Answer:
Option D :- ![\sf \: 18 {x}^{2} {y}^{2} \sqrt[3]{3 {xy}^{2} }](https://tex.z-dn.net/?f=%20%20%5Csf%20%5C%3A%2018%20%7Bx%7D%5E%7B2%7D%20%20%7By%7D%5E%7B2%7D%20%20%20%20%20%5Csqrt%5B3%5D%7B3%20%7Bxy%7D%5E%7B2%7D%20%7D)
Step-by-step explanation:
![\sf \: 3x\sqrt[3]{648 {x}^{4} {y}^{8} }](https://tex.z-dn.net/?f=%20%5Csf%20%5C%3A%203x%5Csqrt%5B3%5D%7B648%20%20%7Bx%7D%5E%7B4%7D%20%20%7By%7D%5E%7B8%7D%20%7D)
transform the equation
![\rightarrow \sf \: 3x\sqrt[3]{ {6}^{3} \times {3x}^{2} \times {xy}^{6} \times {y}^{2} }](https://tex.z-dn.net/?f=%20%5Crightarrow%20%5Csf%20%5C%3A%203x%5Csqrt%5B3%5D%7B%20%7B6%7D%5E%7B3%7D%20%20%5Ctimes%20%20%7B3x%7D%5E%7B2%7D%20%20%20%5Ctimes%20%20%20%7Bxy%7D%5E%7B6%7D%20%20%5Ctimes%20%20%7By%7D%5E%7B2%7D%20%7D)
rewrite the expression
![\rightarrow \sf \: 3x \times \sqrt[3]{ {6}^{3}} \times\sqrt[3]{ {3x}^{2}} \times \sqrt[3]{ {xy}^{6} } \times \sqrt[3]{{y}^{2} }](https://tex.z-dn.net/?f=%20%5Crightarrow%20%5Csf%20%5C%3A%203x%20%20%5Ctimes%20%5Csqrt%5B3%5D%7B%20%7B6%7D%5E%7B3%7D%7D%20%20%5Ctimes%5Csqrt%5B3%5D%7B%20%20%7B3x%7D%5E%7B2%7D%7D%20%20%20%5Ctimes%20%5Csqrt%5B3%5D%7B%20%7Bxy%7D%5E%7B6%7D%20%7D%20%5Ctimes%20%5Csqrt%5B3%5D%7B%7By%7D%5E%7B2%7D%20%7D)
Simplify the radical expression
![\rightarrow \sf \: 3x \times {6xy}^{2} \sqrt[3]{3xy {}^{2} }](https://tex.z-dn.net/?f=%20%5Crightarrow%20%5Csf%20%5C%3A%203x%20%20%5Ctimes%20%20%7B6xy%7D%5E%7B2%7D%20%5Csqrt%5B3%5D%7B3xy%20%7B%7D%5E%7B2%7D%20%7D)
Multiply
Answer:100
Step-by-step explanation:
There are ten total people:
10C3
10!/(7!×3!) = 120
Note: but that includes all the cases where there are no senior partners
So firstly let figure out the number of cases where there are no senior partners
because there are 6 junior partners
6C3
= 6!/(3!×3!) = 20
120 - 20 = 100 or the number of possible groups where there is at least 1 senior partner.
Answer:
50°
Step-by-step explanation:
In a parallelogram opposite angles have the same measure. Angle ABC has then the same measure of angle ADC, which is 38°+12°=50°
Answer:
Numbers that aren't: 35 and 43. It can literally be any number.
Perfect cubes: 8,64,125,216. You can find perfect cubes by cubing any number. For example 6^3 (6 to the power of 3) is 216. A perfect cube.
