Task #3: Abstract Algebra Competency 210.4.2: Groups & Competency 210.4.4: Fields Jennifer Moore Western Governor’s University Part A: The image below is the fifth roots of unity. Using these fifth roots of unity and de Moivre’s formula to verify that the fifth roots of unity form a group under complex multiplication. de Moivre’s formula is z^k=cos(2πk/n)+isin(2πk/n)‚k=0‚1‚2‚…‚n-1 (Nicodemi‚ 2006) for the 5th roots unity of n=5. The following show the fifth roots of unity using
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In the seventeenth century Europe‚ the study of natural sciences has changed significantly. The Renaissance · religious reform has changed the view of the world centered on God‚ and the development of the age of the great navigation brought about an overwhelming increase in knowledge information volume. The fact that the science of ancient Greece and Arabia was transmitted in the Renaissance era was one factor that advanced science. Science-based methods were incorporated into art as well. Khan Academy
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ECO204: Solutions to Homework 5 1. True‚ False‚ Uncertain a. False. Methods to eliminating moral hazard include writing efficient contracts between principals and agents‚ bonding and deferred payments. The methods to eliminate adverse selection include sending signals and relying on 3rd parties to verify quality. b. True. When there is asymmetric information‚ it drives out high-quality goods because consumers have a difficult time differentiating between high- and low-quality goods. As a result‚
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Project 1: Linear Correlation and Regression Analysis Gross Revenue and TV advertising: Pfizer Inc‚ along with other pharmaceutical companies‚ has begun investing more promotion dollars into television advertising. Data collected over a two year period‚ shows the amount of money Pfizer spent on television advertising and the revenue generated‚ all on a monthly bases. |Month |TV advertising |Gross Revenue | |1 |17 |4.1 | |2
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Week 6 Teamwork Assignment Task #1: Weekly pay before deductions or expenses Job 1: $50‚310 / 52 week in a year = $967.50 Job 2: 6 hours a day x 5 days a week x $20.50 = $615.00 Task #2: Weekly payroll deductions Job 1: $967.50 x 0.15 = $145.13 Job 2: $615 x 0.12 = $73.80 Task #3: Weekly job-related expenses Job 1: Daycare: $175.00 After school program: $75.00 Clothing:
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This article considers the relationship between two variables in two ways: (1) by using regression analysis and (2) by computing the correlation coefficient. By using the regression model‚ we can evaluate the magnitude of change in one variable due to a certain change in another variable. For example‚ an economist can estimate the amount of change in food expenditure due to a certain change in the income of a household by using the regression model. A sociologist may want to estimate the increase
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The Central Police Department had recently been criticized in the local media for not responding to police calls in the downtown area rapidly enough. In several recent cases‚ alarms had sounded for break-ins‚ but by the time the police car arrived‚ the perpetrators had left‚ and in one instance a store owner had been shot. Sergeant Davies had been assigned by the chief to find a way to determine the optimal patrol area (dimensions) for their cars that would minimize the average time it took to respond
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Have you ever had that desire to accomplish something and give it your all? Like maybe studying really hard for your algebra midterm exam? By staying up every night and hoping it’s all worth it. Imagine a little young lady working her hardest every day at practice‚ staying up late‚ pushing herself and going an extra mile every single day for her desire to play varsity ball. All her determination being set aside through difficult games and sometimes no playing time. Little did she know this home
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A SHADY PLOT Question 5-(a): What genre of stories does Jenkins want the narrator to write? Why? Answer 5-(a): Jenkins had always called upon Hallock whenever he wanted a ghost story to be published in his magazine. John’s ghosts were live propositions as Jenkins called them. This time again Jenkins wanted Hallock to come up with another supernatural thriller‚ which would give the readers horrors and that is what the public wanted too. Question 5-(b): Does the narrator like writing ghost stories
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9/12/10 IMP POW Linear Nim In this POW‚ we had to play a game called Linear Nim. In this game‚ we drew 10 lines on a paper‚ and we had to take turns crossing out 1‚ 2‚ or 3 of the marks. The person that crossed out the last mark was the winner. The first task of this POW was to find a winning strategy for this game. After we found this out‚ we were supposed to make variations to the game‚ for instance starting with more or less marks‚ or allowing a player to cross out more or less marks. We were
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