Mathematical Applications for the Management, Life, and Social Sciences
12th Edition
ISBN: 9781337625340
Author: Ronald J. Harshbarger, James J. Reynolds
Publisher: Cengage Learning
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Chapter 0.4, Problem 33E
To determine
To calculate: The simplified value of the expression
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Here is an augmented matrix for a system of equations (three equations and three variables). Let the
variables used be x, y, and z:
1 2 4 6
0 1
-1
3
0
0
1
4
Note: that this matrix is already in row echelon form.
Your goal is to use this row echelon form to revert back to the equations that this represents, and then to
ultimately solve the system of equations by finding x, y and z.
Input your answer as a coordinate point: (x,y,z) with no spaces.
1
3 -4
In the following matrix
perform the operation 2R1 + R2 → R2.
-2 -1
6
After you have completed this, what numeric value is in the a22 position?
Chapter 0 Solutions
Mathematical Applications for the Management, Life, and Social Sciences
Ch. 0.1 - Prob. 1CPCh. 0.1 - Prob. 2CPCh. 0.1 - Prob. 3CPCh. 0.1 - Prob. 4CPCh. 0.1 - CHECK POINT Let A=={ 2,3,5,7,11 } ,B={ 2,4,6,8,10...Ch. 0.1 - Prob. 6CPCh. 0.1 - Prob. 7CPCh. 0.1 - Prob. 8CPCh. 0.1 - In problems 1-4, use or to indicate whether the...Ch. 0.1 - In problems 1-4, use or to indicate whether the...
Ch. 0.1 - In problems 1-4, use or to indicate whether the...Ch. 0.1 - In problems 1-4, use or to indicate whether the...Ch. 0.1 - In problems 5-8, write the following sets in a...Ch. 0.1 - In problems 5-8, write the following sets in a...Ch. 0.1 - In problems 5-8, write the following sets in a...Ch. 0.1 - In problems 5-8, write the following sets in a...Ch. 0.1 - Prob. 9ECh. 0.1 - Prob. 10ECh. 0.1 - Is AB if A={a,b,c,d}andB={a,b,d}?Ch. 0.1 - Is AB if A={6,8,10,12}andB={6,8,10,14,18}?Ch. 0.1 - Prob. 13ECh. 0.1 - In problems 13-16, Use notation to indicate which...Ch. 0.1 - Prob. 15ECh. 0.1 - In problems 13-16, Use notation to indicate which...Ch. 0.1 - Prob. 17ECh. 0.1 - Prob. 18ECh. 0.1 - Prob. 19ECh. 0.1 - Prob. 20ECh. 0.1 - From the following list of sets, indicate which...Ch. 0.1 - If A,B are disjoint sets, what does AB equal?Ch. 0.1 - In problems 23-26, find AB....Ch. 0.1 - Prob. 24ECh. 0.1 - In problems 23-26, find AB. A=andB={x,y,a,b}Ch. 0.1 - In problems 23-26, find AB....Ch. 0.1 - Prob. 27ECh. 0.1 - Prob. 28ECh. 0.1 - Prob. 29ECh. 0.1 - Prob. 30ECh. 0.1 - Prob. 31ECh. 0.1 - Prob. 32ECh. 0.1 - Prob. 33ECh. 0.1 - In problems 31-42, let....Ch. 0.1 - Prob. 35ECh. 0.1 - Prob. 36ECh. 0.1 - Prob. 37ECh. 0.1 - In problems 31-42, let....Ch. 0.1 - Prob. 39ECh. 0.1 - Prob. 40ECh. 0.1 - Prob. 41ECh. 0.1 - Prob. 42ECh. 0.1 - Prob. 43ECh. 0.1 - Prob. 44ECh. 0.1 - Prob. 45ECh. 0.1 - Prob. 46ECh. 0.1 - Dow Jones Industrial Average The following table...Ch. 0.1 - Job growth The number of jobs in 2000, the number...Ch. 0.1 - Carbon emission controls Suppose that the...Ch. 0.1 - Carbon emission controls Suppose that the...Ch. 0.1 - Languages A survey of 100 aides at the United...Ch. 0.1 - Advertising Suppose that a survey of 100...Ch. 0.1 - College enrollments Records at a small college...Ch. 0.1 - Survey analysis In a survey of the dining...Ch. 0.1 - Blood types Blood types are determined by the...Ch. 0.2 - CHECK POINT Decide which of the following are...Ch. 0.2 - Prob. 2CPCh. 0.2 - Prob. 3CPCh. 0.2 - Prob. 4CPCh. 0.2 - Prob. 5CPCh. 0.2 - Prob. 6CPCh. 0.2 - In Problems 1and2, indicate whether the given...Ch. 0.2 - In Problems 1and2, indicate whether the given...Ch. 0.2 - Prob. 3ECh. 0.2 - Which property of real numbers is illustrated in...Ch. 0.2 - Prob. 5ECh. 0.2 - Prob. 6ECh. 0.2 - Prob. 7ECh. 0.2 - Prob. 8ECh. 0.2 - Prob. 9ECh. 0.2 - Prob. 10ECh. 0.2 - Prob. 11ECh. 0.2 - Prob. 12ECh. 0.2 - Prob. 13ECh. 0.2 - Prob. 14ECh. 0.2 - Prob. 15ECh. 0.2 - Prob. 16ECh. 0.2 - Prob. 17ECh. 0.2 - Prob. 18ECh. 0.2 - Prob. 19ECh. 0.2 - Prob. 20ECh. 0.2 - Prob. 21ECh. 0.2 - Prob. 22ECh. 0.2 - Prob. 23ECh. 0.2 - Prob. 24ECh. 0.2 - Prob. 25ECh. 0.2 - Prob. 26ECh. 0.2 - Prob. 27ECh. 0.2 - Prob. 28ECh. 0.2 - Prob. 29ECh. 0.2 - Prob. 30ECh. 0.2 - Prob. 31ECh. 0.2 - In problems 29-32, express each inequality or...Ch. 0.2 - In problems 33-36, write an inequality that...Ch. 0.2 - Prob. 34ECh. 0.2 - Prob. 35ECh. 0.2 - Prob. 36ECh. 0.2 - Prob. 37ECh. 0.2 - Prob. 38ECh. 0.2 - Prob. 39ECh. 0.2 - Prob. 40ECh. 0.2 - Prob. 41ECh. 0.2 - Prob. 42ECh. 0.2 - Prob. 43ECh. 0.2 - Prob. 44ECh. 0.2 - Prob. 45ECh. 0.2 - Prob. 46ECh. 0.2 - Prob. 47ECh. 0.2 - Prob. 48ECh. 0.2 - Prob. 49ECh. 0.2 - Prob. 50ECh. 0.2 - Take-home pay A salesclerk's take-home pay is...Ch. 0.2 - Crude oil production Using data from 2010 and...Ch. 0.2 - Worldwide Internet users Using data from 2014 and...Ch. 0.2 - Health statistics Using data adapted from the...Ch. 0.2 - Prob. 55ECh. 0.3 - CHECK POINT Complete the following. (a) x3x8=x?...Ch. 0.3 - Prob. 2CPCh. 0.3 - Prob. 3CPCh. 0.3 - Prob. 1ECh. 0.3 - Prob. 2ECh. 0.3 - Prob. 3ECh. 0.3 - Prob. 4ECh. 0.3 - Prob. 5ECh. 0.3 - Prob. 6ECh. 0.3 - Prob. 7ECh. 0.3 - Prob. 8ECh. 0.3 - Prob. 9ECh. 0.3 - Prob. 10ECh. 0.3 - Prob. 11ECh. 0.3 - Prob. 12ECh. 0.3 - Prob. 13ECh. 0.3 - Prob. 14ECh. 0.3 - Prob. 15ECh. 0.3 - Prob. 16ECh. 0.3 - Prob. 17ECh. 0.3 - Prob. 18ECh. 0.3 - Prob. 19ECh. 0.3 - Prob. 20ECh. 0.3 - Prob. 21ECh. 0.3 - Prob. 22ECh. 0.3 - Prob. 23ECh. 0.3 - Prob. 24ECh. 0.3 - Prob. 25ECh. 0.3 - Prob. 26ECh. 0.3 - Prob. 27ECh. 0.3 - Prob. 28ECh. 0.3 - Prob. 29ECh. 0.3 - Prob. 30ECh. 0.3 - Prob. 31ECh. 0.3 - Prob. 32ECh. 0.3 - Prob. 33ECh. 0.3 - Prob. 34ECh. 0.3 - Prob. 35ECh. 0.3 - Prob. 36ECh. 0.3 - Prob. 37ECh. 0.3 - Prob. 38ECh. 0.3 - Prob. 39ECh. 0.3 - In problems 37-48, compute and simplify so that...Ch. 0.3 - Prob. 41ECh. 0.3 - Prob. 42ECh. 0.3 - Prob. 43ECh. 0.3 - Prob. 44ECh. 0.3 - Prob. 45ECh. 0.3 - Prob. 46ECh. 0.3 - Prob. 47ECh. 0.3 - Prob. 48ECh. 0.3 - In many applications, it is necessary to write...Ch. 0.3 - Prob. 50ECh. 0.3 - Prob. 51ECh. 0.3 - Prob. 52ECh. 0.3 - Prob. 53ECh. 0.3 - Prob. 54ECh. 0.3 - In many applications, it is necessary to write...Ch. 0.3 - In many applications, it is necessary to write...Ch. 0.3 - Prob. 57ECh. 0.3 - Prob. 58ECh. 0.3 - Prob. 59ECh. 0.3 - Prob. 60ECh. 0.3 - Present value If an investment has a goal (future...Ch. 0.3 - Present value If an investment has a goal (future...Ch. 0.3 - Personal income The total U.S. personal income I...Ch. 0.3 - Prob. 64ECh. 0.3 - Diabetes Using data from 2010 and projected to...Ch. 0.3 - Prob. 66ECh. 0.3 - Health care expenditures The national health care...Ch. 0.4 - CHECK POINT Which of the following are not real...Ch. 0.4 - CHECK POINT (a) W rite as radicals x13,x25,x32....Ch. 0.4 - CHECK POINT Evaluate the following. (a) 823 (b)...Ch. 0.4 - Complete the following. (a) xx13x3=x? (b) x2x12=x?...Ch. 0.4 - True or false. (a) 8x23x13=4x (b)...Ch. 0.4 - CHECK POINT Simplify. 24x33y 12xy23x2y 24x4y33y2Ch. 0.4 - Prob. 7CPCh. 0.4 - Prob. 1ECh. 0.4 - Prob. 2ECh. 0.4 - Prob. 3ECh. 0.4 - Prob. 4ECh. 0.4 - Prob. 5ECh. 0.4 - Prob. 6ECh. 0.4 - Prob. 7ECh. 0.4 - Prob. 8ECh. 0.4 - Prob. 9ECh. 0.4 - Prob. 10ECh. 0.4 - Prob. 11ECh. 0.4 - Prob. 12ECh. 0.4 - Prob. 13ECh. 0.4 - Prob. 14ECh. 0.4 - Prob. 15ECh. 0.4 - Prob. 16ECh. 0.4 - Prob. 17ECh. 0.4 - Prob. 18ECh. 0.4 - Prob. 19ECh. 0.4 - Prob. 20ECh. 0.4 - Prob. 21ECh. 0.4 - Prob. 22ECh. 0.4 - Prob. 23ECh. 0.4 - Prob. 24ECh. 0.4 - Prob. 25ECh. 0.4 - Prob. 26ECh. 0.4 - Prob. 27ECh. 0.4 - Prob. 28ECh. 0.4 - Prob. 29ECh. 0.4 - Prob. 30ECh. 0.4 - Prob. 31ECh. 0.4 - Prob. 32ECh. 0.4 - Prob. 33ECh. 0.4 - Prob. 34ECh. 0.4 - Prob. 35ECh. 0.4 - In problems 31-36, simplify each expression. 32x5yCh. 0.4 - Prob. 37ECh. 0.4 - Prob. 38ECh. 0.4 - Prob. 39ECh. 0.4 - In problems 37-44, perform the indicated...Ch. 0.4 - In problems 37-44, perform the indicated...Ch. 0.4 - In problems 37-44, perform the indicated...Ch. 0.4 - In problems 37-44, perform the indicated...Ch. 0.4 - In problems 37-44, perform the indicated...Ch. 0.4 - In problems 45-48, determine a value for x that...Ch. 0.4 - In problems 45-48, determine a value for x that...Ch. 0.4 - In problems 45-48, determine a value for x that...Ch. 0.4 - In problems 45-48, determine a value for x that...Ch. 0.4 - In problems 49-54, rationalize the denominator and...Ch. 0.4 - In problems 49-54, rationalize the