Solutions for Mathematical Excursions (Looseleaf)
Problem 1RE:
Determine whether the argument is an example of inductive reasoning or deductive reasoning. All...Problem 2RE:
Determine whether the argument is an example of inductive reasoning or deductive reasoning. Samantha...Problem 3RE:
Determine whether the argument is an example of inductive reasoning or deductive reasoning. We had...Problem 4RE:
Determine whether the argument is an example of inductive reasoning or deductive reasoning. All...Problem 5RE:
Find a counterexample to show that the following conjecture is false. Conjecture: For all numbers...Problem 6RE:
Find a counterexample to show that the following conjecture is false. Conjecture: For all counting...Problem 7RE:
Find a counterexample to show that the following conjecture is false. Conjecture: For all numbers...Problem 8RE:
Find a counterexample to show that the following conjecture is false. Conjecture: For numbers a and...Problem 9RE:
Use a difference table to predict the next term of each sequence. a. 2,2,12,28,50,78,? b....Problem 10RE:
Use a difference table to predict the next term of each sequence. a. 5,6,3,4,15,30,49,? b....Problem 11RE:
A sequence has an nth-term formula of an=4n2n2. Use the nth-term formula to determine the first five...Problem 12RE:
The first six terms of the Fibonacci sequence are: 1,1,2,3,5,and8. Determine the 11th and 12th terms...Problem 17RE:
Polyas Problem-Solving Strategy Solve each problem using Polya's four-step problem- solving...Problem 18RE:
Polyas Problem-Solving Strategy Solve each problem using Polya's four-step problem- solving...Problem 19RE:
Polyas Problem-Solving Strategy Solve each problem using Polya's four-step problem- solving...Problem 20RE:
Polyas Problem-Solving Strategy Solve each problem using Polya's four-step problem- solving...Problem 21RE:
Polyas Problem-Solving Strategy Solve each problem using Polya's four-step problem- solving...Problem 22RE:
Polyas Problem-Solving Strategy Solve each problem using Polya's four-step problem- solving...Problem 23RE:
Strategies List five strategies that are included in Polya's second step (device a plan).Problem 24RE:
Strategies List three strategies that are included in Polya's fourth step (review the solution).Problem 25RE:
Match Students with Their Major Michael, Clarissa, Reggie, and Ellen are attending Florida State...Problem 26RE:
Little League Baseball Each of the Little League teams in a small rural community is sponsored by a...Problem 28RE:
Find a Route The following map shows the 10 bridges and 3 islands between the suburbs of North Bay...Problem 29RE:
Areas of Rectangles Two perpendicular line segment partition the interior of a rectangle into four...Problem 30RE:
Use a Pattern in Make Predictions Consider the following figures. Figure a1 consists of two line...Problem 31RE:
A Cryptarithm In the following addition problem, each letter represents one of the digits...Problem 32RE:
Make Change In how many different ways can change be made for a dollar using only quarters and/or...Problem 33RE:
Counting Problem In how many different orders can a basketball team win exactly three out of their...Problem 36RE:
Verify a Conjecture Use deductive reasoning to show that the following procedure always produces a...Problem 37RE:
Explain why 2004 nickels are worth more than 100.Problem 38RE:
Gasoline Prices The following bar graph shows the average U.S. unleaded regular gasoline prices for...Problem 39RE:
Super Bowl Ad Price The following graph shows the price for a 30-second Super Bowl ad from 2008 to...Problem 40RE:
Search Engine Rankings The following circle graph shows the percent of the 18.6 billion U.S....Problem 41RE:
Palindromic Numbers Recall that palindromic numbers read the same from left to right as they read...Problem 42RE:
Narcissistic Number A narcissistic number is a two digit natural number that is equal to the sum of...Problem 43RE:
Number of Intersections Two different lines can intersect in at most one point. Three different...Problem 45RE:
A Numerical Pattern A student has noticed the following pattern. 91=9 has 1 digit. 92=81 has 2...Problem 1T:
Inductive vs. Deductive Reasoning Determine whether the argument is an example of inductive...Problem 2T:
Inductive vs. Deductive Reasoning Determine whether the argument is an example of inductive...Problem 3T:
Use a difference table to predict the next term in the sequence 1,0,9,32,75,144,245,....Problem 5T:
In each of the following, determine the nth-term formula for the number of square tiles in the nth...Problem 6T:
A sequence has an nth-term formula of an=(1)n(n(n1)2) Use the nth-term to determine the first 5...Problem 8T:
Number of Diagonal A diagonal of a polygon is a line segment that connects nonadjacent vertices...Problem 11T:
Counting Problem In how many different ways can a basketball team win exactly four out of their last...Problem 13T:
Vacation Money Shelly has saved same money for a vacation Shelly spends half of her vacation many on...Problem 14T:
