Determine the Roman and range for the relation in interval notation

klasskru [66]

<span>To find the union of the two sets simply write all of the elements together into one big set. Remove any duplicate entries (if there are any).</span>

$A \cup B = \{x,y,z,a,b,c\}$

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The intersection of the two sets A and B is the set of elements that are in BOTH sets. In this case, there is no overlap so we have

$A \cap B = \{ \} = \varnothing$
which is a way of saying "the empty set"

7 0

3 years ago

Plot a graph for the following data recorded for an object falling from rest

shusha [124]

The kind of curve obtained is linear.
The relationship between the variables is direct variation.
After 4.5 seconds, I expect the velocity to be equal to 140 ft/s.
The amount of time required for the object to attain a speed of 100 ft/s is 3.2 seconds.

<h3>What is a graph?</h3>

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a Cartesian coordinate, which are the x-axis and y-axis.

In this exercise, you're required to plot a graph for the data (velocity and time) recorded for an object that is falling from rest.

Based on the graph for the data (see attachment), we can logically deduce the following points:

The kind of curve obtained is linear.

The relationship between the variables is direct variation.

After 4.5 seconds, I expect the velocity to be equal to 140 ft/s.

The amount of time required for the object to attain a speed of 100 ft/s is 3.2 seconds.

Read more on graphs here: brainly.com/question/25875680

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Complete Question:

Plot a graph for the following data recorded for an object falling from rest

a. What kind of a curve did you obtain?

b. What is the relationship between the variables?

c. What do you expect the velocity to be after 4.5 s?

d. How much time is required for the object to attain a speed of 100 ft/s?

7 0

2 years ago

Use 3.1 < sqrt 10 <3.2 to find the possible values of each expression. 2+sqrt 10

lilavasa [31]

The inequality which represents possible values of the expression 2+sqrt 10 by virtue of the given inequality; 3.1 < sqrt 10 < 3.2 as in the task content is; 5.1 < 2 + sqrt 10 < 5.2.

<h3>Which inequality correctly expresses the possible values of the expression; 2 + √10 as required in the task content?</h3>

It follows from the task content that the expression given is;

3.1 < sqrt 10 < 3.2

Since the given premises is an inequality, it follows that adding the same number to all parts of the inequality stills holds the inequality true.

Hence by adding 2 to all parts of the inequality, we have;

2 + 3.1 < 2 + sqrt 10 < 2 + 3.2

Therefore, we have;

5.1 < 2 + sqrt 10 < 5.2

Ultimately, 5.1 < 2 + sqrt 10 < 5.2 represent the possible values of the expression 2+sqrt 10 as given by the inequality 3.1 < sqrt 10 < 3.2.