ddaeeric

2021-02-20

For the following exercises, use this scenario: The population of a city has risen and fallen over a 20-year interval. Its population maybe modeled by the following function: $y=12.000+8.000\mathrm{sin}(0.628x)$ , where the domain is the years since 1980 and the range is the population of the city.

Graph the function on the domain of [0,40]

Graph the function on the domain of [0,40]

Velsenw

Skilled2021-02-21Added 91 answers

Given:

The population of a city risen and fallen over a 20-year interval. Its populations may be modeled by the function$y=12000+8000\mathrm{sin}(0.628x)$ , where domain is the year since 1980 and the range is the population of the city.

Calculation:

The given function is$y=12000+8000\mathrm{sin}(0.628x).$

Comparing, the function with the standard form of the sinusoidal function$y=A\mathrm{sin}(Bx-C)+D$

$A=8000,B=0.628,C=0,D=12000$

The amplitude is$A=8000$

The periodis given by

$\frac{2\pi}{B}$

$\frac{2\pi}{0.628}=\frac{3.14}{0.314}$

$=10$

And the phase shift is$C=0$

Using these properties, the graph of the function in the domain [0,40] has been shown below

The population of a city risen and fallen over a 20-year interval. Its populations may be modeled by the function

Calculation:

The given function is

Comparing, the function with the standard form of the sinusoidal function

The amplitude is

The periodis given by

And the phase shift is

Using these properties, the graph of the function in the domain [0,40] has been shown below

The product of the ages, in years, of three (3) teenagers os 4590. None of the have the sane age. What are the ages of the teenagers???

Use the row of numbers shown below to generate 12 random numbers between 01 and 99

78038 18022 84755 23146 12720 70910 49732 79606

Starting at the beginning of the row, what are the first 12 numbers between 01 and 99 in the sample?How many different 10 letter words (real or imaginary) can be formed from the following letters

H,T,G,B,X,X,T,L,N,J.Is every straight line the graph of a function?

For the 1s orbital of the Hydrogen atom, the radial wave function is given as: $R(r)=\frac{1}{\sqrt{\pi}}(\frac{1}{{a}_{O}}{)}^{\frac{3}{2}}{e}^{\frac{-r}{{a}_{O}}}$ (Where ${a}_{O}=0.529$ ∘A)

The ratio of radial probability density of finding an electron at $r={a}_{O}$ to the radial probability density of finding an electron at the nucleus is given as ($x.{e}^{-y}$). Calculate the value of (x+y).Find the sets $A$ and $B$ if $\frac{A}{B}=\left(1,5,7,8\right),\frac{B}{A}=\left(2,10\right)$ and $A\cap B=\left(3,6,9\right)$. Are they unique?

What are the characteristics of a good hypothesis?

If x is 60% of y, find $\frac{x}{y-x}$.

A)$\frac{1}{2}$

B)$\frac{3}{2}$

C)$\frac{7}{2}$

D)$\frac{5}{2}$The numbers of significant figures in $9.1\times {10}^{-31}kg$ are:

A)Two

B)Three

C)Ten

D)Thirty oneWhat is positive acceleration?

Is power scalar or vector?

What is the five-step process for hypothesis testing?

How to calculate Type 1 error and Type 2 error probabilities?

How long will it take to drive 450 km if you are driving at a speed of 50 km per hour?

1) 9 Hours

2) 3.5 Hours

3) 6 Hours

4) 12.5 HoursWhat is the square root of 106?