MyLab Math with Pearson eText -- Access Card -- for Using & Understanding Mathematics with Integrated Review

7th Edition

ISBN: 9780134715865

Author: Jeffrey O. Bennett, William L. Briggs

Publisher: PEARSON

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

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Textbook Question

Chapter 1.E, Problem 13E

Reading a Ballot Initiative. Consider the following ballot initiative, which appeared in the 2010 statewide elections in Oklahoma and was passed.

This measure... requires that each person appearing to vote present a document proving their identity. The document must meet the following requirements. lt must have the name and photograph of the voter. It must have been issued by the federal, state, or tribal government. It must have an expiration date that is after the date of the election. No expiration date would be required on certain identity cards issued to person 65 years of age or older. In lieu of such a document, voters could present voter identification cards issued by the County Election Board. A person who cannot or does not present the required identification may sign a sworn statement and cast provisional ballot.

a. According to the initiative, would a state driver's license allow a person to vote?

b. According to the initiative, would a (federal) Social Security card allow a person to vote?

c. Without a "document proving their identity," what options for voting do citizens have?

d. What documents are required to obtain a voter identification card?

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Chapter 1.E, Problem 12E

Chapter 1.E, Problem 14E

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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 1 Solutions

MyLab Math with Pearson eText -- Access Card -- for Using & Understanding Mathematics with Integrated Review

Ch. 1.A - Prob. 1QQ Ch. 1.A - A fallacy is a. a statement that is untrue. b. a...Ch. 1.A - Which of the following could not qualify as a...Ch. 1.A - An argument in which the conclusion essentially...Ch. 1.A - The fallacy of appeal to ignorance occurs when a....Ch. 1.A - Consider the argument ‘‘I don’t support the...Ch. 1.A - Consider again the argument ‘‘I don’t support the...Ch. 1.A - Prob. 8QQ Ch. 1.A - Suppose that the fact that an event A occurs...Ch. 1.A - When we speak of a straw man in an argument, we...

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