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>
The answer is 134 ft^2
the area of the smaller rectangle:
the area of the other rectangle:
the area of the whole shape:
good luck
Answer:
$0.45
Step-by-step explanation:
ratio is 2:4:3
total is 9
270 ÷ 9 = 30
smoll
60 × 0.25 = $15
med
120 × 0.30 = $36
Big
91.50 - 15 - 36 = 40.5
40.5 ÷ 90 = $0.45
Answer:
10.4 cents
Step-by-step explanation:
40 pecans/$3.84 gives you pecans per dollar