
Elementary Technical Mathematics
11th Edition
ISBN: 9781285199191
Author: Dale Ewen, C. Robert Nelson
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 8.1, Problem 57E
Plot each point in the number plane. Label each point by writing its ordered pair and letter:
Expert Solution & Answer

Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Problem 11 (a) A tank is discharging water through an orifice at a depth of T
meter below the surface of the water whose area is A m². The
following are the values of a for the corresponding values of A:
A 1.257 1.390
x 1.50 1.65
1.520 1.650 1.809 1.962 2.123 2.295 2.462|2.650
1.80 1.95 2.10 2.25 2.40 2.55 2.70
2.85
Using the formula
-3.0
(0.018)T =
dx.
calculate T, the time in seconds for the level of the water to drop
from 3.0 m to 1.5 m above the orifice.
(b) The velocity of a train which starts from rest is given by the fol-
lowing table, the time being reckoned in minutes from the start
and the speed in km/hour:
| † (minutes) |2|4 6 8 10 12
14 16 18 20
v (km/hr) 16 28.8 40 46.4 51.2 32.0 17.6 8 3.2 0
Estimate approximately the total distance ran in 20 minutes.
-
Let n = 7, let p = 23 and let S be the set of least positive residues mod p of the first (p − 1)/2
multiple of n, i.e.
n mod p, 2n mod p, ...,
p-1
2
-n mod p.
Let T be the subset of S consisting of those residues which exceed p/2.
Find the set T, and hence compute the Legendre symbol (7|23).
23
32
how come?
The first 11 multiples of 7 reduced mod 23 are
7, 14, 21, 5, 12, 19, 3, 10, 17, 1, 8.
The set T is the subset of these residues exceeding
So T = {12, 14, 17, 19, 21}.
By Gauss' lemma (Apostol Theorem 9.6),
(7|23) = (−1)|T| = (−1)5 = −1.
Let n = 7, let p = 23 and let S be the set of least positive residues mod p of the first (p-1)/2
multiple of n, i.e.
n mod p, 2n mod p, ...,
2
p-1
-n mod p.
Let T be the subset of S consisting of those residues which exceed p/2.
Find the set T, and hence compute the Legendre symbol (7|23).
The first 11 multiples of 7 reduced mod 23 are
7, 14, 21, 5, 12, 19, 3, 10, 17, 1, 8.
23
The set T is the subset of these residues exceeding
2°
So T = {12, 14, 17, 19, 21}.
By Gauss' lemma (Apostol Theorem 9.6),
(7|23) = (−1)|T| = (−1)5 = −1.
how come?
Chapter 8 Solutions
Elementary Technical Mathematics
Ch. 8.1 - Complete the three ordered-pair solutions of each...Ch. 8.1 - Complete the three ordered-pair solutions of each...Ch. 8.1 - Complete the three ordered-pair solutions of each...Ch. 8.1 - Prob. 4ECh. 8.1 - Prob. 5ECh. 8.1 - Complete the three ordered-pair solutions of each...Ch. 8.1 - Prob. 7ECh. 8.1 - Prob. 8ECh. 8.1 - Prob. 9ECh. 8.1 - Prob. 10E
Ch. 8.1 - Complete the three ordered-pair solutions of each...Ch. 8.1 - Prob. 12ECh. 8.1 - Prob. 13ECh. 8.1 - Prob. 14ECh. 8.1 - Complete the three ordered-pair solutions of each...Ch. 8.1 - Complete the three ordered-pair solutions of each...Ch. 8.1 - Prob. 17ECh. 8.1 - Prob. 18ECh. 8.1 - Complete the three ordered-pair solutions of each...Ch. 8.1 - Prob. 20ECh. 8.1 - Prob. 21ECh. 8.1 - Prob. 22ECh. 8.1 - Prob. 23ECh. 8.1 - Prob. 24ECh. 8.1 - Prob. 25ECh. 8.1 - Solve for y in terms of x: 4x+5y=10Ch. 8.1 - Prob. 27ECh. 8.1 - Solve for y in terms of x: 2x+2y=5Ch. 8.1 - Prob. 29ECh. 8.1 - Prob. 30ECh. 8.1 - Prob. 31ECh. 8.1 - Prob. 32ECh. 8.1 - Prob. 