The graph of a quadratic function is called a parabola. ... The vertex of a parabola is either the lowest point on the graph or the highest point of the graph. ... The graph of f is a parabola. ... Factoring x2 + bx + c: To factor an expression in the form ax2 + bx + c where a=1, look for the integers r and s such that r*s=c and r+s=b. Then factor the expression. x2+bx+c=(x+r)(x+s) Factoring the Difference of Two Squares: a2-b2=(a+b)(a-b). ...

• Word Count: 505
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• Grade Level: High School

Mass (g) Radius (cm) Time (s) Avg. Time (s) Time w/out masses (s) Avg. ... In graph two, the relationship of inertia vs. radius is shown, and in graph three, the log of inertia vs. the log of radius is shown. Graph two is to show a parabolic curve, or a power law form. ... Mass (g) Radius (cm) Time (s) Time w/out weights (s) Total 1 (g*cm Syst. ...

• Word Count: 781
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• Grade Level: High School

The graph which was conducted showing the rate of only teenage abortions aged 15-19 from the years of 1980 - 2000 shows that teenage abortion was actually at it's highest point in 1980. ... The second graph is the same data as the line graph, but it clearly shows the percentage of teenage girls aged 15-19 who got pregnant and had an abortion. This graph shows that the steadiness of abortions being faced is still at about 33% of all pregnancies, which is nearly 1/3. ... The data collected and put into the form of the graph have shown positive results among the history of abortions. ...

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The graph which was conducted showing the rate of only teenage abortions aged 15-19 from the years of 1980 - 2000 shows that teenage abortion was actually at it's highest point in 1980. ... The second graph is the same data as the line graph, but it clearly shows the percentage of teenage girls aged 15-19 who got pregnant and had an abortion. This graph shows that the steadiness of abortions being faced is still at about 33% of all pregnancies, which is nearly 1/3. ... The data collected and put into the form of the graph have shown positive results among the history of abortions. ...

• Word Count: 940
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The graph which was conducted showing the rate of only teenage abortions aged 15-19 from the years of 1980 - 2000 shows that teenage abortion was actually at it's highest point in 1980. ... The second graph is the same data as the line graph, but it clearly shows the percentage of teenage girls aged 15-19 who got pregnant and had an abortion. This graph shows that the steadiness of abortions being faced is still at about 33% of all pregnancies, which is nearly 1/3. ... The data collected and put into the form of the graph have shown positive results among the history of abortions. ...

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Materials and Methods Materials: 1) One set of 10 pennies ranging from the year 1970's to the late 1980's. 2) An Graduated cylinder 3) An electronic balance 4) Assorted beakers and Erlenmeyer flasks 5) Assorted test tubes 6) Pipettes Methods: We gathered our materials and began our experiment. ... Results See graphs!! ...

• Word Count: 327
• Approx Pages: 1
• Grade Level: High School

INVESTIGATION OF THE FACTORS AFFECTING THE TIME PERIOD OF A SIMPLE PENDULUM I will begin with an explanation of motions and Galileo's discovery of motion under gravity: Galileo's insight was that all bodies fall equally fast in a gravitational field. "Falling in space,"" means simply following...

• Word Count: 5681
• Approx Pages: 23
• Grade Level: High School

(Vo) Reaction time (min) Product concentration (µM) (using [S]=0,05 mM) Product concentration (µM) (using [S]=0,5 mM) 0 0 0 2,5 8,77 29,2 5 19,7 58,4 10 34,8 117 20 40 132 40 42,5 143 Table 1 In experiment 2, we determined the optimal temperature for AP, alkaline phosphatase. ... For example Blank: B 0oC, Sample: S 0oC, B 20oC, S 20oC and so on. ... In this graph below we see the linear progression of our product formation curves during the first 10 min of the reaction, until the linear line started to deviate. ... Graph 1. ... Graph 2. ...

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• Grade Level: High School

When the cup(s) first falls there is a force from the weight of the cup(s) but very little drag because the cup(s) is moving slowly and air resistance is small. ... If 1 cup falls at 1 m/s then 5 cups might fall at 5 m/s and 10 cups will fall at 10m/s. ... These will then give me a series of times which I will be able to transfer onto a number of cups against time graph. ... The line of best fit on my graph also roughly made an accurate line of best fit although I may have to repeat two investigations because they obviously seen by the graph are not accurate. ... When the cup(s) ...

