11/7 just flip the numerator and the denominator
Answer:
Mykel can make 2.79 x 10³² different combinations
Step-by-step explanation:
We can solve this problem using combination
The formula for combination is ⁿCₐ = 
where n = total number of choices available
a = number of items being chosen
The total movies Mykel wants is 99.
Taking out the sure 66 drama movies,
Mykel is left with 99 - 66 choices = 33 choices.
The total number of choices he is left with is 66 foreign + 33 children + 44 documentaries = 143 movies
Hence, our n = 143 movies
and a = 33 choices
Hence we do, ¹⁴⁴C₃₃ = 
= 
2.79 x 10³² combinations
∴ Mykel can make 2.79 x 10³² different combinations.
Answer:
(identity has been verified)
Step-by-step explanation:
Verify the following identity:
sin(x)^4 - sin(x)^2 = cos(x)^4 - cos(x)^2
sin(x)^2 = 1 - cos(x)^2:
sin(x)^4 - 1 - cos(x)^2 = ^?cos(x)^4 - cos(x)^2
-(1 - cos(x)^2) = cos(x)^2 - 1:
cos(x)^2 - 1 + sin(x)^4 = ^?cos(x)^4 - cos(x)^2
sin(x)^4 = (sin(x)^2)^2 = (1 - cos(x)^2)^2:
-1 + cos(x)^2 + (1 - cos(x)^2)^2 = ^?cos(x)^4 - cos(x)^2
(1 - cos(x)^2)^2 = 1 - 2 cos(x)^2 + cos(x)^4:
-1 + cos(x)^2 + 1 - 2 cos(x)^2 + cos(x)^4 = ^?cos(x)^4 - cos(x)^2
-1 + cos(x)^2 + 1 - 2 cos(x)^2 + cos(x)^4 = cos(x)^4 - cos(x)^2:
cos(x)^4 - cos(x)^2 = ^?cos(x)^4 - cos(x)^2
The left hand side and right hand side are identical:
Answer: (identity has been verified)
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