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Fibonacci number, 1. Suppose n ≡ 7 (mod 8). Show that n ≠ x 2 + y 2 + z 2...

1. Suppose n ≡ 7 (mod 8). Show that n ≠ x 2 + y 2 + z 2 for any x, y, z ε Z. 2. Prove ∀n ε Z, that n is divisible by 9 if and only if the sum of its digits is divisible by 9.

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1. A 3d rotation matrix has 9 (3 by 3) entries, and a 2d rotation matrix has 4 (2 by 2) entries. How many actual degrees of freedom are there in a 3d or 2d rotation? In other words

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A local police precinct has seen a recent enhance in the number of complaints filed regarding how officers are interacting with the public. Before addressing the issue, the command

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A screening test for a newly discovered disease is being evaluated. In order to determine the effectiveness of the new test, it was administered to 900 workers; 150 of the individu

Graphing formulas, how do you graph y+3=-x+3x on a TI-83 graphing calculato...

how do you graph y+3=-x+3x on a TI-83 graphing calculator?

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Approximating Definite Integrals - Integration Techniques In this section we have spent quite a bit of time on computing the values of integrals. Though, not all integrals can

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What is the probability that the product xy less than 9, A number x is ...

A number x is selected from the numbers 1,2,3 and then a second number y is randomly selected  from  the  numbers  1,4,9. What  is  the  probability that  the product xy of the two

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