Consider the universal set R,R, define the interval A=[−7,1],A=[−7,1], interval B=(−1,5),B=(−1,5), and CC be the negative real numbers. Complete the following exercises in interval notation.

1. A∪B=A∪B=

2. A∩B∩C=A∩B∩C=

3. A∩(B∪C)=A∩(B∪C)=

4. A^c ∪ B^c∪ C^c=

5. (C−A)∪(B−C)=(C−A)∪(B−C)=

Answers

Answer 1
Draw a diagram representing the real number line, and the sets A  and B.

According to the diagram:

1. A∪B= [-7, 5)

2. 2. A∩B∩C= (-1, 0)

3. A∩(B∪C)= [-7, 1] ∩ (-INFINITY, 5) = [-7, 1]

4. 4. A^c ∪ B^c∪ C^c= (not A) ∪ (not B) ∪ (not C) = 

(-infinity, -7) ∪ (1, infinity)   ∪  (-infinity, -1] ∪ [5, infinity)   ∪ [0, infinity)

= (-infinity, -1] ∪ (1, infinity ) ∪ [0, infinity) = (-infinity, -1] ∪ [0, infinity) 

5. (C−A)∪(B−C)= "in C but not in A" union "in B but not in C"

=(-infinity, -7) ∪ [0, 5) 
Consider The Universal Set R,R, Define The Interval A=[7,1],A=[7,1], Interval B=(1,5),B=(1,5), And CC
Answer 2

Final answer:

The question involves calculating various set operations in interval notation, including the union, intersection, and complements using intervals A, B, and set C (negative real numbers) within the universal set of real numbers R.

Explanation:

The student is working with set operations in interval notation, particularly focusing on the union, intersection, and complement relative to the set of real numbers R. Given intervals A=[-7,1], B=(-1,5), and set C being the negative real numbers, we need to perform various set operations.

A⋃B is the union of A and B, which is the set of all elements in either A or B.A∩B∩C is the intersection of A, B, and C, which represents all elements common to all three sets.A∩(B⋃C) represents the intersection of A with the union of B and C.A¹ ⋃ B¹ ⋃ C¹ is the union of the complements of A, B, and C relative to the universal set R.(C-A)⋃(B-C) represents the union of the set difference of C and A with the set difference of B and C.

Related Questions

a
108 degrees

b
24 degrees

c
156 degrees

d
72 degrees

Answers

According to the Alternate Exterior Theorem, alternate exterior angles are congruent. So:

3x = 4x - 24
x = 24

But, this question is not over. This question is asking for angle RST, not x.

3(24) = 72

Hope this helped!

Rachel’s phone company limits her monthly data usage to 3 gigabytes. She has already used 2,645 megabytes. How many gigabytes of data does she have left this month?

Answers

It would be .355 gigabytes because 3 gigabytes =3000 megabytes so 3000 minus 2,645 = 355 megabytes and 355 megabytes as gigabytes =.355 gigabytes 
There are 1,000 megabytes per every one gigabyte. So 3 gygabites times 1,000 is equal to 3,000 megabytes. So, 3,000 megabytes minus 2,645 megabytes is equal to 355 megabytes. She has 0.355 gigabytes left this month.

Joe ran at 6km/h for 30 mins. how far did he run? sorry this is kind of stupid but pls help

Answers

Because one hour is 60 minutes, Joe ran 6km/60min

To get from 60 to 30, we can divide by 2. REMEMBER: Divide on both sides!

6/2=3

We end up getting 3km. 

Hope this helps and please mark brainiest :D

A pair of vertical angles may also form a linear pair true or false?

Answers

It is false, because vertical angles are the same size angles, and a linear pair has to add up to 180 degrees.

Hope this Helps!


Leo and Robyn have received projects' funding of $39 655. They decide to share the funding in the ratio of 2:3 (Leo:Robyn) for their own research. How much does each person receive?

can you please help me to solve this?

Answers

the ratio 2:3 Leo:Robyn means that Leo gets 2/5  ( 2 / (2+3)  of the funding and Robyn gets 3/5.

Leo gets 2/5 * $39655 =  $15,862

RobYn gets 3/5 * 39655  = $23,793

Leo and Robyn receive $15,862 and $23,793 respectively.

What is the difference between a ratio and a proportion?

A ratio is an ordered pair of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two ratios are specified to be equal.

Given data;

Total funding= $39655.

Funding in the ratio = 2:3

If x is the part by which one person receive;

The equation is found as;

2x+3x=$39655.