Number of Different Routes How many different direct routes are there from point A to point B in the...Problem 15T:
Number of League Games In a league of nine football teams, each team plays every other team in the...Problem 16T:
Ages of Children The four children in the Rivera family are Reynaldo, Ramiro, Shakira and Sasha. The...Problem 17T:
Counterexample Find a counterexample to show that the following conjecture is false. Conjecture: For...Problem 18T:
Counterexample Find a counterexample to show that the following conjecture is false. Conjecture: For...Browse All Chapters of This Textbook
Chapter 1 - Problem SolvingChapter 1.1 - Inductive And Deductive ReasoningChapter 1.2 - Problem Solving With PatternsChapter 1.3 - problem-solving StrategiesChapter 2 - SetsChapter 2.1 - Basic Properties Of SetsChapter 2.2 - Complements, Subsets, And Venn DiagramsChapter 2.3 - Set OperationsChapter 2.4 - Applications Of SetsChapter 2.5 - Infinite Sets
Chapter 3 - LogicChapter 3.1 - Logic Statements And QuantifiersChapter 3.2 - Truth Tables, Equivalent Statements, And TautologiesChapter 3.3 - The Conditional And The BiconditionalChapter 3.4 - The Conditional And Related StatementsChapter 3.5 - Symbolic ArgumentsChapter 3.6 - Arguments And Euler DiagramsChapter 4 - Apportionment And VotingChapter 4.1 - Introduction To ApportionmentChapter 4.2 - Introduction To VotingChapter 4.3 - Weighted Voting SystemsChapter 5 - The Mathematics Of GraphsChapter 5.1 - Graphs And Euler CircuitsChapter 5.2 - Weighted GraphsChapter 5.3 - Planarity And Euler's FormulaChapter 5.4 - Graph ColoringChapter 6 - Numeration Systems And Number TheoryChapter 6.1 - Early Numeration SystemsChapter 6.2 - Place-value SystemsChapter 6.3 - Different Base SystemsChapter 6.4 - Arithmetic In Different BasesChapter 6.5 - Prime NumbersChapter 6.6 - Topics From Number TheoryChapter 7 - Measurement And GeometryChapter 7.1 - MeasurementChapter 7.2 - Basic Concepts Of Euclidean GeometryChapter 7.3 - Perimeter And Area Of Plane FiguresChapter 7.4 - Properties Of TrianglesChapter 7.5 - Volume And Surface AreaChapter 7.6 - Right Triangle TrigonometryChapter 7.7 - Non-euclidean GeometryChapter 7.8 - FractalsChapter 8 - Mathematical SystemsChapter 8.1 - Modular ArithmeticChapter 8.2 - Applications Of Modular ArithmeticChapter 8.3 - Introduction To Group TheoryChapter 9 - Applications Of EquationsChapter 9.1 - first-degree Equations And FormulasChapter 9.2 - rate, Ratio, And ProportionChapter 9.3 - PercentChapter 9.4 - Second-degree EquationsChapter 10 - Applications Of FunctionsChapter 10.1 - Rectangular Coordinates And FunctionsChapter 10.2 - Properties Of Linear FunctionsChapter 10.3 - Finding Linear ModelsChapter 10.4 - Quadratic FunctionsChapter 10.5 - Exponential FunctionsChapter 10.6 - Logarithmic FunctionsChapter 11 - The Mathematics Of FinanceChapter 11.1 - Simple InterestChapter 11.2 - Compound InterestChapter 11.3 - Credit Cards And Consumer LoansChapter 11.4 - Stocks, Bonds, And Mutual FundsChapter 11.5 - Home OwnershipChapter 12 - Combinatorics And ProbabilityChapter 12.1 - The Counting PrincipleChapter 12.2 - Permutations And CombinationsChapter 12.3 - Probability And OddsChapter 12.4 - Addition And Complement RulesChapter 12.5 - Conditional ProbabilityChapter 12.6 - ExpectationChapter 13 - StatisticsChapter 13.1 - Measures Of Central TendencyChapter 13.2 - Measures Of DispersionChapter 13.3 - Measures Of Relative PositionChapter 13.4 - Normal DistributionsChapter 13.5 - Linear Regression And Correlation
Book Details
MATHEMATICAL EXCURSIONS, Fourth Edition, teaches students that mathematics is a system of knowing and understanding our surroundings, and explores a selection of topics from various areas in mathematics. The topics were chosen to exemplify the power and diversity of mathematics and to connect math concepts to contemporary applications. For example, sending information across the Internet is better understood when one understands prime numbers; the perils of radioactive waste take on new meaning when one understands exponential functions; and the efficiency of the flow of traffic through an intersection is more interesting after seeing the system of traffic lights represented in a mathematical form. Now fully supported by two strong digital learning solutions, Enhanced WebAssign and MindTap Math, students will learn those facets of mathematics that strengthen their quantitative understanding and expand the way they know, perceive, and comprehend their world.
Sample Solutions for this Textbook
We offer sample solutions for Mathematical Excursions (Looseleaf) homework problems. See examples below:
Chapter 1, Problem 1REGiven Information: Roster method Concept used: In roster form, elements are written in value....Chapter 3, Problem 1REChapter 4, Problem 1REChapter 5, Problem 1REGiven information: The Hindu-Arabic numeral is 4,506,325. Formula used: Hindu-Arabic NumeralEgyptian...Chapter 7, Problem 1REChapter 8, Problem 1REChapter 9, Problem 1RE
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