States and southern Canada to earn points as well as completing routes designated on the destination tickets. The game itself is not only a fun way to spend hours playing but it is also a good tool to showcase various concepts in graph theory and combinatorics. Graph theory may also be useful in creating or enhancing game play strategies. Set Up and Game Play The original version of the game has a map of the United States and southern Canada with 30 destination tickets. An expansion to the original
provided with some reels of resistance wire and are asked to plan and carry out an investigation to help the electrician solve this problem. When your investigation has been concluded you discover that a resistance of 28.5 ohms is also required to complete the repair. Show how you use the data from your investigation to also obtain this resistance. Introduction As mentioned in the previous page, an electrician wants two resistances: 1.9 ohms and 28.5 ohms. I am to find out how to do this.
A kinetic study of the reaction between aqueous sodium thiosulphate and hydrochloric acid Aim: To carry out a complete kinetic study of the reaction between aqueous sodium thiosulphate and hydrochloric acid: Equation: Na2S2O3(aq) + 2HCl(aq) 2NaCl(aq) + S(s) + SO2(g) + H2O(l) PART A To deduce the order of the reaction with respect to the concentrations of sodium thiosulphate and hydrochloric acid the experiment will be carried out at constant temperature and the time interval between the addition
==== I’ve been given 60 pieces of data from pupils, about their height and foot size. I will be using a piece of software called Fathom where I will place this information into a scatter graph, to see whether or not my hypothesis is correct. Fathom will produce a line of best fit on my graph and tell me what my r-value is. The r-value shows the product moment correlation coefficient. I am expecting a positive correlation. To prove that my hypothesis is correct, I am looking for a product
length and the extensions are the same in both springs. So this means that T1 = k1x and T2 = k2x. So by knowing this, you get the formula: F = k1x + k2x = x (k1 +k2). So overall, the spring constant for the two springs is k1 + k2. For the graph, my prediction is the same as for a single spring as mentioned earlier but with a different constant. Springs In Series: In this diagram, T1 is the tension in spring 1, and T2 is the tension is spring 2. If I ignore the mass of the 2nd spring
rubber band was used for the extension. 6.5 5 11.9 6 19.5 7 [IMAGE]28.2 8 40.9 9 64.8 10 71.6 11 80 12 103.2 13 122.1 14 139.9 Preliminary graph - Commenting on my preliminary work - From the preliminary results and the graph I can already see a pattern forming. The pattern is that the more force I apply the rubber band (therefore moving back more on the scale), the length that the mass travels also increases. This means that
is produced from using certain amounts of calamine (1g-9g) Mass Of ZnCO₃ (g) Mass of ZnO Produced (g) 1 0.648 2 1.296 3 1.944 4 2.592 5 3.24 6 3.888 7 4.536 8 5.184 9 5.832 Here is a graph of the results predicted from the table………… This experiment is going to see how much zinc oxide can be obtained from calamine. It shall also show how close to the conversion can be achieved in practice. Hypothesis In a previous experiment
To make this a fair test I have to use the same type of paper to make my spinner, in this case I am using graph paper. I have to keep the same amount of paper clips attached to the spinner, I also have to keep the height that I drop the spinner from (2.5 metres), and I also want to use the same stopwatch so it gives off the right time and at
in seconds that it takes one wavelength to pass by. In this time the medium will complete one oscillation. The frequency f of the wave is the number of wavelengths that pass each second. Frequency and period are reciprocals. T = 1/f. The speed of a wave is equal to its frequency times its wavelength. A displacement/position graph shows the displacement of the different sections of a medium. A displacement/time graph shows the displacement of one point of a medium as time elapses. The speed of the
number of hidden faces for other rows of cubes. I started by drawing out the outcomes for the first nine rows of cubes (below): [IMAGE] I decided to show this information in a table (below): [IMAGE] I decided to show this information on a graph (below): [IMAGE] From this information I have noticed that the number of hidden faces are going up by three each time. In order to find the number of hidden faces for other rows of cubes, it is necessary to have a rule. [IMAGE][IMAGE]Row