denominator and...Ch. 0.4 - In problems 49-54, rationalize the denominator and...Ch. 0.4 - In problems 49-54, rationalize the denominator and...Ch. 0.4 - In problems 49-54, rationalize the denominator and...Ch. 0.4 - In problems 49-54, rationalize the denominator and...Ch. 0.4 - In calculus, it is frequently important to write...Ch. 0.4 - In calculus, it is frequently important to write...Ch. 0.4 - Prob. 57ECh. 0.4 - In calculus, it is frequently important to write...Ch. 0.4 - Prob. 59ECh. 0.4 - Prob. 60ECh. 0.4 - In calculus problems, the answers are frequently...Ch. 0.4 - Prob. 62ECh. 0.4 - Richter scale the richter scale reading for an...Ch. 0.4 - Sound intensity The intensty of sound I (as a...Ch. 0.4 - Prob. 65ECh. 0.4 - Prob. 66ECh. 0.4 - Prob. 67ECh. 0.4 - Prob. 68ECh. 0.4 - Prob. 69ECh. 0.4 - Prob. 70ECh. 0.4 - Prob. 71ECh. 0.4 - Advertising and sales Suppose it has been...Ch. 0.4 - Prob. 73ECh. 0.5 - Remove parenthesis and combine like terms:...Ch. 0.5 - Prob. 2CPCh. 0.5 - Prob. 3CPCh. 0.5 - Prob. 1ECh. 0.5 - Prob. 2ECh. 0.5 - Prob. 3ECh. 0.5 - Prob. 4ECh. 0.5 - Prob. 5ECh. 0.5 - The expressions in Problems 5 and 6 are...Ch. 0.5 - Prob. 7ECh. 0.5 - Prob. 8ECh. 0.5 - Prob. 9ECh. 0.5 - In problems 7-12, evaluate each algebraic...Ch. 0.5 - Prob. 11ECh. 0.5 - Prob. 12ECh. 0.5 - Prob. 13ECh. 0.5 - Prob. 14ECh. 0.5 - Prob. 15ECh. 0.5 - Prob. 16ECh. 0.5 - Prob. 17ECh. 0.5 - In problems 15-22, simplify by combining like...Ch. 0.5 - In problems 15-22, simplify by combining like...Ch. 0.5 - In problems 15-22, simplify by combining like...Ch. 0.5 - In problems 15-22, simplify by combining like...Ch. 0.5 - In problems 15-22, simplify by combining like...Ch. 0.5 - In problems 23-58, perform the indicated...Ch. 0.5 - In problems 23-58, perform the indicated...Ch. 0.5 - In problems 23-58, perform the indicated...Ch. 0.5 - In problems 23-58, perform the indicated...Ch. 0.5 - In problems 23-58, perform the indicated...Ch. 0.5 - In problems 23-58, perform the indicated...Ch. 0.5 - In problems 23-58, perform the indicated...Ch. 0.5 - In problems 23-58, perform the indicated...Ch. 0.5 - In problems 23-58, perform the indicated...Ch. 0.5 - In problems 23-58, perform the indicated...Ch. 0.5 - In problems 23-58, perform the indicated...Ch. 0.5 - In problems 23-58, perform the indicated...Ch. 0.5 - In problems 23-58, perform the indicated...Ch. 0.5 - In problems 23-58, perform the indicated...Ch. 0.5 - In problems 23-58, perform the indicated...Ch. 0.5 - In problems 23-58, perform the indicated...Ch. 0.5 - In problems 23-58, perform the indicated...Ch. 0.5 - In problems 23-58, perform the indicated...Ch. 0.5 - In problems 23-58, perform the indicated...Ch. 0.5 - In problems 23-58, perform the indicated...Ch. 0.5 - In problems 23-58, perform the