4) determine whether the following relation is an equivalence relation! justify your answer. if the relation is an equivalence relation, then describe the partition defined by the equivalence classes. the domain is a group of people. person x is related to person y under relation m if x and y have the same biological mother. you can assume that there is at least one pair in the group, x and y, such that xmy

No

Step-by-step explanation:

It does not pass the vertical line test; two points have the same input and different outputs, and one input can only have one output.

Summarized below

Explanation:

Mass and Weight

The well-known discussion between mass and weight, though being totally different physical magnitudes, the everyday language of people tend to confuse both terms. We'll group the answers into both categories:

Mass:

1.balance. The instrument used to measure the mass

4.amount of matter in an object. The main definition of mass

6.measured in grams. one of the international units of mass

8.never changes. being the amount of matter in an object, it's constant

10.remains the same when gravitational force changes

Weight:

2.spring scale. Uses the force on a spring to measure weight, which is a force

3.measure of the gravitational force exerted on an object

5.constant on Earth. The mass is also constant on Earth but it's also constant everywhere, so this option fits best to weight

7.changes when gravitational force changes

9.expressed in newtons because it's force

11.six times less on the moon than on Earth. The gravity on the moon is one-sixth that on the Earth, so we weigh one-sixth there.

This relation is a function. None of the x-values repeat. Each y-value belongs to a specific x-value.

Yes, I cannot tell what it wants you to state if it is though.

Step-by-step explanation:

I am assuming you are familiar with coordinates representing x and y coordinates so (x,y).  If this is unfamiliar let me know.

For a function, there cannot be a repeat of xs unless every one goes to the same y.  So for instance if (3,4)(3,5) were in the list this would not be a function because 3 is used twice but goes to a different number each time.

If the list had (3,4) twice so (3,4)(3,4), that could still be a function.

In your list There are no repeating xs, so you don't even need to check.  It is a function.

Step-by-step explanation:

Given:

  {(7, 2), (5, -4), (3, 3), (-4, -4)}

__

The domain is the set of first numbers:

  {7, 5, 3, -4} . . . domain

The range is the set of second numbers:

  {2, -4, 3} . . . range

No domain values are repeated, so this relation is a function.