SYSTEM OF LINEAR EQUATIONS IN TWO VARIABLES Solve the following systems: 1. x y 8 x y 2 by graphing by substitution by elimination by Cramer’s rule 2. 2 x 5 y 9 0 x 3y 1 0 by graphing by substitution by elimination by Cramer’s rule 3. 4 x 5 y 7 0 2 x 3 y 11 0 by graphing by substitution by elimination by Cramer’s rule CASE 1: intersecting lines independent & consistent m1m2 CASE 2: parallel lines
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Linear Model of Communication It is a one way model to communicate with others. It consists of the sender encoding a message and channeling it to the receiver in the presence of noise. Draw backs – the linear model assumes that there is a clear cut beginning and end to communication. It also displays no feedback from the receiver. • For example; a letter‚ email‚ text message‚ lecture. There are two main linear model which are used to explain the human communication process. They are .
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OBJECTIVE OF PROBLEM: Main objective of the problem is to maximize profit of the company‚ that produces milk made products and minimize shipping cost of these products to supply at different stores in the city. The main objective is achieve by using linear programming optimization methods. EXACT PROBLEM DEFINITION: A company produces milk made products such as‚ Cream‚ Skim milk‚ Full Cream Milk‚ butter and ghee. The company uses 3000000 liters of milk monthly for producing milk made goods. From
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Visual Perception Pictorial depth cues are what we use to create depth and distance on a 2D canvas or paper. Linear perspective is used when two parallel lines converge together and are perceived to come to a point into the distance. We perceive this in straight roads‚ railway tracks or hallways. This image displays linear perspective on the left side on the box as it is perceived to come together despite the fact that the lines are parallel. Interposition is used when an object sits in front
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Coefficient of Linear Expansion Introduction With few exceptions materials expand somewhat when heated through a temperature range that does not produce a change in phase (i.e. melting‚ freezing‚ boiling etc.). The added heat increases the average amplitude of vibration of the atoms in the material‚ which increases the average separation between the atoms. Although this effect is small‚ it is very important in any application that involves using different materials in an environment where they
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RHA; same trend for LL and PL. The Linear Shrinkage (LS) decreases as the RHA content increases‚ enhancing the volume stability of the soil. The results obtained from the researches’ work are shown below in Figure 2.7. Figure 2.7: Variation of OMC‚ LL‚ PL‚ PI‚ and LS with RHA content Roy (2014) conducted a research on the soil stabilization using RHA and cement‚ using the soil sample from Burdwan‚ India by disturbed sampling method. The CBR value obtained from the experiment is to evaluate the
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1. Cellulose‚ starch‚ and glycogen are very similar‚ yet very different. Describe the process by which each of these molecules is formed. Why does the subtle difference in how the simple sugar monomers are bonded in starch and cellulose affect how the two molecules are used? Cellulose is built from glucose molecules bonded covalently together through a process known as hydrolysis. Hydrolysis is a chemical process in which a molecule of water is added to a substance. Each alternating glucose
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The purpose of this experiment was to isolate and purify cholesterol from egg yolks. Two hard boiled egg yolks were twice extracted with diethyl ether and methanol‚ with the filtrate collected via vacuum filtration. Potassium hydroxide pellets were added to the filtrate‚ the ether was distilled off‚ and the mixture was saponified by reflux. The crude cholesterol was isolated through a series of ether extractions and aqueous washes; then the ether was dried with MgSO4 and removed by rotary evaporation
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Pantawid Pamilyang Pilipino Program: “Kaya ng Pinoy tumawid sa Kaunlaran” One afternoon‚ I bought chips and drinks in a mini-mart. I fall in a long line with people who are too busy checking up their groceries. I heard one talking about the money that they have to budget in a week or two that in some sort helps them in their living. The cash that they had was from a program. I was too curious about the program that they were talking about‚ what comes next was I found myself talking to one of these
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project of your choice‚ either from your own work or as a hypothetical situation. Be sure that you stae your situation first‚ before you develpp the LP model Linear programming is a modeling technique that is used to help managers make logical and informed decisions. All date and input factors are known with certainty. Linear program models are developed in three different steps: Formulation Solution Interpretation The formulation step deals with displaying the problem in a mathematical
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