List the members of the equivalence relation on the set {1, 2, 3, 4} defined by the given partition { {1}, {2, 4}, {3} }. Also, find the equivalence classes [1], [2], [3], and [4].
23,689 results
MATH
Check It For Me Pleaseee Question 1 A) How do you know whether a relation is a function?(1 point) By determining if each value from one set maps to another set such that each element of the domain pairs with exactly two elements of the range. By

Discrete Math
Which of these relations on {0, 1, 2, 3} are equivalence relations? Justify the relation(s) that are not equivalent. R1: {(0,0), (1,1), (2,2), (3,3)} R2: {(0,0), (1,1), (1,3), (2,2), (2,3), (3,1), (3,2), (3,3)} R3: {(0,0), (0,1), (0,2), (1,0), (1,1),

chemistry
Which of the following statements is true concerning the titration of a weak base by a solution of hydrochloric acid? Question 9 options: At the equivalence point, the pH is 7. At the equivalence point, there is excess hydrochloric acid. At the equivalence

Maths
if relation r1 and r2 from set A to set B are defined as r1{(1,2),(3,4),(5,6)} and r2 ={(2,1),(4,3),(6,5)}, then n(AXB) Options A)35 B)91 C)53 D)55

Discrete Math
Consider the following relations on R, the set of real numbers a. R1: x, y ∈ R if and only if x = y. b. R2: x, y ∈ R if and only if x ≥ y. c. R3 : x, y ∈ R if and only if xy < 0. Determine whether or not each relation is flexible, symmetric,

Chemistry
35.0 mL of a 0.250 M solution of KOH is titrated with 0.150 M HCl. After 35.0 mL of the HCl has been added, the resultant solution is: A) Acidic and after the equivalence point B) Basic and after the equivalence point C) Neutral and at the equivalence

Maths
if relation r1 and r2 from set A to set B are defined as r1{(1,2),(3,4),(5,6)} and r2 ={(2,1),(4,3),(6,5)}, then n(AXB)

World Geography
Which statements describe the geographic theme of regions? a. Different types of regions have little or no effect upon each other. b. Climate regions are defined by their average temperature and their political system. c. Physical regions can be formed by

AP Chemistry
Assume that 30.0 mL of a 0.10 M solution of a weak base B that accepts one proton is titrated with a 0.10 M solution of a monoprotic strong acid HX. (a) How many moles of HX have been added at the equivalence point? (b) What is the predominant form of B at

Math
The local reader’s club has a set of 64 hardback books and a set of 24 paperbacks. Each set can be divided equally among the club members. What is the greatest possible number of club members? A. 6 B. 192 C. 12 D. 8

math
The local reader’s club has a set of 36 hardback books and a set of 30 paperbacks. Each set can be divided equally among the club members. What is the greatest possible number of club members?

Discrete Math
Consider the following relation on R1, the set of real numbers R1 = {(1,1), (1,2), (2,1), (2,2), (3,3), (4,4), (3,2), (2,3)} Determine whether or not each relation is flexible, symmetric, antisymmetric, or transitive. * Reflexive because the relation

chemistryyy
Answer the following two questions about the equivalence point for the titration of 27.8 mL of 0.235 M hypobromous acid (pKa = 8.64) with 0.214 M KOH. 1)Predict if the solution will be acidic, basic or neutral at the equivalence point. 2)Calculate the pH

Math
Let R1 be a binary relation on the set of integers defined as follows: R1 = {(x, y) / 4 divides x – y}. Determine whether the given relation R1 is an equivalence relation on the set {1, 2, 3, 4, 5}.

Geometry
Congruent triangles have a relation. Which is not an equivalence relation? ________________________________________ A reflexive B symmetric C distributive D transitive

government
why does the constitution guarantee that the courts may not prosecute members of congress for what they say in the house or senate in relation to congressional business? a. members never criticize one another b. freedom of speech is a vital part of

maths
Suppose that a state university has to form a committee of 5 members from a list of 20 candidates out of whom 12 are teachers and 8 are students.If members of the committee are selected at random,what is the probability that the majority of the committee

math
1. List the elements of the following sets: A. V is the vowel of english alphabet B. C is the set of number between 5 and 10 C. T is the set of days of the year D. P is the set of prime number from 2 to 10 E. F is the set of factors of 12

Math  Averages
Set X is defined as {6,12, 4, 0, 7, 9, 1, 2, 5}. If r is the range of set X, and m is the median of the set X, what is the value of r  m ?

Chemisty
In titrations of acids and bases, what is the difference between the end point of the titration, and the equivalance point? Also, what is chemically occuring during the buffer zone? Thanks! Good question and one that students sometimes have trouble with.

