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schepotkina [342]
3 years ago
10

"Can anyone help me?

elppp \: me" align="absmiddle" class="latex-formula">

Mathematics
1 answer:
Cloud [144]3 years ago
4 0

i cant read it clearly


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How many equivalence relations are there on the set 1, 2, 3]?
Alex787 [66]

Answer:

We need to find how many number of equivalence relations are on the set {1,2,3}

A relation is an equivalence relation if it is reflexive, transitive and symmetric.

equivalence relation R on {1,2,3}

1.For reflexive, it must contain (1,1),(2,2),(3,3)

2.For transitive, it must satisfy: if (x,y)∈R then (y,x)∈R

3. For symmetric, it must satisfy: if (x,y)∈R,(y,z)∈R then (x,z)∈R

Since (1,1),(2,2),(3,3) must be there is R, (1,2),(2,1),(2,3),(3,2),(1,3),(3,1). By symmetry,

we just need to count the number of ways in which we can use the pairs (1,2),(2,3),(1,3) to construct equivalence relations.

This is because if (1,2) is in the relation then (2,1) must be there in the relation.

the relation will be an equivalence relation if we use none of these pairs (1,2),(2,3),(1,3) . There is only one such relation: {(1,1),(2,2),(3,3)}

we can have three possible equivalence relations:

{(1,1),(2,2),(3,3),(1,2),(2,1)}

{(1,1),(2,2),(3,3),(1,3),(3,1)}

{(1,1),(2,2),(3,3),(2,3),(3,2)}

6 0
3 years ago
How would I solve this? Because I don't understand it at all.
Mandarinka [93]

Answer:

v= s/t = sqrt(360^2+480^2) x 0.3048/0.5 = 365.76(m/s)

Step-by-step explanation:

s =sqrt(360^2+480^2)

s-ft-to-m = s*0.3048

t = 0.5

6 0
3 years ago
Your insurance premium is $3400 annually. Your employer pays 80% of the premium. How much will you pay annually?
pochemuha
I think it is 680 if not i am sorry
4 0
3 years ago
Read 2 more answers
15 inches is what fraction in simplest form of a yard
Radda [10]

Answer:

15/36

Step-by-step explanation:

there are 36 inches in yard so it will be 15/36

8 0
3 years ago
Coach Posey has $10,000 to invest. He can go to Bryant Bank that pays 5% simple interest or Hornets Bank that pays 4% interest c
dimaraw [331]
Coach posey will have 60,000 dollars at bryant bank, .5x12=6, 6x10000=60000
5 0
3 years ago
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