The stalk of the new potato grows from the eye, and it has to grow upward in order to reach the sunlight. If you planted it with the eye facing down, it would only have to curve around in order to grow upward, and that would be a pointless inefficiency.
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When freshly potato pieces are planted fresh, it invites disease and may rot. When the potatoes grow, the stem shoots upward. Planting them with the eye facing up helps guide potato seedlings so they can break through the soil upward the sun.
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You can cut the string into 15 total pieces.
If a cube of jello is cut into two pieces the density of the pieces do not change.
To cut a cube into 504 identical pieces, you would need to make 503 cuts. Each cut divides the cube into two pieces, so the first cut creates 2 pieces, the second cut creates 4 pieces, the third cut creates 8 pieces, and so on. Therefore, to reach 504 pieces, you would need to make 503 cuts.
Cut a pizza into 2 using one straight cut. Stack the pieces and make a straight cut: you now have 22 = 4 pieces from 2 cuts. Stack these and make a straight cut: you now have 23 = 8 pieces from 3 cuts. Continue. After 7 cuts you can have 27 = 128 pieces. You can reduce the number of pieces to 29 if, after the fourth cut, you stack and cut only 11 pieces and thereafter cut just one each time. There are other options which give the same result.
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