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A bead is placed at each of the six vertices of a regular hexagon, and each bead is to be painted either red or blue, how many distinguishable patterns are there under equivalence relative to the group of rotations of the hexagon?
Repeat Problem 8 with a regular hexagon in place of a regular pentagon.
In how many distinguishable ways can the four faces of a regular tetrahedron be painted with four different colors if each face is to be a different color and two ways are considered indistinguishable if one can be obtained from the other by rotation of the tetrahedron? (The group of rotations in this case has order 12. In addition to the identity, there are eight 120? rotations around lines such as ae in the following figure, and three 180? rotations around lines such as fg.)
Use Burnside?s Counting Theorem to compute the number of orbits for the group 〈(1 2 3 4)(5 6)〉 acting on {1, 2, 3, 4, 5, 6}. What are the orbits?
Attachment:- 469165.zip
Solve the given equation using absolute value function.
A utility company has the following rate schedule for natural gas usage in a city's business district. Graph the following function using transformations. Be sure to graph all of the stages on one graph all of the stages on one graph.
Use the graph to state the vertical & horizontal asymptotes
suppose the supply function for these items is q100p80 which means that there are 80 items already in the warehouse and
How is the amount of time spent exercising related to weight loss - how is the number of years spent in school related to salary and how is the speed limit related to the number of highway fatalities?
Describe two laws of exponents and provide an example illustrating each law. Explain how to simplify the expression. How do the laws work with rational exponents?
How do you convert from a colspace into a nullspace?
Sketch the parabola and find the vertex.
A) Find domain B) x and y intercepts C)horizontal and vertical asymptotes E) increase and decrease F) concavity and G) points of inflection. Solve the following using row reduction.
Find the homogenous linear systems.,
Write the ordered pairs for each coordinate. Use the scale factor to determine the coordinates of the transformed figure. Write the ordered pairs using arrow notation and graph the dilated Image.
You have been asked to give a presentation on the relation between race and social inequality in the United States on the following issues: What is race?
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