Exam 8: The Nature of Measurement

Group the objects into classes so that all the elements within each class are topologically equivalent and no elements from different classes are topologically equivalent.

(Short Answer)

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Question 21

Is the network a Euler circuit or a Hamiltonian circuit? Can this network be traversed? Answer yes or no.

(Essay)

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Question 22

A saleswoman wants to visit eastern cities, New York City, Boston, Cleveland, and Washington, D.C. Driving distances are as shown in the figure below. What is the shortest trip starting in New York that visits each of these cities, if ? Find a solution using the brute-force method. __________ mi.

(Short Answer)

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Question 23

Determine whether each of the points A, B, and C is inside or outside of the simple closed curve. 1. Point C 2. Point A 3. Point B a. outside b. inside -C

(Short Answer)

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Question 24

Group the figures into classes so that all the elements within each class are topologically equivalent, and no elements from different classes are topologically equivalent.

(Multiple Choice)

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Question 25

Read the poem in the News Clip. Is a right-handed mitten topologically equivalent to a left-handed mitten? Answer yes or no. If a right-handed mitten is turned inside out, as is suggested in the poem, will it still fit a right hand? Answer yes or no.

(Short Answer)

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Question 26

Is the network in c) an Euler circuit? Can this network can be traversed?

(Multiple Choice)

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Question 27

On a planet far, far away, Luke finds himself in a strange building with hexagon-shaped rooms as shown in the figure below. In his search for the princess, he always moves to an adjacent room and always in a southerly direction. How many paths are there to room 13?

(Multiple Choice)

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Question 28

Does the network in the picture below have Hamiltonian cycles? If the network has one, describe it. If not, answer not possible.

(Short Answer)

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Question 29

Group the objects into classes so that all the elements within each class are topologically equivalent and no elements from different classes are topologically equivalent. A. a glass B. a bowling ball C. a sheet of typing paper D. a ruler E. a sphere

(Multiple Choice)

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Question 30

A saleswoman wants to visit eastern cities, New York City, Boston, Cleveland, and Washington,D.C. Driving distances are as shown in the figure below. What is the shortest trip starting in New York that visits each of these cities, if Find a solution using the nearest-neighbor method.

(Multiple Choice)

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Question 31

Can you pass the floor plan in b) through all the rooms while going through each door only once?

(Multiple Choice)

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Question 32

Determine whether each of the points A, B, and C is inside or outside of the simple closed curve. 1. Point C 2. Point A 3. Point B a. outside b. inside -B

(Short Answer)

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Question 33

Suppose you wish to install a drip sprinkler system and need to run a drip water line to five areas, as shown in the given graph. The numbers show the distances in feet. What is the smallest number of feet of drip hose necessary to install? Where __________ ft

(Short Answer)

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Question 34

Let X be a point obviously outside the figure. Draw . How many times does it cross the curve? It will cross the curve an __________ (even, odd) number of times.

(Short Answer)

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Question 35

Find two different spanning trees for the graph.

(Multiple Choice)

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Question 36

Group the figures into classes so that all the elements within each class are topologically equivalent, and no elements from different classes are topologically equivalent.

(Short Answer)

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Question 37

Read the poem in the News Clip. a. If a right-handed mitten is turned inside out, as is suggested in the poem, will it still fit a right hand? b. Is a right-handed mitten topologically equivalent to a left-handed mitten?

(Multiple Choice)

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Question 38

A saleswoman wants to visit eastern cities, New York City, Boston, Cleveland, and Washington, D.C. Driving distances are as shown in the figure below. What is the shortest trip starting in New York that visits each of these cities, if ? Find a solution using the sorted-edge method. __________ mi.

(Short Answer)

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Question 39

Group the objects into classes so that all the elements within each class are topologically equivalent and no elements from different classes are topologically equivalent. A. a bolt B. a brick C. a horseshoe D. a pencil

(Multiple Choice)

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Question 40

Showing 21 - 40 of 50

Group the objects into classes so that all the elements within each class are topologically equivalent and no elements from different classes are topologically equivalent.