indicated...Ch. 0.5 - In problems 23-58, perform the indicated...Ch. 0.5 - In problems 23-58, perform the indicated...Ch. 0.5 - In problems 23-58, perform the indicated...Ch. 0.5 - In problems 23-58, perform the indicated...Ch. 0.5 - Prob. 48ECh. 0.5 - In problems 23-58, perform the indicated...Ch. 0.5 - In problems 23-58, perform the indicated...Ch. 0.5 - Prob. 51ECh. 0.5 - Prob. 52ECh. 0.5 - Prob. 53ECh. 0.5 - Prob. 54ECh. 0.5 - Prob. 55ECh. 0.5 - Prob. 56ECh. 0.5 - Prob. 57ECh. 0.5 - Prob. 58ECh. 0.5 - Prob. 59ECh. 0.5 - In problems 59 and 60, simplify each expression....Ch. 0.5 - Prob. 61ECh. 0.5 - Prob. 62ECh. 0.5 - In Problems 61-68, perform the indicated...Ch. 0.5 - Prob. 64ECh. 0.5 - Prob. 65ECh. 0.5 - Prob. 66ECh. 0.5 - Prob. 67ECh. 0.5 - In Problems 61-68, perform the indicated...Ch. 0.5 - Prob. 69ECh. 0.5 - Profit Suppose a companys revenue R (in dollars)...Ch. 0.5 - Prob. 71ECh. 0.5 - Cell phones Cell Pro makes cell phones and has...Ch. 0.5 - Prob. 73ECh. 0.5 - Medications Suppose a nurse needs 10 cc (cubic...Ch. 0.5 - Prob. 75ECh. 0.6 - Factor the following. 8x312x 3x(x2+5)5(x2+5)...Ch. 0.6 - Consider 10x217x20 andobserve that...Ch. 0.6 - Prob. 3CPCh. 0.6 - In Problems 1 and 2, factor out the common...Ch. 0.6 - Prob. 2ECh. 0.6 - Prob. 3ECh. 0.6 - Prob. 4ECh. 0.6 - Prob. 5ECh. 0.6 - Prob. 6ECh. 0.6 - Prob. 7ECh. 0.6 - Prob. 8ECh. 0.6 - Prob. 9ECh. 0.6 - Prob. 10ECh. 0.6 - Prob. 11ECh. 0.6 - Prob. 12ECh. 0.6 - Prob. 13ECh. 0.6 - Prob. 14ECh. 0.6 - Factor each expression in Problems 7-18 as a...Ch. 0.6 - Prob. 16ECh. 0.6 - Prob. 17ECh. 0.6 - Prob. 18ECh. 0.6 - Prob. 19ECh. 0.6 - Prob. 20ECh. 0.6 - Prob. 21ECh. 0.6 - Prob. 22ECh. 0.6 - Prob. 23ECh. 0.6 - Prob. 24ECh. 0.6 - Prob. 25ECh. 0.6 - Prob. 26ECh. 0.6 - Prob. 27ECh. 0.6 - Prob. 28ECh. 0.6 - Prob. 29ECh. 0.6 - Prob. 30ECh. 0.6 - Prob. 31ECh. 0.6 - Prob. 32ECh. 0.6 - Prob. 33ECh. 0.6 - Prob. 34ECh. 0.6 - Prob. 35ECh. 0.6 - Prob. 36ECh. 0.6 - Prob. 37ECh. 0.6 - Prob. 38ECh. 0.6 - Prob. 39ECh. 0.6 - Prob. 40ECh. 0.6 - Prob. 41ECh. 0.6 - Prob. 42ECh. 0.6 - Prob. 43ECh. 0.6 - Prob. 44ECh. 0.6 - Prob. 45ECh. 0.6 - In Problems 45-48, determine the missing factor....Ch. 0.6 - Prob. 47ECh. 0.6 - Prob. 48ECh. 0.6 - Prob. 49ECh. 0.6 - Prob. 50ECh. 0.6 - Prob. 51ECh. 0.6 - Prob. 52ECh. 0.6 - Prob. 53ECh. 0.6 - Prob. 54ECh. 0.6 - Prob. 55ECh. 0.6 - Prob. 56ECh. 0.6 - Prob. 57ECh. 0.6 - Prob. 58ECh. 0.6 - Prob. 59ECh. 0.6 - Volume Squares of side x are cut from four corners...Ch. 0.6 - Prob. 61ECh. 0.6 - Power in a circuit Factor the following expression...Ch. 0.6 - Revenue Revenue R from the sale of x units of a...Ch. 0.6 - Prob. 64ECh. 0.7 - Simplify: 2x24x2xCh. 0.7 - Prob. 2CPCh. 0.7 - Prob. 3CPCh. 0.7 - Prob. 4CPCh. 0.7 - Simplify yx1yxxyCh. 0.7 - Prob. 6CPCh. 0.7 - In Problems 1-6 simplify each fraction. 