5x=$39655.

x=7931

Leo gets;

2x=2×$7931= $15,862

Robyn gets;

3x=3×$7931== $23,793

Hence,Leo and Robyn receive $15,862 and $23,793 respectively.

To learn more about the ratio, refer to the link;

https://brainly.com/question/14335762

#SPJ2

round 76,912 to the nearest ten thousand

Answers

80,000 i hoped this helped

80000 can be the nearest ten thousand of 76912

hope this helps you

Arrange these from smallest to largest, 1/6,0.29,23%,3/5,0.027

Answers

1/6 = 0.166
0.29
23% = 0.23
3/5 = 0.6
0.027

Ans: 0.027, 1/6, 23%, 0.29, 3/5
Final answer:

To arrange the numbers 1/6, 0.29, 23%, 3/5, and 0.027 from smallest to largest, convert them to decimals and then compare. The order from smallest to largest is: 0.027, 1/6 (0.166...), 23% (0.23), 0.29, and 3/5 (0.6).

Explanation:

To arrange the numbers 1/6, 0.29, 23%, 3/5, and 0.027 from smallest to largest, we first need to convert them all to the same format. We can convert percentages to decimals by dividing by 100 and fractions to decimals by division. Here are the conversions:

1/6 = 0.166...0.29 (already a decimal)23% = 0.233/5 = 0.60.027 (already a decimal)

Now that they are all in decimal form, we can easily compare them:

0.027 (smallest)1/6 (or 0.166...)23% (or 0.23)0.293/5 (or 0.6, largest)

A town received 2 3/4 inches of rain one day and 5 2/5 inches the next day .How many of inches of rain fell in the town over the two days

Answers

2 3/4 + 5 2/5 = 2.75 + 5.4 = 8.15
⇒ 8.15 inches of rain fell in the town over the two days.

Maggie’s brother is 6 years younger than three times her age. The sum of their ages is 42. How old is Maggie?

Answers

x = Maggie's age

y = The brother's age

x + y = 42

y = 3x - 6

Using the substitution property, we can replace y in the first equation with the 3x - 6 in the second equation like so:

x + (3x - 6) = 42

Then solve this equation for x like so:

x + (3x - 6) = 42

x + 3x = 48 (Add 6 to both sides)

4x = 48 (Simplify)

x = 12 (Divide both sides by 4)

This shows that Maggie's is 12 years old. In order to prove this, you must check your work. In order to do this, first plug your answer back into the original equation like so:

x + y = 42

12 + y = 42. (Plug in answer)

y = 30 (Subtract both sides by 12)

This shows that Maggie's brother is 30 years old. The final step to proving this is to plug both of your answers into the second equation to make sure that your answers are within the constraints set by the problem. Do this like so:

y = 3x - 6

30 = 3(12) - 6 (Plug in answers)

30 = 36 - 6 (Simplify)

30 = 30 (Simplify)

Because the equation is balanced, your answers are correct. So, to answer your question, Maggie is 12 years old.


Round 12.5829 to the nearest tenth. Rounded number

Answers

Tenth is the first number after the decimal. In this equation, 5 is in tenth place but the number to the right is greater than 5, so the 5 rounds to 6. The answer is 12.6.

Answer:

12.5829=12.6

Because the 5 is the tenths place, and the 8 is greater than 5, so that would make the 5 go up to 6

During a card game you give someone 5 cards then someone else gives you 7. Write an addition expression to describe this situation. Then find the sum.

Answers

c will equal the total amount of cards.

c = (-5) + 7

c = 2

You have 2 additional cards.
x will be total amount of cards you have in the beginning
g will be the final amount


x - 5 + 7 = g
x +(7-5) = g
x + 2 = g

answer

x + 2 = g 

hope this helps

the average cost of regular gasoline in north carolina increased by 73% from 2006 to 2007. If the average cost of a gallon of gas in 2006 was %2.069, what was the average cost in 2007?

Answers

you would need to do 2.069+73% which would get you 3.57937
Final answer:

The average cost of regular gasoline in North Carolina increased by 73% from 2006 to 2007. Therefore, if the average cost in 2006 was $2.069, it increased by approximately $1.51 to about $3.58 per gallon in 2007.

Explanation:

The subject of this question is a real-world application of the concept of percentage increase in mathematics. To calculate the average cost of regular gasoline in North Carolina in 2007, we use the given fact that it increased by 73% from 2006 to 2007. If the average cost in 2006 was $2.069,

First, find out what the 73% of $2.069 is. We do this by multiplying 2.069 by 73/100: 2.069*(73/100) = $1.51037.

