Answer: 6.3
Step-by-step explanation:
The formula for geometric mean is given as :
G.m = 
Therefore , the geometric mean between 4 and 10 will be :
G.m = 
= 
= 2
= 6.3
The formula for perimeter is:
<span>P = 2 h + 2 w</span>
where P is perimeter = 120 cm, h is height, w is width
we are also given that: h = (2/3) w, therefore:
P = 2 (2/3) w + 2 w = 120
(4/3) w + 2 w = 120
w = 36 cm
Therefore l is:
l = (2/3) w = 24 cm
<span>Hence the dimension should be 24cm by 36 cm</span>
$68 is discounted from the regular price.
To find this, you first divide 80% by 100 to get 0.8 (the decimal form of the percentage). Then, simply multiply 0.8 by 85 (or vise verse) to get $68. Since the question is asking for how much is discounted from the regular price, the final answer would be $68.
I hope this helps!
Given the recursive formula, each terms is five time the previous one.
This means that:
is 5 times 
, which means 
- in turn, is 5 times
, so we have 
. This means that 
- Finally,
So, substituting this back gives
In general, since you have 
, each time you compute a new term you multiply by a factor of 5, so if 
, you have
