Answer:
16.97
Step-by-step explanation:
the geometric mean value of a set of n numbers is the nth root of the product of all n numbers.
so, here this means
![gm = \sqrt[6]{3 \times 6 \times 12 \times 24 \times 48 \times 96}](https://tex.z-dn.net/?f=gm%20%3D%20%20%5Csqrt%5B6%5D%7B3%20%5Ctimes%206%20%5Ctimes%2012%20%5Ctimes%2024%20%5Ctimes%2048%20%5Ctimes%2096%7D%20)
this would be 16.97
but careful, the problem only asks for the gm between 6 and 48 of the sequence.
so, we actually only consider the subset 6, 12, 24, 48.
therefore
![gm = \sqrt[4]{6 \times 12 \times 24 \times 48}](https://tex.z-dn.net/?f=gm%20%3D%20%20%5Csqrt%5B4%5D%7B6%20%5Ctimes%2012%20%5Ctimes%2024%20%5Ctimes%2048%7D%20)
this is also
![gm = \sqrt[4]{3 \times 2 \times 3 \times 2 \times 2 \times 3 \times 2 \times 2 \times 2 \times 3 \times 2 \times 2 \times 2 \times 2}](https://tex.z-dn.net/?f=gm%20%3D%20%20%5Csqrt%5B4%5D%7B3%20%5Ctimes%202%20%5Ctimes%203%20%5Ctimes%202%20%5Ctimes%202%20%5Ctimes%203%20%5Ctimes%202%20%5Ctimes%202%20%5Ctimes%202%20%5Ctimes%203%20%5Ctimes%202%20%5Ctimes%202%20%5Ctimes%202%20%5Ctimes%202%7D%20)
![= \sqrt[4]{ {3}^{4} \times {2}^{10} }](https://tex.z-dn.net/?f=%20%3D%20%20%5Csqrt%5B4%5D%7B%20%7B3%7D%5E%7B4%7D%20%5Ctimes%20%20%7B2%7D%5E%7B10%7D%20%20%7D%20)
![= \sqrt[4]{ {3}^{4} \times {2}^{4} \times {2}^{4} \times {2}^{2} }](https://tex.z-dn.net/?f=%20%3D%20%20%5Csqrt%5B4%5D%7B%20%7B3%7D%5E%7B4%7D%20%20%5Ctimes%20%20%7B2%7D%5E%7B4%7D%20%20%5Ctimes%20%20%7B2%7D%5E%7B4%7D%20%20%5Ctimes%20%20%7B2%7D%5E%7B2%7D%20%7D%20)
![= 3 \times 2 \times 2 \times \sqrt[4]{ {2}^{2} }](https://tex.z-dn.net/?f=%20%3D%203%20%5Ctimes%202%20%5Ctimes%202%20%5Ctimes%20%20%5Csqrt%5B4%5D%7B%20%7B2%7D%5E%7B2%7D%20%7D%20)
so, we could specify the result as that simple expression
or calculate it
gm = 16.97
hey, the result is the same as for the complete sequence.
coincidence ? no, it is not. but that is a subject for a different question.
2/3 + 3/4
For this, you want to cross multiply
To do this, you do the first numerator (2) multiplied by the second denominator (4), and the first denominator (3) multiplied by the second numerator (3).If you draw lines between the two numbers you are multiplying, a 'cross' is made. Add these two numbers together to make the new numerator. For the denominator, multiply the bottom two numbers.
Next simplify the new fraction (Follow attached image)
5 x 3/4
This can be written as 5 x 3 / 4
5 x 3 = 15
15/4 = 3 3/4 or 3.75
Answer: i came up with 15 different combos
Step-by-step explanation:
red orange
red blue
red purple
red yellow
red green
orange blue
orange purple
orange yellow
orange green
blue purple
blue yellow
blue green
purple yellow
purple green
yellow green
Answer:
90
Step-by-step explanation:
Since the sum of a circle is 360, just divide 360 and 1/4.
Answer:
x² - 10x + 21
Step-by-step explanation:
the 3rd one
(x-3)(x-7)=0
