JUEC 初中 (2012 Past Year)
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This document contains solutions to several math problems involving algebra, geometry, and calculations with volumes. The key steps are shown for finding lengths, angles, ratios, and setting up and solving equations based on given information and diagrams. Quantities and expressions are manipulated algebraically to arrive at final numerical solutions.
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3. It explains completing the square to write quadratic equations in the form of x^2 = p such as (x - 7)^2 = -14 + 12 for x^2 - 14x + 12 = 0.
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Assignment1 solution
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Taemin Lee.
Dataknow Lab.
Computer Science Education Dept.
Korea University.
Adição e-subtração
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3. It also examines the LM curve relationship between money supply, price level, income, and the interest rate according to liquidity preference theory.
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The document contains instructions to transform addition problems into multiplication problems. It includes examples of addition problems with 2 being added different numbers of times, and asks the reader to write them as multiplication problems. It also includes a partially filled in multiplication table to complete.
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240 - Askhseis stis talantoseis
Παρουσίαση με ασκήσεις στις ταλαντώσεις
για διαδικτυακό μάθημα Φυσικής Προσανατολισμού Γ΄ Λυκείου
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SUEC 高中 Adv Maths (Probability) (Part 1).pptx
The document discusses random phenomena and probability. It defines a random phenomenon as one where individual outcomes are uncertain. It provides examples of sample spaces and sample points for events like goals in a game or coin flips. It also includes examples of calculating probabilities of certain outcomes occurring based on the sample space and equally likely outcomes, such as the probability of getting 3 heads in a row or having at least 1 head.
SUEC 高中 Adv Maths (Index Number).pptx
Visual - various maths sites (credits to original creator)
Questions - Dong Zong's Textbook
suitable for SUEC (Maths), SPM (Maths & Add Maths) too
SUEC 高中 Adv Maths (Statistic).pptx
Visual - various maths sites (credits to original creator)
Questions - Dong Zong's Textbook
suitable for SUEC (Maths), SPM (Maths & Add Maths) too
SUEC 高中 Adv Maths Revision (Earth as Sphere, Locus, Permutation, Combination,...
Visual - various maths sites (credits to original creator)
Questions - Dong Zong's Textbook
SUEC 高中 Adv Maths (Binominial)
Visual - various maths sites (credits to original creator)
Questions - Dong Zong's Textbook
suitable for SUEC (Maths) too
SUEC 高中 Adv Maths (Combination).pptx
Visual - various maths sites (credits to original creator)
Questions - Dong Zong's Textbook
suitable for SUEC (Maths), SPM (Add Maths) too
SUEC 高中 Adv Maths (Permutation) (Part 1).pptx
1. There are 6 math books and 5 language books on different shelves. The number of ways to choose 1 of each is 6 × 5 = 30.
2. There are 5 colors of tops and 4 colors of skirts. The total number of dress combinations is 5 × 4 = 20. There are 3 styles of shoes, so the total number of styles is 3.
3. The number of 3-digit numbers that can be formed without repeating digits is 100 × 99 × 98 = 9,702. The number of ways for 2 boys to sit in 5 chairs is 5 × 4 = 20.
SUEC 高中 Adv Maths (Locus) (Part 2).pptx
(1) The document discusses finding equations of tangent lines to circles and the intersections of those tangent lines. It provides examples of finding the slopes and equations of tangent lines given the circle's center and a point on the circle.
(2) Methods are described for finding the angles between two tangent lines to a circle based on their slopes. Examples are given of solving systems of equations to find the points where tangent lines intersect.
(3) One example determines the equation of a circle given that it passes through two known points and is tangent to another circle at a third point.
SUEC 高中 Adv Maths (Locus) (Part 1).pptx
This document contains mathematical equations and concepts related to geometry including:
- Equations of circles with given centers and radii
- Equations relating the distances between points on curves
- Systems of equations used to find intersection points of curves
- Distance ratios used to define loci and find their equations
SUEC 高中 Adv Maths (Earth as Sphere) (Part 2).pptx
The document contains calculations of distances between various geographic points using latitude and longitude coordinates. It includes the distances between points Q and A, which is 319.2 km, and the distance from a point at 42°N 33°27'E or 42°N 6°33'W to 40°N 33°47'E, which is calculated as 8,895.35 km or 4,800 nautical miles. It also contains a calculation using trigonometric functions that finds the distance between two points is 6,560 km or 3,540 nautical miles.
SUEC 高中 Adv Maths (Earth as Sphere) (Part 1).pptx
The document provides steps for calculating time differences and longitude differences between two locations:
1) Find the longitude difference between the two places.
2) Convert the longitude difference to time using 1 hour = 15 degrees.
