06.05 Applications of Systems of Equations Part 1 1. Tony and Belinda have a combined age of 56. Belinda is 8 more than twice Tony’s age. How old is each? Tony’s age = t years‚ Belinda’s age = 56 - t years 56 - t = 2t + 8 56 - 8 = 2t + t ==> 3t = 48 ==> t = 16 years THUS Tony = 16 years‚ and Belinda = 40 years 2. Salisbury High School decided to take their students on a field trip to a theme park. A total of 150 people went on the trip. Adults pay $45.00 for a ticket and students pay
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Fairuz Dalilah Binti Abdul Rashid Are We Alone? : Discovering Life on Other Planets Habitable Zone and The Drake Equation A habitable zone‚ which is also known as the Goldilocks Zone‚ is basically a region where there is a probability in finding the extraterrestrial life. The finding is based on the temperature and the pressure of a certain planetary-mass objects. When the temperature is between 273K and 373K‚ there will be presence of water that can support the extraterrestrial life to live in
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Accounting Equations Paper ACC/300 Nakisha Susberry University of Phoenix Student 4/20/2013 The accounting equation is a formula that represents the relationship between the assets‚ liabilities‚ and owner ’s equity of a small business. Businesses use this to basically show what it owns what it owes and what its investors are investing. In order to understand these concepts it is important to have some knowledge of what is meant by each of the three basic components mentioned. “Assets
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The Form of Structural Equation Models Structural equation modeling incorporates several different approaches or frameworks to representing these models. In one well-known framework (popularized by Karl Jöreskog‚ University of Uppsala)‚ the general structural equation model can be represented by three matrix equations: However‚ in applied work‚ structural equation models are most often represented graphically. Here is a graphical example of a structural equation model: For more information
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Accounting Equation ACC 300 June 24‚ 2013 Bennie Clark Accounting Equation Assets = Liabilities + Stockholder’s Equity is the basic accounting equation. Liabilities are a company’s legal debts or obligations that come from transactions or from business operations. Stockholder’s equity is capital received from investors in exchange for stock‚ retained earnings and donated capital. These two portions of the balance sheet added together make up the company’s assets‚ which represent ownership
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Straight Line Equations and Inequalities A: Linear Equations - Straight lines Please remember that when you are drawing graphs you should always label your axes and that y is always shown on the vertical axis. A linear equation between two variables x and y can be represented by y = a + bx where “a” and “b” are any two constants. For example‚ suppose we wish to plot the straight line If x = -2‚ say‚ then y = 3 + 2(-2) = 3 - 4 = -1 If x= -2 -1 -1 1 0 3 1 5 2 7 As you can see‚ we have plotted the
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Experiment 4: Developmental of an Equation Purpose While performing this lab‚ the student will learn how to determine the formula of the ionic solid produced from the reaction. Also‚ the student will learn to write the chemical equation corresponding to the reaction. Procedure Please refer to General Chemistry Laboratory Experiments‚ Volume 1‚ 2011‚ by Robert Tatz and Judith Casey‚ Exp 4‚ pages 32-33‚ for proper procedure. Data See attached sheet. Report Questions 1. The charge on an
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Introduction to Structural Equation Modeling (Path Analysis) SGIM Precourse PA08 May 2005 Jeffrey L. Jackson‚ MD MPH Kent Dezee‚ MD MPH Kevin Douglas‚ MD William Shimeall‚ MD MPH Traditional multivariate modeling (linear regression‚ ANOVA‚ Poisson regression‚ logistic regression‚ proportional hazard modeling) is useful for examining direct relationships between independent and dependent variables. All share a common format: Dependent Variable = Independent variable1 + Independent Variable2 + Independent
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Absolute values In an absolute value‚ everything with it is counted as a positive. ∣-a∣ = --a= a ∣a∣ =a In an equation‚ absolute values have two possibilities when talking about equations ∣a+b∣ =x = a+b=x = a+b= -x e.g. Solve ∣x-4∣=8 x-4=8 OR x-4= -8 x=12 x=-4 Sub both answer into the equation ∣12-4∣ =8 OR ∣-4-4∣ =8 8=8 8=8 Both solution re true so x=12 or x=-4 Absolute inequalities (method 1) If ∣a+b∣ ≤x∣a+b∣
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EXPERIMENT : - 2 EXPERIMENT Verification of Bernoulli’s Energy Equation THEORY For steady incompressible flow Bernoulli’s energy equation along a streamline is written as [pic] constant where [pic] = pressure‚ [pic] = velocity and [pic] = height from datum Purpose of this experiment is to verify this expression. In the special apparatus the pipe is tapered with the cross section decreasing in the direction of flow first and then
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