(Hard) A composite number n is called a Carmichael number bn−1 ≡ 1 (mod n) for every number b such ... Base case: When n = 2 the formula a + c ≡ b + d (mod m) was already given. ... The sequence goes 1, 3, 7, 15, 31,... guess that it is equal to 2n+1 − 1. ... Prove (now using induction on n) that fm|fmn for all n ≥ 1.

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3 years ago

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IF the area of the frame was 64inches², what would be 2 possible sets of dimensions that could be used to make a frame with that

alina1380 [7]

To resolve this exercise you have to choose two numbers that when you multiply them, you get 64:

For Set 1: If you choose to make a square frame, you can calculate its dimensions by clearing the value of each sides of it from the formula of the area of a square:

A= L²
L= √A
L= √64 inches²
L= 8 inches

So, you have a square frame of 8 inches x 8inches = 64 inches²

Set 1: 8 inches x 8 inches

For set 2, you can make a rectangular frame with the following dimensions: 16 inches x 4 inches = 64 inches²

Set 2: 16 inches x 4 inches

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2 years ago