Undergraduate Environmental Engineering Bachelor’s Degree at Penn State Berks By Kevin Bowes Undergraduate Electro-Mechanical Engineering Student at Penn State Berks 19 March 2013 Prepared for Professor Heidi Liebegott TABLE OF CONTENTS ABSTRACT 3 INTRODUCTION 4 Purpose 4 Background 4 DISCUSSION 5 What Does an Environmental Engineer Do? 5 Field Growth of Environmental Engineering 5 Why Berks? 6 Benefits for Penn State 9 CONCLUSION 10 RECOMMENDATIONS 10 WORKS CITED
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Name _____________________________ Date ____________ Period _______ Completing the Square Day 1 For each expression‚ find the number you would add to make it a perfect square trinomial. Leave fraction answers as improper fractions (no mixed numbers or decimals). Then factor each trinomial. 1. x2 + 10x + _______ 2. y2 – 6y + ¬¬¬¬_______ 3. z2 – 8z + _______ _____________________ _____________________ _____________________ 4. x2 + 12x + _______ 5. x2 – x + _______ 6.
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Completing the Square: Quadratic Examples & Deriving the Quadratic Formula (page 2 of 2) Solve x2 + 6x + 10 = 0. Apply the same procedure as on the previous page: This is the original equation. x2 + 6x + 10 = 0 Move the loose number over to the other side. x2 + 6x = – 10 Take half of the coefficient on the x-term (that is‚ divide it by two‚ and keeping the sign)‚ and square it. Add this squares value to both sides of the equation. x^2 + 6x + 9 = –10 + 9 Convert the left-hand side to
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prospect of a new world‚ settlers will often return to the comfortable ideal and moral of their mother country‚ England. William Penn was determined to initiate an idea of equality in the hearts of Americans. Over time and dedication‚ he was able to study how the court system can work in his favor to reinvent his presentation and accomplish his objectives. The defining actions of Penn established his position as an American Hero through the Peace Era‚ a period of time that may not have been considered existent
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The Jerry Sandusky case had a major impact on Penn State. It affected both academics and athletics in a major way. In this essay I will discuss the situation that occurred and the impact that the social media had on this once great school. Jerry Sandusky is a retired American football coach. He was the assistant coach at Pennsylvania State University under the legendary Joe Paterno for 30 years. He was the defensive coordinator for the football team. He is also the founder of The Second Mile
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Overview of the Issue In the scenario given‚ without an alternative‚ OCF probably has to initiate changes in its capital structure to drive off hostile takeover attempts from Wickes. There are a few a ways the capital structure can be changed‚ i) recapitalize by retiring equity with debt (swap)‚ ii) simply assume more debt‚ iii) issue more shares‚ or iv)buy back shares. An under levered firm can increase its debt ratio by borrowing money and buying back stock or paying a super dividend to its stock
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Magic squares have intrigued people for thousands of years and in ancient times they were thought to be connected with the supernatural and hence‚ magical. Today‚ magic squares are considered magical because there are so many relationships between the sums of the numbers in the squares. So‚ what is a magic square? A magic square is an arrangement of the numbers from 1 to n2 in an n x n matrix‚ with each number occurring exactly once‚ and such that the sum of the entries of any row‚ any column‚ or
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What the magic squares are It is easy to make you understand what the magic squares are by showing it. It is known well as a puzzle for kids. It is easy to how it works‚ and there is an interest how it is made. There is a simple rule to make it. The sum of one of any lines is always same to another sum. In this case‚ there are eight of equality. 8+1+6 =6+7+2 =4+9+2 =8+3+4 =3+5+7 =1+5+9 =8+5+2 =6+5+4 There are also many kinds in magic squares. This is simple‚ but also mysterious. There is
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Space. Federation Square is a central public space situated in middle of the CBD. The Yarra river runs along and passes the southern edge of fed square. Fed square is inside of Swanston and Flinders Street and stops it’s coverage at Russell street. Fed square is next to the main interlocking circle of the Melbourne train system; Flinders street. Getting to Federation square isn’t hard‚ from any part of the city there is always directory. From Melbourne Central you can catch the train to flinders
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Chi-square requires that you use numerical values‚ not percentages or ratios. Then calculate 2 using this formula‚ as shown in Table B.1. Note that we get a value of 2.668 for 2. But what does this number mean? Here’s how to interpret the 2 value: 1. Determine degrees of freedom (df). Degrees of freedom can be calculated as the number of categories in the problem minus 1. In our example‚ there are two categories (green and yellow); therefore‚ there is I degree of freedom. 2. Determine a relative
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