Let x, y, z ∈ C, the set of complex numbers.
By definition of ○,
(x ○ y) ○ z = (x + y - 2i) ○ z
… = (x + y - 2i) + z - 2i
… = x + y + z - 4i
and
x ○ (y ○ z) = x ○ (y + z - 2i)
… = x + (y + z - 2i) - 2i
… = x + y + z - 4i
so (x ○ y) ○ z = x ○ (y ○ z), which means ○ is indeed associative under C.
Answer:
x=100
Step-by-step explanation:
Answer:

Step-by-step explanation:
Substitute m=(2x+1) and n=(6) in m+n=(9).
We are finding the value of the x variable.

Add the numbers on the left side of the equation.

Subtract 7 from both sides.


Divide both sides by 2.


The value of the x variable is 1.
Answer:
Liam
Step-by-step explanation:
First we can change 12% to 0.12 then multiply 0.12 with 5 and get 0.6, so Stan has 0.6 of the flour, and we see that 0.11 is greater than 0.7 and 0.6
Answer:
1436.8 in³
Step-by-step explanation:
Volume of sphere = (4/3)πr³
r = 7
---> (4/3)π(7)³ = 1436.8 in³
Have a great day :)