The function f(x) = 0.43x + 12.6 can be used to predict diamond production. For this function, x is the number of years after 2000, and f(x) is the value (in billions of dollars) of the year's diamond production. Use this function to predict diamond production in 2013. The diamond production in 2013 is predicted to be S billion. (Type an integer or a decimal.)

Q: 3. Write the equation of the function graphed below. S(x) = 1,

A: The solution of the given problem is given below. Which is easily infered from the graph.

Q: Differentiate the function

A: The given function is shown below:

Q: The growth of a certain bacteria can be modelled by the function, f(x)=250e^ .06t4t , where t is the…

A:

Q: A college has a financial aid formula that applies to applicants whose family's income is below a…

A: Given, f(x)=15000+3000x , where x is the number of siblings and f(x) is the financial aid of the…

Q: The assets​ (in billions of​ dollars) for a financial firm can be approximated by the function…

A: (a)Find the asset in 2010 as follows.

Q: Using U.S. Census Bureau projections from 2020 to 2060, the number of U.S. females under the age of…

A: Answer

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A:

Q: A company estimates the profit for selling a certain commodity by the given function, P(x) = -x2…

A: We will find out the required value.

Q: Differentiate the function. H(x) = (x+x^-1)^3 H'(x) = ?

A:

Q: Order the functions from slowest growing to fastest growing as x -o: 4x², (In x)³, 10*, and e2x

A:

Q: Evaluate the function: Se +) dz 2x e5x 3

A: Let I=∫ e5xe2x7+3e3xdx

Q: he life expectancy at birth of both sexes in a particular year can be described by the function…

A:

Q: Determine where the function is concave upward and where it is concave downward. g(x) = -x² + 9x + 3

A: if second derivative is positive in any interval then f(x) has cancave upward  if second derivative…

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A:

Q: If f(x)=(3m-2)x+6 is a constant function m =?

A: For the constant function the coefficient of x should be zero.

Q: The function C(x)=300x+6,000 represents the cost to produce x number of items. How many items should…

A:

Q: The percentage of gross domestic product​ (GDP) in a state going toward health care from 2007…

A: Given, the modelled function f(x) = 1.3lnx + 14.7, where f(x) is the percentage of gross domestic…

Q: The number of carbon atoms in a fossil is modeled by the function, C(z) = 5100 (0.93), where, x,…

A: SOLUTION-

Q: Differentiate the following function. - 8x f(x) = 4x e

A: Given: fx=4xe-8x for finding derivative of this we will use some formula of differentiation given…

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A: we have been given the function for the number of foreign earnings kept overseas  f(x)=0.232(1.18)x…

Q: The price per barrel (in dollars) for NYMEX-traded crude oil futures can be approximated by the…

A: We have to find the future prices of crude oil for the third quarter of 2017.

Q: The number of ATV-related deaths for people of all ages from 1999 to 2009 can be modeled by the…

A: Given the number of ATV-related deaths for people of all ages from 19999 to 2009 can be modeled by…

Q: Describe the long run behavior of f() = (x – 4)(x + 3)°(x – 1)²: As a - 00, f(x) → ? As x 0, f(x) →…

A:

Q: Is f(x)=x2 - 11 is an example of a non-linear one to one function? Find its Domain and Range if it…

A: f(x) = x2  - 11 It is quadratic function.

Q: Write the function defined by y=f(x),subject to the condition of the value of f(x) is 16 times the…

A: The function defined by y=fx , subject , to the condition of thevalue of fx is 16 times the value…

Q: Starting with the graph of f(x) = 4", write the formula for the function that results from

A: Given data:     The given function is: f(x)=4x.     (a) To shift the curve three units upward, add 3…

Q: The aerobic rating of a person x years old is modelled by the function A(x) = 110(In x-2) for x 2…

A: The maxima and minima can be found for the function by differentiation. For the values of maxima the…

Q: After declining between 1940 and 1980, the number of households has been increasing since 1980. Use…

A:

Q: Find the slope of the graph of the function at the given point. f(x) = V8 - x3, (-2, 4) f'(-2) =

A:

Q: According to an experimental study, the lifespan of a hamster is a function of the time the hamster…

A:

Q: Describe the long run behavior of f(x) - (x + 4)° (æ – 1) (æ + 3) As x → - 00, f(x) →

A: Limit problem....

Q: Find the value of the function f(-x)=?

A:

Q: An earthquake causes a piece of glass to fall off a building from a height of 2,704 ft. If the…

A:

Q: Social psychologists have found that as the discrepancy between the views of a speaker and those of…

A:

Q: Describe the long run behavior of f(x)=-2(4)x+4

A:

Q: Find the relative extreme values of the function f(x) = - - 6x + 5.

A: Calculate f'(x) and f''(x) for f(x)=x33-x22-6x+5 as follows.…

Q: Differentiate the function. 35 G(x) = Vx° - 2x G'(x) =

A: Answer

Q: State the intervals of increasing and decreasing behavior in the function f (x) = x 3 + 2x² – 4x +…

A: The function is fx=x3+2x2-4x+5.   Differentiate the function with respect to x.…

Q: A 12-inch tall sunflower is planted in a garden and the height of the sunflower increases by 8% per…

A: As per our guidelines, we are allowed to answer first three sub-parts only. Thanks A 12-inch tall…

Q: The total yield of corn on Mr. Geller's farm from 1991 to 2010 can be modeled by the function f(x)…

A:

Q: The size of the raccoon population in a park increases  at 4.9%, with a current population at 119,…

A: To find the population of raccoons in 6 years.

Q: The total expenditures on benefits for U.S. veterans (in billions of dollars) can be approximated by…

A:

Q: Where is the function concave upward and concave downward? f(x)=5x^7-28x^5

A: The given function is,

Q: Classify the function as a linear, quadratic, or exponential. f(x) = 8x-7

A:

Q: The length of a rectangle is 3 inches more than the width. Which of the following represents the…

A:

Q: A camera is accidentally dropped from a helicopter at a height of 4,096 ft. If the equation for…

A: Given: To Find:  How many seconds will it take for the camera to hit the ground?

Q: Use a calculator with a yx key or a Λ key to solve: The 1986 explosion at the Chernobyl nuclear…

A: Use a calculator with a yx key or a Λ key to solve: The 1986 explosion at the Chernobyl nuclear…

Q: Which function is equivalent to f(x) = lnx?

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.