ddaeeric
2021-07-20
Answered

In addition to quadratic and exponential models, another common type of model is called a power model. Power models are models in the form $\hat{y}=a\cdot {x}^{p}.$ Here are data on the eight planets of our solar system. Distance from the sun is measured in astronomical units (AU), the average distance Earth is from the sun.

You can still ask an expert for help

grbavit

Answered 2021-07-21
Author has **109** answers

We will carry out calculations to build a schedule

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 2020-12-02

The original number of bacteria found present in a body was 160. Now, after a period of 9 hours, the body has a count of 920 bacteria. Write the exponential equation that models the growth of the bacteria.

asked 2021-09-08

By 2009, the models indicate that Canada’s population will exceed Uganda’s by approximately 2.8 million.The exponential growth models describe the population of the indicated country, A, in millions, t years after 2006. Determine whether the statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement.

Canada:$A=33.1{e}^{0.009t}$

Uganda:$A=28.2{e}^{0.034t}$

Canada:

Uganda:

asked 2021-11-16

I need help with exponential functions. I know that the derivative of $e}^{x$ is $e}^{x$ , but wolfram alpha shows a different answer to my function below. If you, for example, take the derivative of $e}^{-2x$ do you get $-2{e}^{-2x}$ or $e}^{-2x$ ?

asked 2021-06-21

Use the factors to identify the zeros of

asked 2021-07-01

Show that an exponential model fits the data. Then write a recursive rule that models the data.