Exercise 6.1 Question 1: Solve 24x < 100‚ when (i) x is a natural number (ii) x is an integer Answer The given inequality is 24x < 100. (i) It is evident that 1‚ 2‚ 3‚ and 4 are the only natural numbers less than . Thus‚ when x is a natural number‚ the solutions of the given inequality are 1‚ 2‚ 3‚ and 4. Hence‚ in this case‚ the solution set is {1‚ 2‚ 3‚ 4}. (ii) The integers less than are …–3‚ –2‚ –1‚ 0‚ 1‚ 2‚ 3‚ 4. Thus‚ when x is an integer‚ the solutions of the given inequality
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------------------------------------------------- ------------------------------------------------- LAWS2017 Real Property ------------------------------------------------- Comprehensive Study Notes 1. Common Law and Equitable Approached to Competing Interests The basic rules of priority: 1. Priority disputes occur when two or more people claim independent property rights that cannot co-exist. When one property right takes priority over another‚ the latter is extinguished or diminished to the extent
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Fashion as a way of expression In 1950 using men’s trousers or shirts‚ mini dresses and flat shoes was the trendiest way to dress. By 1960 the hippie subculture took over‚ bringing their bohemian vibes with them‚ making the maxi floral dresses and flower crowns a hit. And by the mid-1980s Madonna had introduced us to the universe of the Girl Power‚ the spandex bodysuits and the colorful disco inspired clothes. As we see fashion has always been transcending hand in hand with us‚ and the way it is seen
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DEDICATION As an expression of gratitude and love‚ this pure modest research work is heartedly dedicated to all people who have special to their life. First of all our LORD GOD‚ To their classmates and friends And to their beloved and supportive parents. Acknowledgement The researcher wishes to express their sincere gratitude and appreciation to those people helped‚ guide and supported to this
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Michael Jordan is important to know. He is a great NBA legend that is know to be the best ever. He was born on February 17‚ 1963. As a kid‚ Michael lived in Brooklyn but had to move to North Carolina. He moved‚ because what happened in Brooklyn was bad. He seen drugs‚ shooting‚ and gangs all around him. North Carolina was a much safer environment for Michael. Michael has loved the game of basketball his whole life‚ and still does. The life of Michael Jordan is an amazing story to know. Michael Jordan
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universal precautions. Suppose the spread of a direct contact disease in a stadium is modeled by the exponential equation P(t) = 10‚000/(1 + e3-t) where P(t) is the total number of people infected after t hours. (Use the estimate for e (2.718) or the graphing calculator for e in your calculations.) 1. Estimate the initial number of people infected with the disease. Show how you found your answer. Answer: A total of 474 people would be initially infected. Equation: p(0)=10‚000/(1+3^3) ~ 474
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write down the coordinates of the vertex of the parabola with equation y – x2 – 6x + 14. (Total 4 marks) 2. The diagram shows the graph of the function y = ax2 + bx + c. Complete the table below to show whether each expression is positive‚ negative or zero. Expression|positive|negative|zero| a|||| c|||| b2 – 4ac|||| b|||| (Total 4 marks) 3. The diagram shows the parabola y = (7 – x)(l + x). The points A and C are the x-intercepts and the point B is the maximum point. Find the coordinates
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silencing the expression of an opinion would be robbing the human race and its posterity even if the opinion is false. Mill argues that hearing a false and even vile opinion allows us to have a "clearer perception and livelier impression of truth‚ produced by its collision with error" (1978‚ 16). In other words‚ the truth can be better understood by refuting an error. Moreover‚ Mill argues that most opinions are neither completely true nor false. He points out that allowing freedom of expression would result
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Review of Algebra 2 s REVIEW OF ALGEBRA Review of Algebra q q q q q q q q q q q q q q q Here we review the basic rules and procedures of algebra that you need to know in order to be successful in calculus. Arithmetic Operations The real numbers have the following properties: a b b a ab a b c a b ab c ab ac In particular‚ putting a b and so b c b c ba c (Commutative Law) (Associative Law) (Distributive law) ab c a bc 1 in the
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~61E LINEAR ALGEBRA QUESTION ı The blanks below will be filled by students. i Name: Surname: Signature: 22 MAY 2013 FINAL i Electronic Group Number: \ List Number: Post( e-mail) address: For the solution of this question (Except the score) Score Student Number: please use only the front face and if necessary the back face of this page. [ı2 pts] (a) Find the transition matrix from the ordered basis [(ı‚ ı‚ ı)T‚ (ı‚ 0‚ O)T‚ (0‚2‚ ı)T] of R3 to the ordered
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