.1. Let A = {1,2,3}, B = {2,3,4}, and C = {3,4,5). Find An (BUC), (An B)UC, and (An B)U(ANC). Which of these sets are equal? 2. Provide examples of each of the following: (a) A partition of Z that consists of 2 sets (b) A partition of R that consists of infinitely many sets

Answers

Answer 1

The intervals start from 0 and increase by 1 for each subsequent set. The interval notation [a, b) represents all the real numbers greater than or equal to a and less than b.

1. Let's evaluate each set operation:

a) A ∩ (B ∪ C):

B ∪ C = {2, 3, 4, 5}

A ∩ (B ∪ C) = {2, 3}  (the elements that are common to both A and (B ∪ C))

b) (A ∩ B) ∪ C:

A ∩ B = {2, 3}

(A ∩ B) ∪ C = {2, 3, 4, 5}  (the elements that are either in A ∩ B or in C)

c) (A ∩ B) ∪ (A ∩ C):

A ∩ C = {3}

(A ∩ B) ∪ (A ∩ C) = {2, 3}  (the elements that are either in A ∩ B or in A ∩ C)

Comparing the results:

A ∩ (B ∪ C) = {2, 3}

(A ∩ B) ∪ C = {2, 3, 4, 5}

(A ∩ B) ∪ (A ∩ C) = {2, 3}

From the above evaluations, we can see that (A ∩ B) ∪ C = (A ∩ B) ∪ (A ∩ C), so these two sets are equal.

2. Examples of partitions:

a) A partition of Z (integers) consisting of 2 sets:

{..., -2, 0, 2, 4, ...} and {..., -3, -1, 1, 3, ...}

b) A partition of R (real numbers) consisting of infinitely many sets:

{[0, 1)}, [1, 2), [2, 3), [3, 4), ...}

In this example, each set in the partition includes all the real numbers within a specific interval. The intervals start from 0 and increase by 1 for each subsequent set. The interval notation [a, b) represents all the real numbers greater than or equal to a and less than b.

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Related Questions

3x-y=18

-2y=-6x-120

solve the system of equations!
show your work!! :)

Answers

Answer:  No solutions

The system is inconsistent.

The two lines are parallel and never intersect.

====================================================

Work Shown:

Solving the 1st equation for y.

3x-y=18

-y=18-3x

y = -(18-3x)

y = -18+3x

y = 3x-18

Plugging that into the other equation to solve for x.

-2y=-6x-120

-2(y)=-6x-120

-2(3x-18)=-6x-120

-6x+36=-6x-120

-6x+6x=-120-36

0x = -156

0 = -156

We arrive at a false statement.

Therefore, this system has no solutions

The system is inconsistent.

If you were to use a graphing tool like Desmos or GeoGebra, then you'll see the two lines are parallel. They never intersect to form a solution.

20 min! help!!
Quadrilateral L M N O is reflected over a line to form quadrilateral C D A B. Quadrilateral LMNO is reflected over the line as shown, resulting in quadrilateral CDAB. Given the congruency statement LMNO ≅ CDAB, which segment corresponds to ML? AB AD CD DC

Answers

Answer:

Your answer is dc

Step-by-step explanation:

Which are examples of unit rates? Check all that apply.
100 students for every 2 buses
1 teacher per 25 students
4 pencils for each student
8 students per team

Answers

Answer: 8 students per team and 4 pencils each student

Step-by-step explanation:

Answer:

Both C and D

Step-by-step explanation:

Latoya is saving money at a constant rate to buy a new
computer. The table below shows the amount of money that
Latoya still needs to purchase the computer.
Weeks of Saving Money Still Needed
2
$630
5
$450
7
$330
9
$210

Answers

that makes no sense

Step-by-step explanation:

it does not take photo of the chart

Someone plz help whats 20 1/5+17 2/3 (plz see the picture)

Someone plz help whats 20 1/5+17 2/3 (plz see the picture)

Answers

Answer:

2 5/6

Step-by-step explanation:

Answer:

the answer is 568/15 if you need help on to computer just look up advanced calculator and its called Desmos Scientific calculator

Step-by-step explanation:

5:7 and 2:11 are in equal ratios? True OR False? *

Answers

Answer: false

Step-by-step explanation:

A rancher wants to fence in an area of 1500000 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher can use?.

Answers

6000FT, is the shortest length of fence that the rancher can use.

What is unitary method ?

Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.

Create a square on paper by using a pencil. Two dimensions make it up. A shape's area on paper is the space it takes up.

Imagine that your square is made up of smaller unit squares.

The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.

To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.

According to our question-

Let the rectangular field's length be x.

rectangle field width = y

square feet of a rectangular field's area

Because length is always positive, it is always positive.

