Answer:the condition that distinguishes animals and plants from inorganic matter, including the capacity for growth, reproduction, functional activity, and continual change preceding death.
Explanation:
the condition that distinguishes animals and plants from inorganic matter, including the capacity for growth, reproduction, functional activity, and continual change preceding death.
A monkey has filled in a 3 × 3 grid with the numbers 1, 2,. . . , 9. A cat writes down the three numbers obtained by multiplying the numbers in each horizontal row. A dog writes down the three numbers obtained by multiplying the numbers in each vertical column. Can the monkey fill in the grid in such a way that the cat and dog obtain the same lists of three numbers? what if the monkey writes the numbers 1, 2,. . . , 25 in a 5 × 5 grid? or 1, 2,. . . , 121 in a 11 × 11 grid? can you find any conditions on n that guarantee that it is possible or any conditions that guarantee that it is impossible for the monkey to write the numbers 1, 2,. . . , n2 in an n × n grid so that the cat and the dog obtain the same lists of numbers?
Yes, it is possible for the monkey to fill in the 3 x 3 grid in such a way that the cat and dog obtain the same lists of three numbers.
What if the monkey writes the numbers 1, 2,. . . , 25 in a 5 × 5 grid? or 1, 2,. . . , 121 in a 11 × 11 grid?For example, the monkey could fill the 3x3 grid with the numbers 1, 4, 7; 2, 5, 8; and 3, 6, 9.Yes, it is possible for the monkey to fill in the 5 x 5 grid with the numbers 1, 2, ... , 25 in such a way that the cat and dog obtain the same lists of three numbers. For example, the monkey could fill the 5x5 grid with the numbers 1, 8, 15, 22, 25; 2, 7, 16, 21, 24; 3, 6, 17, 20, 23; 4, 5, 18, 19, 12; and 9, 10, 11, 14, 13.Yes, it is possible for the monkey to fill in the 11 x 11 grid with the numbers 1, 2, ... , 121 in such a way that the cat and dog obtain the same lists of three numbers. For example, the monkey could fill the 11x11 grid with the numbers 1, 10, 19, 28, 37, 46, 55, 64, 73, 82, 121; 2, 9, 20, 27, 38, 45, 56, 63, 74, 81, 120; 3, 8, 21, 26, 39, 44, 57, 62, 75, 80, 119; 4, 7, 22, 25, 40, 43, 58, 61, 76, 79, 118; 5, 6, 23, 24, 41, 42, 59, 60, 77, 78, 117; 11, 12, 13, 14, 15, 16, 17, 18, 33, 34, 115; 10, 13, 22, 25, 34, 37, 46, 49, 68, 71, 114; 9, 14, 21, 26, 33, 38, 45, 50, 67, 72, 113; 8, 15, 20, 27, 32, 39, 44, 51, 66, 73, 112; and so on.In general, it is possible for the monkey to fill in an n x n grid with the numbers 1, 2, ... , n2 in such a way that the cat and dog obtain the same lists of numbers, provided that n is an even number. For odd numbers (n = 3, 5, 7, etc.), it is impossible for the monkey to fill in the grid in such a way that the cat and dog obtain the same lists of numbers.To learn more about Magic Square refer to:
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What is the distance δymax−max between the first maxima (on the same side of the central maximum) of the two patterns?
The distance between consecutive identical points on a wave, such as the space between two succeeding maxima, at a specific point in time is known as the wavelength.
Which laser's first maximum is located more near the center of the beam?The first order maximum generated by laser 1 is therefore closer to the central maximum than the first order maximum generated by laser 2. As can be seen, the distance between two successive interference maxima is constant and regardless of the observed order.The distance between consecutive identical points on a wave, such as the space between two succeeding maxima, at a specific point in time is known as the wavelength.The first order maximum generated by laser 1 is therefore closer to the central maximum than the first order maximum generated by laser 2. As can be seen, the distance between two successive interference maxima is constant and regardless of the observed order.To learn more about distance refer to:
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