The table below gives values of the function f and g and different values of x. Whatis f(g (1))?

x | 1 | 2 | 3 |

f(x) | 3 | -6 | 2 |

g(x) | 2 | 7 | 1 |

2022-01-24

The table below gives values of the function f and g and different values of x. Whatis f(g (1))?

x | 1 | 2 | 3 |

f(x) | 3 | -6 | 2 |

g(x) | 2 | 7 | 1 |

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asked 2021-02-25

The population of California was 29.76 million in 1990 and 33.87 million in 2000. Assume that the population grows exponentially.

(a) Find a function that models the population t years after 1990.

(b) Find the time required for the population to double.

(c) Use the function from part (a) to predict the population of California in the year 2010. Look up California’s actual population in 2010, and compare.

(a) Find a function that models the population t years after 1990.

(b) Find the time required for the population to double.

(c) Use the function from part (a) to predict the population of California in the year 2010. Look up California’s actual population in 2010, and compare.

asked 2020-11-03

The exponential models describe the population of the indicated country, A, in millions, t years after 2010.Which country has the greatest growth rate? By what percentage is the population of that country increasing each year?

India,

Iraq,

Japan,

Russia,

asked 2021-09-25

The exponential models describe the population of the indicated country. A, in millions, t years after 2006. Which country has the greates growth rate? By what percentage is the population of that country increasing each year?

Country1:$A=129.3{e}^{0.001t}$

Country 2:$A=1096.9{e}^{0.011t}$

Country 3:$A=28.7{e}^{0.028t}$

Country 3:$A=147.9{e}^{-0.004t}$

Country1:

Country 2:

Country 3:

Country 3:

asked 2021-02-13

Let V denote rainfall volume and W denote runoff volume (both in mm). According to the article “Runoff Quality Analysis of Urban Catchments with Analytical Probability Models” (J. of Water Resource Planning and Management, 2006: 4–14), the runoff volume will be 0 if $[V\text{}\le \text{}{v}_{d}\text{}]$ and will $[k\text{}(V\text{}-\text{}{v}_{d}){\textstyle \phantom{\rule{1em}{0ex}}}\text{if}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}V\text{}\text{}{v}_{d}.\text{}Here\text{}{v}_{d}]$ is the volume of depression storage (a constant) and k (also a constant) is the runoff coefficient. The cited article proposes an exponential distribution with parameter $[\lambda \text{}f{\textstyle \phantom{\rule{1em}{0ex}}}\text{or}{\textstyle \phantom{\rule{1em}{0ex}}}\text{}V.]$

a. Obtain an expression for the cdf of W.

[Note: W is neither purely continuous nor purely discrete, instead it has a “mixed” distribution with a discrete component at 0 and is continuous for values$w>0$ .]

b. What is the pdf of W for$w>0$ ? Use this to obtain an expression for the expected value of runoff volume.

a. Obtain an expression for the cdf of W.

[Note: W is neither purely continuous nor purely discrete, instead it has a “mixed” distribution with a discrete component at 0 and is continuous for values

b. What is the pdf of W for

asked 2021-01-02

The half - life of a certain radioactive material is 85 days. An initial amount of the material has a mass of 801 kg Write an exponential function that models the decay of this material. Find how much radioactive material remains after 10 days. Round your answer to the nearest thousandth.

asked 2020-11-08

A home is valued at $236,500 in 2012. In 2017, the home is worth $305,700. Assume the homes

asked 2020-12-24

The following table shows the approximate average household income in the United States in 1990, 1995, and 2003. (

Which of the following kinds of models would best fit the given data?

Explain your choice of model. ( a, b, c, and m are constants.)

a) Linear:

b) Quadratic:

c) Exponential: