ADVANCED SUBSIDIARY GENERAL CERTIFICATE OF EDUCATION ADVANCED GENERAL CERTIFICATE OF EDUCATION MATHEMATICS LIST OF FORMULAE AND STATISTICAL TABLES (List MF1) Pure Mathematics Mensuration Surface area of sphere = 4π r2 Area of curved surface of cone = π r × slant height Trigonometry a2 = b2 + c2 − 2bc cos A Arithmetic Series un = a + (n − 1)d Sn = 12 n(a + l) = 12 n{2a + (n − 1)d} Geometric Series un = arn−1 a(1 − rn ) 1−r a S∞ = for | r | < 1 1−r Sn = Summations n ∑ r2 = 16 n(n + 1)(2n
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ULTRASONIC TESTING (UT) USEFUL FORMULAE 1. Velocity of Ultrasonic Waves in a medium (V) = f x l OR W here f = Number of cycles per second is called frequency. Measured in ‘Hertz’. Abbreviated as ‘Hz’. One Hertz is equivalent to One cycle per second l = Distance covered in one cycle is wavelength V= Velocity of Ultrasonic wave inside the medium in ‘mm/s’ 2. A coustic Impedance (Z) = V x r W here: Z= Acoustic Impedance r= D ensity V= Velocity 3. R eflection Coefficient
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"K-I-S-S" redirects here. For other uses‚ see Kiss (disambiguation). KISS is an acronym for "Keep it simple‚ stupid" as a design principle noted by the U.S. Navy in 1960.[1][2] The KISS principle states that most systems work best if they are kept simple rather than made complex; therefore simplicityshould be a key goal in design and unnecessary complexity should be avoided. The phrase has been associated with aircraft engineer Kelly Johnson (1910–1990).[3] The term "KISS principle" was in popular
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14. If x has the probability distribution f(x) = 12x for x = 1‚2‚3‚…‚ show that E(2X) does not exist. This is famous Petersburg paradox‚ according to which a player’s expectation is infinite (does not exist) if he is to receive 2x dollars when‚ in a series of flips of a balanced coin‚ the first head appears on the xth flip. 17. The manager of a bakery knows that the number of chocolate cakes he can sell on any given day is a random variable having the probability distribution f(x) = 16 for x =
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1) 0.069 mol MgSO4/ 0.015 mol H2O = 4.6 = 5 Formulae for hydrated MgSO4 = MgSO4 5H2O 2) There are at least two reasons why heating to find percentage of water in hydrated crystals is not recommended for all hydrates. The first reason is that some hydrates have such a strong bond with the water that not all of it will be able to be removed. The second reason is that different hydrates have their own mass. Depending on the mass and type of hydrate‚ some of the molecule may be burned off from heating
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Macroeconomics 2 - Essay 1 Explain for which reasons the real wage is expected to be acyclical in the Classical model‚ countercyclical in the Keynesian model and procyclical in the New Keynesian model. Which model would better fit the empirical evidence? Real Wage is defined as the payment to labour measured in units of output adjusted for the current level of inflation. This can be written as: Real Wage= Nominal Wage x (Expected Price Level/ Price Level) W/P = ω x X /P P Real Wage cyclicality
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Cost‚ Volume‚ and Profit Formulas Heather Jauregui University of Phoenix of Axia College “The Cost-volume-profit (CVP) analysis is the study of the effects of changes in costs and volume on a company’s profits.” (Kimmel‚ P.‚ Weygandt‚ J.‚ & Kieso‚ D. 2003) The analysis is used to maximize efficiency in a business. In order to be effective the CVP analysis has to make several assumptions. These assumptions are that the costs can be fitted into either fixed or variable categories. The
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How To Prepare Infant Formula Infant formula is an alternative to breast milk. It comes in three forms: Powder. Concentrated liquid. Ready-to-eat. BEFORE PREPARING FORMULA: Check the formula’s expiration date. Do not use formula that is expired. Check the formula’s label to see if you will need to add water to the formula. If you do need to add water and if you are going to use well water or bottled water‚ boil the water for at least 1 minute. Then let it cool. Make
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CFA 3 formulas (copied) Study online at quizlet.com/_76ths 1. # Equity contracts (equation): 10. Basic expression relating forward and spot prices (equations - multiple): 2. # Equity index contracts (equation): 3. # of contracts fixed income (equation): 4. 2-period return to active management (equation): 11. Benchmark domestic return (equation): 5. Accrual equivalent after-tax return (equation): 12. Beta (equation): 6. Accrual equivalent tax rate
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“The Brave Tin Soldier‚” a Fairy Tale originally wrote by Hans Christen Anderson in 1838; while a great work in its self is a bit of a read. There is a more modern version done as a movie short‚ by TRUEMAX academy‚ of the H.C. Andersen’s tale‚ it is titled‚ "The Steadfast Tin Soldier‚” and posted online Aug 12‚ 2008. In the following paper I will give a brief description of the fairy tale‚ how the two fairy tales are similar‚ how they are different‚ and if the same moral is portrayed. The difference
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