## Solutions for Nature of Mathematics (MindTap Course List)

Problem 1PS:

IN YOUR OWN WORDS The prologue provides a historical overview and asks the question, Why Math? This...Problem 2PS:

IN YOUR OWN WORDS The epilogue for this text provides an essay of how the material of this text...Problem 3PS:

HISTORICAL QUEST What are the five chronological historical periods into which the prologue is...Problem 4PS:

HISTORICAL QUEST Select what you believe to be the most interesting cultural event and the most...Problem 5PS:

HISTORICAL QUEST Select what you believe to be the most interesting cultural event and the most...Problem 6PS:

HISTORICAL QUEST Select what you believe to be the most interesting cultural event and the most...Problem 7PS:

HISTORICAL QUEST Select what you believe to be the most interesting cultural event and the most...Problem 8PS:

HISTORICAL QUEST Select what you believe to be the most interesting cultural event and the most...Problem 9PS:

IN YOUR OWN WORDS This prologue has 60 problems as does every problem set in this text, but at this...Problem 10PS:

IN YOUR OWN WORDS Problems 11-60 are included to give a quick overview of what this text is about....Problem 11PS:

In mathematics, is is important to read the directions before attempting to work any problems. You...Problem 12PS:

In mathematics, is is important to read the directions before attempting to work any problems. You...Problem 13PS:

How many people must be in a room to be sure that at least four of them have the same birthday not...Problem 14PS:

In mathematics, is is important to read the directions before attempting to work any problems. You...Problem 15PS:

If a year had two consecutive months with a Friday the thirteenth, which months would they have to...Problem 16PS:

On Saturday evenings, a favourite pastime of the high school students in Santa Rosa, California, is...Problem 17PS:

In mathematics, is is important to read the directions before attempting to work any problems. You...Problem 18PS:

In mathematics, is is important to read the directions before attempting to work any problems. You...Problem 19PS:

If the population of the world on October 12,2002, was 6.248 billion, when do you think the world...Problem 21PS:

In mathematics, is is important to read the directions before attempting to work any problems. You...Problem 23PS:

In mathematics, is is important to read the directions before attempting to work any problems. You...Problem 24PS:

In mathematics, is is important to read the directions before attempting to work any problems. You...Problem 25PS:

In mathematics, is is important to read the directions before attempting to work any problems. You...Problem 26PS:

In mathematics, is is important to read the directions before attempting to work any problems. You...Problem 27PS:

In mathematics, is is important to read the directions before attempting to work any problems. You...Problem 28PS:

If a group of 50 persons consists of 20 males, 12 children and 25 women, how many men are in the...Problem 29PS:

In mathematics, is is important to read the directions before attempting to work any problems. You...Problem 32PS:

In mathematics, is is important to read the directions before attempting to work any problems. You...Problem 33PS:

How many trees must be cut to make a trillion one-dollar bills? To answer this question, you need to...Problem 35PS:

Critique the statement given in the news clip.Problem 36PS:

In mathematics, is is important to read the directions before attempting to work any problems. You...Problem 38PS:

The map shows the percent of children ages 19-35 months who are immunized by the state. What...Problem 40PS:

Find limn(1+1n)n.Problem 43PS:

Suppose the percentage of alcohol in the blood t hours after consumption is given by C(t)=0.3et/2....Problem 45PS:

A map of small village is shown in Figure 8. To walk from A to B, Sarah obviously must walk at least...Problem 46PS:

A hospital wishes to provide for its patients a diet that has a minimum of 100 g of carbohydrates,...Problem 48PS:

Find the smallest number of operations needed to build up to the number 100 if you start at 0 and...Problem 49PS:

If log2x+log4x=logbx, what is b?Problem 50PS:

Supply the missing number in the following sequence:...Problem 52PS:

Answer the question asked in the news clip from Ask Marilyn column of Parade Magazine July 16, 1995.Problem 53PS:

