Assume that the certain number of bacteria R(t) (in millions) present in a certain culture at time t…

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Q: The number of bacteria in a culture is given by the function n(t) = 990e0.2t where t is measured in…

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Q: 8) The rate (in mg carbon/m/h) at which photosynthesis takes place for a species of phytoplankton is…

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Q: 1. Given the following graph, determine: a) The average rate of change between -5sxs-3 b) The…

A: The average rate of change formula is y2-y1x2-x1

Q: 3. Compare the average rate of change on the interval 0 ≤ x ≤ 4 for the two functions whose graphs…

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Q: ז ה2 The size of a fungus is given by the function S(f) =3.61 +1.2cos( ), where S is the size in 24…

A: Given, The size  of the fungus S(t) S(t) = 3.6t +1.2cos2πt24  Where S is the size in mm  and t is…

Q: The function f (t) = 460(0.2)' represents the change in a quantity over t months. What does the…

A: ft=4600.2t compare this equation with a standard form of the exponential function y=abx so here we…

Q: Consider the following function. h(x) = 5 - 2x Find its average rate of change over the interval [1,…

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Q: Because of the popularity and power of smartphones, demand for wireless communication is growing…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The function f(t) = 5300(0.35)30st represents the change in a quantity 365t years. What does the…

A: Introduction: In exponential growth, a quantity increases slowly at first and then rapidly. We use…

Q: Use the position function below to solve the following problem. A projectile is fired vertically…

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Q: If you want to model the percentage figures with a function of the form f(t) = at2 + bt + c would…

A: As shown data in the book we see that the parabola is downward so :

Q: Use the graph of f to evaluate the following: 6+ f(x) 4 3. 2. 4 9. 5. -1 -1 =D4 = The average rate…

A: Consider the graph  of f(x)

Q: 2. Which of the following functions grow faster than e as x–→∞? Which grow at the same rate as e"?…

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Q: The gross national income (GNI) of a certain country (in billions of U.S. dollars) can be…

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Q: The city of San Estaban had a population of 45,000 in 2015 (t=0) and was growing continuously at an…

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