A bacteria culture starts with 2000 bacteria and the population triples after 2 hours. Find an expression for the number y(1) of bacteria after t hours. y(t) =

Q: 3. Nevada's population in 1990 was 14.2 million and can be modeled by y = 14.2e0.0079t where t is…

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Q: A body cools in temperature 20°C. Ten minutes after the body began to cool, its temperature was…

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Q: A population of bacteria is initially 8000. After three hours the population is 4000. If this rate…

A: Given,          A population of bacteria is initially 8000. afters three hours the population is…

Q: he amount of a certain radioactive substance decreases by 15% every hour. If a sample starts with…

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Q: The cost of certain piece of machinery is $ 700 and its value is depreciating with time according to…

A: We have to find the value after 6 years.

Q: . The daily amount of smog produced by cars coming into a city is given by y = 2 + 0.01x3/2, where y…

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Q: a). A drug in the blood stream decays by according to the equation y'=ky, where y is the…

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Q: Find the domain of y = log(2 – lx). The domain is:

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Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of…

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Q: Find the function of the form y = log,(x) whose graph is given. y =

A: Given,           The graph of the fuction is shown below :

Q: 21. Eliminate the arbitrary constant in the equation

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Q: From the beginning of the year 2000, the annual world demand for oil has increased. To account for…

A: Topic:- exponential growth function

Q: A culture of bacteria initially contains 153 cells and grows at a rate proportional to its size.…

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Q: The rate of growth of sales (sales per day) for a particular company is predicted to be 35e0.012,…

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Q: How do I write the exponential function in the form f(t) = ab^t for the points (-1, 3/2) and (3,…

A: To write the exponential function in the form f(t) = abt

Q: #2. Researchers have descried the maximum growth rate of a phytoplankton as a function of the cell…

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Q: Find the domain of y = log(2 – 4x). The domain is:

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Q: Sales of fine-cut cigarettes (in millions) in a country are given by y = - 14.898x2 + 356.467x +…

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Q: Find the domain of y = log(8 – 6z). The domain is:

A: we know that log a is defined when a>0

Q: The rate of growth of sales (sales per day) for a particular company is predicted to be 25e0.00r,…

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Q: find the formula for an exponential funtion that passes through the two points given  (x,y)=…

A: Given  (x,y)= (0,6600) and (x,y)= (2,66)

Q: The sales decay for a product is given by S = 50,000 e -0.8x, where S is the monthly sales and x is…

A: Consider the given question,(1)The sales 4 months after the end of the campaign is find as,

Q: Find the domain of function ƒ(x) = ln(x2 - 9)

A: The given function is fx=lnx2-9. It is known that logarithmic functions are defined only for…

Q: A radioactive substance decays at a rate proportional to the amount present. If the initial mass of…

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Q: At time t years, an industry consumes fuel at the rate of (3t + 27)/³ million barrels per year. (i)…

A: Given rate of consumption of fuel = (3t + 27)^1/3 million barrels per year. (i) In the next 10…

Q: An epidemic is spreading at the rate of 18e0.2t new cases per day, where t is the number of days…

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Q: Live the exact t value of the ellowen se.

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Q: At time t years an industry consumes fuel at the rate of /(2t + 9) million barrels per year. If the…

A: Linear equation are those equation in which highest power of the variable is 1. The linear equation…

Q: a). A drug in the blood stream decays by according to the equation y'=ky, where y is the…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: The population of the United States is predicted to be P(t) = 310e0.0073t million, where t is the…

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Q: An investment pays out 800,000 Mexican pesos per year, continuously for 5 years. Find the PV of the…

A: Given, AmountA=800,000t=5 years

Q: According to the U.S. Census Bureau, the population of the United States in 2008 was 304 million…

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Q: B. Use the exponential shift to find the general solution. 2. (D+ 1)*y = 0

A: Given (D+1)5y=0

Q: A radio active element (x) has a half-life of 38 hours. Initially, X = X0 %3D . Determine the amount…

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Q: The resident population of the United States in 2015 was 320 million people and was growing at a…

A: a. Given model is Pt=3201.007t-2015. Substitute P(t) = 400,…

Q: Find the domain of y = log(1 – 6x). The domain is:

A: Please refer the attached image for complete solution. THANK YOU.

Q: Statistics complied by the local department of corrections indicate that x years from now the number…

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Q: York Region's population, P, is projected to grow until 2031 based on a growth rate of 2.9 % per…

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Q: n of 100 bacteria has a half-life of 28 days. How many bacteria, y, will there be in x days?

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Q: direct

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Q: At time t years, an industry consumes fuel at the rate of (3t + 27)/3 million barrels per year. (i)…

A: Given that at time t years, an industry consumes fuel at the rate of 3t+2713 million barrels per…

Q: If the Richter scale reading of one quake is t units larger than that of a second quake, how do the…

A: Given  Richter scale reading  of one quake is t units larger than that of second quake.

Q: The doubling period of a bacterial population is 1010 minutes. At time t=90t=90 minutes, the…

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Q: The population of certain species of bats doubles every five hours, initially there are 40 Båts (a)…

A: General formula for exponential growth is given by P(t)=P0ert. Since initially there are 40 bats…

Q: Determine whether the equation represents continuous growth, continuous decay, or neither. Explain.…

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Q: In an autocatalytic chemical reaction, the product form is a catalyst for the reaction. If Qo is the…

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Q: the value of an investment is modelled by A(t)=5000e0.09t , where A is the amount the investment in…

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Q: Use the model below to estimate the average annual growth rate of a certain country's population for…

A: y=-0.0000082x3+0.00232x2-0.168x+8.334, where x is the number of years after 1900.

Q: The half-life of bismuth-210, 210Bi, is 5 days.(a) If a sample has a mass of 200 mg, find the amount…

A: a) Given  N15 (amount remaining after 15 days) = 200(0.5)^15/5= 200(0.5)^3 = 200 × 0.125 = 25 mg