Sketch a graph for the situation and identify the related parent function. Then explain what the reasonable domain and range for the function is and compare it with the domain and range of the parent function. distance traveled after h hours at a speed of 55 mi/h.

At sea level, the weight of the atmosphere exerts a pressure of 14.7 pounds per square inch, commonly referred to as 1 atmosphere of pressure. As an object descends in water, pressure P and depth d are linearly related. In salt water, the pressure at a depth of 33 ft is 2 atms, or 29.4 pounds per squar e inch. (A) Find a linear model that relates pressure P (in pounds per square inch) to depth d (in feet). (B) Interpret the slope of the model. (C) Find the pressure at a depth of 50 ft. (D) Find the depth at which the pressure is 4 atms.

What is the area of a regular hexagon with a perimeter of 240 cm?

a. Show that x³ + x² + 1 is irreducible over

$$ℤ_2.$$

b. Let α be a zero of x³ + x² + 1 in an extension field of

$$ℤ_2.$$

Show that x³ + x² + 1 factors into three linear factors in

$$(ℤ_2(α))[x]$$

by actually finding this factorization.

It is said that a higher proportion of drivers of red cars are given tickets for traffic violations than drivers of any other car color. Does this mean that if you drive a red car rather than a car of some other color, it will cause you to get more tickets for traffic violations? Explain.

One Union relief worker said,"The suffering of men in battle is nothing next to the agony that women feel sending forth their loved ones to war," Do you agree with statement? Explain why or why not.

Factor the polynomial. $a ^ { 2 } - 18 a + 81$

Reread the poem. With a small group, discuss why the grandfather "shoots a look" at the speaker. Why does the speaker clutch the bar? Cite evidence from the poem in your discussion.

Determine the inverse Laplace transform of F.

$$F ( s ) = \frac { e ^ { - s } ( 2 s - 1 ) } { s ^ { 2 } + 4 s + 5 }.$$

A polynomial function has the equation $P ( x ) = x ( x - 3 ) ^ { 2 } ( 2 x + 1 )$ What are the x-intercepts?

Find the sale price of the given item. Round to two decimal places when necessary: Original price : $23.99; Markdown : 44%.

In a survey of 1046 adults conducted by Bradley Corporation, subjects were asked how often they wash their hands when using a public restroom, and 70% of the respondents said "always." b. Why would better results be obtained by observing the hand washing instead of asking about it?

A student has to write a book report on a book that contains 1440 pages. Suppose she plans to read 32 pages per day. Using function notation, express how many pages remain after reading for d days.

Fox and Raccoon are waiting for Archimedes to meet up with them. Fox crawls at a rate of 9 feet per minute. Raccoon crawls at a rate of 1 foot per minute and always starts 9 feet in front of Fox. How does Fox’s graph compare to Raccoon’s graph?