33ECh. 8.1 - Prob. 34ECh. 8.1 - Prob. 35ECh. 8.1 - Prob. 36ECh. 8.1 - Prob. 37ECh. 8.1 - Write the ordered pair corresponding to each point...Ch. 8.1 - Prob. 39ECh. 8.1 - Prob. 40ECh. 8.1 - Prob. 41ECh. 8.1 - Prob. 42ECh. 8.1 - Prob. 43ECh. 8.1 - Prob. 44ECh. 8.1 - Prob. 45ECh. 8.1 - Write the ordered pair corresponding to each point...Ch. 8.1 - Prob. 47ECh. 8.1 - Prob. 48ECh. 8.1 - Prob. 49ECh. 8.1 - Prob. 50ECh. 8.1 - Prob. 51ECh. 8.1 - Prob. 52ECh. 8.1 - Prob. 53ECh. 8.1 - Plot each point in the number plane. Label each...Ch. 8.1 - Plot each point in the number plane. Label each...Ch. 8.1 - Plot each point in the number plane. Label each...Ch. 8.1 - Plot each point in the number plane. Label each...Ch. 8.1 - Plot each point in the number plane. Label each...Ch. 8.1 - Plot each point in the number plane. Label each...Ch. 8.1 - Plot each point in the number plane. Label each...Ch. 8.1 - Plot each point in the number plane. Label each...Ch. 8.1 - Plot each point in the number plane. Label each...Ch. 8.1 - Prob. 63ECh. 8.1 - Prob. 64ECh. 8.1 - Prob. 65ECh. 8.1 - Prob. 66ECh. 8.2 - Draw the graph of each equation: x+y=7Ch. 8.2 - Prob. 2ECh. 8.2 - Prob. 3ECh. 8.2 - Prob. 4ECh. 8.2 - Prob. 5ECh. 8.2 - Prob. 6ECh. 8.2 - Prob. 7ECh. 8.2 - Draw the graph of each equation: 2x+3y=9Ch. 8.2 - Prob. 9ECh. 8.2 - Prob. 10ECh. 8.2 - Draw the graph of each equation: 5x+4y=20Ch. 8.2 - Prob. 12ECh. 8.2 - Prob. 13ECh. 8.2 - Prob. 14ECh. 8.2 - Prob. 15ECh. 8.2 - Prob. 16ECh. 8.2 - Draw the graph of each equation: 3x+5y=11Ch. 8.2 - Prob. 18ECh. 8.2 - Prob. 19ECh. 8.2 - Prob. 20ECh. 8.2 - Draw the graph of each equation: y=3Ch. 8.2 - Prob. 22ECh. 8.2 - Prob. 23ECh. 8.2 - Prob. 24ECh. 8.2 - Prob. 25ECh. 8.2 - Prob. 26ECh. 8.2 - Prob. 27ECh. 8.2 - Prob. 28ECh. 8.2 - Prob. 29ECh. 8.2 - Prob. 30ECh. 8.2 - Identify the independent and dependent variables...Ch. 8.2 - Prob. 32ECh. 8.2 - Prob. 33ECh. 8.2 - Prob. 34ECh. 8.2 - Prob. 35ECh. 8.2 - Prob. 36ECh. 8.2 - Prob. 37ECh. 8.2 - Prob. 38ECh. 8.2 - Prob. 39ECh. 8.2 - Identify the independent and dependent variables...Ch. 8.2 - Prob. 41ECh. 8.2 - The voltage, v (in mV), in an electrical circuit...Ch. 8.2 - The resistance, R, in an electrical circuit varies...Ch. 8.2 - Prob. 44ECh. 8.2 - The voltage, v, in an electrical circuit is given...Ch. 8.2 - Prob. 46ECh. 8.3 - Find the slope of the passing through each pair of...Ch. 8.3 - Prob. 2ECh. 8.3 - Prob. 3ECh. 8.3 - Prob. 4ECh. 8.3 - Prob. 5ECh. 8.3 - Find the slope of the passing through each pair of...Ch. 8.3 - Prob. 7ECh. 8.3 - Prob. 8ECh. 8.3 - Prob. 9ECh. 8.3 - Prob. 10ECh. 8.3 - Prob. 11ECh. 8.3 - Prob. 12ECh. 8.3 - Prob. 13ECh. 8.3 - Prob. 14ECh. 8.3 - Prob. 15ECh. 8.3 - Prob. 16ECh. 8.3 - Prob. 17ECh. 8.3 - Prob. 18ECh. 8.3 - Find the slope of each line: y=6x+2Ch. 8.3 - Prob. 20ECh. 8.3 - Find the slope of each line: y=5x7Ch. 8.3 - Prob. 22ECh. 8.3 - Prob. 23ECh. 8.3 - Prob. 24ECh. 8.3 - Prob. 25ECh. 8.3 - Prob. 26ECh. 8.3 - Prob. 27ECh. 8.3 - Prob. 28ECh. 8.3 - Prob. 29ECh. 8.3 - Prob. 30ECh. 8.3 - Determine whether the lines given by the equations...Ch. 8.3 - Determine whether the lines given by the equations...Ch. 8.3 - Prob. 33ECh. 8.3 - Prob. 34ECh. 8.3 - Prob. 35ECh. 8.3 - Prob. 36ECh. 8.3 - Determine whether the lines given by the equations...Ch. 