Hello!
So, this is quite the complex question, and here are the following steps:
What is the quotient of ![\frac{6-3\sqrt[3]{6}}{\sqrt[3]{9}}](https://tex.z-dn.net/?f=%20%5Cfrac%7B6-3%5Csqrt%5B3%5D%7B6%7D%7D%7B%5Csqrt%5B3%5D%7B9%7D%7D%20%20)
?
![\frac{(6 - 3\sqrt[3]{6})\sqrt[3]{9^{2}}}{9}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%286%20-%203%5Csqrt%5B3%5D%7B6%7D%29%5Csqrt%5B3%5D%7B9%5E%7B2%7D%7D%7D%7B9%7D%20%20%20%20%20)
(rationalize the denominator)
![\frac{3(2 -\sqrt[3]{6})\sqrt[3]{9^{2}}}{9}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%282%20-%5Csqrt%5B3%5D%7B6%7D%29%5Csqrt%5B3%5D%7B9%5E%7B2%7D%7D%7D%7B9%7D%20%20%20%20%20)
(factor 3 from the expression)
![\frac{(2-\sqrt[3]{6})\sqrt[3]{9^{2}}}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%282-%5Csqrt%5B3%5D%7B6%7D%29%5Csqrt%5B3%5D%7B9%5E%7B2%7D%7D%7D%7B3%7D%20%20%20%20%20)
(reduce the fraction with 3)
![\frac{2\sqrt[3]{9^{2}}-\sqrt[3]{9^{2}}}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%5Csqrt%5B3%5D%7B9%5E%7B2%7D%7D-%5Csqrt%5B3%5D%7B9%5E%7B2%7D%7D%7D%7B3%7D%20%20%20%20%20%20%20%20)
(distributive property)
![\frac{2\sqrt[3]{81}-\sqrt[3]{486}}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%5Csqrt%5B3%5D%7B81%7D-%5Csqrt%5B3%5D%7B486%7D%7D%7B3%7D%20)
(simplify 3 · 9²)
![\frac{6\sqrt[3]{3}-3\sqrt[3]{18}}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B6%5Csqrt%5B3%5D%7B3%7D-3%5Csqrt%5B3%5D%7B18%7D%7D%7B3%7D%20%20%20%20)
(simplify the radical)
![\frac{3(2\sqrt[3]{3}-3\sqrt[3]{18})}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%282%5Csqrt%5B3%5D%7B3%7D-3%5Csqrt%5B3%5D%7B18%7D%29%7D%7B3%7D%20%20%20%20)
(factor 3 from the expression)
![2\sqrt[3]{3}-\sqrt[3]{18}](https://tex.z-dn.net/?f=%202%5Csqrt%5B3%5D%7B3%7D-%5Csqrt%5B3%5D%7B18%7D%20%20%20%20)
(reduce the fraction)
The answer, is simply, choice A, ![2\sqrt[3]{3} -\sqrt[3]{18}](https://tex.z-dn.net/?f=%202%5Csqrt%5B3%5D%7B3%7D%20-%5Csqrt%5B3%5D%7B18%7D%20%20)
≈ 0.263758.
Model
<span>
When making a guess and retesting this information, a
theory or <u>model</u> may be formed which explains why something has occurred
or what it may look like. Models are a representation of a certain situations
that has occurred. These models can provide and amplify a clearer perception
and comprehension of how and what processes are involved in an occurred
phenomenon. And by that said, it can change and be modified depending on which factor
catalyzed the alterations. </span>
Add up the 84 and 42 to get 126, then divide by 6 to get the number of tables which is 21. And the number of seats is 126 because you would need a seat for every person. Hope this helps.
Answer:
lower bound: 315 litres
upper bound: 324 litres
Step-by-step explanation:
The following rules apply:
- if the last digit of the number is 1, 2, 3, or 4; it is rounded down
- if the last digit of the number is 5, 6, 7, 8, or 9.
; it is rounded up
So:
314 is rounded to 310
315 is rounded to 320
324 is rounded to 320
325 is rounded to 330
Answer:
21, 28, 36
Step-by-step explanation:
1 + 2 = 3
3 + 3 = 6
6 + 4 = 10
10 + 5 = 15
Next three terms,
15 + 6 = 21
21 + 7 = 28
28 + 8 = 36.
