# Dumping and other material-handling operations near a landfill may result in contaminated...

## Question:

Dumping and other material-handling operations near a landfill may result in contaminated particles being emitted into the surrounding air. To estimate such particulate emission, the following empirical formula can be used

E(V,M)={eq}K(0.0032)(\frac{V}{5})^{1.2}(\frac{M}{2})^{-1.3} {/eq}

where E is the emission factor (in pounds of particles released into the air per ton of soil moved), V is the mean speed of the wind (mph), M is the moisture content of the material (given as a percentage), and k is a constant that depends on the size of the particles.

(a) For a particle of a particular size, we find k= 0.17. Find E(10,13). E(10,13)= _

(b) The emission factor E can be multiplied by the number of tons of material handled to obtain a measure of total emissions. Suppose 21 tons of the material in part (a) is handled. How many tons of a second kind of material with k=0.24 and moisture content 11% must be handled to achieve the same level of total emissions if the wind velocity stays the same? tons:

## Evaluating a Function

If you have a function with multiple variables {eq}f(x,y) {/eq} then the notation {eq}f(a,b) {/eq} means to replace every {eq}x {/eq} in the function with {eq}a {/eq} and to replace every {eq}y {/eq} in the function with {eq}b {/eq}. For example, for the function {eq}f(x,y) = 3x^2y + 2y + x {/eq} the value {eq}f(1,2) {/eq} is {eq}f(1,2) = 3(1)^2(2) + 2(2) + 1 = 6+4 +1 = 11 {/eq}

Become a Study.com member to unlock this answer!

For the function {eq}E(V,M)=K(0.0032)(\frac{V}{5})^{1.2}(\frac{M}{2})^{-1.3} {/eq}

a) with {eq}K=0.17 {/eq}, the function becomes...

What is Function Notation: Definition & Examples

from

Chapter 1 / Lesson 8
25K

Function notation is a mathematical concept that deals with displaying a system of symbols. Discover the definition and examples of function notation, as well as how to write it, how to evaluate functions, and how to combine two functions in function composition.