Answer: i think (4n+1)^2(4n-1)^2 isnt a multiple of 8 for all integers of n because:
(4n + 1)²(4n - 1)²
= [(4n + 1)(4n - 1)]²
= (16n² - 1)²
= 16².n².n² - 2.16.n² + 1
= 8n²(32n² - 4) + 1
can see 8n²(32n² - 4) is a multiple of 8 but 1 isnt a multiple of 8
=> (4n + 1)²(4n - 1)² isnt a multiple of 8 for all integers of n.
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
The ASP of a hexagon is 720 degrees
You can fir 8x8x8 cubes in the carton, that means you can fit 512 cubes in the carton.
the total cost would be, 0.25 x 512 = $128
The time taken by the two men will be equal to 26 hours
<h3>What is speed?</h3>
The speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance.
here two men are walking at different speeds like
v₁=6 miles per hour
v₂=10 miles per hour
The time taken by them to separated by the distance of 100 miles each so that both of them separated by the distance of 200 miles.
t₁= {100}/{6}=16.66 hours
t₂= {100}/{10}=10 hours
total time taken will be
t₁+t₂=16.66+10=26.66 hours
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