18x3y39x3zCh. 0.7 - Prob. 2ECh. 0.7 - Prob. 3ECh. 0.7 - In Problems 1-6 simplify each fraction. x26x+8x216Ch. 0.7 - Prob. 5ECh. 0.7 - Prob. 6ECh. 0.7 - Prob. 7ECh. 0.7 - Prob. 8ECh. 0.7 - Prob. 9ECh. 0.7 - Prob. 10ECh. 0.7 - Prob. 11ECh. 0.7 - Prob. 12ECh. 0.7 - Prob. 13ECh. 0.7 - Prob. 14ECh. 0.7 - In Problems 7-34, perform the indicated operations...Ch. 0.7 - Prob. 16ECh. 0.7 - Prob. 17ECh. 0.7 - Prob. 18ECh. 0.7 - Prob. 19ECh. 0.7 - Prob. 20ECh. 0.7 - Prob. 21ECh. 0.7 - Prob. 22ECh. 0.7 - Prob. 23ECh. 0.7 - Prob. 24ECh. 0.7 - Prob. 25ECh. 0.7 - Prob. 26ECh. 0.7 - Prob. 27ECh. 0.7 - Prob. 28ECh. 0.7 - Prob. 29ECh. 0.7 - Prob. 30ECh. 0.7 - Prob. 31ECh. 0.7 - Prob. 32ECh. 0.7 - Prob. 33ECh. 0.7 - Prob. 34ECh. 0.7 - Prob. 35ECh. 0.7 - Prob. 36ECh. 0.7 - Prob. 37ECh. 0.7 - Prob. 38ECh. 0.7 - Prob. 39ECh. 0.7 - Prob. 40ECh. 0.7 - Prob. 41ECh. 0.7 - Prob. 42ECh. 0.7 - Prob. 43ECh. 0.7 - Prob. 44ECh. 0.7 - Prob. 45ECh. 0.7 - Prob. 46ECh. 0.7 - Prob. 47ECh. 0.7 - Prob. 48ECh. 0.7 - Prob. 49ECh. 0.7 - Prob. 50ECh. 0.7 - In Problems 51 and 52, rationalize the numerator...Ch. 0.7 - Prob. 52ECh. 0.7 - Prob. 53ECh. 0.7 - APPLICATIONS Focal length Two thin lenses with...Ch. 0.7 - APPLICATIONS Average cost A companys average cost...Ch. 0.7 - Prob. 56ECh. 0.7 - Prob. 57ECh. 0.7 - APPLICATIONS Annuity The formula for the future...Ch. 0 - Prob. 1RECh. 0 - Is it true that 3{x:x3}?Ch. 0 - Are A={1,2,3,4} and B={x:x1} disjoint?Ch. 0 - Prob. 4RECh. 0 - Prob. 5RECh. 0 - Prob. 6RECh. 0 - Prob. 7RECh. 0 - Prob. 8RECh. 0 - Indicate whether each given expression is one or...Ch. 0 - Prob. 10RECh. 0 - Prob. 11RECh. 0 - Prob. 12RECh. 0 - Prob. 13RECh. 0 - Prob. 14RECh. 0 - Prob. 15RECh. 0 - Prob. 16RECh. 0 - Prob. 17RECh. 0 - Prob. 18RECh. 0 - Prob. 19RECh. 0 - Write an inequality that represents each of the...Ch. 0 - Prob. 21RECh. 0 - Prob. 22RECh. 0 - Prob. 23RECh. 0 - Prob. 24RECh. 0 - Prob. 25RECh. 0 - Prob. 26RECh. 0 - Prob. 27RECh. 0 - Prob. 28RECh. 0 - Prob. 29RECh. 0 - Prob. 30RECh. 0 - Prob. 31RECh. 0 - Prob. 32RECh. 0 - Prob. 33RECh. 0 - Prob. 34RECh. 0 - Prob. 35RECh. 0 - Prob. 36RECh. 0 - Prob. 37RECh. 0 - Prob. 38RECh. 0 - Prob. 39RECh. 0 - Prob. 40RECh. 0 - Prob. 41RECh. 0 - Prob. 42RECh. 0 - Prob. 43RECh. 0 - Prob. 44RECh. 0 - Prob. 45RECh. 0 - Prob. 46RECh. 0 - Prob. 47RECh. 0 - Prob. 48RECh. 0 - Prob. 49RECh. 0 - Prob. 50RECh. 0 - Prob. 51RECh. 0 - Prob. 52RECh. 0 - Prob. 53RECh. 0 - Prob. 54RECh. 0 - Prob. 55RECh. 0 - Prob. 56RECh. 0 - Prob. 57RECh. 0 - Prob. 58RECh. 0 - Prob. 59RECh. 0 - Prob. 60RECh. 0 - Prob. 61RECh. 0 - Prob. 62RECh. 0 - Prob. 63RECh. 0 - In problems 63-73, factor each expression...Ch. 0 - Prob. 65RECh. 0 - Prob. 66RECh. 0 - Prob. 67RECh. 0 - Prob. 68RECh. 0 - Prob. 69RECh. 0 - Prob. 70RECh. 0 - Prob. 71RECh. 0 - Prob. 72RECh. 0 - Prob. 73RECh. 0 - Prob. 74RECh. 0 - Prob. 75RECh. 0 - Prob. 76RECh. 0 - Prob. 77RECh. 0 - Prob. 78RECh. 0 - Prob. 79RECh. 0 - Prob. 80RECh. 0 - Prob. 81RECh. 0 - Prob. 82RECh. 0 - Prob. 83RECh. 0 - Prob. 84RECh. 0 - Prob. 85RECh. 0 - Prob. 86RECh. 0 - Prob. 87RECh. 0 - Prob. 88RECh. 0 - Prob. 89RECh. 0 - Prob. 90RECh. 0 - Prob. 91RECh. 0 - Prob. 92RECh. 0 - Prob. 93RECh. 0 - Prob. 94RECh. 0 - Prob. 95RECh. 0 - Prob. 96RECh. 0 - Prob. 97RECh. 0 - Prob. 98RECh. 0 - Prob. 99RECh. 0 - Prob. 1TCh. 0 - Prob. 2TCh. 0 - Prob. 3TCh. 0 - Prob. 4TCh. 0 - Prob. 5TCh. 0 - Prob. 6TCh. 0 - Prob. 7TCh. 0 - Prob. 8TCh. 0 - Prob. 9TCh. 0 - Prob. 10TCh. 0 - Prob. 11TCh. 0 - Prob. 12TCh. 0 - Prob. 13TCh. 0 - In a nutrition survey of 320 students, the...Ch. 0 - Prob. 15TCh. 0 - Campaign Management A politician is trying to win...Ch. 0 - Prob. 2EAGP1Ch. 0 - Campaign Management A politician is trying to win...Ch. 0 - Prob. 4EAGP1
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- 5 -2 0 1 6 12 Let A = 6 7 -1 and B = 1/2 3 -14 -2 0 4 4 4 0 Compute -3A+2B and call the resulting matrix R. If rij represent the individual entries in the matrix R, what numeric value is in 131? Input your answer as a numeric value only.arrow_forward1 -2 4 10 My goal is to put the matrix 5 -1 1 0 into row echelon form using Gaussian elimination. 3 -2 6 9 My next step is to manipulate this matrix using elementary row operations to get a 0 in the a21 position. Which of the following operations would be the appropriate elementary row operation to use to get a 0 in the a21 position? O (1/5)*R2 --> R2 ○ 2R1 + R2 --> R2 ○ 5R1+ R2 --> R2 O-5R1 + R2 --> R2arrow_forwardThe 2x2 linear system of equations -2x+4y = 8 and 4x-3y = 9 was put into the following -2 4 8 augmented matrix: 4 -3 9 This augmented matrix is then converted to row echelon form. Which of the following matrices is the appropriate row echelon form for the given augmented matrix? 0 Option 1: 1 11 -2 Option 2: 4 -3 9 Option 3: 10 ܂ -2 -4 5 25 1 -2 -4 Option 4: 0 1 5 1 -2 Option 5: 0 0 20 -4 5 ○ Option 1 is the appropriate row echelon form. ○ Option 2 is the appropriate row echelon form. ○ Option 3 is the appropriate row echelon form. ○ Option 4 is the appropriate row echelon form. ○ Option 5 is the appropriate row echelon form.arrow_forward
- Let matrix A have order (dimension) 2x4 and let matrix B have order (dimension) 4x4. What results when you compute A+B? The resulting matrix will have dimensions of 2x4. ○ The resulting matrix will be a single number (scalar). The resulting matrix will have dimensions of 4x4. A+B is undefined since matrix A and B do not have the same dimensions.arrow_forwardIf -1 "[a446]-[254] 4b = -1 , find the values of a and b. ○ There is no solution for a and