The president of a major housing construction firm reports that the number of construction jobs (in millions) created is given by N(x)=1.42x where x denotes the number of housing starts. Suppose the number of housing starts in the next t months is expected to be x(t)= 7(t+10)^2 / (t+10)^2+2(t+15)^2 million units/year. a) Find an expression for the number of jobs created per month in the next t months. b)How many jobs will have been created 6 months from now? 12 months from now?

Q: entify each type of equat r, exponential or rational f(x)=40(2)^(x)

A: Given that,  f(x)=40(2)^(x) To determine the function is exponential or rational.

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A: Given,

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A:

Q: 2 / x + x ^ 3) ^ 16 any constant term?

A: We use binomial expansion.

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A:

Q: compute:  (3/5)^(n-2)x(10/9)^1-(n/2)

A: Please see the explanation below

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A:

Q: if f(x)=x2-4  f(square root of x+4)

A:

Q: How close to - 1 do we have to take x so that 1/(x+1)^2>400 ANSWER AS FRACTION

A:

Q: Put the function P=10(3.6)^t in the form P_0e^(kt). When written in this form, you have: k = ? P_0…

A:

Q: (81)^3/

A: given that  (81)^3/4

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A:

Q: 6/x-1/x/x-1

A: Known fact:

Q: Explain what happens to the base function, from #1 and #2 and why?  a(x) = x2 b(x)= -x^2

A: The objective of the question is to understand the transformation of the base function a(x) = x^2…

Q: It is projected that, t years after the start of the 2020, the population of city will be…

A:

Q: show that the difference quotient of f(x)=square root of x can be written as 1/the square root of…

A:

Q: If f(x)=x^2 and g(x) is the graph of f(x) shifted to the right 3 units, stretched vertically by a…

A: When f(x) shifts 3 units right then it becomes f(x-3)

Q: In a given community, the number of thousands of people infected with a strain of flu t weeks after…

A:

Q: 5=/x=

A:

Q: 1/x-3+1/x+3=10/x2 -9

A: The equation is given by,

Q: Explain what happens to the base function that went from   a(x) = x^2    d(x) = (x-2)^2

A: The objective of the question is to understand the transformation of the base function a(x) = x^2…

Q: Given f(x) = 4x^2-3 and g(x) = 6 - 1/2x^2a. (f of g)(4)b. (g of f)(2)c. (f of f)(1)d. (g of g)(0)

A: Composite function:A composite function is a function that depends on another function. This…

Q: The function f(x)=30(1.4)^x gives the number of bacteria in a science experiment, where x is the…

A: Given f(x)=30(1.4)x   x-time in daysfor x=4, f(4)=?To get f(4) subsitute x=4 in f(x)

Q: Graph the function f(x)=1-(x-1)^2 from x=-1 to x =3

A: we have been given the function f(x)=1-(x-1)2  the given function can be written as…

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.