• Word Count: 1138
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• Grade Level: High School

The beaker will be filled with Na S O and water via two measuring cylinders and placed on the A4 paper marked with a cross. ... Results There are two graphs behind this sheet of paper. ... And then multiplied by 10 000 to make it easier to deal with and to plot on the graph. ... I have made two graphs for the reason that the first table shows time taken for cross to be obscured and the second shows rate of reaction. There are two graphs for the first results table to show the difference in time taken and rate of reaction i.e. the time taken for cross to be obscured shows negative correlation...

• Word Count: 977
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• Has Bibliography
• Grade Level: High School

ALZHEIMER"S DISEASE The reason that I chose Alzheimer's diseases as the disease that I will report on is because I felt that it is a very fascinating and common disease within people over the age of 60. ... FOR MORE DETAILED INFO ON THE DISEASE SEE BEHIND + THERE IS AN INTERESING GRAPH THAT SHOW THAT FEMALES ARE MORE LIKEY TO GET ALZHEIMER"S THAN MALE"S...

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When sulphuric acid is added to the sludge, the iodine ions are oxidised: 2I‾ (s) + 3H2SO4 (l) à I2 + 2H2O (l) + SO2 (g) + 2HSO4‾ (s) 8I‾ (s) + 4H+ (aq) + 5H2SO4 (l) à H2S (g) + 4HSO4‾ (s) 4I2 (g) + 4H2O (l) As newer processes were developed they replaced the older methods as they were quicker, more efficient and sometimes cheaper. Graph 1 on the following page shows the annual production of chlorine, sodium hydroxide, hydrogen and iodine in tonnes per annum . This graph shows that the production of chlorine, sodium hydroxide and hydrogen are co...

• Word Count: 1092
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• Grade Level: High School

So the MP Lambda S work was broadened to cover every existing switching technology such as fiber switching, TDM, layer 2 switching, and packet/frame/cell switching technologies. ... Consider a network as a directed graph whose nodes are network elements (like MPLS switches) and whose edges are links (fibers, cables, etc.). Each edge in the graph has some associated attributes such as IP addresses, cost, and unreserved bandwidth. ... This updated scenario of the graph is named as the link state database. ... Let's say that optical LSP being set up has a bandwidth of 2.488 GB/s. ...

• Word Count: 1774
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• Has Bibliography
• Grade Level: Undergraduate

In Column 1 next to that number put the number 1 and press enter, a new number will appear, put a 1 next to that number etc The amount of 1's you have typed will in the top of Column 1 - continue until 30. 3. ... To get my data and graphs I am going to sort and filter data from the key Stage 4 information. ... Bar Graph to show the Average Weight for each TV Hrs category. [See following sheets] The graph of the Frequency of Hours watched showed me that the most popular amount of hours of watching TV is between 11 and 15 hours, shown on the graph as 24%. ... The graphs that I am going ...

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• Grade Level: High School

Moving the beam at a faster rate generates a graph that can be displayed as lines. The movement of the electron beam on horizontal axes at a constant rate generates a graph of voltage versus time. ... The standard speed of sound at normal temperature and pressure is 34000 cm/s. The average measured speed of sound in this experiment was the slope of the graph between distance and time. The value of measured speed of sound was 35903 cm/s. ...

• Word Count: 993
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• Grade Level: Undergraduate

Once I had done the graph I realised that I had a few results were anolomisys. The shape of my graph was going up fast at first then it slowed down. Here are a few points about rates of reaction: Rates of reaction I will be comparing rates of reaction for1 minuet on my graph. The 1 minuet I will be comparing will be from 4mins -5mins. 4 Mins 39/240= 0.1625 CM3/s 4Mins20Secs 43/260= 0.1653846 Cm3/s 4Mins40Secs 47/280= 0.1678571 Cm3/s Evaluation I think my method was a suitable one although I think I could have added more Marble chips to make the rate of reaction a littl...