Math
The relation R on {1,2,3,...} where aRb means a/b for reflexive, symmetric, antisymmetric or transitive in the binary family. Also, the relation R on the set of all pepole where aRB means that a is at least as tall as b. Where is the releation R on N where

Reply to Yorkie16
Original qustion posted here: http://www.jiskha.com/display.cgi?id=1239379999 If you do computations Modulo some number, say Modulo 11, then you identify numbers from the ordinary number system that differ by a mulitple of 11. A rigorous mathematical

Math
List the members of the equivalence relation on the set {1, 2, 3, 4} defined by the given partition { {1}, {2, 4}, {3} }. Also, find the equivalence classes [1], [2], [3], and [4].

MATH help please
Let R be the relation on ℤ+×ℤ+ defined by (a,b)R(c,d) if and only if a−2d=c−2b. (a) prove that R is an equivalence relation (b) list all elements of the equivalence class [(3,3)] (c) find an equivalence class that has exactly 271 elements. (d) is

Math
Suppose R is the relation on N where aRb means that a ends in the same digit in which b ends. Determine whether R is an equivalence relation on N. And, Suppose that R and S are equivalence relations on a set A. Prove that the R ¿ S is also an

Discrete Math
a) Show that the relation R on Z x Z defined by (a , b) R (c, d) if and only if a + d = b + c is an equivalence relation. b) Show that a subset of an anti symmetric relation is also anti symmetric. c) Suppose that R is a symmetric relation on a set A. Is R

math
For the set X={m,n.p,q,r,s}, let R be the relation on P(X) (power set) given by A R B iff A and B have the same number of elements. List all the elements in {m}/R (equivalence class); in {m,n,p,q,r,s}/R. How many elements are in X/R? How many elements are

Math
Call a relation R “orbital” if x R yand y R zimply z R x. Prove that R is an equivalence relation if and only R is both reflexive and orbital. (Note that this is an “if and only if” statement, which is biconditional. So there are actually two

Math
Call a relation R “orbital” if xRy and yRz imply zRx. Prove that R is an equivalence relation if and only R is both reflexive and orbital. (Note that this is an “if and only if” statement, which is biconditional. So there are actually two

math
indicates required items An operation * is defined by the relation x*y = 5x + 3y – 4xy. Evaluate [2*(1) ] A. 15 B. 10 C. 8 D. 3 A B C D An operation * is defined by the relation x*y = 5x + 3y – 4xy. Evaluate (3*2)*4 A. 15 B. 45 C. 48 D. 12 A B C D

Math: Equivalence Classes
Let R be the relation on ℤ+×ℤ+ defined by (a,b)R(c,d) if and only if a−2d=c−2b. 1. Find an equivalence class that has exactly 271 elements. 2. Is it true that for every positive integer n, there is an equivalence class that contains exactly n

DISCRETE MATH
We have a relation R on Z+ defined as follows: mRn if and only if mn. Determine the set B = {n ∈ Z52Rn}. Thanks

geometry
Congruent triangles have a relation. Which is not an equivalence relation? ________________________________________ A reflexive B symmetric C distributive D transitive

algebra
Let U = {1, 2, 3, 4, 5, 6, 7}, A = {1, 2, 3, 4}, B = {1, 2, 5, 6}, and C = {3, 5, 7}. List all the members of the given set. (Enter your answers as a commaseparated list.)

math
Let U = {7, 8, 9, 10, 11, 12, 13}, A = {7, 8, 9, 10}, B = {7, 8, 11, 12}, and C = {9, 11, 13}. List all the members of the given set. A ∪ (B ∩ C)

math
Let U = {7, 8, 9, 10, 11, 12, 13}, A = {7, 8, 9, 10}, B = {7, 8, 11, 12}, and C = {9, 11, 13}. List all the members of the given set. A ∪ (B ∩ C)

answer not clear
Let U = {7, 8, 9, 10, 11, 12, 13}, A = {7, 8, 9, 10}, B = {7, 8, 11, 12}, and C = {9, 11, 13}. List all the members of the given set. A ∪ (B ∩ C)

math
Let U = {7, 8, 9, 10, 11, 12, 13}, A = {7, 8, 9, 10}, B = {7, 8, 11, 12}, and C = {9, 11, 13}. List all the members of the given set.  A ∪ (B ∩ C)

Government.
Why does the Constitution guarantee that the courts cannot prosecute members of Congress for what they say in the House or Senate in relation to congressional business? a  Members never criticize one another. b  Freedom of speech is a vital part of