Once more, discriminate with respect to x

replace x=1500

Therefore, at x=1 500, fencing is minimal.

Change x to 1 500.

the rectangular field is 1500 feet long.

rectangle field's width is 1000 feet.

Replace the values

shortest used fence length =6000ft

Hence, 6000FT, is the shortest length of fence that the rancher can use.

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I NEED HELP ME PLEASE!!!​

I NEED HELP ME PLEASE!!!

Answers

Answer:

I hope this is right

TG = 34 TG=34  inches

From the figure

            PQR is a triangle

            PS, QT are medians of the triangle  

            G is the centroid

Step 1: Calculate the segment of the median (TG = ? )

              We know that

              Each median is divided into segments with a 2:1 ratio by the triangle centroid.

                    \therefore \frac{TG}{GQ} = \frac{2}{1} ∴

GQ/TG = 1/2

                          TG = 2 GQ TG=2GQ

                          TG = 2 * 17 TG=2∗17

                          TG = 34 TG=34

               Hence, segment of the median  TG = 34  inches

a car travels at an average speed of 68 miles per hour. how long does it take to travel 612 miles

Answers

It takes 9 hours for the car to travel 612 miles at an average speed of 68 miles per hour.

To find the time it takes for the car to travel 612 miles at an average speed of 68 miles per hour, we can use the formula:

time = distance ÷ speed

Plugging in the given values, we get:

time = 612 miles ÷ 68 miles per hour

Therefore, the time it would take the car to travel 612 miles is: Time = 612 miles / 68 miles per hour Time = 9 hours.  So, it would take the car approximately 9 hours to travel a distance of 612 miles if it maintains an average speed of 68 miles per hour.

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What is the term used to describe the impact of the manufacturing process on the entire economy?

Answers

The term used to describe the impact of the manufacturing process on the entire economy is "industrial or manufacturing impact."

The manufacturing process plays a crucial role in the economy, and its impact extends beyond the individual manufacturing sector. The term "industrial impact" or "manufacturing impact" refers to the effects that the manufacturing process has on various aspects of the economy, including employment, productivity, innovation, trade, and overall economic growth. Manufacturing industries are often significant contributors to employment, providing job opportunities for a wide range of individuals. The growth and success of the manufacturing sector can lead to job creation, income generation, and improved living standards. Additionally, manufacturing activities contribute to economic productivity by producing goods and adding value to raw materials, thereby increasing overall output and efficiency.

In terms of innovation, manufacturing processes often drive technological advancements and improvements. Research and development activities in manufacturing can lead to the creation of new products, processes, and technologies that have spillover effects on other industries. These innovations can result in increased competitiveness, higher productivity, and the development of new markets. Moreover, manufacturing impacts international trade by influencing a country's export capabilities. A strong manufacturing sector can enhance a country's competitiveness in the global market, leading to increased exports and trade surpluses. Manufacturing activities can also promote economic diversification and reduce dependence on imported goods, contributing to a more balanced and sustainable economy.

Overall, the industrial or manufacturing impact refers to the wide-ranging effects that the manufacturing process has on the economy, encompassing employment, productivity, innovation, trade, and other interconnected aspects. Understanding and assessing this impact is crucial for policymakers, businesses, and stakeholders in shaping effective strategies and policies to support and leverage the manufacturing sector for sustainable economic growth.

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PLEASEEE HELP THANKS LUV U

PLEASEEE HELP THANKS LUV U

Answers

Answer:

im pretty sure the answer is 5 : x=5

Step-by-step explanation:

im really hoping this is right for your sake but im almost positive

A bridge, PR, across a river is 400 m long. Gabe is launching a canoe at point Q.
He will paddle in a diagonal line across the river to point P. He plans to return along a route beside the bridge from P to R, and then along the shore from R back to Q. How far will this be altogether?

Answers

Therefore, the total distance Gabe will paddle is 2x + 400 meters. The exact value of x depends on the width of the river, which is not provided in the given information.

To find the total distance Gabe will paddle, we need to consider the distance he will travel from Q to P, then from P to R, and finally from R back to Q.

First, let's consider the distance from Q to P. Since Gabe will paddle in a diagonal line across the river, this distance can be calculated using the Pythagorean theorem.

The length of the bridge (PR) is given as 400 meters, which is the hypotenuse of a right triangle. The width of the river can be considered as the perpendicular side, and the distance Gabe will paddle from Q to P is the other side. Let's call this distance x.

Using the Pythagorean theorem, we have:

x^2 + (width of the river)^2 = PR^2

Since the width of the river is not given, we'll represent it as w. Therefore:

x^2 + w^2 = 400^2

Next, let's consider the distance from P to R. Gabe will paddle along a route beside the bridge, which means he will travel the length of the bridge (PR) again. So, the distance from P to R is also 400 meters.

