that a line on a Cartesian graph is approximately the distance y in feet a person walks in x hours. What does the slope of this line represent? How is this graph useful? Provide another example for your colleagues to explain. The slope of the line represents the speed of the person in feet per hour. This graph is useful because it provides a visual representation of the continuous motion of the person walking‚ something that could not provided by something like a bar graph. In a bar graph‚ the sheer
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calculating the slope of a secant line between two points. Finding the average rate of change of a secant line is similar to finding the slope of two given points. The formula to find the slope of a secant line is the change of “y” divided by the change of “x”‚ so this is use to calculate the change over time in a given function. When finding the average rate of change of any interval‚ it doesn’t necessarily have to be a line there are other applications too. For example‚ a graph that is not a linear function
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Applications of Graph Theory in Real Life Sharathkumar.A‚ Final year‚ Dept of CSE‚ Anna University‚ Villupuram Email: kingsharath92@gmail.com Ph. No: 9789045956 Abstract Graph theory is becoming increasingly significant as it is applied to other areas of mathematics‚ science and technology. It is being actively used in fields as varied as biochemistry (genomics)‚ electrical engineering (communication networks and coding theory)‚ computer science (algorithms and computation) and operations
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History Mathematicians have known about pi for thousands of years because they have been working with circles for the same amount of time. Civilizations as old as the Babylonians have been able to approximate pi to many digits‚ such as the fraction 25/8 and 256/81. Most historians believe that ancient Egyptians had no concept of π and that the correspondence is a coincidence.[4] The first written reference to it dates to 1900 BC.[5] Around 1650 BC the Egyptian Ahmes gave a value in the Rhind Papyrus
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NAME_________________________________ STAMP________________ PERIOD____ PICTURES & GRAPHS A. The Atom 1. Calculate the average atomic mass using the spectrum below. 2. Answer the questions regarding the energy level diagram shown. a) The emission lines for the series above are in the IR‚ Vis and UV regions. Match the series with the region and justify your choice (FYI – AP you do not need to memorize the names of the series. IB will need to know then for next year). b) Would the wavelength
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PROBLEMS 2. Control charts for X and R are to be established on a certain dimension part‚ measured in millimeters. Data were collected in subgroup sizes of 6 and are given below. Determine the trial central line and control limits. Assume assignable causes and revise the central line and limits. |SUBGROUP NUMBER |Xbar |R |SUBGROUP NUMBER |Xbar |R | | |20.35 |0.34
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Analysis of Potential Industry Earnings (PIE) Potential Industry Earnings(PIE); the final value a company can expect‚ which is the value to the customer‚ less the value of the resources used to make the goods/services which the customers value. To examine this value more‚ it is essential to understand the determinants of it. First‚ competition is a major factor in determining PIE. The level of the competition within the industry determines the price of the products/services a company sells‚ as
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increased‚ the acceleration also increases. The acceleration is directly proportional to the sine of the incline angle‚ (. A graph of acceleration versus sin( can be extrapolated to a point where the value of sin( is 1. When sin is 1‚ the angle of the incline is 90°. This is equivalent to free fall. The acceleration during free fall can then be determined from the graph. Galileo was able to measure acceleration only for small angles. You will collect similar data. Can these data be used in
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Trees and Graphs Pat Hanrahan Tree Drawing Page 1 Why Trees? Hierarchies File systems and web sites Organization charts Categorical classifications Similiarity and clustering Branching processes Genealogy and lineages Phylogenetic trees Decision processes Indices or search trees Decision trees Tournaments Two Major Visual Representations Connection: Node / Link Diagrams Containment / Enclosure F6 G6 H6 J36 U8 B10 C30 L7 M7 V12 O4 P4 Q4 R4 S4 T4 W8 Page
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Graphs and Function What is the relation between the graphs and function and how was it applied in the real world? Graphs are frequently used in national magazines and newspaper to present information about things such as the world’s busiest airports (O’Hare in China is first‚ Heathrow in London is sixth)‚ about the advertising-dollar receivers in the United States (newspaper are first‚ radio is fourth) and about NCAA men’s golf team title winner (Yael is first‚ Houston is second). The
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