Is the network a Euler circuit or a Hamiltonian circuit? Can this network be traversed? Answer yes or no.

A saleswoman wants to visit eastern cities, New York City, Boston, Cleveland, and Washington, D.C. Driving distances are as shown in the figure below. What is the shortest trip starting in New York that visits each of these cities, if ? Find a solution using the brute-force method. __________ mi.

Determine whether each of the points A, B, and C is inside or outside of the simple closed curve. 1. Point C 2. Point A 3. Point B a. outside b. inside -C

Group the figures into classes so that all the elements within each class are topologically equivalent, and no elements from different classes are topologically equivalent.

Read the poem in the News Clip. Is a right-handed mitten topologically equivalent to a left-handed mitten? Answer yes or no. If a right-handed mitten is turned inside out, as is suggested in the poem, will it still fit a right hand? Answer yes or no.

Is the network in c) an Euler circuit? Can this network can be traversed?

On a planet far, far away, Luke finds himself in a strange building with hexagon-shaped rooms as shown in the figure below. In his search for the princess, he always moves to an adjacent room and always in a southerly direction. How many paths are there to room 13?

Does the network in the picture below have Hamiltonian cycles? If the network has one, describe it. If not, answer not possible.

Group the objects into classes so that all the elements within each class are topologically equivalent and no elements from different classes are topologically equivalent. A. a glass B. a bowling ball C. a sheet of typing paper D. a ruler E. a sphere

A saleswoman wants to visit eastern cities, New York City, Boston, Cleveland, and Washington,D.C. Driving distances are as shown in the figure below. What is the shortest trip starting in New York that visits each of these cities, if Find a solution using the nearest-neighbor method.

Can you pass the floor plan in b) through all the rooms while going through each door only once?

Determine whether each of the points A, B, and C is inside or outside of the simple closed curve. 1. Point C 2. Point A 3. Point B a. outside b. inside -B

Suppose you wish to install a drip sprinkler system and need to run a drip water line to five areas, as shown in the given graph. The numbers show the distances in feet. What is the smallest number of feet of drip hose necessary to install? Where __________ ft

Let X be a point obviously outside the figure. Draw . How many times does it cross the curve? It will cross the curve an __________ (even, odd) number of times.

Find two different spanning trees for the graph.

Group the figures into classes so that all the elements within each class are topologically equivalent, and no elements from different classes are topologically equivalent.

Read the poem in the News Clip. a. If a right-handed mitten is turned inside out, as is suggested in the poem, will it still fit a right hand? b. Is a right-handed mitten topologically equivalent to a left-handed mitten?

A saleswoman wants to visit eastern cities, New York City, Boston, Cleveland, and Washington, D.C. Driving distances are as shown in the figure below. What is the shortest trip starting in New York that visits each of these cities, if ? Find a solution using the sorted-edge method. __________ mi.

Group the objects into classes so that all the elements within each class are topologically equivalent and no elements from different classes are topologically equivalent. A. a bolt B. a brick C. a horseshoe D. a pencil

The Nature of Problem Solving

The Nature of Sets

The Nature of Logic

The Nature of Numeration Systems

The Nature of Numbers

The Nature of Algebra

The Nature of Geometry

The Nature of Networks and Graph Theory

The Nature of Growth

The Nature of Sequences, Series, and Financial Management

The Nature of Counting

The Nature of Probability

The Nature of Statistics

The Nature of Graphs and Functions

The Nature of Mathematical Systems

The Nature of Voting and Apportionment

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Exam 8: The Nature of Measurement

Group the objects into classes so that all the elements within each class are topologically equivalent and no elements from different classes are topologically equivalent.

Is the network a Euler circuit or a Hamiltonian circuit? ​ ​ Can this network be traversed? Answer yes or no.

Determine whether each of the points A, B, and C is inside or outside of the simple closed curve. ​ 1. Point C 2. Point A 3. Point B a. outside b. inside ​ -C

Group the figures into classes so that all the elements within each class are topologically equivalent, and no elements from different classes are topologically equivalent.