Finally, Gabe will paddle back from R to Q along the shore. Since he will follow the shoreline, the distance he will paddle is equal to the distance from Q to P, which is x.

To find the total distance, we add up the distances:

Total distance = QP + PR + RQ

= x + 400 + x

= 2x + 400

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Hannah completed 40 problems in 32 minutes.
I have to put it in a unit rate pls help

Answers

Answer: 1.25 problems/min

32 minutes --> 40 problems

1 minute --> 40/32

                --> 1.25

suppose a city with a population 600,000 has been a growing rate of 5 percent per year. if this rate continues, find the population of this city in 17 years

The population of the city in 17 years would be approximately ?

suppose a city with a population 600,000 has been a growing rate of 5 percent per year. if this rate

Answers

Answer:

The population of the city in 17 years would be approximately 1,186,855 if the growth rate continues.

Step-by-step explanation:

Help plz!! It is about 1.62 x 106 miles from Venus to the Earth. It
is about 5.4 x 107 from Earth to Mars. How far is it total
from Venus to Earth then Earth to Mars? Write your
answer in scientific notation.

Answers

Answer:

The nearest that Mars has ever been to the Earth is 56 million km or about 34.8 million miles. On the opposite end of the scale, Mars and Earth can be a whopping 401 million km (249 million miles) apart when they are in opposition and both are at aphelion. The average distance between the two is 225 million km (140 million miles).

Step-by-step explanation:

Answer: 81.398 million miles

Step-by-step explanation: Hope that helped you.

6) What is the mean (average) of this set of data: 3 4 6 7 10 15 19 21

Answers

Answer:

10.62

Step-by-step explanation:

Mean can be described as the average of a sum of numbers, it can be calculated by sum ing all the numbers together and then diving by the total

The mean of the set of numbers shown in the question above can be calculated as follows

3+4+6+7+10+15+19+21/8

= 85/8

= 10.62

Hence the mean is 10.62

Translate the following into a verbal expression 3(4-x)+7

Answers

Answer:

3 times 4 minus a number, plus 7

3(4 - x) + 7

Carpenters refer to the slope of a roof as the pitch of the roof. Find the pitch of the roof.

Answers

There are free tutor on my website just got to freetutor.com
The span (the total horizontal straight line distance that the structure of the roof crosses between two walls) is given as 30 feet. The high point of the roof is in the middle of this span and it is 6 feet.

Hello I need help with this math problem

Hello I need help with this math problem

Answers

Answer:

triangle = 190 degrees 130 plus 30 is 160

missing triangle side is 20

180 minus 20 is 160

si en una fraccion uno de los terminos es un numero primo, ¿se puede asegurar que es irreducible? ¿por que?

Answers

Answer:

“yes, but terms and conditions apply.” · Since no (non-trivial) fraction is a natural number, obviously no fraction.

i think

Step-by-step explanation:

help me hw stressing

help me hw stressing

Answers

26 people. There will be no ice cream left. 19.5/.75=26 people

Answer: Jasmine will have have 26 guests. No leftovers.

Step-by-step explanation:

If you are having troubles dividing fractions, try converting them into decimals, which is sometimes easier to solve.

ex: 19 1/2=19.5

3/4=.75

if ad and pm are medians of two similar triangles abc and pqr such that ad:pm=4:9, then calculate ar. triangle abc/ar. triangle pqr​

Answers

Answer:

4/9

Step-by-step explanation:

ad(base)/2 = abc

4x(4y)/2 = 4xy/2 = 2xy

pm(base)/2 = pqr

9x*9y/2 = 9xy/2 = 4.5xy

2xy/4.5 xy = 2/4.5 = 4/9

I'm not really sure, hopefully it works. I suck at geometry.

An 80 kg jumper in flight accelerates at a rate of 8 m/s^2. What is the force of the long jumper? F = ma

Answers

By taking the product between the mass and the acceleration, we will see that the force is:

F = 640 N

What is the force of the long jumper?

By the second Newton's law, we know that a force can cause motion on a body by accelerating it, such that the force is equal to the product between the mass of the object and the acceleration.

F = m*a

F = forcem = massa = acceleration.

Here we know that:

m = 80kg

a = 8 m/s^2

Replacing that we get:

F = (80 kg)*( 8 m/s^2) = 640 N

Where N is the unit Newton.

1 N = 1 kg*m/s^2

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3. A dish contains 100 candies. Juan removes candies from the dish each day and no

candies are added to the dish. On day 1, Juan removes 1 candy. On day 2, Juan

removes 2 candies. On each day that follows, Juan removes 1 more candy than he

removed on the previous day. After day n, Juan has removed a total of at least 64

candies. What is the smallest possible value of n?