Geometry and Discrete Mathematics (Proofs)
Observe that the last two digits of 7^2 are 49, the last two digits of 7^3 are 43, the last two digits of 7^4 are 01, and the last two digits of 7^5 are 07. Prove that the last two digits of 7^201 are 07. 7^2 = ...49 7^3 = ...43 7^4 = ...01 7^5 = ...07

Pre Cal.
Given that x is an integer between 2 and 2, state the relation represented by the equation y = 2abs(x) by listing a set of ordered pairs. Then state whether the relation is a function. I think it's: (2,0) (1,1) (0,2) (1,1) (2,0)

Sets & Probability
Let S be the universal set, where: S={1,2,3,...,18,19,20} Let sets A and B be subsets of S, where: Set A={2,3,5,7,10,11,12,14,16,17,18,19,20} Set B={1,5,8,10,11,12,16,17,19,20} LIST the elements in the set (A∪B): LIST the elements in the set (A∩B) = {

Set Theory
1)An operation* is defined by the relation x*y = 5x + 3y  4xy Evaluate i) (2*(1)) ii) (3*2)*4

Elementary Set Theory
An operation * is defined by the relation x*y = 5x + 3y  4xy Evaluate (3*2)*4

recreational math, music
How would you go about listing all of the integer ratios, preferably in a spreadsheet? I would like to have them listed in ascending order by the product of the numerator and the denominator, because in music, more "complex" ratios produce more dissonance.

History on Middle Ages(PLEASE HELP NOW)
I am back AGAIN. 1. Guilds did all of the following except a. vote on religious issues that affected trade. b. set prices and prevented outsiders from selling goods in town. c. set standards for the quality of their goods. d. pay dues that helped support

PreCalculus
Given that x is an integer, state the relation represented by absolute value y = x/2 and 0 is less than or equal to x which is less than or equal to 2 by listing a set of ordered pairs. Then state whether the relation is a function. Write yes or no. Please

Chemistry
How do you figure equivalence volume? Do I add up all of the additions during my lab up to the point I am measuring (color change) to get the equivalence volume? I guess I am confused when it says calculate the equivalence volume, maybe it is very simply.

Chemistry
35.0 mL of a 0.250 M solution of KOH is titrated with 0.150 M HCl. After 35.0 mL of the HCl has been added, the resultant solution is: A) Acidic and after the equivalence point B) Basic and after the equivalence point C) Neutral and at the equivalence

Math
Set Q is defined as odd integers from 1 to 2000. How many ordered pairs (a,b) are there in set Q whereby a

Chemistry
A 40.00 mL sample of 0.1 M NH3 is titrated with 0.150 M HCl solution. Kb = 1.8 * 10^5 What volume of base is required to reach the equivalence point? What is the ammonium ion concentration at the equivalence point? What is the pH of the solution at the

chemistryyy
Answer the following two questions about the equivalence point for the titration of 27.8 mL of 0.235 M hypobromous acid (pKa = 8.64) with 0.214 M KOH. 1)Predict if the solution will be acidic, basic or neutral at the equivalence point. 2)Calculate the pH

Math
Sets A, B, and C have 6 members in common. Sets A and B have a total of 17 members in common. Sets B and C have a total of 10 members in common. If each member of set B is contained in at least one of the other two sets, how many members are in set B?

algebra
what is the meaning of reflexive relation? And is {(1,1),(2,2),(3,3),(1,3)} is reflexive relation in the set A={1,2,3}?

chemistry
if 0.4M NaOH is titrated with 0.4M HF, how do we calcualte the ph at equivalence. The book assumes each is 1L, but why do we use 1L * chemistry  Dr.Jim, Thursday, November 11, 2010 at 5:31am HF is a weak acid, so you need the dissociation constant. The pH

algebra 2
List the domain and range and determine whether the relation is a function.(2,4)(4,2)(1,3)(0,3)

College Chemistry
Consider the titration of 29.00 mL of aqueous ammonia with 18.70 mL of 0.1250 M HCl (aq). Kb for NH3 (aq) is 1.8 x 10^5. A.) What is the formula of the solute at the equivalence point? B.) What is the balanced equation for the ionization of the cation of

Data Management
List all permutations of the elements of the set {+, , *) List all subsets (combinations) of the elements of the set {+, , *)

Discrete Mathematics. Need Help
Let A be the set of all ordered pairs of positive integers and R be the relation defined on A where (a,b)R(c,d) means that ba=dc. a)Show that R is an equivalence relation. b)Find [(3, 5)] and [(7, 1)].