Read the poem in the News Clip. Is a right-handed mitten topologically equivalent to a left-handed mitten? Answer yes or no. If a right-handed mitten is turned inside out, as is suggested in the poem, will it still fit a right hand? Answer yes or no.

Is the network in c) an Euler circuit? Can this network can be traversed? ​ ​

On a planet far, far away, Luke finds himself in a strange building with hexagon-shaped rooms as shown in the figure below. In his search for the princess, he always moves to an adjacent room and always in a southerly direction. How many paths are there to room 13? ​ ​

Does the network in the picture below have Hamiltonian cycles? If the network has one, describe it. If not, answer not possible.

Group the objects into classes so that all the elements within each class are topologically equivalent and no elements from different classes are topologically equivalent. A. a glass B. a bowling ball C. a sheet of typing paper D. a ruler E. a sphere

A saleswoman wants to visit eastern cities, New York City, Boston, Cleveland, and Washington,D.C. Driving distances are as shown in the figure below. What is the shortest trip starting in New York that visits each of these cities, if Find a solution using the nearest-neighbor method. ​ ​

Can you pass the floor plan in b) through all the rooms while going through each door only once? ​ ​

Determine whether each of the points A, B, and C is inside or outside of the simple closed curve. ​ 1. Point C 2. Point A 3. Point B a. outside b. inside ​ -B

Suppose you wish to install a drip sprinkler system and need to run a drip water line to five areas, as shown in the given graph. The numbers show the distances in feet. What is the smallest number of feet of drip hose necessary to install? ​ ​ Where ​ __________ ft

Let X be a point obviously outside the figure. Draw . How many times does it cross the curve? ​ ​ It will cross the curve an __________ (even, odd) number of times.

Find two different spanning trees for the graph.

Group the figures into classes so that all the elements within each class are topologically equivalent, and no elements from different classes are topologically equivalent.

Read the poem in the News Clip. a. If a right-handed mitten is turned inside out, as is suggested in the poem, will it still fit a right hand? b. Is a right-handed mitten topologically equivalent to a left-handed mitten?

Group the objects into classes so that all the elements within each class are topologically equivalent and no elements from different classes are topologically equivalent. A. a bolt B. a brick C. a horseshoe D. a pencil

The Nature of Problem Solving

The Nature of Sets

The Nature of Logic

The Nature of Numeration Systems

The Nature of Numbers

The Nature of Algebra

The Nature of Geometry

The Nature of Networks and Graph Theory

The Nature of Growth

The Nature of Sequences, Series, and Financial Management

The Nature of Counting

The Nature of Probability

The Nature of Statistics

The Nature of Graphs and Functions

The Nature of Mathematical Systems

The Nature of Voting and Apportionment

Filters

Is the network a Euler circuit or a Hamiltonian circuit? Can this network be traversed? Answer yes or no.

Determine whether each of the points A, B, and C is inside or outside of the simple closed curve. 1. Point C 2. Point A 3. Point B a. outside b. inside -C

Is the network in c) an Euler circuit? Can this network can be traversed?

On a planet far, far away, Luke finds himself in a strange building with hexagon-shaped rooms as shown in the figure below. In his search for the princess, he always moves to an adjacent room and always in a southerly direction. How many paths are there to room 13?

A saleswoman wants to visit eastern cities, New York City, Boston, Cleveland, and Washington,D.C. Driving distances are as shown in the figure below. What is the shortest trip starting in New York that visits each of these cities, if Find a solution using the nearest-neighbor method.

Can you pass the floor plan in b) through all the rooms while going through each door only once?

Determine whether each of the points A, B, and C is inside or outside of the simple closed curve. 1. Point C 2. Point A 3. Point B a. outside b. inside -B

Suppose you wish to install a drip sprinkler system and need to run a drip water line to five areas, as shown in the given graph. The numbers show the distances in feet. What is the smallest number of feet of drip hose necessary to install? Where __________ ft

Let X be a point obviously outside the figure. Draw . How many times does it cross the curve? It will cross the curve an __________ (even, odd) number of times.