8.3 - Determine whether the lines given by the equations...Ch. 8.3 - Determine whether the lines given by the equations...Ch. 8.3 - Determine whether the lines given by the equations...Ch. 8.4 - Draw the graph of each line with the given slope...Ch. 8.4 - Draw the graph of each line with the given slope...Ch. 8.4 - Prob. 3ECh. 8.4 - Prob. 4ECh. 8.4 - Prob. 5ECh. 8.4 - Prob. 6ECh. 8.4 - Prob. 7ECh. 8.4 - Prob. 8ECh. 8.4 - Prob. 9ECh. 8.4 - Prob. 10ECh. 8.4 - Prob. 11ECh. 8.4 - Prob. 12ECh. 8.4 - Prob. 13ECh. 8.4 - Prob. 14ECh. 8.4 - Prob. 15ECh. 8.4 - Prob. 16ECh. 8.4 - Prob. 17ECh. 8.4 - Draw the graph of each equation using the slope...Ch. 8.4 - Prob. 19ECh. 8.4 - Draw the graph of each equation using the slope...Ch. 8.4 - Prob. 21ECh. 8.4 - Prob. 22ECh. 8.4 - Prob. 23ECh. 8.4 - Prob. 24ECh. 8.4 - Prob. 25ECh. 8.4 - Find the equation of the line with given slope and...Ch. 8.4 - Prob. 27ECh. 8.4 - Find the equation of the line with given slope and...Ch. 8.4 - Prob. 29ECh. 8.4 - Prob. 30ECh. 8.4 - Prob. 31ECh. 8.4 - Prob. 32ECh. 8.4 - Prob. 33ECh. 8.4 - Prob. 34ECh. 8.4 - Prob. 35ECh. 8.4 - Prob. 36ECh. 8.4 - Prob. 37ECh. 8.4 - Draw the graph of the line through the given point...Ch. 8.4 - Draw the graph of the line through the given point...Ch. 8.4 - Prob. 40ECh. 8.4 - Prob. 41ECh. 8.4 - Prob. 42ECh. 8.4 - Prob. 43ECh. 8.4 - Prob. 44ECh. 8.4 - Find the equation of the line through the given...Ch. 8.4 - Find the equation of the line through the given...Ch. 8.4 - Prob. 47ECh. 8.4 - Prob. 48ECh. 8.4 - Prob. 49ECh. 8.4 - Prob. 50ECh. 8.4 - Prob. 51ECh. 8.4 - Prob. 52ECh. 8.4 - Prob. 53ECh. 8.4 - Prob. 54ECh. 8.4 - Prob. 55ECh. 8.4 - Prob. 56ECh. 8.4 - Prob. 57ECh. 8.4 - Find the equation of the line through the given...Ch. 8.4 - Find the equation of the line through the given...Ch. 8.4 - Prob. 60ECh. 8 - Prob. 1RCh. 8 - Complete the ordered-pair solution of each...Ch. 8 - Solve for y: 6x+y=15.Ch. 8 - Solve For y:3x5y=10.Ch. 8 - Write the ordered pair corresponding to each point...Ch. 8 - Write the ordered pair corresponding to each point...Ch. 8 - Write the ordered pair corresponding to each point...Ch. 8 - Write the ordered pair corresponding to each point...Ch. 8 - Plot each point in the number plane. Label each...Ch. 8 - Prob. 10RCh. 8 - Prob. 11RCh. 8 - Prob. 12RCh. 8 - Draw the graph of each equation: x+y=8Ch. 8 - Prob. 14RCh. 8 - Draw the graph of each equation: 3x+6y=12Ch. 8 - Draw the graph of each equation: 4x5y=15Ch. 8 - Prob. 17RCh. 8 - Prob. 18RCh. 8 - Draw the graph of each equation: x=6Ch. 8 - Draw the graph of each equation: y=7Ch. 8 - Find the slope of the line passing through each...Ch. 8 - Find the slope of the line passing through each...Ch. 8 - Prob. 23RCh. 8 - Prob. 24RCh. 8 - Prob. 25RCh. 8 - Prob. 26RCh. 8 - Prob. 27RCh. 8 - Prob. 28RCh. 8 - Prob. 29RCh. 8 - Prob. 30RCh. 8 - Prob. 31RCh. 8 - Prob. 32RCh. 8 - Prob. 33RCh. 8 - Prob. 34RCh. 8 - Prob. 35RCh. 8 - Prob. 36RCh. 8 - Prob. 37RCh. 8 - Prob. 38RCh. 8 - Find the equation of the line through the given...Ch. 8 - Find the equation of the line through the given...Ch. 8 - Prob. 41RCh. 8 - Find the equation of the line through the given...Ch. 8 - Given the equation 3x4y=24, complete each ordered...Ch. 8 - Given the equation 3x4y=24, complete each ordered...Ch. 