Maths
Show that the relation R defined on set A of all polygons as R={(P1,P2):P1 and P2 have same number of sides},Is an equivalence relation. What is the set of all elements in A related to the right angle triangle T with sides 3,4,5?

Math
"Decide whether the following relations on Z is an equivalence relation or not. If it is, describe the partition (i.e. the equivalence classes) of Z created by the relation."  What does it mean by "describe the partition..."? For example, let a, b be

DISCRETE MATH
We have a relation R on Z+ defined as follows: mRn if and only if mn. a. Explain why the relation R is not a function. b. Determine the set A = {m ∈ ZmR52} and give its cardinality A. c. Determine the set B = {n ∈ Z52Rn}. d. Indicate whether A ∩

Discreet Mathematics
Part I: Suppose you are developing a statistical database in which information about professional football teams and records are stored. Consider the following 2 sets of data that list football teams and quarterbacks: D = {Jets, Giants, Cowboys, 49’ers,

Math
Call a relation R “orbital” if xRy and yRz imply zRx. Prove that R is an equivalence relation if and only R is both reflexive and orbital. (Note that this is an “if and only if” statement, which is biconditional. So there are actually two

Math
Call a relation R “orbital” if xRy and yRz imply zRx. Prove that R is an equivalence relation if and only R is both reflexive and orbital. (Note that this is an “if and only if” statement, which is biconditional. So there are actually two

math
Let U = {9, 10, 11, 12, 13, 14, 15}, A = {9, 10, 11, 12}, B = {9, 10, 13, 14}, and C = {11, 13, 15}. List all the members of the given set. (Enter your answers as a commaseparated list.) (A ¾ B) ¿ C

MATH
Let U = {1, 2, 3, 4, 5, 6, 7}, A = {1, 2, 3, 4}, B = {1, 2, 5, 6}, and C = {3, 5, 7}. List all the members of the given set. (Enter your answers as a commaseparated list.) (A ∪ B) ∩ C

MATH
Let U = {3, 4, 5, 6, 7, 8, 9}, A = {3, 4, 5, 6}, B = {3, 4, 7, 8}, and C = {5, 7, 9}. List all the members of the given set. (Enter your answers as a commaseparated list.) A ∪ (B ∩ C)

database
Given the Relational Model Notation below, extend it to define UNIQUE and NONUNIQUE indexes for relations. The uppercase letters Q, R, S denote relation names. ■ The lowercase letters q, r, s denote relation states. ■ The letters t, u, v denote

database
Given the Relational Model Notation below (in pages 156157 of your book), extend it to define UNIQUE and NONUNIQUE indexes for relations. The uppercase letters Q, R, S denote relation names. ■ The lowercase letters q, r, s denote relation states. ■

Maths
The relation f is defined by f(x)={x²,0

Math
Call a relation R “orbital” if x R yand y R zimply z R x. Prove that R is an equivalence relation if and only R is both reflexive and orbital. (Note that this is an “if and only if” statement, which is biconditional. So there are actually two

Math
Given the following partition of the set A = { 6, 7, 8, 9, 10, 11 }. Find the associated relation { [6, 7, 8], [10], [9, 11] }. What I understand is that a relation must be transitive, reflexive, and symmetric. How could I show that set A exhibits these

MATH
Let U = {1, 2, 3, 4, 5, 6, 7}, A = {1, 2, 3, 4}, B = {1, 2, 5, 6}, and C = {3, 5, 7}. List all the members of the given set.

Math
The local reader’s club has a set of 36 hardback books and a set of 30 paperbacks. Each set can be divided equally among the club members. What is the greatest possible number of club members? A.5* B.6 C.30 D.180

math
The local reader’s club has a set of 36 hardback books and a set of 30 paperbacks. Each set can be divided equally among the club members. What is the greatest possible number of club members? A. 5 B. 6 C. 30 D. 180

MAth
The local reader’s club has a set of 36 hardback books and a set of 30 paperbacks. Each set can be divided equally among the club members. What is the greatest possible number of club members?

math
Let R be a relation on A={2,3,4,6,9} defined by "x is relatively prime to y", that is the only positive divisor or x and y is 1. a)write R as an ordered pair b)Draw a diagraph representing R c)Find the indegree and the outdegree of each vertex d)List all

mathematics
Let A = (1,2,5) B = {1,2,4,5,6,8} and the relation R is "less than or equal to."Representing the relation BRA in set gives??? Please show me work

math
let A be defined as the set of all two digit integers that are more than 20 and let P be defined as the set of all prime numbers .how many numbers are there that belong to both these sets? 1.13 2.17 3.21 4.25 explain the ans please

algebra
Let R={(x,y)∈R×R│⟦3x⟧=⟦3y⟧}, where ⟦x⟧ ┤ denotes the greatest integer less than or equal to x. Show that R is an equivalence relation on R. Determine R⁄R .