information used to base decisions from. Charts can be valuable when a need to represent numerical data would benefit communicating information visually. Some of the most important aspects of a good chart are to select the right type of chart (or graph) that can best characterize the data, also, to keep the design simple in order for an audience to easily understand the information. One of the most popular types of charts is the pie chart. The pie chart is used to visually represent the proportional
the single spring. This also means that if the resulting extension or spring length of the spring sets are graphed along a y axis with the increasing force mapped to the x axis (so that the results can be displayed in a traditional scientific graph fashion), the gradient will be the inverse of the spring constant. This hypothesis is backed up by many sources, one such source is "Physics" by Ken Dobson, David Grace and David Lovettwhich in the 2000 edition states on page 90 that the spring
to certain cloudiness. In this investigation, we will need to measure the time of the reaction, so we can make a rate for it, to do this we use the formula, - rate = 1/time * 1000, we use the *1000 so that it is a manageable number to plot on a graph if necessary. It is generally measured in time, as this is the only means possible to us; however you must be careful because as heat is a catalyst, it strongly affects the rate as you will see in the results, so we have to try and keep it the
the values of a square, y=x therefore: [IMAGE] c V 1 324 2 512 3 588 4 576 5 500 6 384 7 252 8 128 9 36 Unfortunately the value I have chosen for x (20) does not show a very accurate graph, I will now chose a number of values that show a better
gets. Unlike analog music, digital music can be copied over and over again. Digital music, such as CDs and MP3s are made up of bits, which are 1s and 0s. You can infinitely copy 1s and 0s correctly, but imagine trying to copy something like the graph of ... ... middle of paper ... ...ter the search of a song will be one to take you directly to the artist’s website. This will allow users to find out more about the artist. While on the website, a fan could find out that a band or artist is
T-Total = 4 + 5 + 6 + 14 + 23 = 52 [IMAGE] This number should = 5n - 63 T-Total = 5n - 63 = (5 x 23) - 63 = 115 - 63 = 52 We can see that the two T-Totals (shortened to TT's) are equal. I shall next test this equation on a 10 x 10 graph to see if it works. [IMAGE] TT = 1 + 2 + 3 + 12 + 22 = 39 & TT = 5n - 63 = (5 x 22) - 63 = 110 - 63
Direct marketing The definition of DM is very complicated but it is simply selling a product or service via direct advertising sent through the mail, and also via several Internet promotion methods. The direct selling method enables the consumers to bypass inefficient wholesale and retail distribution systems. Women who left business in order to have children is able to do part time business, and also a very attractive career for woman reentering the work force. According to the “Direct selling
different face in every work. There is never a clearly definitive picture that identifies Arthur's character. It is therefore necessary to look at a few different sources to get better insight into the character of Arthur, the once and future king. GRAPH Arthurian literature can be divided into two basic categories, pseudo-histories and romances. The main difference between the two is that pseudo-histories such as Wace and much of the Celtic work, for example, Geoffrey of Monmouth show Arthur as
society. Wireless Communications is in the grand scheme of technological development, a rather recent event. But the quickness to which the market of cellular phones has expanded shows that some people have definitely embraced it as a positive. The graph on the following page shows the rapidity of America's love affair with the cell phone. Radio Telephone technology started in 1977 when Motorola, American Radio Telephone, and AT&T were licensed by the FCC to develop a high capacity radio telephone
reaction was because the more particles there were to collide and break old bonds and make new bonds. Also if the temperature was higher the particles would move around faster because they have more energy and would also cause more effective collisions. GRAPH Fair Test: The experiment will ... ... middle of paper ... ... anomalies within the experiment and this may have been caused by the stirring or the timer being started and stopped wrongly. I think that our group had a good method because our