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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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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7 x2 = 11 x1 + 2 x2 = −2 1 5 1 0 1 0 1 0 2 7 2 −3 2 1 0 1 −2 11 −2 21 −2 −7 12 −7 −3x2 = 21 x1 + 2 x2 = −2 x2 = −7 x1 = 12 x2 = −7 1 2 CHAPTER 1 • Linear Equations in Linear Algebra 3. The point of intersection satisfies the system of two linear equations: x1 + 5 x2 = 7 x1 − 2 x2 = −2 1 1 5 −2 7 −2 x1 + 5 x2 = 7 Replace R2 by R2 + (–1)R1 and obtain: Scale R2 by –1/7: Replace R1 by R1 + (–5)R2: The point
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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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Question: Which heats and cools faster: sand or water? Hypothesis: The hypothesis is that sand will heat and cool more quickly than the same amount of water placed under the same conditions. This is because water has a higher specific heat capacity (4.18 J/g°C) compared to sand’s specific heat capacity (0.29 J/g°C). The specific heat capacity is how much heat energy it takes to change the temperature of the material one degree. Since water has a higher specific heat capacity it will take more heat
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the main types of math that is heavily taught in high school is Algebra. In fact‚ it is a requirement for California high school graduates. By learning these math skills in school‚ it helps students for their daily life and in their later professions. Many careers involve the knowledge and use of algebra. In business fields such as banking‚ financial planning‚ business operations and accounting heavily rely on the knowledge of algebra. These types of professions use algebraic equations to determine
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Algebra in Business and Science Algebra is used repeatedly in business and science for professions ranging from accountants to astronomers and physicists. The fundamental algebraic equation in accounting is assets = liabilities + capital. Accountants use this equation to balance the books. They also use algebra to calculate journal entries for interest payments and depreciation (Moore‚ n.d.). To analyze and work with numbers‚ accountants also need to understand positive and negative numbers
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Algebra has long been taught in the same way. This usually means teachers rely heavily on the textbook. Though some textbooks have changed in recent years‚ the central focus is till on paper and pencil‚ memorization of rules‚ and use of algorithms. The Curriculum and Evaluation Standards for School Mathematics (NCTM 1989) asks mathematics teachers to seek activities that “model real-world phenomena with a variety of function” and “represent and analyze relationships using tables‚ verbal rules
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KEY HONORS ALGEBRA 2 B 1. a. d. 2. a. d. a1 3‚ Semester Exam Review b. b. an 4 an1 an 3 4n 1 an 1 3 n 1 3n 2 c. 805‚306‚368 1‚073‚741‚823 a1 1 an an 1 3 c. 178 5370 3. 4624.577 cm3 4. 2805 seats 5. a. 6. a. 3 7. a. 81 b. 8. a. a 4b9 b. 1 3 17 3 7 b. 4 or 3 7 b. 4 1 9 x4 5 c. 24 5 c. x 2 or
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JROTCDL.com – CADET 101 – Conflict Resolution - 2 Name: ____________________________________ Date:____________ STUDY GUIDE: CONFLICT RESOLUTION Lesson 1 Screen 12 of 19 Five (5) conflict resolution strategies for the Planner behavioral style: 1. _____________________________________________________________________ 2. _____________________________________________________________________ 3. _____________________________________________________________________ 4. ______________
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