Mathematical Ideas (13th Edition) - Sta...13th EditionCharles D. Miller, Vern E. Heeren, John Hornsby, Christopher Heeren Publisher: PEARSONISBN: 9780321977076
Mathematical Ideas (13th Edition) - Sta...
Solutions for Mathematical Ideas (13th Edition) - Standalone book
Problem 1E:
The next number in the pattern 2,4,6,8,10 is 12Problem 2E:
My dog barked and woke me up at 1:02 a.m., 2:03 a.m., and 3:04 a.m. So he will bark again and wake...Problem 3E:
To find the perimeter P of a square with side of length s, I can use the formula P=4s. So the...Problem 4E:
A company charges a 10% re-stocking fee for returning an item. So when I return a radio that cost...Problem 5E:
In Exercises 1-16, determine whether the reasoning is an example of deductive or inductive...Problem 6E:
6. If you take your medicine, you’ll feel a lot better. You take your medicine.Therefore, you’ll...Problem 7E:
It has rained every day for the past six days, and it is raining today as well. So it will also rain...Problem 9E:
9. The 2000 movie Cast Away stars Tom Hanks as the only human survivor of a plane crash, stranded on...Problem 10E:
10. If the same number is subtracted from both sides of a true equation, the new equation is also...Problem 13E:
It is a fact that every student who ever attended Delgado University was accepted into graduate...Problem 14E:
For the past 126 years, a rare plant has bloomed in Columbia each summer, alternating between yellow...Problem 16E:
16. (This anecdote is adapted from a story by Howard Eves in In Mathematical Circles.) A scientist...Problem 17E:
17. Discuss the differences between inductive and deductive reasoning. Give an example of each.
Problem 18E:
18. Give an example of faulty inductive reasoning.
Problem 19E:
Determine the most probable next term in each of the following lists of numbers. 6, 9, 12, 15, 18Problem 20E:
Determine the most probable next term in each of the following lists of numbers 13,18,23,28,33Problem 21E:
21. 3, 12, 48, 192, 768
Problem 22E:
32, 16,8,4,2Problem 23E:
3, 6, 9, 15, 24, 39Problem 24E:
13,35,57,79,911Problem 25E:
25.
Problem 26E:
1,4, 9, 16, 25Problem 27E:
27. 1, 8, 27, 64, 125
Problem 28E:
28. 2, 6, 12, 20, 30, 42
Problem 29E:
Determine the most probable next term in each of the following lists of numbers. 4, 7, 12, 19, 28,...Problem 30E:
30. 27, 21, 16, 12, 9
Problem 33E:
33. Construct a list of numbers similar to those in Exercise 19 such that the most probable next...Problem 34E:
34. Construct a list of numbers similar to those in Exercise 30 such that the most probable next...Problem 36E:
36.
Problem 37E:
37.
Problem 38E:
38.
Problem 39E:
39.
Problem 40E:
40.
Problem 41E:
41.
Problem 42E:
42.
Problem 43E:
43.
Problem 44E:
3=3(31)23+9=3(91)23+9+27=3(271)23+9+27+81=3(811)2Problem 45E:
12=11212+14=11412+14+18=11812+14+18+116=1116Problem 46E:
46.
Problem 48E:
48.
Problem 49E:
1+2+3++800Problem 50E:
1+2+3++2000Problem 51E:
Modify the procedure of Gauss to find the sum .
Problem 52E:
Explain in your own words how the procedure of Gauss can be modified to find the sum 1+2+3++n, where...Problem 54E:
53. Modify the procedure of Gauss to find the sum
54. Use the result of Exercise 53 to find the sum...Problem 55E:
55. What is the most probable next number in this list?
12, 1, 1, 1, 2, 1, 3
(Hint: Think about a...Problem 57E:
57. Choose any three-digit number with all different digits, and follow these steps.
a. Reverse the...Problem 58E:
58. Choose any number, and follow these steps.
a. Multiply by 2.
b. Add 6.
c. Divide by 2.