Five cards are drawn at random from a pack of cards that have been numbered consecutively from 1 to...Problem 54PS:

What is the sum of the counting numbers from 1 to 104?Problem 55PS:

The Kabbalah is a body of mystical teaching from the Torah. One medieval inscription is shown on the...Problem 57PS:

The equation P=153,000e0.05t represents the population of a city t years after 2000. What is the...Problem 58PS:

The Egyptians had an interesting, pictorial numeration system. Here is how you would count using...# Browse All Chapters of This Textbook

Chapter P - Prologue: Why Math? A Historical OverviewChapter 1.1 - Problem SolvingChapter 1.2 - Inductive And Deductive ReasoningChapter 1.3 - Scientific Notation And EstimationChapter 1.CR - Chapter SummaryChapter 2.1 - Sets, Subsets, And Venn DiagramsChapter 2.2 - Operations With SetsChapter 2.3 - Applications Of SetsChapter 2.4 - Finite And Infinite SetsChapter 2.CR - Chapter Summary

Chapter 3.1 - Deductive ReasoningChapter 3.2 - Truth Tables And The ConditionalChapter 3.3 - Operators And Laws Of LogicChapter 3.4 - The Nature Of ProofChapter 3.5 - Problem Solving Using LogicChapter 3.6 - Logic CircuitsChapter 3.CR - Chapter SummaryChapter 4.1 - Early Numeration SystemsChapter 4.2 - Hindu-arabic Numeration SystemChapter 4.3 - Different Numeration SystemChapter 4.4 - Binary Numeration SystemChapter 4.5 - History Of Calculating DevicesChapter 4.CR - Chapter SummaryChapter 5.1 - Natural NumbersChapter 5.2 - Prime NumbersChapter 5.3 - IntegersChapter 5.4 - Rational NumbersChapter 5.5 - Irrational NumbersChapter 5.6 - Groups, Fields, And Real NumbersChapter 5.7 - Discrete MathematicsChapter 5.8 - CryptographyChapter 5.CR - Chapter SummaryChapter 6.1 - PolynomialsChapter 6.2 - FactoringChapter 6.3 - Evaluation, Applications, And SpreadsheetsChapter 6.4 - EquationsChapter 6.5 - InequalitiesChapter 6.6 - Algebra In Problem SolvingChapter 6.7 - Ratios, Proportions, And Problem SolvingChapter 6.8 - PercentsChapter 6.9 - Modeling Uncategorized ProblemsChapter 6.CR - Chapter SummaryChapter 7.1 - GeometryChapter 7.2 - Polygons And AnglesChapter 7.3 - TrianglesChapter 7.4 - Similar TrianglesChapter 7.5 - Right-triangle TrigonometryChapter 7.6 - Mathematics, Art, And Non-euclidean GeometriesChapter 7.CR - Chapter SummaryChapter 8.1 - PerimeterChapter 8.2 - AreaChapter 8.3 - Surface Area, Volume, And CapacityChapter 8.4 - Miscellaneous MeasurementsChapter 8.CR - Chapter SummaryChapter 9.1 - Euler Circuits And Hamiltonian CyclesChapter 9.2 - Trees And Minimum Spanning TreesChapter 9.3 - Topology And FractalsChapter 9.CR - Chapter SummaryChapter 10.1 - Exponential EquationsChapter 10.2 - Logarithmic EquationsChapter 10.3 - Applications Of Growth And DecayChapter 10.CR - Chapter SummaryChapter 11.1 - InterestChapter 11.2 - Installment BuyingChapter 11.3 - SequencesChapter 11.4 - SeriesChapter 11.5 - AnnuitiesChapter 11.6 - AmortizationChapter 11.7 - Summary Of Financial FormulasChapter 11.CR - Chapter SummaryChapter 12.1 - PermutationsChapter 12.2 - CombinationsChapter 12.3 - Counting Without CountingChapter 12.4 - Rubik's Cube And Instant InsanityChapter 12.CR - Chapter SummaryChapter 13.1 - Introduction To ProbabilityChapter 13.2 - Mathematical ExpectationChapter 13.3 - Probability ModelsChapter 13.4 - Calculated ProbabilitiesChapter 13.5 - Bayes'theoremChapter 13.6 - The Binomial DistributionChapter 13.CR - Chapter SummaryChapter 14.1 - Frequency Distributions And GraphsChapter 14.2 - Descriptive StatisticsChapter 14.3 - The Normal CurveChapter 14.4 - Correlation And RegressionChapter 14.5 - SamplingChapter 14.CR - Chapter SummaryChapter 15.1 - Cartesian Coordinates And Graphing LinesChapter 15.2 - Graphing Half-planesChapter 15.3 - Graphing CurvesChapter 15.4 - Conic SectionsChapter 15.5 - FunctionsChapter 15.CR - Chapter SummaryChapter 16.1 - Systems Of Linear EquationsChapter 16.2 - Problem Solving With SystemsChapter 16.3 - Matrix Solution Of A System Of EquationsChapter 16.4 - Inverse MatricesChapter 16.5 - Modeling With Linear ProgrammingChapter 16.CR - Chapter SummaryChapter 17.1 - VotingChapter 17.2 - Voting DilemmasChapter 17.3 - ApportionmentChapter 17.4 - Apportionment ParadoxesChapter 17.CR - Chapter SummaryChapter 18.1 - What Is Calculus?Chapter 18.2 - LimitsChapter 18.3 - DerivativesChapter 18.4 - IntegralsChapter 18.CR - Chapter Summary

