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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.
a tire placed on a balancing machine in a service station starts from rest an d turns through 4.7 revolutions in 1.2 seconds before reaching its final angular speed Calculate its a
report of shares and devidends
2.008
10 statements must be shown to be logically equivalent to the Statement the nxn matrix is invertible.
reduction
Find the number of square feet of pavement required for the shaded portion of the streets shown in the figure, all the streets being 50 feet wide.
Calculate average speed of a train: What is the average speed of a train which completes a 450-mile trip in 5 hours? Solution: Using Equation 15: V av = s/t V a
el extremo de un poste que partió 8.45 metros de la base del poste y forma con el suelo un angulo de 40 grados 28 minutos.hallar la altura original del poste
there are 300 students in the sixth grade. if 40% of them were girls, how many boys were there?
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