Answer:
If the expression is
, then the answer is the first option.
If the expression is
, then the answer is the third option.
Step-by-step explanation:
Remember that when you have a radical expression in the form
, you can rewrite as:
![=x^\frac{1}{n}](https://tex.z-dn.net/?f=%3Dx%5E%5Cfrac%7B1%7D%7Bn%7D)
Then:
- If the expression is
, then you can rewrite it in the following radical form:
(This form matches with the first option.)
- If the expression is
, then you can rewrite it in the following radical form:
(This form matches with the third option).
From the whole group half the club are boys.
fraction of boys from the whole class = 1/2
from this fraction, 4/9th of the boys have brown eyes
therefore fraction of boys who have brown eyes
= 4/9 of 1/2
the 'of' function is used to multiply
![\frac{4}{9} * \frac{1}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B9%7D%20%2A%20%20%5Cfrac%7B1%7D%7B2%7D%20%20)
when multiplying fractions numerators are multiplied by numerators and denominators multiplied by denominators
![\frac{4*1}{9*2} = \frac{4}{18}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%2A1%7D%7B9%2A2%7D%20%3D%20%20%5Cfrac%7B4%7D%7B18%7D%20%20)
4/18 can be simplified by dividing the whole number by a common number
4/18 divided by 2 = 2/9
the answer is 2/9
2/9 of the club are boys with brown eyes
Answer:
third option
Step-by-step explanation:
Using De Moivre's theorem
(
+ i)³ , then
|
+ i |
= ![\sqrt{(\sqrt{3})^2+1^2 }](https://tex.z-dn.net/?f=%5Csqrt%7B%28%5Csqrt%7B3%7D%29%5E2%2B1%5E2%20%7D)
=
=
= 2
arg(
+ i) =
(
) = ![\frac{\pi }{6}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cpi%20%7D%7B6%7D)
Thus
(
+ i)³
= 2³ [ cos(3 ×
) + isin( 3 ×
) ]
= 8 [ cos(
) + isin(
) ]
-1/3 + w = 5 3/8
w = 5 3/8 + 1/3
w = 5 9/24 + 8/24
w = 5 17/24
answer is D. 5 17/24