Next, add the number you found above to the original 2006 price: $2.069 + $1.51037 = $

3.57937

.

So the average cost of regular gasoline in 2007 in North Carolina was approximately $3.58 per gallon (rounding to the nearest cent).

Learn more about percentage increase here:

https://brainly.com/question/20818421

#SPJ2

Taylor buys 6 bus tickets. He pays for the tickets with a $20 bill. Let c represent the cost of each ticket. Which expression shows how much change Taylor will receive?

Answers

20 = 6c

your expression will be 20 - 6c 

hope this helps

Andy ate 3/4 cup of oatmeal on Monday and 1/4 cup oatmeal on Tuesday how much oatmeal did he eat on the 2days

Answers

Andy ate 1 cup of oatmeal (D).  3/4 + 1/4 is 1 whole ( or 1 cup in this situation).
To solve this you add 3/4 by 1/4.
When adding fractions make sure to only add the numerators (top number) and not the denominators (bottom number). So,

3/4 + 1/4 = 4/4

The simplest form of 4/4 is 1. So, the answer is 1.


I hope this helped you!

Imani gives vitamins to her dog.The recommended dosage is 1 teaspoon per day for adult dogs weighting 10 pounds. She needs to give vitamins to Bruiser, who weighs 80 pounds and to Dust Ball, who weighs 7 pounds. What is the correct dosage for each dog? Set up a proportion. Please help me!!!!

Answers

[tex] \frac{1tsp}{10lbs} \frac{xtsp}{20lbs} \frac{1sp}{10lbs} \frac{xtsp}{7lbs} [/tex]

bruiser = 8
dyst ball = 0.7

The correct dose for Bruiser is 8 tablespoons, and for Dust ball it will be 0.7 pounds.

What is a proportion?

A proportion is a comparison of two numbers that each represent the parts of a whole.

Given that, Imani gives vitamins to her dog. The recommended dosage is 1 teaspoon per day for adult dogs weighting 10 pounds. She needs to give vitamins to Bruiser, who weighs 80 pounds and to Dust Ball, who weighs 7 pounds.

The proportion will be = 1/10 = x/80 = y/7

x = 8 and y = 0.7

Hence, The correct dose for Bruiser is 8 tablespoons, and for Dust ball it will be 0.7 pounds.

For more references on proportion, click;

https://brainly.com/question/2548537

#SPJ5

A computer that costs $1099 last year cost $999 this year. What is the percent change? Explain please.

Answers

only like 5 % or what are your options the price only went down 100$

Answer:

9.1

Step-by-step explanation:

Formula; Higher value-lower value/Original value x 100

Solve;

$1099-$999/$1099 x100

= 100/1099 x100

= 9.0991810737

Round = 9.1

[RevyBreeze]

A model for the path of a toy rocket is given by h= -68t - 4.9t^2


How long does it take the rocket to hit the ground? How high was the rocket at 2 seconds? What is the maximum height of that rocket and how long does it take that rocket to reach it's maximum height?

Answers

The right equation has to be h= 68t - 4.9t^2, or you will get negative times.

I will show you the solution using h = 68t - 4.9t^2

1) How long does it take the rocket to hit the ground?

ground level => h = 0

=>  68t - 4.9t^2 = 0

factor the polynomial => - t (4.9t - 68) = 0

=> t = 0 (which is when the rocket takes off) and 68 + 4.9t = 0 (which is when the rocket to return and hit the ground).

4.9t - 68 = 0 => t = 68 / 4.9 = 13.88 s

Answer: 13.88 s

2) How high was the rocket at 2 seconds?

replace t = 2 in the function h = - 4.9t^2 + 68

=> h = -4.9 (2^2) + 68 = 48.4 m

Answer: 48.4 m

3) What is the maximum height of that rocket and how long does it take that rocket to reach it's maximum height?

Find the vertex of the parabola.

You should know that the vertex is at the midpoint between the two roots (zeros of the polynomial).

You already found the zeros, t = 0 and t = 13.88

So0 the vertex is at t = [0 + 13.88] / 2 = 6.94 s

And the maximum height is h = - 4.9 (6.94)^2 + 68 = 168 m

Answer: h max = 168 m, t = 6.94 s.
Final answer:

The duration for the rocket to hit the ground, its height at 2 seconds, and its maximum height can be calculated using the given quadratic equation for height over time. The maximum height is determined by finding the vertex of the parabola.

