(1) From the information given, if we want to choose 5 colors from 8 distinct colors and the order in which the selection is made is relevant, then what we have is a permutation.
The formula is given as;
This formula means we need to select/arrange r items out of a total of n items and the anwer derived would be the total number of arrangements possible.
Therefore, we would have;
Therefore, if the order is relevant, this selection can be done in 6,720 ways.
(2) If the order is NOT relevant, then what we need to calculate is a combination and the formula is;
The formula can now be applied as follows;
If the order is not relevant, then the selection can be done in 56 ways.
Let x be one angle and x +28 be the second angle.
X + x+ 28=90
2x = 62
X=31, x+ 28=59
So 31 & 59 are the angles
Answer:
27. x^7
28. 4x^13
29. 1/f^4
30. x^5
31. 2x^14
32. (4y^3 x^2)^2
33. (2y/x)^6
Step-by-step explanation:
Answer:
32,768
Step-by-step explanation:
Remember to follow PEMDAS.
First, solve for the exponents for both terms:
Multiply the two terms together:
32,768 is your answer.
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A slope of any line parallel to y = x + 2 will be 1.
The slope of parallel lines are always equal. Since we do not see a number next to the x in the original equation, there is an assumed 1 there. Therefore any line that is parallel with it would also have to be 1.