Dominoes are rectangular tiles divided into two squares. Each square has a number (usually represented by...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Dominoes are rectangular tiles divided into two squares. Each square has a number (usually represented by a series of dots) from 0 to 6. A double-six set of dominoes has tiles of every possible combination of these numbers, from 0-0 to 6-6. Each possible combination of numbers appears only once in a set, so a complete set of dominoes contains 28 tiles. Two tiles from a double-six set of dominoes are shown below: In many games, you must place the dominoes next to each other in such a way that squares with identical numbers are placed next to each other. Doubles are traditionally rotated before they are placed. Adhering to these rules, the following shows a legal placement of three dominoes: Domino Placement Problem Can all the dominoes in a double-six set be placed in a single line of tiles adhering to the placement rules previously described? Can they all be placed so that the single line loops back to the first domino? The remainder of this activity sheet will help you answer these questions. 1. Decide how to use a graph to model the Domino Placement problem. Carefully define what your vertices represent and how you know when two vertices are connected by an edge. 2. Based on your model, restate the Domino Placement problem. 3. What type of previously solved problem in this unit is this problem related to? 4. Solve the Domino Placement problem. The Snowplow Problem As the new snowplow operator, you must decide the best route through three cities. In each city, you need to plow all the roads and return to your starting place, but you must also keep from backtracking as much as possible. 1. Construct two snowplow routes through each of the following cities and indicate the time it will take to travel each route. The time it takes to traverse each road (in hours) is indicated in the graph. 3 B 2 D A 2 5 + B 3 6 3 E City I D 5 2 5 3 C 6 E City II B 4. 3 7 City III E w 00 8 1 F Dominoes are rectangular tiles divided into two squares. Each square has a number (usually represented by a series of dots) from 0 to 6. A double-six set of dominoes has tiles of every possible combination of these numbers, from 0-0 to 6-6. Each possible combination of numbers appears only once in a set, so a complete set of dominoes contains 28 tiles. Two tiles from a double-six set of dominoes are shown below: In many games, you must place the dominoes next to each other in such a way that squares with identical numbers are placed next to each other. Doubles are traditionally rotated before they are placed. Adhering to these rules, the following shows a legal placement of three dominoes: Domino Placement Problem Can all the dominoes in a double-six set be placed in a single line of tiles adhering to the placement rules previously described? Can they all be placed so that the single line loops back to the first domino? The remainder of this activity sheet will help you answer these questions. 1. Decide how to use a graph to model the Domino Placement problem. Carefully define what your vertices represent and how you know when two vertices are connected by an edge. 2. Based on your model, restate the Domino Placement problem. 3. What type of previously solved problem in this unit is this problem related to? 4. Solve the Domino Placement problem. The Snowplow Problem As the new snowplow operator, you must decide the best route through three cities. In each city, you need to plow all the roads and return to your starting place, but you must also keep from backtracking as much as possible. 1. Construct two snowplow routes through each of the following cities and indicate the time it will take to travel each route. The time it takes to traverse each road (in hours) is indicated in the graph. 3 B 2 D A 2 5 + B 3 6 3 E City I D 5 2 5 3 C 6 E City II B 4. 3 7 City III E w 00 8 1 F
Expert Answer:
Related Book For
Java How To Program Late Objects Version
ISBN: 9780136123712
8th Edition
Authors: Paul Deitel, Deitel & Associates
Posted Date:
Students also viewed these mathematics questions
-
"internet radios" for streaming audio, and personal video recorders and players. Describe design and evaluation processes that could be used by a start-up company to improve the usability of such...
-
CANMNMM January of this year. (a) Each item will be held in a record. Describe all the data structures that must refer to these records to implement the required functionality. Describe all the...
-
In January, the Cabinet Company worked on six job orders for specialty kitchen cabinets. It began job A-62 are as follows: The Cabinet Company produced a total of 34 cabinets for job A-62. Its...
-
The following is a sample of computer output from a study. Describe the problem and the conclusion, based on the computer output. Y = number of drinks in the previous 7 days Two-sample T for...
-
Use Eq. (12) to find N at the point indicated.
-
A negatively charged particle located at the origin of an \(x y z\) coordinate system is spinning clockwise about the \(x\) axis (that is, clockwise when you look at the particle while standing...
-
Cortez Chemical Co. uses an average cost processing system. All materials are added at the start of the production process. Labor and overhead are added evenly at the same rate through-out the...
-
3. A particle of mass m is moving in the xy-plane such that its velocity at a point (x, y) is given as v = a(yx+2xy), where a is a non-zero constant. What is the force F acting on the particle? (A) F...
-
Experts in Pinellas County are examining the episode with the assistance of government and other nearby policing. Sheriff Bob Gualtier said on Friday, February 5, programmers remotely got to a PC...
-
A 25 kg child is sliding to the right at 1.75 m/s on frictionless ice when he is struck by a barrage of 8 identical snowballs. If each snowball has a mass of 0.22 kg and a leftward velocity of 14...
-
Carbon dioxide ( = 1.84 kg/m^3) passes through the expansion chamber, which causes mercury ( = 13,550 kg/m^3) in the manometer to settle as shown. Determine the velocity of the gas at A. Assume no...
-
The four engines of a Boeing 7 4 7 - 1 0 0 transport can produce a combined thrust of 1 7 6 , 0 0 0 lbs . at takeoff. the plane begins its roll with an acceleration of 7 . 5 6 ft . / sec squared....
-
The cutting tool material with the highest thermal conductivity is: a ) ) High speed steel b ) Carbide c ) ) Ceramics d ) Cubic boron nitride
-
What do tool angles specification systems help in defining? a ) Chip thickness ratio b ) Cutting tool wear c ) The orientation and geometry of cutting edges d ) Workpiece hardness
-
How do We Estimate Demand/Create A Demand Equation? What variables to select, what are the expected signs of the coefficients, where might the date be located,
-
What are the key elements of a system investigation report?
-
How many structural isomers are there for hydrocarbons that have the molecular formula C 4 H 10 ? (a) none (b) one (c) two (d) three
-
Which contains more hydrogen atomsa five-carbon saturated hydrocarbon molecule or a five-carbon unsaturated hydrocarbon molecule? (a) The unsaturated hydrocarbon has more hydrogen atoms. (b) The...
-
One solution to the problem of our overflowing landfills is to burn plastic objects instead of burying them. What are some advantages and disadvantages of this practice? (a) disadvantage: toxic air...
Study smarter with the SolutionInn App