b. ○ There are infinite solutions for a and b. O a=3, b=3 O a=1, b=2 O a=2, b=1 O a=2, b=2arrow_forwardA student puts a 3x3 system of linear equations is into an augmented matrix. The student then correctly puts the augmented matrix into row echelon form (REF), which yields the following resultant matrix: -2 3 -0.5 10 0 0 0 -2 0 1 -4 Which of the following conclusions is mathematically supported by the work shown about system of linear equations? The 3x3 system of linear equations has no solution. ○ The 3x3 system of linear equations has infinite solutions. The 3x3 system of linear equations has one unique solution.arrow_forward
- Solve the following system of equations using matrices: -2x + 4y = 8 and 4x - 3y = 9 Note: This is the same system of equations referenced in Question 14. If a single solution exists, express your solution as an (x,y) coordinate point with no spaces. If there are infinite solutions write inf and if there are no solutions write ns in the box.arrow_forwardHi, I need to make sure I have drafted a thorough analysis, so please answer the following questions. Based on the data in the attached image, develop a regression model to forecast the average sales of football magazines for each of the seven home games in the upcoming season (Year 10). That is, you should construct a single regression model and use it to estimate the average demand for the seven home games in Year 10. In addition to the variables provided, you may create new variables based on these variables or based on observations of your analysis. Be sure to provide a thorough analysis of your final model (residual diagnostics) and provide assessments of its accuracy. What insights are available based on your regression model?arrow_forwardI want to make sure that I included all possible variables and observations. There is a considerable amount of data in the images below, but not all of it may be useful for your purposes. Are there variables contained in the file that you would exclude from a forecast model to determine football magazine sales in Year 10? If so, why? Are there particular observations of football magazine sales from previous years that you would exclude from your forecasting model? If so, why?arrow_forward
- Stat questionsarrow_forward1) and let Xt is stochastic process with WSS and Rxlt t+t) 1) E (X5) = \ 1 2 Show that E (X5 = X 3 = 2 (= = =) Since X is WSSEL 2 3) find E(X5+ X3)² 4) sind E(X5+X2) J=1 ***arrow_forwardQuestion 1: Let X be a random variable with p.m.f (|x| +1)² x= -2, -1, 0, 1,2 f(x) = C 0, O.W 1. The value of c. 2. The c.d.f. 3. E(X). 4. E(2x+3). 5. E(X²). 6. E(3x²+4). 7. E(X(3X+4)). 8. Var(X). 9. Var (6-3X). 10. Find the m.g.f of the random variable Xarrow_forward
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