8 - Prob. 3TCh. 8 - Write the ordered pair corresponding to each point...Ch. 8 - Prob. 5TCh. 8 - Prob. 6TCh. 8 - Prob. 7TCh. 8 - Prob. 8TCh. 8 - Prob. 9TCh. 8 - Find the slope of each line: y=3x2Ch. 8 - Prob. 11TCh. 8 - Prob. 12TCh. 8 - Prob. 13TCh. 8 - Prob. 14TCh. 8 - Prob. 15TCh. 8 - Draw the graph of the line y=12x+4, using its...Ch. 8 - Prob. 1CRCh. 8 - Prob. 2CRCh. 8 - Prob. 3CRCh. 8 - Prob. 4CRCh. 8 - Prob. 5CRCh. 8 - Prob. 6CRCh. 8 - Prob. 7CRCh. 8 - Read the measurement shown on the metric...Ch. 8 - Prob. 9CRCh. 8 - Prob. 10CRCh. 8 - Prob. 11CRCh. 8 - Prob. 12CRCh. 8 - Prob. 13CRCh. 8 - Solve: 2x3+15=x423Ch. 8 - Prob. 15CRCh. 8 - Prob. 16CRCh. 8 - Prob. 17CRCh. 8 - Prob. 18CRCh. 8 - Prob. 19CRCh. 8 - Prob. 20CRCh. 8 - Prob. 21CRCh. 8 - Prob. 22CRCh. 8 - Prob. 23CRCh. 8 - Prob. 24CRCh. 8 - Prob. 25CRCh. 8 - Prob. 26CRCh. 8 - Prob. 27CRCh. 8 - Prob. 28CRCh. 8 - Prob. 29CRCh. 8 - Determine whether the graphs of 2x3y=6 and 3x+5y=7...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- Shading a Venn diagram with 3 sets: Unions, intersections, and... The Venn diagram shows sets A, B, C, and the universal set U. Shade (CUA)' n B on the Venn diagram. U Explanation Check A- B Q Search 田arrow_forward3. A different 7-Eleven has a bank of slurpee fountain heads. Their available flavors are as follows: Mountain Dew, Mountain Dew Code Red, Grape, Pepsi and Mountain Dew Livewire. You fill five different cups full with each type of flavor. How many different ways can you arrange the cups in a line if exactly two Mountain Dew flavors are next to each other? 3.2.1arrow_forwardBusinessarrow_forward
- Please explain how come of X2(n).arrow_forwardNo chatgpt pls will upvotearrow_forwardFind all solutions of the polynomial congruence x²+4x+1 = 0 (mod 143). (The solutions of the congruence x² + 4x+1=0 (mod 11) are x = 3,4 (mod 11) and the solutions of the congruence x² +4x+1 = 0 (mod 13) are x = 2,7 (mod 13).)arrow_forward
- https://www.hawkeslearning.com/Statistics/dbs2/datasets.htmlarrow_forwardDetermine whether each function is an injection and determine whether each is a surjection.The notation Z_(n) refers to the set {0,1,2,...,n-1}. For example, Z_(4)={0,1,2,3}. f: Z_(6) -> Z_(6) defined by f(x)=x^(2)+4(mod6). g: Z_(5) -> Z_(5) defined by g(x)=x^(2)-11(mod5). h: Z*Z -> Z defined by h(x,y)=x+2y. j: R-{3} -> R defined by j(x)=(4x)/(x-3).arrow_forwardDetermine whether each function is an injection and determine whether each is a surjection.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
- Elementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice UniversityHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL

College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning

Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell


Elementary Algebra
Algebra
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:OpenStax - Rice University

Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Points, Lines, Planes, Segments, & Rays - Collinear vs Coplanar Points - Geometry; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=dDWjhRfBsKM;License: Standard YouTube License, CC-BY
Naming Points, Lines, and Planes; Author: Florida PASS Program;https://www.youtube.com/watch?v=F-LxiLSSaLg;License: Standard YouTube License, CC-BY