Find an approximate equation y = ab^ of the exponential curve that contains the given pair of points. (0,5.2) and (2,77.1) ... y = (Use integers or decimals for any numbers in the expression. Round to two decimal places as needed.)

Q: Suppose 15 blackberry plants started growing in a yard. Absent constraint, the blackberry plants…

A: Please refer the attached image for complete solution.

Q: Write an exponential regression equation for this set of data, rounding all coefficients to the…

A: we know the exponential equation: y=aebx Now, taking logarithm on both sides, we get ;…

Q: The radioactive isotope of lead Pb-209, decays at a rate proportional to the amount present at any…

A: The differential equation for decay is dAdt=kA dAA=k·dt ⇒∫dAA=∫k·dt⇒lnA=kt+c1A=ekt+c1A=ektec1A=Cekt…

Q: The number of insects in a colony is known to multiply at a rate proportional to the number of…

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Q: What are the  Exponential Curves?

A: Exponential curves is a function in which the variable appeares in theexponent and it grows…

Q: The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain…

A: Half life = 1590 years Inititial amount of sample (a0) = 300 mg Final amount of sample (af) = ?

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A:

Q: The median selling price of an existing home in the United States increasing continuously over the…

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Q: The accompanying table shows the number of bacteria present in a certain culture over a 4 hour…

A: Given The table show the number of bacteria present in a certain culture over a 4 hour period where…

Q: Tangent

A: Tangent in geometry   A line that touches the circle at a single point is known as a tangent to a…

Q: Use the model to predict instantaneous rate of change of the percentage of female high school…

A: We have to predict instantaneous rate.

Q: x+1

A: By using the formula you can solve the given problem as follows :

Q: A quantity with an initial value of 220 grows continuously at a rate of 9.5% per hour. What is the…

A: Consider the provided question, Given, initial value = 220  Rate, r = 9.5% = 0.095 per hour t = 225…

Q: Find the equation of the logistic function with a maximum value of 1000, an initial value of 500,…

A: Topic:- function

Q: The median selling price of an existing home in the US increased continuously over the period…

A: Given that             The median selling price of an existing home in the US increased continuously…

Q: One'sintelligencequotient,or IQ, variesdirectlyasa person's mental age and inversely as that…

A: Given,

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A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: The same study that produced the seat belt safety data of Table 7.1 also took into account the age…

A: Given: The children wearing no seat belts is shown below as,Here X1 = 1 if the child did not survive…

Q: бх + 5 -, is 10х + 8 The derivative of y =

A:

Q: Assume that a population of E. coli bacteria doubles every 20 minutes. Construct a table that shows…

A: Given that, The population of E. coli bacteria doubles every 20 minutes. Initially Population start…

Q: If inflation grows continuously at a rate of 6% per year, how long will it take for $8 to lose half…

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Q: What is the derivative of the exponential function ex? How does the domain of the derivative compare…

A: To determine the derivative of the function ex and domain of the derivative.

Q: A quantity with an initial value of 850 grows continuously at a rate of 90% per decade. What is the…

A: Given: A quantity with an initial value of 850 grows continuously at a rate of 90% per decade. To…

Q: The average profit a local store owner earns on a given day is \$120$120 and is growing…

A: given that average profit per day is $120 rate of growing is 76% per year we have to find profit…

Q: FIND THE THIRD DERIVATIVE OF A FUNCTION

A: Given, The function  fx = 11x2+9x-723x-5x2 We have to find the third derivative of the function.

Q: (a) find the value of A and a, correct to 3 decimal places, (b) predict the percentage of…

A: Topic:- exponential function

Q: A person places Php100,000 in a savings account which pays 3 percent interest per annum, compounded…

A: 2. Given that, A person places Php 100,000 in a savings account which pays 3 percent interest per…

Q: An art piece is predicted to increase in value by 50% in the first year and 25% each year from the…

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Q: An fruit grower knows from previous experience and careful data analysis that if the fruit on a…

A: The average pounds of fruits is 130 pounds, and the selling price is $0.6 per pound. The yield per…

Q: The radioactive element Carbon-14 has a half-life of approximately 5730 years. A fossil is measure…

A: Given : Half life of carbon- 14 is 5730 years

Q: tangent

A:

Q: The population of Glenbrook is 375,000and is increasing at the rate of 2.25% per year. Predict when…

A: To find: When the population is 1 million. Given: Initial population is 375000 and rate of…

Q: The number of live births recorded and the number of infants died in a town during a given period…

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Q: What is the exponentially smoothed value for period 4, using a smoothing constant of 0.4?

A: Given that  Time series data  Observation  Value 1 10 2 15 3 18 4 12 5 20 6 21 7 21…

Q: The accompanying table shows the number of bacteria present in a certain culture over a 4 hour…

A: From given data, X Y X*Y X*X 0 90 0 0 1 103 103 1 2 109 218 4 3 129 387 9 4 141 564 16…

Q: A quantity with an initial value of 870 decays continously at a rate of 0.75% per day. What is the…

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Q: A biology experiment begins with 5 cells. In four days, the experiment grows to 164 cells. Assuming…

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Q: Find the 4th derivative

A: Given that: The equation y =( x 3 - 1 ) ln x .

Q: An fruit grower knows from previous experience and careful data analysis that if the fruit on a…

A: To find: How many weeks should the grower wait to maximise the sales revenue per tree.  Find the…

Q: Suppose that real income per capita in New Jersey increases by 1% in the next year. Use the results…

A: Introduction: We need to predict the amount of change in the dependent variable, the number of…

Q: Calculate the derivative. y=3/log5x

A: Given function is

Q: If a city's population is 1.3 million now and will grow at a continuous rate of 4.5% in the future,…

A: from 2020 to 2030 there is 10 year In each year population is increasing by 4.5 %

Q: Write the derivative of 7 log8(x)

A: We have to find the derivative of 7 log8(x).

Q: A professor surveyed students on their study habits, where "x" is the number of hours studying and…

A: The logarithmic regression equation is used to predict the y-values that lie inside (interpolate) or…

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Q: what is the Derivative of Exponential Functions?

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Q: low fast is

A:

Q: If $2000 is invested at 7.2% compounded continuously, graph the amount in the account as a function…

A: