Define an operation ‘&’ on the set of positive integers such that: 2 & 1 = 5 3 & 2 = 13 5 & 3 = 34

1 answer:

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Answer:What are the equivalence classes of the equivalence relations in Exercise 3? A binary relation defined on a set S is said to be equivalence relation if it is reflexive, symmetric and transitive. An equivalence relation defined on a set S, partition the set into disjoint equivalence classes

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Are the set of all square numbers under 50 and the set of all triangular numbers that are less than 50 disjoint?

Alina [70]

Answer:

No, the two sets are not disjoint.

Step-by-step explanation:

Set of triangular numbers to 50: 1, 3, 6, 10, 15, 21, 28, 36, 45

Set of square numbers to 50: 1, 4, 9, 16, 25, 36, 49

They have 1 and 36 in common, so they are not disjoint, or in other words, they have some of the same numbers.

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3 years ago

A family of four spent $104 for tickets to a concert on Friday and they spent $140 for tickets to dinner theater on Saturday.Wha

BigorU [14]

Answer:

$61

Step-by-step explanation:

To determine the cost per person to attend these events, you have to add the cost of the tickets for the concert plus the cost of the tickets for dinner theater. After finding the total amount that was spent, you have to divide this by 4 that is the number of people:

Total cost= $104+$140

Total cost= $244

Cost per person= $244/4

Cost per person= $61

According to this, the cost per person to attend these events is $61.

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3 years ago

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Barb had $112 in her savings account. Then deposited the same amount of money into her savings account in the next 4 months. Now

Kay [80]

• Subtract first: 333 - 112 = 221

• Divide second: 221 ÷ 4(months) = 55.25

• Equation: (333 - 112) ÷ 4

Barb deposited $55.25 each month.

Hope this helps! :D

~PutarPotato

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3 years ago

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1. What is the spinning mo tion of the earth called? = rotation

Tasya [4]

Answer:

<u><em>Rotation and Revolution are two motions of the earth.</em></u>

Step-by-step explanation:

The description is in the image below:

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3 years ago

Craig is designing a new cylinder-shaped can for a pet food company. He wants the height of the can to be 40 mm and the radius o

devlian [24]

The height of the can for this case is given by:
h = 40 mm
The radius of the can is given by:
r = (1 3/8) * h
Substituting values:
r = (1 3/8) * 40
r = 55 mm
Therefore, the diameter of the can is:
d = 2 * r
d = 2 * 55
d = 110 mm
Answer:
The diameter of the can will be:
d = 110 mm

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3 years ago