students; Level 2, measuring the student’s skills in translating unknown into mathematical expression; and level 3 measuring the student’s skills in formulating mathematical equation that expresses the relation of he variables in the problem; lastly, in Level 4, solving problems involving linear equation, quadratic and exponential equation. The statistical tools used in analyzing the data were means and z-test. FINDINGS 1. The study found out that most students understood what is asked in
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traffic moving smoothly, the number of cars entering the intersection per hour must equal the number of cars leaving per hour. 1. Describe the situation. 2. Create a system of linear equations using a, b, c, d, e, f, and g that models continually flowing traffic. 3. Solve the system of equations. Variables f and g should turn out to be independent. 4. Answer the following questions: a. List acceptable traffic flows for two different values of the independent variables.
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determine the function and sketch it on a suitable domain. Point A: (1, 4) Point B: (2, 2) Point C: (4, k) or (4, 0) Using the equation y = ax² + bx + c substitute the 3 points (x and y) into three equations to find the function. Point A: 1…………… 4 = 1x + 1x + 1c Point B: 2…………….2 = 4x + 2x + 1c Point C: 3…………….0 = 16x + 4x + 1c Using the simultaneous equation function on the graphics calculator, find the function of the three points and graph using Autograph. Function = y = 0.3333x² -
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value for y corresponding to a value for x. This is just the pictorial reflection of what we get in case of a function. Solve each system by substitution 12.) Solution * 2x + y = 5 * y = 5- 2x Substituting in first equation 4x – 5y = -11 4x – 5(5-2x) = -11 4x – 25 + 10x = -11 14 x = -11 + 25 14x = 14 x = 1 Therefore, we get : So, y = 5-2x = 5 -2*1 = 3 x = 1, y =3 Solve each system by elimination. 20.) Solution 4x +y = -23 ………………………eq 1 x - 2y =
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A Generalized Logarithm for Exponential-Linear Equations Dan Kalman Dan Kalman (kalman@email.cas.american.edu) joined the mathematics faculty at American University in 1993, following an eight year stint in the aerospace industry and earlier teaching positions in Wisconsin and South Dakota. He has won three MAA writing awards, is an Associate Editor of Mathematics Magazine, and served a term as Associate Executive Director of the MAA. His interests include matrix algebra, curriculum development
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matter, to determine the material response and in general, to distinguish one material from another. As described in the preceding chapter, constitutive equations for hyperelastic materials postulate the existence of a strain energy function W . There are several theoretical frameworks for the analysis and derivation of constitutive equations, for example the Rivlin-Signorini method where the governing idea is to expand the strain energy function in a power series of the invariants, or the Valanis-Landel
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Natalia Perez Portfolio September 28, 2012 Table of Contents Statement of Authenticity …………………………………………………………………...……3 Personal Mission Statement……………………………………………………………………….4 Elevator Speech …………………………………………..………………………………………5 Education………………………………………………………………………………………….6 Resume…………………………………………………………………………………………….9 Professional development and Training ……………………………………………………..…..10 Reference…………………………………………………………………………………..…….11 Reference List ……………………………………………………………………………
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knowledge and organized thought. Apart from my major courses, I have been crazy about attending lectures of Economy Department in my college. The effect of market and economy attracted me a lot. Therefore, I completed macroeconomics, microeconomics and accounting in my sophomore year. In addition, my father is taking managing position in an entrepreneur. Accordingly, I have been interested in business courses and I decide to take financial related courses, especially Actuarial Studies as the direction of
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Solve the inequality 12x + 11 > 3x - 1 2. Find the gradient of the curve with equation: 3. The sequence of values given by the Iterative formula 2x2 - 4xy + 31 = 9 at the point (2,1) + 1 = 2. (xn +_1_ ) 2 3 Xn with initial value x I = 1 converges to a. Xn (i) Use this formula to find a correct to 2 d.p, showing the result of each iteration. (ii) State an equation satisfied by a, and hence fmd the exact value of a. 4. Express sine -J3 cose
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work was later partially validated and partially superseded by Galileo's studies on falling bodies. He also published a treatise on retrieving sunken ships. Contents [hide] * 1 Personal life * 2 Major works * 3 Solution to cubic equations * 4 Volume of a tetrahedron * 5 Notes * 6 References * 7 External links ------------------------------------------------- Personal life[edit] Niccolò Fontana was the son of Michele Fontana, a dispatch rider who travelled to neighboring
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