Step-by-step explanation:
(72)¹⁴³ ≡ x (mod 7)
Since 72 ≡ 2 (mod 7),
72³ ≡ 2³ (mod 7) ≡ 1 (mod 7).
Therefore (72)¹⁴³ = (72³)⁴⁷ * (72²)
≡ 1⁴⁷ * 4 (mod 7) ≡ 4 (mod 7).
The answer is A.
How many minutes are in a day?
Answer:
Step-by-step explanation:
5x - y = 3.......(1)
2y = 10x+2.....(2)
Rearranging (2)
-10x + 2y = 2......(3)
Multiply equation (1) by 2
10x - 2y = 6..........(4)
Adding (3) and (4)
-10x + 10x + 2y - 2y = 2 + 6
No solution since both x and y are eliminated.
Answer:
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