course Mth 152 I got an error message at the end of Assignment 26 so if something isn't answered that was suppose to be, let me know. Also, will you let me know if if I am missing any assignments. I plan to take my test this coming week so I can see where I stand with my grade. ?F????x???^???
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11:58:12 ?****? query 9.8.9?table of size ratio to scale factor for squares?****? What are the size ratios for scale factors 2, 3, 4, 5, 6 and 10, and what is the relationship between size ratio and scale factor?
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RESPONSE --> 2 -- 4 3 -- 9 4 --16 5 -- 25 6 -- 36 10 -- 100 They are squares of themselves
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11:58:14 ?????????????????????????17:18:19
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11:58:25 The size ratios for scale factor 2 is 4, for 3 it is 9, 4 is 16, 5 is 25, 6 is 36, 10 is 100. The size ratio is the square of the scale factor.
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RESPONSE --> That is what I got
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11:58:28 ?????????????????????????17:18:19
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12:00:03 ?****? Explain in your own words why this relationship exists.
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RESPONSE --> Because when you add the new squares you have 2 squares by 2 sqares so you mutiply them to get the number of total square 4 or you can square the number 2^2 is 4
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12:00:05 ?????????????????????????17:44:38
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12:00:37 In order to form a larger square by adding to the smaller one it must have the same number of edges across the top, bottom, and both sides to stay square. The size or the area of the square is found by multplying the length times the width. A square's length is the same as its width, so all you are doing is squaring one side to get the size.
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RESPONSE --> They have to match vertically and hortizonally
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12:00:39 ?????????????????????????17:44:39
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12:00:41 ?????????????????????????17:44:40
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12:09:31 ?****? query 9.8.15 putting unit cubes together to make next larger cube?****? What are the scale factor and size ratio for the two cubes?
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RESPONSE --> 2^2 = 4
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12:09:33 ?????????????????????????17:46:23
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12:10:55 The scale factor is 2 and the size ratio is 8.
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RESPONSE --> I don't know why I said 4, I see what I did wrong. The face to face would require more
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12:10:57 ?????????????????????????17:46:23
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12:10:59 ?????????????????????????17:46:28
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12:19:21 ?****? query 9.8.18 dimension of cube?****? What is the dimension of a cube?
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RESPONSE --> The dimension would be three
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12:20:26 The dimension of a cube is the length times the width times the height. A cube with a scale factor of 2 would have a size ratio of 2 * 2 * 2 or 2^3.
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RESPONSE --> I came up with three because in looking at the cube in the book it is three dimensions when you look at it.
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12:21:15 ?****? How does the relationship between size factor and scale factor tell you that the cube is 3-dimensional?
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RESPONSE --> dimension is scale factor = new size/old size
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12:21:16 ?????????????????????????17:51:16
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12:21:21 Because you have to cube the scale factor to get the size ratio.
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12:21:23 ?????????????????????????17:51:17
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12:21:25 ?????????? ???????????????7:51:18
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12:24:16 ?****? query 9.8.24?Sierpinski gasket?****? What are the length factor and the size factor for this figure, and what two whole numbers therefore must its dimensions therefore lie between?
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RESPONSE --> Stage 3 would be 7 x 7 so it would be 49
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12:24:18 ?????????????????????????17:59:10
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12:24:45 ** If you double the length you get 3 additional copies of the original figure. So length factor and size factor are 2 and 3. The dimension is the number such that (scale factor) ^ dimension = size factor. For example for the cube a doubling of scale factor increased size factor to 8 times its original value. This gives us the equation 2^d = 8, and as we saw above d = 3 for a cube. Here scale factor is 2 and size factor is 3 so we need to find d such that 2^d = 3. Since 2^1 = 2 and 2^2 = 4, d must be between 1 and 2. **
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RESPONSE --> I had problems with the squares but I see how you got the answer now.
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12:24:47 ?????????????????????????17:59:11
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12:25:55 ?****? When you double the scale of the gasket by doubling its width, how many new copies of the original figure do you get?
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RESPONSE --> You would have the old number cubed
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12:25:57 ?????????????????????????18:02:56
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12:26:00 ** You get 3 copies of the original figure. **
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12:26:02 ?????????????????????????18:02:57
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12:26:31 ?****? Since a doubling of a scale increases size by factor 3, is the dimension greater or less than 1, and is the dimension greater or less than 2?
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RESPONSE --> I think the dimension are greater than 1 and 2
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12:26:33 ?????????????????????????18:12:47
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12:26:40 *&*& If the dimension was 1 then doubling the scale would double the size. If the dimension was 2 then doubling the scale would give you 2^2 = 4 times the size. Since doubling gives you 3 times the size, the dimension must be greater than 1 and less than 2. *&*&
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12:26:42 ?????????????????????????18:12:48
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12:27:02 ?****? What equation would you solve to get the dimension?
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RESPONSE --> Scale factor = new size/old size
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12:27:04 ?????????????????????????18:16:44
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12:27:13 ** The equation (see above note) is 2^d = 3. The solution is about d = 1.59, as you say below. **
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12:27:14 ?????????????????????????18:16:45
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12:27:38 ?****? Note that the equation is 2^d = 3.?What approximate value of d makes this equation true?
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RESPONSE --> d = 1
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12:27:39 ?????????????????????????18:18:07
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12:27:43 *&*& By trial and error we find that d = 1.585 comes close to making this equation true. *&*&
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12:27:45 ?????????????????????????18:18:08
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12:27:48 ?****? Query? Add comments on any surprises or insights you experienced as a result of this assignment.
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12:27:50 ?????????????????????????18:21:07
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