d....Browse All Chapters of This Textbook
Chapter 1 - The Art Of Problem SolvingChapter 1.1 - Solving Problems By Inductive ReasoningChapter 1.2 - An Application Of Inductive Reasoning: Number PatternsChapter 1.3 - Strategies For Problem SolvingChapter 1.4 - Numeracy In Today’s WorldChapter 2 - The Basic Concepts Of Set TheoryChapter 2.1 - Symbols And TerminologyChapter 2.2 - Venn Diagrams And SubsetsChapter 2.3 - Set OperationsChapter 2.4 - Surveys And Cardinal Numbers
Chapter 3 - Introduction To LogicChapter 3.1 - Statements And QuantifiersChapter 3.2 - Truth Tables And Equivalent StatementsChapter 3.3 - The Conditional And CircuitsChapter 3.4 - The Conditional And Related StatementsChapter 3.5 - Analyzing Arguments With Euler DiagramsChapter 3.6 - Analyzing Arguments With Truth TablesChapter 4 - Numeration SystemsChapter 4.1 - Historical Numeration SystemsChapter 4.2 - More Historical Numeration SystemsChapter 4.3 - Arithmetic In The Hindu-Arabic SystemChapter 4.4 - Conversion Between Number BasesChapter 5 - Number TheoryChapter 5.1 - Prime And Composite NumbersChapter 5.2 - Large Prime NumbersChapter 5.3 - Selected Topics From Number TheoryChapter 5.4 - Greatest Common Factor And Least Common MultipleChapter 5.5 - The Fibonacci Sequence And The Golden RatioChapter 6 - The Real Numbers And Their RepresentationsChapter 6.1 - Real Numbers, Order, And Absolute ValueChapter 6.2 - Operations, Properties, And Applications Of Real NumbersChapter 6.3 - Rational Numbers And Decimal RepresentationChapter 6.4 - Irrational Numbers And Decimal RepresentationChapter 6.5 - Applications Of Decimals And PercentsChapter 7 - The Basic Concepts Of AlgebraChapter 7.1 - Linear EquationsChapter 7.2 - Applications Of Linear EquationsChapter 7.3 - Ratio, Proportion, And VariationChapter 7.4 - Linear InequalitiesChapter 7.5 - Properties Of Exponents And Scientific NotationChapter 7.6 - Polynomials And FactoringChapter 7.7 - Quadratic Equations And ApplicationsChapter 8 - Graphs, Functions, And Systems Of Equations And InequalitiesChapter 8.1 - The Rectangular Coordinate System And CirclesChapter 8.2 - Lines, Slope, And Average Rate Of ChangeChapter 8.3 - Equations Of LinesChapter 8.4 - Linear Functions, Graphs, And ModelsChapter 8.5 - Quadratic Functions, Graphs, And ModelsChapter 8.6 - Exponential And Logarithmic Functions, Graphs, And ModelsChapter 8.7 - Systems Of Linear EquationsChapter 8.8 - Applications Of Linear SystemsChapter 8.9 - Linear Inequalities, Systems, And Linear ProgrammingChapter 9 - GeometryChapter 9.1 - Points, Lines, Planes, And AnglesChapter 9.2 - Curves, Polygons, Circles, And Geometric ConstructionsChapter 9.3 - The Geometry Of Triangles: Congruence, Similarity, And The Pythagorean TheoremChapter 9.4 - Perimeter, Area, And CircumferenceChapter 9.5 - Volume And Surface AreaChapter 9.6 - Transformational GeometryChapter 9.7 - Non-Euclidean Geometry And TopologyChapter 9.8 - Chaos And Fractal GeometryChapter 10 - Counting MethodsChapter 10.1 - Counting By Systematic ListingChapter 10.2 - Using The Fundamental Counting PrincipleChapter 10.3 - Using Permutations And CombinationsChapter 10.4 - Using Pascal’s TriangleChapter 10.5 - Counting Problems Involving “Not” And “Or”Chapter 11 - ProbabilityChapter 11.1 - Basic ConceptsChapter 11.2 - Events Involving “Not” And “Or”Chapter 11.3 - Conditional Probability And Events Involving “And”Chapter 11.4 - Binomial ProbabilityChapter 11.5 - Expected Value And SimulationChapter 12 - StatisticsChapter 12.1 - Visual Displays Of DataChapter 12.2 - Measures Of Central TendencyChapter 12.3 - Measures Of DispersionChapter 12.4 - Measures Of PositionChapter 12.5 - The Normal DistributionChapter 13 - Personal Financial ManagementChapter 13.1 - The Time Value Of MoneyChapter 13.2 - Consumer CreditChapter 13.3 - Truth In LendingChapter 13.4 - The Costs And Advantages Of Home OwnershipChapter 13.5 - Financial InvestmentsChapter 14 - Graph TheoryChapter 14.1 - Basic ConceptsChapter 14.2 - Euler Circuits And Route PlanningChapter 14.3 - Hamilton Circuits And AlgorithmsChapter 14.4 - Trees And Minimum Spanning TreesChapter 15 - Voting And ApportionmentChapter 15.1 - The Possibilities Of VotingChapter 15.2 - The Impossibilities Of VotingChapter 15.3 - The Possibilities Of ApportionmentChapter 15.4 - The Impossibilities Of Apportionment
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Mathematical Ideas captures the interest of non-majors who take the Liberal Arts Math course by showing how mathematics plays an important role in everyday life. With a fresh, new focus on math in the workplace, this program shows students how math will play an important role in their future, while encouraging them to understand and embrace the mathematical concepts.
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