3) Adjust the calculated time based on whether the longitude is East or West - add time if East, subtract if West.
SUEC 高中 Adv Maths (Orthographic Projection).pptx
Visual - various maths sites (credits to original creator)
Questions - Dong Zong's Textbook
SUEC 高中 Adv Maths (3D Trigo).pptx
This document contains calculations and solutions to trigonometry problems involving angles, sides of triangles, and distances. Various trigonometric functions are used to calculate unknown angles and distances. Measurements include distances between points, lengths of sides of triangles, angles of triangles, and distances between locations. The document demonstrates applying trigonometric concepts and relationships to solve for unknown values in different geometric scenarios and problems.
SUEC 高中 Adv Maths (Matrix) (Part 3).pptx
Visual - various maths sites (credits to original creator)
Questions - Dong Zong's Textbook
suitable for SUEC (Maths), SPM (Maths and Add Maths) too
SUEC 高中 Adv Maths (Matrix) (Part 2).pptx
Visual - various maths sites (credits to original creator)
Questions - Dong Zong's Textbook
suitable for SUEC (Maths), SPM (Maths and Add Maths) too
SUEC 高中 Adv Maths (Matrix) (Part 1).pptx
Visual - various maths sites (credits to original creator)
Questions - Dong Zong's Textbook
suitable for SUEC (Maths), SPM (Maths and Add Maths) too
SUEC 高中 Adv Maths (Exponential Equation, Log Function).pptx
Visual - various maths sites (credits to original creator)
Questions - Dong Zong's Textbook
suitable for SUEC (Maths), SPM (Maths and Add Maths) too
SUEC 高中 Adv Maths (Log Equation).pptx
Visual - various maths sites (credits to original creator)
Questions - Dong Zong's Textbook
suitable for SUEC (Maths), SPM (Maths and Add Maths) too
SUEC 高中 Adv Maths (Change of Base Rule).pptx
The document contains examples of solving various logarithmic and algebraic equations. It begins by solving equations involving logarithms such as logabc = loga bc - logb a ∙ logc a. It then solves equations involving logarithms of both sides being equal, leading to the determination that x = abc. Further examples include solving quadratic equations that arise from rewriting the original equations in terms of new variables, and determining the solutions for x in each case.
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SUEC 高中 Adv Maths Revision (Earth as Sphere, Locus, Permutation, Combination,...
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Chapter wise All Notes of First year Basic Civil Engineering
Syllabus
Chapter-1
Introduction to objective, scope and outcome the subject
Chapter 2
Introduction: Scope and Specialization of Civil Engineering, Role of civil Engineer in Society, Impact of infrastructural development on economy of country.
Chapter 3
Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
Linear Measurements: Instruments used. Linear Measurement by Tape, Ranging out Survey Lines and overcoming Obstructions; Measurements on sloping ground; Tape corrections, conventional symbols. Angular Measurements: Instruments used; Introduction to Compass Surveying, Bearings and Longitude & Latitude of a Line, Introduction to total station.
Levelling: Instrument used Object of levelling, Methods of levelling in brief, and Contour maps.
Chapter 4
Buildings: Selection of site for Buildings, Layout of Building Plan, Types of buildings, Plinth area, carpet area, floor space index, Introduction to building byelaws, concept of sun light & ventilation. Components of Buildings & their functions, Basic concept of R.C.C., Introduction to types of foundation
Chapter 5
Transportation: Introduction to Transportation Engineering; Traffic and Road Safety: Types and Characteristics of Various Modes of Transportation; Various Road Traffic Signs, Causes of Accidents and Road Safety Measures.
Chapter 6
Environmental Engineering: Environmental Pollution, Environmental Acts and Regulations, Functional Concepts of Ecology, Basics of Species, Biodiversity, Ecosystem, Hydrological Cycle; Chemical Cycles: Carbon, Nitrogen & Phosphorus; Energy Flow in Ecosystems.
Water Pollution: Water Quality standards, Introduction to Treatment & Disposal of Waste Water. Reuse and Saving of Water, Rain Water Harvesting. Solid Waste Management: Classification of Solid Waste, Collection, Transportation and Disposal of Solid. Recycling of Solid Waste: Energy Recovery, Sanitary Landfill, On-Site Sanitation. Air & Noise Pollution: Primary and Secondary air pollutants, Harmful effects of Air Pollution, Control of Air Pollution. . Noise Pollution Harmful Effects of noise pollution, control of noise pollution, Global warming & Climate Change, Ozone depletion, Greenhouse effect
Text Books:
1. Palancharmy, Basic Civil Engineering, McGraw Hill publishers.
2. Satheesh Gopi, Basic Civil Engineering, Pearson Publishers.
3. Ketki Rangwala Dalal, Essentials of Civil Engineering, Charotar Publishing House.
4. BCP, Surveying volume 1
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Denis is a dynamic and results-driven Chief Information Officer (CIO) with a distinguished career spanning information systems analysis and technical project management. With a proven track record of spearheading the design and delivery of cutting-edge Information Management solutions, he has consistently elevated business operations, streamlined reporting functions, and maximized process efficiency.
