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Assignment
Question 1
The function P(t) = 145e-0.092t models a runner's pulse, P(t), in beats per minute, t minutes after a race, where 0 ≤ t ≤15. Graph the function using a graphing utility. TRACE along the graph and determine after how many minutes the runner's pulse will be 70 beats per minute. Round to the nearest tenth of a minute. Verify your observation algebraically.
Question 2
Use the numbers shown in the bar graph below to find the total cost of tuition and fees at public colleges for a four year period from the school year ending in 2007 through the school year ending in 2010.
The model an = 395n + 5419 describes the cost of tuition and fees at public colleges in academic year n, where n = 1 corresponds to the school year ending in 2007, n = 2 to the school year ending in 2008, and so on.
Use this model and the formula for Sn to find the total cost of tuition and fees at public colleges for a four-year period from the school year ending in 2007 through the school year ending in 2010.
How does this compare with the actual sum you obtained in part (a)?
Where x is the number of hours required by a skilled craftsperson and y is the number of hours required by a semi-skilled person. Find values of x and y that minimize the labor charge. Find the minimum labor charge.
What is a common factor? where do you use the common factor in an expression consisting of various terms? What is a zero factor property? How does this help in solving equations?
What is the angle measure, in degrees and rounded to the nearest tenth, through which the larger gear has rotated when the smaller gear has made one complete rotation?
Using your home as inspiration, design a word problem that can be solved using an algebraic equation. In preparing your problem, consider how much information is needed to solve the problem
Describe how you arrived at your answer by showing your work/setup with the slope formula.
Factor of the given polynomial
Identify the factor of trinomial.
Find the parametric equation for the line R normal to this plane.
Let R be a ring with the property that every element is either nilpotent or invertible. If a, b, c are in R with a and b nilpotent, show that ac, ca, and a + b are nilpotent.
Draw a graph of the following linear function and give the domain and range:h(x) = -2x + 3
A launched rocket has an altitude, in meters, given by the polynomial , where is the height, in meters, from which the launch occurs, at velocity in meters per second, and is the number of seconds for which the rocket is airborne.
Solving equation and rationalizing the denominator
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