Answer:
40951
Step-by-step explanation:
Using the principles of inclusion - Exclusion
Where C(n,r)=n!/(n-r)!r!
Total elements in the five sets including number repetition is given as (10000)×C(5, 1) =10000× 5!/(5-1)!1!=10000×5=50000
Total Number of elements in each pair including number repetition of sets is given as
=(1000) × C(5, 2) =10000
Number of elements in each triple of sets is given as
=(100) × C(5, 3) =1000
Number of elements in every four sets
=(10) × C(5, 4)=50
Number of elements in every one set
(1) × C(5, 5)=1
Therefore total number of unique elements=50000-10000+1000-50+1
=40951
Answer:
The side length is multiplied by 6.
Step-by-step explanation:
The area of a square is A = s². Suppose the side is 8 inches. This means the area is A = 8² = 64.
If you were to multiply by 36, then it becomes 64*36 = 2,304. Since squaring gave the area, it's side length would be found using the reverse operation a square root. Take the square root of 2,304.
√2304 = 48
The side length changed from 8 to 48 which is a scale factor of 6. This means 8 * 6 = 48.
X(x-1)(x^2+4)=(x^2-x)(x^2+4)=(x^4)+(4x^2)-(x^3)-(4x)=(x^4)-x(x^2+4)+(4x^2)
Step-by-step explanation:
x²+3x+4=0
x²+3x_ +2=0
x²+3x_2=-2
x²+3x_2+(3x_4)²=-2+(3/4)²
(x+3/4) =-2+9_16
x+3_4 = -32+9__16 =√-23_6
x+3_4 =-√23_4
x = -3+√-23___4
x = -3- √-23___4 , -3+√-23___4 //
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Answer:
28
Step-by-step explanation:
16−(−12)
=16−(−12)
=16+12
=28
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28 is your answer
(Hope it helps)