### Book Details

Experience mathematics--and develop problem-solving skills that will benefit you throughout your life--with THE NATURE OF MATHEMATICS and its accompanying online learning tools. Karl Smith introduces you to proven problem-solving techniques and shows you how to use these techniques to solve unfamiliar problems. You'll also find coverage of interesting historical topics, and practical applications to settings and situations that you encounter in your day-to-day world, such as finance (amortization, installment buying, annuities) and voting. With this book's guidance, you'll both understand mathematical concepts and master the techniques.

# Sample Solutions for this Textbook

We offer sample solutions for Nature of Mathematics (MindTap Course List) homework problems. See examples below:

Chapter P, Problem 1PSChapter 1.CR, Problem 1CRGiven, A∪B Let, U={1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A={1, 3, 5, 7, 9} B={2, 4, 6, 9, 10} The union is...Logic is a method of reasoning which accepts only those conclusions that are unable to avoid such...Consider the following examples of in positional system. The above given numeral is the system of...Addition of integers: To add integers first we have to look the signs of integers. Let us assume...Algebra refers to a structure as a set of axioms that forms the basis for what is accepted and what...Calculation: Given a 4-cm cube painted green is cut into 64 1-cm cubes. There will be no cube with...Two centimeters is approximately the distance between a joint of the thumb to the tip of the thumb....

Consider the provided figure, The term traversable is defined as, “A network is said to be a...Approach: For positive b and A, b≠1. bx=A means x=logbA Here x is called the logarithm and A is...The distinguishing a series from a sequence, A sequences represent the list of numbers having a...Definition: For any counting number n, the factorial of n is defined as, n!=n(n−1)(n−2)....3⋅2⋅1...Definition: If an experiment has n mutually exclusive and equally likely outcomes, and if s is the...Given, The result of tossing a coin 40 times. HTTTTHHTHHTTHHTTHTHTHHTTHTHHTHHHTHTTTTTT The following...Given: The equation is 5x−y=15. Approach: Substitute the different values of x in given equation....Approach: Fundamental Matrix operations are equality, addition, subtraction, multiplication by a...For this election, the total number of voters is n=18+15+12=45 In Majority rule, if the number of...Calculus is the mathematics of motion and change, which is why calculus is a prerequisite for many...

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