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His expertise extends across a diverse spectrum of reporting, database, and web development applications, underpinned by an exceptional grasp of data storage and virtualization technologies. His proficiency in application testing, database administration, and data cleansing ensures seamless execution of complex projects.
What sets Denis apart is his comprehensive understanding of Business and Systems Analysis technologies, honed through involvement in all phases of the Software Development Lifecycle (SDLC). From meticulous requirements gathering to precise analysis, innovative design, rigorous development, thorough testing, and successful implementation, he has consistently delivered exceptional results.
Throughout his career, he has taken on multifaceted roles, from leading technical project management teams to owning solutions that drive operational excellence. His conscientious and proactive approach is unwavering, whether he is working independently or collaboratively within a team. His ability to connect with colleagues on a personal level underscores his commitment to fostering a harmonious and productive workplace environment.
Date: May 29, 2024
Tags: Information Security, ISO/IEC 27001, ISO/IEC 42001, Artificial Intelligence, GDPR
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www.StokeNewingtonHistory.com
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JUEC 初中 (2012 Past Year)
- 1. p = 3𝑞(𝑟2−𝑠) 𝑟2 p𝑟2 = 3𝑞𝑟2 − 3𝑞𝑠 3𝑞𝑟2 − p𝑟2 = 3𝑞𝑠 𝑟2(3𝑞 − p) = 3𝑞𝑠 𝑟 = ± 3𝑞𝑠 (3𝑞 − p)
- 2. 𝑥 + 1 𝑥 − 1 2 ÷ 2 1 − 𝑥 3 × 1 − 𝑥 (1 + 𝑥)2 = (𝑥 + 1)2 (𝑥 − 1)2 × (1 − 𝑥)3 8 × 1 − 𝑥 (1 + 𝑥)2 = (1 − 𝑥)2 8(𝑥 − 1)2 × (1 − 𝑥)2 = (𝑥 − 1)2 8 (1 − 𝑥)2 = 1 + 𝑥2 − 2𝑥 (𝑥 − 1)2 = 1 + 𝑥2 − 2𝑥 (1 − 𝑥) = − (−1 + 𝑥) = (𝑥 − 1)
- 3. 𝑥 = ? Bank 1 : 7.5% 𝑥 3 = 22.5% 𝑥 Bank 2 : 7.3% 𝑥 3 = 21.9% 𝑥 Different = Bank 2 – Bank 1 = 0.6% 𝑥 saving = 0.6 100 𝑥 = 1800 𝑥 = 300,000
- 4. 𝑎 + 𝑏 𝑎 − 𝑏 = 4 𝑎 + 𝑏 = 4 𝑎 − 𝑏 3a = 5b 𝑎 𝑏 = 5 3 65 𝑎 , 𝑏 5 , 3 a = 65 x 5 = 325
- 5. 𝑎2 + 𝑏2 = 𝑐2 ∆𝐴𝐵𝐷 ∶ 𝐵𝐷2= 112 − 𝑥2 ----① ∆𝐵𝐶𝐷 ∶ 𝐵𝐷2 = 92 − 𝑦2 −−−−② ① = ② 121 - 𝑥2 = 81 − 𝑦2 𝑥2 − 𝑦2 = 40 (x+y)(x-y) = 40 (10) (x-y) = 40 (x-y) = 4
- 6. 12 D C 5 13 𝐷𝐸 = 8 C𝐸 = 13 − 8 = 5 perimeter = 12 + 8 + 8 + 5 + 13 = 46 cm
- 7. angle CBD = angle BCD = x angle ABD = angle ADB = y x + y = 90 y = 90 - x ∆𝐵𝐶𝐷 2𝑥 + 105 − 𝑦 = 180 2𝑥 + 105 − 90 + 𝑥 = 180 3𝑥 = 165 𝑥 = 55
- 8. 𝑎+𝑏+𝑐 3 = p 2𝑎 + 7 + 2𝑏 − 5 + 2𝑐 + 4 3 = (2a + 2b +2c +6)/3 = [2(a+b+c)]/3 + 2 = 2p + 2 = 2(p+1)
- 9. 𝑉 𝐶𝑢𝑏𝑜𝑖𝑑 = 1386 𝑉 Pyramid = 462 Total 𝑉 9(a) = 1848 1848 = 22 7 (72 ) ℎ ℎ = 12 cm