Please give answers and how to solve it step by step thank you!!!

Answers

Answer:

11

Step-by-step explanation:

If i am correct n= the days so with the days adding up day 10 juan would have 55 of the 100 candies, day 11 he would have 66. The statement said at least 64, so it would have to be 64 or the closet amount to 64 but it cannot be lower than 64. So there for 66 is the closest to the given amount, and in order for juan to get 64 he would need to take candies out for 11 days.

Unfortunately you injected lidocaine intra-arterially. The first sign of lidocaine toxicity would be, except....
a. circumoral numbness
b. tongue paresthesia
c. dizziness
d. cold

Answers

If lidocaine is injected intra-arterially, it can quickly lead to systemic toxicity. The first signs of toxicity may include circumoral numbness and tongue paresthesia, but these symptoms may be followed by more severe manifestations such as dizziness, seizures, and cardiac arrest.

The systemic effects of lidocaine are dose-dependent, meaning that the higher the dose, the more severe the symptoms.

Lidocaine is a local anesthetic that is commonly used for minor surgical procedures or dental work. It works by blocking the nerve signals that transmit pain to the brain. However, if it is injected into an artery, it can rapidly spread throughout the body and affect other organs, leading to potentially life-threatening complications.

If you suspect that a patient has been injected with lidocaine intra-arterially, it is important to act quickly. The first step is to stop the injection and monitor the patient closely for signs of toxicity. If the patient is experiencing severe symptoms, such as seizures or cardiac arrest, emergency treatment should be initiated immediately. Treatment may include administering medications to counteract the effects of the lidocaine or performing cardio-pulmonary resuscitation (CPR) if necessary.

In conclusion, the first signs of lidocaine toxicity may include circumoral numbness and tongue paresthesia, but more severe symptoms may follow, such as dizziness, seizures, and cardiac arrest. If you suspect that a patient has been injected with lidocaine intra-arterially, it is important to act quickly to prevent potentially life-threatening complications.

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Write an expression

Debb dealt an entire deck of 52 cards to make g hands. Each hand had 13 cards.

Answers

G hands = 52/13

4 Hands

A-
Aaron has tried to construct the perpendicular bisector for line AB.
a) Write a sentence to explain how you know this is not a perpendicular bisector.
b) Which of the possible mistakes below has Aaron made in his construction?
Calculate
B
Possible mistakes
He did not use a ruler to draw his line
The width of his pair of compasses
changed between drawing his ares
He did not use a pair of compasses to
draw his ares

A-Aaron has tried to construct the perpendicular bisector for line AB.a) Write a sentence to explain

Answers

Answer:

Step-by-step explanation:

The next step in the construction is Aaron should Use the compass to find the perpendicular bisector for side.

What is the bisector about?

A bisector is known to be a kind of straight line that cut or divide an angle or a line segment.

Note that The next step in the construction is Aaron should Use the compass to find the perpendicular bisector for side as it is the right step to take.

The correct answer to this question is letter b.There are only three steps in constructing a circle circumscribed by a triangle. He is done with the first step.  Use the compass to find the perpendicular bisector for side DF. I hope I have helped you.

How many solutions are there to this equation 3(3x-)=6x-3 please help

Answers

One Solution
Steps - 3(3x)=6x-3
9x=6x-3
-6x -6x
3x=3
X=1

A relation consists of the following points. Identify the domain and range of the inverse relation 2,3,5,7,8

Answers

The domain and range of the inverse relation are {2, 3, 5, 7, 8} for both.

The given relation consists of the points 2, 3, 5, 7, and 8. To find the domain and range of the inverse relation, we need to swap the x-values with the y-values. The resulting set of values will represent the domain and range of the inverse relation.

In the given relation, the x-values are 2, 3, 5, 7, and 8, and the corresponding y-values are not provided. To find the inverse relation, we swap the x-values with the y-values.
After swapping the values, we obtain the following set of points: (2, 2), (3, 3), (5, 5), (7, 7), and (8, 8). These points represent the inverse relation.
The domain of the inverse relation is the set of x-values from the swapped points, which is {2, 3, 5, 7, 8}. This means that these are the values for which there exist corresponding y-values in the original relation.
Similarly, the range of the inverse relation is the set of y-values from the swapped points, which is also {2, 3, 5, 7, 8}. These are the values that correspond to the x-values in the original relation.
Therefore, the domain and range of the inverse relation are {2, 3, 5, 7, 8} for both.

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_____+67-34=72 plzzz help me​

Answers

ax ndw/klfme'lwmqasxdefrtghy6u7jygtrfasStep-by-step explanation:

Answer:

Solve everything backwards

It REALLY helps!

Step-by-step explanation:

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