Solve the problem.The table lists the amount of emissions of a certain pollutant in millions of tons.If the amount of emissions is modeled by a function of the form  where x is the year, estimate the year in which the amount of emissions will be  tons.

A. 2085
B. 2030
C. 2100
D. 2060


Answer: C

Mathematics

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Use regression to find a power model for the following data table. Then plot the data along with the graph of the power regression model. Use two digits of accuracy for the coefficient and for the power.  x 1.34 1.825 2.495 4.065 6.055 y 3.71 6.24 9.71 20.73 43.07

What will be an ideal response?

Mathematics

A rectangular box is to have a square base and a volume of 20 ft3. The material for the base costs , the material for the sides costs , and the material for the top costs 

src="https://sciemce.com/media/3/ppg__cognero__2.3_Functions_and_Mathematical_Models__media__cc37530d-eff9-4ad0-bad6-1fad79c0850d.PNG" class="wirisformula" align="middle" style="vertical-align: middle;" data-wiris-created="true" varid="variable_id_field" variablename="impvar_9e0e8a678654426ca025c0b98" />. Letting x denote the length of one side of the base, find a function in the variable x giving the cost of constructing the box. ? What will be an ideal response?

Mathematics

Solve the problem.A lake is stocked with 422 fish of a new variety. The size of the lake, the availability of food, and the number of other fish restrict growth in the lake to a limiting value of 2637. The population of fish in the lake after time t, in months, is given by the function P(t) = . Find the population after 1 months.

A. 612 fish B. 597 fish C. 587 fish D. 607 fish

Mathematics

Assume that x, y, and z are positive numbers. Use the properties of logarithms to write the expression as the logarithm of one quantity. ?

A.
B.
C.
D.
E.

Mathematics