Slope intercept & direct variation
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This document covers direct variation and slope-intercept form in algebra. It provides examples of direct variation word problems and their equations. It also gives examples of finding the slope and y-intercept of equations in slope-intercept form. Finally, it has students write equations in slope-intercept form from given slope and y-intercept values or word problems.
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4 lesson 1 6 ratio and proportion problems
This document provides examples and explanations of different types of variation problems involving ratios, proportions, direct variation, inverse variation, and joint variation. It defines key terms like ratio, proportion, direct variation, inverse variation, and joint variation. It shows how to write algebraic equations to represent different variation statements and provides sample problems to practice determining unknown variables based on given variation relationships.
(8) Lesson 3.3
1. The document provides examples of finding slopes of lines from given points and determining if points form a parallelogram. It also discusses direct variation relationships and using equations, tables, and graphs to represent and compare them.
2. A constant of variation in a direct variation relationship is the constant that relates the ratio of the output quantity to the input quantity. It represents the unit rate or slope in the direct variation equation and graph.
3. Graphs are helpful for comparing different proportional relationships represented in different ways and finding the unit rate between quantities in a relationship from its graphical representation.
Systems of equations and matricies
This lecture discusses systems of linear equations and matrices. It introduces systems of two equations with two unknowns and methods for solving them, including graphing, substitution, and elimination. It then discusses terminology for consistent, independent, dependent, and inconsistent systems. The lecture presents the method of elimination by addition for solving systems and provides examples. It also gives an application involving rates and a supply and demand example. Finally, it introduces matrices and how they can be used to represent and solve systems of linear equations through row operations on the associated augmented matrix.
C10 10.2
The document discusses direct variation and provides examples of quantities that do and do not vary directly. It explains that two quantities vary directly if their ratio remains constant as their values change. Several word problems are worked through as examples, applying the concept of direct variation to calculate unknown values given certain ratios or rates that remain constant.
(8) Lesson 4.1
1. The document provides examples for writing equations to model linear relationships between quantities using words, tables, graphs, and ordered pairs.
2. Equations can be used to find output values for a relationship given any input value. Examples show writing equations and using them to calculate values.
3. Modeling relationships allows quantities and their relationships to be represented and understood in multiple ways including visually with tables and graphs.
Lecture3
The document discusses systems of linear equations and matrices. It introduces various methods for solving systems of two equations with two unknowns, including graphing, substitution, and elimination by addition. It provides examples of using substitution to solve systems and discusses when methods are preferred. The document also introduces key terminology for systems and discusses applying systems to word problems in areas like supply and demand. Matrices are introduced as a way to represent larger and more complex systems of linear equations that can be manipulated and solved.
Regla de 3 simple y compuesta
This document discusses different types of proportional relationships between two or more variables, including direct, inverse, and multiple proportionality. It provides examples of directly and inversely proportional functions, explaining that a directly proportional function results in a constant ratio between variables in each row, while an inversely proportional function results in a constant product. The document also introduces the concept of compound proportionality between three or more variables and shows how to solve problems using direct and inverse rules of three.
Honors precalc warm ups
This document contains a collection of math problems and warm-ups covering topics like geometry, trigonometry, algebra, and calculus. There are over 30 problems presented without solutions for students to work through. The problems involve finding areas and perimeters of shapes, solving equations, working with functions, and more.
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Event Link:- https://meetups.mulesoft.com/events/details/mulesoft-mysore-presents-mule-event-processing-models/
Agenda
โ What is event processing in MuleSoft?
โ Types of event processing models in Mule 4
โ Distinction between the reactive, parallel, blocking & non-blocking processing
For Upcoming Meetups Join Mysore Meetup Group - https://meetups.mulesoft.com/mysore/YouTube:- youtube.com/@mulesoftmysore
Mysore WhatsApp group:- https://chat.whatsapp.com/EhqtHtCC75vCAX7gaO842N
Speaker:-
Shivani Yasaswi - https://www.linkedin.com/in/shivaniyasaswi/
Organizers:-
Shubham Chaurasia - https://www.linkedin.com/in/shubhamchaurasia1/
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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
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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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