James went to the store to return a defective $45 tape recorder for a refund. At the same time, he bought some batteries for $3
1 answer:
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Answer:
Proved (See Explanation)
Step-by-step explanation:
Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.
This is done as follows
From laws of indices;
aᵐ⁺ⁿ = aᵐ * aⁿ.
So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.
becomes
Factorize
3ⁿ * 5
5(3ⁿ)
<em>The expression can not be further simplified.</em>
<em>However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.</em>
Answer:
Part 1)
Part 2)
Step-by-step explanation:
Part 1)
we know that
The perimeter of triangle is equal to the sum of its length sides
so
Part 2)
we know that
The area of triangle is given by the formula
we have
substitute