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:
7.17 cm
Step-by-step explanation:
If the width is x, the length is twice this = 2x
And
Perimeter = 2 (W + L)
so
Perimeter = 2 ( x + 2x)
Perimeter = 2 (3x)
Perimeter = 6x
43 = 2 ( x + 2x )
43= 2 ( 3x)
43 = 6x
= 7.17 cm
Hope this helps i'm pretty sure this is how you do it :-)
Answer:
C is the only choice that forms a proportion
Step-by-step explanation:
a. 24/31, 20/27
(31 is prime)
b. 8/9, 24/36
(this one doesn't work since it would have to be 3/4) which isn't a proportion
c. 16/5, 64/20
(both 16/5 *4 = 64/20) so it works
d. 6/4 , 15/10
(similar situation to choice b the ratio wont work since 6 doesn't go into 15)