Discrete Structures
Consider the divisibility relation on the set S = {5,3,2,2,3,5} To be more precise, this is the relation: R = {(x, y) ∈ S^2 x divides y}. Is the relation Reflexive? Symmetric? Antisymmetric? Transitive?  The relation is

Math help!!!
The members of the Farrell family are Mona, the mother; Scott, the father; Kellie, Katie, Kristin, and Karen, the daughter ; and Kyle the son Consider the ordered pairs (x,y) where x is the mother of y. A.. List the ordered pairs in this set B.. If you are

Math
The members of the Farrell family are Mona, the mother; Scott, the father; Kellie, Katie, Kristin, and Karen, the daughter ; and Kyle the son Consider the ordered pairs (x,y) where x is the mother of y. A.. List the ordered pairs in this set B.. If you are

Math
The members of the Farrell family are Mona, the mother; Scott, the father; Kellie, Katie, Kristin, and Karen, the daughter ; and Kyle the son Consider the ordered pairs (x,y) where x is the mother of y. A.. List the ordered pairs in this set B.. If you are

math,Computer
Let A and B be two data lists. Concatenation of the list A and another list B is defined to be equal to B, if A is null; and is defined to be equal to concatenation of head of A with the concatenation of tail of A and B, otherwise (where head of A is the

algebra
Hello there can someone help me check these 2 questions please. 1. Determine if the set of points (−1,3), (2,5), (3,8), and (4,5) is a function. Explain. A. The set of points is a function because each value in the domain corresponds to exactly one value

Quantitative methods for business
Suppose that a state university has to form a committee of 5 members from a list of 20 candidates out of whom 12 are teachers and 8 are students.If members of the committee are selected at random, what is the probability that the majority of the committee

maths
Suppose that a state university has to form a committee of 5 members from a list of 20 candidates out of whom 12 are teachers and 8 are students.If members of the committee are selected at random,what is the probability that the majority of the committee

Databases
For each, compute the ’follow from’ for each given FD o Make a list of all BCNF violations with one attribute on the righthand side o Decompose each relation into a set of equivalent BCNF relations 1. R = (A,B, C, D, E) Fds: A→B C→D 2. R = (A, B,

math
1. There are many ways to describe relations and function. Consider the relation shown as a set of ordered pairs: {(2,3),( −1,5),(4,3),(0,5),(3, −2)} a. Describe this relation in three different ways:

Algebra(please check my answers)
**Choose the Vocab word that best fits the given sentences** ~Word Bank~ A)slope B)domain C)vertical line test D)function E)negative correlation F)solution G)range H)linear equation ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ GIVEN QUESTIONS W/ MY ANSWERS 1.

Maths
A sequence {ai}is defined by the recurrence relation an=40−4an−1 with a0=−4. There exists real valued constants r,s and t such that ai=r⋅si+t for all nonnegative integers i. Determine r2+s2+t2.

Chemistry
Consider the titration of 20.00 mL of 0.1728 M Ascorbic acid (Ka = 7.9 x 105) with 0.4329 M NaOH. Match the following regions in the titration curve with the appropriate pH range. 1.Initial pH 2.Before equivalence point 3.At equivalence point 4.After

Math
18. The mean is defined as the A. range of the data set. B. average of a data set. C. middle of the data set. D. number that shows up most often in a data set.

Math
The ycoordinates of the set of points on a graph. Also, the ycoordinates of a given set of ordered pairs. The range is the output in a function or a relation.

Math
Let n be any counting number. Using the two questions above as a guide, how many subsets does the set {1,2,3,...,n−1,n} have? Prove it as well. First question:Including itself, how many subsets does the set {1, 2, 3} have? List them. Second Question:

Math
Consider the universal set U = (x is an element of N/3 < x < 13), and the subsets A= (multiples of 3) and B =(4,6,12) a. List the elements of the following set. A b. List the elements of the following set. *the intersection of A and B' c. write down one

Math
The median and mode are equal for this set of seven whole numbers: {1, 3, 4, 5, 6, 11, x}. The mean is also one of the six known members of the set. What is the value of x?

Chemistry
The number of moles NaOH needed to reach the equivalence point is mol, which means we must add liters of NaOH. The total volume of solution at the equivalence point will be liters. From the above information, the molarity of NaF at the equivalence point is