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a) Let n = (abc) 7 . Prove that n ≡ a + b + c (mod 6). b) Use congruences to show that 4|3 2n - 1 for all integers n ≥ 0.
A golf ball has a diameter equal to 4.1cm. Its surface has 150 dimples each of radius 2mm. Calculate the total surface area which is exposed to the surroundings assuming that the d
use the distributive law to write each multiplication in a different way. then find the answer. 12x14 16x13 14x18 9x108 12x136 20x147
creative assignment about sets
if 500kg of food lasts 40 days for 30 men.how many men will consume 675kg of food in 45 days.
A small square is located inside a bigger square. The length of the small square is 3 in. The length of the large square is 7m. What is the area of the big square if you take out t
A plastic manufacturer has 1200 boxes of transparent wrap in stock at one factory and 1000 boxes at his second factory.The manufacturer has order for this product from 3 different
A wholesaler allows a discount of 20% on the list price to a retailer. The retailer sells at 5% discount on the list price.If a customer paid Rs 114 for an article,what profit is m
how can you memorise you times facts
theory behind the greatest term in the binomial expansion
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