Real number Irrational numbers π ‚ √�� Rational numbers Integers Whole Natural 3 5 1 2 4 2 2 3 Rational Like: Integers {…‚ -3‚ -2‚ -1‚ 0‚ 1‚ 2‚ 3…….} Whole {0‚ 1‚ 2‚ 3…} Natural {1‚ 2‚ 3…} ‚ ‚ ‚ Properties of real numbers 1234- Reflexive property a=a Symmetric property a = b then b = a Transitive property a = b and b = c then a = c Principle of substitution if a = b then we can substitute b for a in any expirations Commutative properties a+b=b+a ‚ a.b=b.a Associative properties
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The teacher’s hypothesis is horribly inaccurate. First of all‚ Scenario A is the only linear function in the group consisting of A‚B‚ and C. Scenario B is a function‚ but not linear. Scenario C is not a function. Scenario A has all the criteria of a linear function. For every independent variable (aka “x” value or input) in the domain‚ there is one and only one dependent variable (aka output or “y” value) in the range. It can be written in the form “y=mx+b” where “m” and “b” are real numbers‚ “x”
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this term in year 11 we have collected data from two different species of trees and compared this data in graphs and statistics. we needed to prove or decline that as trees grow larger there leavs get smaller due to the fluid flow within the tree TABLE OF CONTENTS Part A: INTRODUCTION EXPECTAIONS‚ PREDICTIONS AND ASSUMPTIONS PAGE 3 DATA SECONDARY DATA – STEM AND LEAF PLOT PAGE 4 SECONDARY DATA – LINE GRAPH AND OGIVES PAGE 6 SECONDARY DATA
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Determining the Enthalpy of Combustion of a Wood Chip IB Chemistry 12 September 18‚ 2014 Ryan Ingham Table 1: Raw data collected from the temperature probe and scale for the water‚ the aluminum can and the wood chip. (Quantitative) Quantity Initial Temperature (±0.1K) Final Temperature (±0.1K) Aluminum Can 46.29g (±0.01g) 296.5 314.7 Water 250g (±0.1g) 296.5 314.7 Wood Chip Before: 4.64g(±0.01g) After: 3.29g (±0.01g) NA
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Introduction Obesity can lead to various health problems. My school has decided to carry out a “Healthy Lifestyle Campaign” with the aim to create awareness among students about obesity-related health problems. The Body Mass Index (BMI) gives an indication of the physical state of person as being underweight‚ normal‚ overweight or obese. BMI can be calculated by using the following formula: BMI = History Body Mass Index (BMI) The body mass index (BMI)‚ or Quetelet index
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Grade 12 Term 3 Student Name: _______________________ ID#: ________________ Student Name: _______________________ ID#: ________________ Section: _____ 2012 2013 OBJECTIVES This project will involve students in: solving real world problems with the use of Trigonometric Identities (sum and difference of angles identities‚ double angle and half angle identities). evaluating limits algebraically. Task 1: COMMUNICATION Radio waves that pass through the same place at the same time
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Question1: Frequency Distribution. Histograms‚ Cumulative Frequency and Ogives. 1) a) 799 b) 1000 c) 900+9992 = 949.5 d) Lower Class Boundary=1100-0.5 =1099.5 Upper Class Boundary=1199.5+0.5=1199.5 e) 100 f) 76 g) 62400×100=15.5 h) 600-699‚ the fourth class has the largest frequency of 76. i)14+46+58400 ×100=29.5% j) 48+22+6400 ×100=19.0% k) 4002=200 200 lie in the fifth class interval 700-799 ∴The median lies in this interval. =l+n2-cff×h =700+200-19468×99 =708.735 l)
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GPS AND TRIANGULATION GPS calculation works on the principle of the receiver (example the handheld GPS receiver on car or mobile) calculating the distance of that receiver from a set of known points. 1) The receiver needs to receive a straight line signal (also called line of sight) from the known point without reflection. The best things that can do that are satellites overhead. 2) To enable that‚ the US department of defence has setup 24 low earth orbit (LEO) satellites. They are called the
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Venn Diagrams Paper Math 156 Jacqueline Burrell May 13‚ 2012 Evan Schwartz‚ instructor How Venn Diagrams Can Help Students in Math Venn diagrams are used in math to visually assist students when grouping real sets or implied ideas. The diagrams were invented by John Venn and are his only known accomplishments in the science of mathematical logic (Stapel‚ 2012). The diagram begins with all related information and is named the universal set. In this set all the known information pertaining
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9/8/2013 Math to me is very important because math is required in my major which is computer science. Also math is used in mostly every subject because it is a major aspect and needed necessity for our world today. Earth revolves around math because without it we would be really lost in the world. Math is the most important subject to me because it balances everything out and organizes everything. Also math helps all of the other subjects become a lot of simpler. Kids are starting to learn math at a
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