general statement for nth triangular numbers in terms of n is: The 6-stellar star‚ where there are 6 vertices‚ has its first four shapes shown below: The number of dots until stage S6: 1‚ 13‚ 37‚ 73‚ 121‚ 181 Number of dots at stage 7: 253 Expression for number of dots at stage 7: Since the general trend is adding the next multiple of 12 (12‚ 24‚ 36‚ 48 etc…) for each of the stars‚ so for S2 it would be 1+12=13‚ and for S3 it would be 13+24=37 General statement for 6-stellar star number
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Robin Wake 10/24/12 Choice Theories Madoff was a master thief and financier. In 2008‚ he revealed that the asset management arm of his firm‚ Bernard L. Madoff Investment Securities‚ was "just one big lie". In what he described as a Ponzi scheme‚ he took his investors for $65 billion over the course of two decades. The scheme wasn’t revealed until Madoff himself confessed his crimes (How Ponzi Schemes Work). I believe this is based on the rational choice theory. For example‚ a drug addict may
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In this essay I aim to describe two theories (Equity Theory and Social exchange theory) of relationships and to consider how they might influence the therapist engaged in couples counseling‚ noting their similarities and differences. Equity theory is a theory about fairness. Its application to close relationships has been primarily advanced by Elaine Hatfield (previously known as Elaine Walster) and her colleagues in the book Equity: Theory and Research (Walster‚ Walster‚ and Berscheid 1978). The
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Chain Management and the Theory OF Constraints Swaroop R. School of Management Studies MBA FT S3 E-mail: swathq@gmail.com Abstract: Supply Chain Management (SCM) has become the backbone of an organisation when it comes to the management of raw as well as finished goods. It is the major component of strategy taken by the organisations to increase productivity as well as profitability. But the constraints on the whole supply chain is always miscalculated and Theory of Constraints (TOC) helps
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Madison Ewing Dr. Barker IDC 301-03 Scene Analysis 1 Before Sunset I chose a scene towards the ending where Jesse and Celine arrive at her apartment after an eventful‚ therapeutic car ride. Throughout the movie there is this ongoing reconnection and “catching up” the two characters have about their lives over the last nine years. In the chosen scene‚ a change of pace in terms of dialogue‚ scenery‚ and behavior can be seen. Once Jesse and Celine are out of the car‚ they make their first true
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"When I was one-and-twenty..." by A. E. Housman (1859-1936) When I was one-and-twenty I heard a wise man say‚ ’Give crowns and pounds and guineas But not your heart away; Give pearls away and rubies But keep your fancy free.’ But I was one-and-twenty‚ No use to talk to me. When I was one-and-twenty I heard him say again‚ ’The heart out of the bosom Was never given in vain; ’Tis paid with sighs a plenty And sold for endless rue.’ And I am two-and-twenty‚ And oh
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In the previous chapter I presented the default cases of metonymy and how cognitive and communicative principles govern the selection of a preferred metonymic vehicle. These principles enable us to understand why we choose certain entities to access a target and why some vehicle-to-target routes have been conventionalized in the language. However‚ it sometimes occurs that cognitive and communicative principles are overridden because of the speaker’s expressive needs or a particular social situation
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The concept of Identity is complex through the exploration of relationships and a sense of belonging. This is explored within Tim Winton’s short stories‚ ‘ Neighbours’ and ‘Big World’‚ and in Robert Walker’s poem ‘Okay‚ Let’s be Honest’. Identity can change and evolve depending on belief‚ change‚ language and shifting influences. Tim Winton‚ the composer of ‘Neighbours’ has a perplexed and distressing tone as he suggests to the reader‚ the significance of multiculturalism and diversity within Australia
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use a dual alternative decision structure. 3. You would use a nested decision structure. 4. The AND operator connects two Boolean expressions into one compound expression. Both must be true for the compound expression to be true. 5. The OR operator connects two Boolean expressions into one compound expression. One or both must be true for the compound expression to be true. It doesn’t matter which one. 6. When determining if a number is within a range‚ the OR operator would be best to use
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Compare and contrast Rawls’ theory of justice with Hayek’s version of freedom. In doing so please outline and justify which theory provides a better explanation Friedrich Hayek was a British philosopher who wrote from his experiences of World War one in which he served. It is known that based on Hayek’s experience in the war and his desire to help avoid the mistakes that had orchestrated to the war; he was led to this career in which he developed the theory of freedom. Hayek argues that there
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