(1) [6pts] Let R be the relation {(0, 1), (1, 1), (1, 2), (2, 0), (2, 2), (3, 0)} defined on the set {0, 1, 2, 3}. Find the foll
goldenfox [79]
Answer:
Following are the solution to the given points:
Step-by-step explanation:
In point 1:
The Reflexive closure:
Relationship R reflexive closure becomes achieved with both the addition(a,a) to R Therefore, (a,a) is ![(0,0),(1,1),(2,2) \ and \ (3,3)](https://tex.z-dn.net/?f=%280%2C0%29%2C%281%2C1%29%2C%282%2C2%29%20%5C%20and%20%5C%20%283%2C3%29)
Thus, the reflexive closure: ![R={(0,0),(0,1),(1,1),(1,2),(2,0),(2,2),(3,0), (3,3)}](https://tex.z-dn.net/?f=R%3D%7B%280%2C0%29%2C%280%2C1%29%2C%281%2C1%29%2C%281%2C2%29%2C%282%2C0%29%2C%282%2C2%29%2C%283%2C0%29%2C%20%283%2C3%29%7D)
In point 2:
The Symmetric closure:
R relation symmetrically closes by adding(b,a) to R for each (a,b) of R Therefore, here (b,a) is:
![(0,1),(0,2)\ and \ (0,3)](https://tex.z-dn.net/?f=%280%2C1%29%2C%280%2C2%29%5C%20and%20%5C%20%280%2C3%29)
Thus, the Symmetrical closure:
![R={(0,1),(0,2),(0,3)(1,0),(1,1)(1,2),(2,0),(2,2),(3,0), (3,3)}](https://tex.z-dn.net/?f=R%3D%7B%280%2C1%29%2C%280%2C2%29%2C%280%2C3%29%281%2C0%29%2C%281%2C1%29%281%2C2%29%2C%282%2C0%29%2C%282%2C2%29%2C%283%2C0%29%2C%20%283%2C3%29%7D)
Answer:
Actual length of wall = 30ft
Step-by-step explanation:
We have scale of a room as 3 inch for 5ft.
We can write scaling factor as:
Scaling factor = 3 /60 (Since 5ft = 60 inches )
Scaling factor = 1/20
Now,
a wall in the blueprint is 18inch.
So actual length of wall can be determined by dividing 18 inch by the scale factor.
i.e actual length of wall = 18 / scale factor = 18 / (1/20)
actual length of wall = 18* 20 = 360 inch = 30ft (Since 360 inch = 30ft)
Hence Actual length of wall = 30ft
So you need to divide 1000 by 125 which is 8. Which then you times by two to equal the two kilograms. So he needs to fill the cup up 16 times.
Answer:
D
Step-by-step explanation:
when you have the same bases but different exponents, for example (X ^ 3 / X ^ 1) = (X ^ 2) this should be the same in the problem for each one with (r, s, t)