• Word Count: 888
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• Grade Level: High School

(Weiss 2001) V=[S]1-[S]2 T1-T2 S= molar concentration of substrate T= initial time The enzyme catalase is used in this experiment to lower activation energy while slowing down the oxidation reduction of H2O2. ... Rate = [peroxide]1-[peroxide]2 Time 1- Time 2 The graph, Molar Concentration H2O2 vs. Time appears as linear.Therefore to find peroxide 1 and 2; follow vertically up the graph to an intersection that is horizontal to the to the vetically plotted time points. ... Graph one showed a linear relation...

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• Grade Level: High School

Through the usage of the vertical line test, a curve on a plane is the graph of a function if the line does not intersect the curve in more than one point. ... Mathematical induction can be uses as a way of proving that certain rules are true for all positive integers; Axiom of Induction: where S is a subset of positive integers where a) 1 S, and b) k S implies that k + 1 S, then all positive integers are in S. ... It is clear that f (x) must also approach L as xàa because the graph of f lies between the graphs of g and h. ... If a function is continuous over an interval, its graph can be...

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Due to this scale, the theoretical relation between IRHD and log E is given by a sigmoidal (or "S") shaped curve. ... Log E Graph 1: IRHD vs. ... Graph 2: £ vs. the slope = E/3 Graph 3, like Graph 3 allows the modulus to be read from the slope for the filled samples Graph 3: £ vs. ... As can be seen from graph 4 the effect of cure time seems to...

• Word Count: 1650
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• Has Bibliography
• Grade Level: High School

Graph (i) shows the progressive inflation rate of Australia compared to the rates of three leading economies - those of the United Kingdom, the United States and Japan. ... All economies have seen inflation decline throughout the 1990's, with drastic decreases in the early part of the decade as a global economic recovery stabilized world markets. ... This indicates that Australia, despite having a comparatively lower mean rate of inflation than many OECD member nations, experienced a greater degree of fluctuation in these rates throughout the 1990's. ... Better analysis is...

• Word Count: 777
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• Grade Level: Undergraduate

Results: The corresponding graphs can be found on following page(s). Fig. 1: The graph shows an increase in the reaction rate as the enzyme concentration increases. ... Fig. 2: The graph shows the increase of the substrate concentration generates an increase in the rate of the reaction. ... Fig. 3: The graph shows the absorbance increasing briefly then decreasing as the temperature increases. ... s 1 and 2). ...

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• Grade Level: High School

• The graph at the bottom shows a typical firm in a monopolistically competitive industry in long run equilibrium. Profits are zero owner(s) is (are) earning a return equal to their next best opportunity. ... Graph 2 • The increase in demand leads to an increase in both price and output as shown to the right. ... Graph 3 • Since we are investigating monopolistic competition with free entry, this can't possibly be a long run equilibrium. ... Graph 4 • The exit of competitors means existing firms see their demand and marginal revenue curves shifting upward. ...

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Cars were improved dramatically through out the 1920's. ... But the most popular entertainment of the 1920's was the cinema. ... The beach also became very popular during the 1920's. ... In the early 1920's the prices were good due to post war shortages. ... Analysis This graph shows the total value of wool and wheat exports for the later part of the 1920's. ...

• Word Count: 1606
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• Grade Level: High School

AI Planning under uncertainty "It is the mark of an instructed mind to rest satisfied with that degree of precision which the nature of the subject admits, and not seek exactness where only an approximation of the truth is possible."" Aristotle Introduction The aim of this essay is to describe the role that uncertainty plays within the field of AI planning. This essay is aimed at undergraduate computer scientists with little previous knowledge of the topic. To describe this field it is necessary to give a brief description of what AI planning is and what it is used for, and then to descr...

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• Has Bibliography
• Grade Level: High School

The differential values were taken (experimentally) from graphs, where values will always differ depending over which region you determine the slope, this is obviously expected and trivializes the errors. ... These errors arise from uncertainties in the process of measurement, i.e the observer(s) eyesight when taking the readings, did they read from a horizontal viewpoint. ... If we look at [G.2] we can see an oddity occurring at the "4kg" loading value, where there is a slight deviation from linearity for both graphs. ... One can also note from graphs [G.1&2] is the significant difference bet...

• Word Count: 1320
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• Has Bibliography
• Grade Level: High School