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:
Blaine's Company: 103 x 6 = 618
William's Company: 1.2 x 105 = 126
Since William's Company made 126 x Blaine's company's
126 x 618 = 77868.00
(I am not sure if I did this right I tried though)
Step-by-step explanation:
always write what you know
circumference
U = 2 x pi x r
r = d/2
U = 39.25
rearrange and solve for r
U / (2 x pi) = r
solve for diameter
2r = d
An explicit equation is an equation used to find a term in a sequence without using the any previous terms. For example, if I have the set of numbers 1, 3, 5, 7, 9, my explicit equation is F(n)=2(n-1)+1. If I plug 1 in for n, I get F(1)= 2(0)+1, which is 1, my first term.
Hope this made sense.
Answer:
RFISRGISFIGISHRUGF
Step-by-step explanation:
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