9. A function modeling the number of AIDS cases reported t years after 1990 in a certain location is given by cko -0.1t C(t) = 456 + 1234te According to the model, in what year the number of AIDS cases reported started todecrease?

Q: 2. A container that has 5 L of water with 1 kg salt dissolved is to be filled by pure water at a…

A:

Q: 8) Sketch the function with the zeros (x + 3) (x=1) (x= 2)and: the y-intercept of -6. After doing…

A: To sketch the graph of the given function.

Q: The table shows data for sulfur dioxide emissions from electricity generation (in millions of short…

A: In the question we have to find the differential equation and the value at x=15.

Q: A water ride with heights above and below the starting point can be modeled by the function y =…

A:

Q: Starting from the point (1, 2), at which direction does the above function f decrease fastest?

A:

Q: suppose that 50,000 bacteria are in a dish and that the population decays continuously by 4% per…

A: suppose that 50,000 bacteria are in a dish and that the population decays continuously by 4% per…

Q: Suppose that a room containing 1500 cubic feet of air is originally free of carbon monoxide.…

A:

Q: n Example 6 we used data from 1920 and projected to 2050 and found that the expected life span in…

A:

Q: Suppose that the total sales of bicycles and bicycle-related equipment was P 240 billion in 2013.…

A:

Q: 1 A baseball Card inifialy worth $36 cuppreciates each year at a rate of 2% each year, Write an…

A:

Q: Suppose that 50,000 bacteria are in a dish and that the population grows continuously by 4% each…

A:

Q: The economic dependency ratio is defined as the number of persons in the total population who are…

A: We need to find the value of x for which R(x) has minimum. Here, R(x)=-0.0002x3+0.052x2-4.06x+192.…

Q: The worst ecological disaster in U.S. history began on April 20, 2010, and was caused by an…

A: bn=2.520n & rn=441,000n a). an=bn-rn=2.520n-441,000n=-4,40,997.48n

Q: Consider the following situation. A tank contains 2500 L of pure water, with 15 kg of salt dissolved…

A: Let consider that function s(t) is kgs of salt in the tank at time t minutesAs we know thats'(t)=The…

Q: The magazine Scientific American released a study of data analysis on how quickly children are able…

A: The function P(t) represents the percentage of children who can speak in at least single words by…

Q: An article† in The New York Times states, "The number of gas stations [in a city] grows only in…

A: Part (a):To compare the number of gas station.

Q: A long distance company charges a monthly fee of $4.95 and $0.02 per minute. Let f(x) be the monthly…

A: Solution:

Q: 9. Determine the coordinates of a point(s) that do not change between the original and the…

A: Given that: f(x)=-x2+5

Q: The economic dependency ratio is defined as the number of persons in the total population who are…

A: The economic ratio is modeled by the function. Rx=-0.0002x3+0.052x2-4.06x+192

Q: Element X is a radioactive isotope such that its mass decreases by 57% every hour. If an experiment…

A:

Q: 18. Suppose that a company produces and sells bicycles and that the start-up cost is $3000 and $75…

A:

Q: /hich of the following best describes the end behavior of a function with an odd degree and negative…

A: We have, Odd degree with negative leading coefficient.

Q: According to the Social Security Advisory Board, the number of workers per beneficiary of the Social…

A: Calculation:a)From the given, it is observed that the initial value is 3.3 and the constant…

Q: The economic dependency ratio is defined as the number of persons in the total population who are…

A: To find the year in which the economic dependency ratio reached its minimum

Q: An ichthyologist has discovered that the weight of a certain species of fish is a power function of…

A:

Q: Suppose that a room containing 800 cubic feet of air is originally free of carbon monoxide. Beg t =…

A:

Q: Based on data for the years 1910-2007, the expected life span of people in Country A can be…

A:

Q: 11. Show that if positive functions f(x) and g(x) grow at the same rate as x→∞, then f = 0(g) and g…

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Q: An articlet in The New York Times states, "The number of gas stations [in a city] grows only in…

A: We will use the given relation between population and gas station.

Q: The half-life of radium-226 is 1590 years. (a) If a sample has a mass of 150 mg, find a function…

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Q: It has been found that a worker new to the operation of a certain task on the assembly line will…

A:

Q: The figure shows the percentage of the U.S. popul ati on, f(x), made up of teachers as a function of…

A: Given graph is,

Q: A certain radioactive substance has a half-life of 22 days. As a sample of the radioactive substance…

A:

Q: #2: Another city showed the exact opposite, its population was increasing by 15%. If in 1980 it also…

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: A sample of 600g of radioactive lead-210 decays to polonium-210 according to the function AT) =…

A: Topic:- exponential decaying function

Q: 6. a. Use an x- interval of 0.0001 to determine the instantaneous range of change of the function…

A: Consider the given function. fx=x4+8x3+19x2+12x The objective of the problem is to find the…

Q: An insurance company found the relationship between driver age (x, in years) and car insurance…

A: Given an insurance company found the relationship between driver age (x, in years) and car insurance…

Q: A mouse wheel is 16 cm im diameter and the base of the wheel is 2 cm off i ground. If the hamster…

A:

Q: An article† in The New York Times states, "The number of gas stations [in a city] grows only in…

A: Let N be the population in millions and G be the number of gas stations in a city. Given that the…

Q: A researcher believes that if x thousand individuals among a susceptible population are inoculated…

A: Given: I(x)=aRx-b R=0.9

Q: 8. The value of an automobile decreases each year and is described by the equation Vt) = 24…

A:

Q: An article† in The New York Times states, "The number of gas stations [in a city] grows only in…

A: It is give that population is N and G be the number of gas stations in a city related by G=cN0.77.…

Q: On the basis of data for the years 1911 through 1994, the expected life span of people in a country…

A: f(x) = 12.469 lnx +17.128x is the number of years from 1906 to person's birth year.expexted life…

Q: The country of Benin in West Africa has a population of 9.05 million people. The population is…

A: We use growth function.

Q: 2-Find the instantaneous rare of change for the above function at X = 3

A: 2. Let fx=1x2, x0=3

Q: 7. Suppose that the profit from the production and sale of x units of a product is given by p(x) =…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: The consumer demand curve for Professor Stefan Schwarzenegger's dumbbells is given by a (93-2p).…

A:

Q: The average annual pay for truckers P in a certain country​ (in thousands of​ dollars) can be…

A:

Q: The crime rate of a certain city is decreasing by exactly 3%each year. Let t=0 correspond to the…

A: The function that represents the continuous decrease in number of crimes is given by:

Q: 1. Write an equation that expresses the fact that a function f is continuous at the number 4.

A: