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charle [14.2K]
3 years ago
13

Geometry What is the range of possible values for x? The diagram is not to scale.

Mathematics
1 answer:
Rom4ik [11]3 years ago
8 0
Where is the diagram? How do we answer without it?
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Which of these relations on the set {0, 1, 2, 3} are equivalence relations? If not, please give reasons why. (In other words, if
Delicious77 [7]

Answer:

(1)Equivalence Relation

(2)Not Transitive, (0,3) is missing

(3)Equivalence Relation

(4)Not symmetric and Not Transitive, (2,1) is not in the set

Step-by-step explanation:

A set is said to be an equivalence relation if it satisfies the following conditions:

  • Reflexivity: If \forall x \in A, x \rightarrow x
  • Symmetry: \forall x,y \in A, $if x \rightarrow y,$ then y \rightarrow x
  • Transitivity: \forall x,y,z \in A, $if x \rightarrow y,$ and y \rightarrow z, $ then x \rightarrow z

(1) {(0,0), (1,1), (2,2), (3,3)}

(3) {(0,0), (1,1), (1,2), (2,1), (2,2), (3,3)}

The relations in 1 and 3 are Reflexive, Symmetric and Transitive. Therefore (1) and (3) are equivalence relation.

(2) {(0,0), (0,2), (2,0), (2,2), (2,3), (3,2), (3,3)}

In (2), (0,2) and (2,3) are in the set but (0,3) is not in the set.

Therefore, It is not transitive.

As a result, the set (2) is not an equivalence relation.

(4) {(0,0), (0,1), (0,2), (1,0), (1,1), (1,2), (2,0), (2,2), (3,3)}

(1,2) is in the set but (2,1) is not in the set, therefore it is not symmetric

Also, (2,0) and (0,1) is in the set, but (2,1) is not, rendering the condition for transitivity invalid.

5 0
3 years ago
Suppose the population of the world now is 4 billion and its doubling period is
OleMash [197]

Answer:

4096b after 350 years, 4194304b after 700 years, and 4294967296b after 1050 years. 0.000433065 sq ft. per person after 1050 years making earth uninhabitable.

8 0
3 years ago
PLEASE HELP!!!!!!!!! LOOK AT PIC, THANKS!!!!!!
mario62 [17]

Answer:

F (x) = 1,6

Step-by-step explanation:

my answer is due to the reason that it is one of the three options and it should only in a way make sense that it is the right answer

3 0
2 years ago
Please explain how to do this i am lost
mixas84 [53]

Answer: y = 7x - 6

Step-by-step explanation:

7 = m (slope)

-6 = y-intercept

8 0
3 years ago
Read 2 more answers
Your bank pays 4% annual interest compounded quarterly on January 1, April 1, July 1, and October 1. You deposited $840 on April
Fofino [41]

Deposit: = $600 on 1st April

Futher Depost = $200 on1st July

Interest rate = 2.60% per annum

Compounded = quarterly

4 0
3 years ago
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