Two Variable Inequality MAT 221 11 May 2012 The purpose of this week’s assignment is to determine how many maple rocking chairs the Ozark Furniture Company can make. We will also plot the inequalities of this on a graph. Here is the information and first set of problems for the text: Maple rockers. Ozark Furniture Company can obtain at most 3000 board feet of maple lumber for making its classic and modern maple rocking chairs. A classic maple rocker requires 15 board
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The Domino Effect 9-26-01 Abstract: In this experiment dominos were used to investigate how distance‚ time‚ and average speed is interrelated by maximizing the speed of falling dominoes. This was done by lining up 28 dominos up against a meter stick 0.5 cm‚ 1.0 cm‚ 1.5 cm‚ 2.0 cm‚ and 2.5 cm away from each other. Before the experiment the average width of a domino was taken. At the beginning of each of these 5 trials the dominos were lined up against the meter stick. The lengths of all the dominoes
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Overview of Various Types of Sights Why choose a holographic sight‚ otherwise known as the red dot sight‚ when there are other options such as telescopic sights and laser sights? What advantages does the holographic sight have over these other sight systems and why is it the weapon of choice for the military? It is true that the holographic sight is the most used aiming system in modern warfare but how far does its advantages take the shooter to when compared to what consumers already
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Convex Optimization Solutions Manual Stephen Boyd Lieven Vandenberghe January 4‚ 2006 Chapter 2 Convex sets Exercises Exercises Definition of convexity 2.1 Let C ⊆ Rn be a convex set‚ with x1 ‚ . . . ‚ xk ∈ C‚ and let θ1 ‚ . . . ‚ θk ∈ R satisfy θi ≥ 0‚ θ1 + · · · + θk = 1. Show that θ1 x1 + · · · + θk xk ∈ C. (The definition of convexity is that this holds for k = 2; you must show it for arbitrary k.) Hint. Use induction on k. Solution. This is readily shown by induction from
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the acceleration due to gravity‚ g is always vertically downwards and hence has no effect on the horizontal motion of the projectile.Thus projectile motion is two-dimensional motion.We can consider the plane of plane of motion as the x- coordinate and y- coordinate with the x-axis horizontal and the y-axis vertically upward. In another words‚ projectile motion can be resolved into two perpendicular component: a horizontal component with constant velocity (zero acceleration)and a vertical
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the celestial sphere. Besides define the path of the sun‚ the ecliptic marks the line along which eclipses occur‚ the moon and planets and asteroids wander‚ the Zodiac constellations live. The ecliptic is even the starting point for the celestial coordinate system used by astronomers to pinpoint the location of every star‚ nebula‚ and galaxy. Meridian-a great circle of the earth passing through the poles and any given point on the earth’s surface. The half of such a circle included between the poles
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Introduction The basic premise behind the learning curve concept is the improvement in performance of process due to repetitive nature of tasks operated by individual or organization again and again. This theory is based on three fundamental assumptions which is as follows: 1. The time required for completion of task decreases as it is repeated number of times 2. The percentage of improvement decreases with corresponding increase in volume of units‚ 3. The rate of improvement is predictable over
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Rudolf Laban (1879-1953) was born in Austro-Hungary. Laban became interested in the relationship between the moving human form and the space which surrounds it. He was a dancer‚ a choreographer and a dance / movement scholar. Laban was the first person to develop community dance and he set out to reform the role of dance education‚ emphasizing his belief that dance should be made available to everyone. Laban believed that movement enables a man to recognize his physical potential and that movement
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Chapter 2 1. A consumer prefers more to less of every good. Her income rises‚ and the price of one of the goods falls while other prices stay constant. These changes must have made her better of. TRUE 2. A decrease in income pivots the budget line around the bundle initially consumed. FALSE 3. If all prices are doubled and money income is left the same‚ the budget set does not change because relative prices don ’t change. FALSE 4. If all prices double and income triples‚ then the
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Creating a Competitive Salary Structure INTRODUCTION Each employee in an organization is paid a salary. Salaries vary greatly‚ with executives earning as much as (or greater than) 100 times an entry-level employee’s salary. This variation is not by chance. It is rationally established through a salary structure – a hierarchy of salaries. Organizations develop this structure based upon internal factors (such as current rates‚ job relationships‚ and custom) and external factors (such as labor
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