Explanation:

To determine how long it takes the toy rocket to hit the ground, we need to set the equation for height h to zero and solve for time t. The model for the path of a toy rocket is given by [tex]h = -16t2 - 4.9t2[/tex]. To solve for t, we factor the right side:

[tex]h = -4.9t(16 + t)[/tex]

Since h = 0 when the rocket hits the ground, we set [tex]-4.9t(16 + t) = 0[/tex] and solve for t. There are two solutions: t = 0 (when the rocket is launched) and the positive solution which is when the rocket hits the ground. We disregard the solution t = 0 and solve for the positive solution to find out how long it takes to hit the ground.

To find out how high the rocket was at 2 seconds, we simply plug t = 2 into the original equation:

[tex]h = -16(2)2 - 4.9(2)2[/tex]

And solve for h to get the height at 2 seconds.

To determine the maximum height of the rocket, we need to find the vertex of the parabola represented by the given equation, which is a quadratic function of t. Since the coefficient in front of t2 is negative, the vertex will give us the maximum height. The time it takes to reach the maximum height is given by t = -b/2a, where a and b are coefficients from the equation [tex]h(t) = at2 + bt + c.[/tex] In this case, a = -4.9 and b = -68.

The calculations must be done to find the precise values for the time to hit the ground, the height at 2 seconds, and the maximum height of the rocket, along with the time it takes to reach it.

Learn more about Quadratic Equation here:

https://brainly.com/question/30098550

#SPJ3

The temperature at noon is 75 Fahrenheit. The temperature drops 3 degrees every half hour. What is the temperature at 4 p.m.

Answers

75 - 3 every half hour so minus 6 every hour,
between noon and 4pm, there are 4 hours
4*6 = 24
75 - 24 = 51
Noon is 12 pm.

Temperature drops by 3° every 30 minutes.

There are 240 minutes in 4 hours.

So, in 4 hours or 240 minutes, the temperature dropped by 24°.

By 4 pm, the temperature is 51°F.

What is the relationship between the 1s in 911,147,835?

Answers

the 1 is in the:

hundred thousands place
millionth place
and ten millionth place

hope this helps

HELP ME THANKSSSS :)

Answers

Point M for this triangle is called the Centroid.

unit price for 3 1/4 yards for 13$

Answers

3.25            x
-------   =   ------ = 0.25 as a decimal and 1/4 as a fraction
 13              1
Hope this helps!

you randomly pick two numbers from 1 to 9. If you could pick the same number twice and the first of the two numbers are in less than five in the probability that the sum of the two numbers is less than five is

Answers

Alright, so the number is less than 5, we pick it twice, and the sum (2*number) is less than 5, we have 2 options - 2 or 1. 3 or more doesn't work because 3*2=6. The probability of choosing 2 is 1/9, and choosing 2 again is 1/9. Since they don't have anything to do with each other, we multiply 1/9 by 1/9 to get 1/81 as the chance of choosing 2 twice. Since we can have 1 twice too, we add 1/81 to 1/81 to get 2/81

what are the steps to solve multi-step equations? (in 5 steps)

Answers

The steps to solve multi-step equations are;

1. Parenthesis

2. Exponents

3. Multiplication/division

4. Addition/subtraction

What does it mean to solve an equation?

An equation represents equality of two or more mathematical expression.

To solve an equation, they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).

For the Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

The steps to solve multi-step equations are;

1. Parenthesis

2. Exponents

3. Multiplication/division

4. Addition/subtraction

Learn more about solving equations here:

https://brainly.com/question/18015090

#SPJ2

A restaurant took 1/10 of an hour to use 1/6 of a package of napkins at this rate how many hours would it take to use the entire package

Answers

36 minutes is how long it would take to use a package of napkins
1/10 of an hour is 6 minutes. So if they used 1/6 of a package in 6 minutes, then 6/6 of the package, or the entire package would be used up in 36 minutes (6*6)

To find the value of an expression is to _______________.

variable

squared

algebra

evaluate

Answers

evaluate , I've had this question before and I got it right

Express 152 as a product of prime factors in index form

Answers

Google it. Sorry I don't know
76x2
38x2
19x2
Answer: 2x2x2x19

what is the slope of y = 3.9

Answers

Assuming that there is no x term, the answer is 0. 

The slope is 0 because this line is a flat horizontal line.
We can write y = 3.9 as y = 0x+3.9

The equation y = 0x+3.9 is in the form y = mx+b where m = 0 is the slope. 

A bakery uses 48 pounds of flour each day. It is open for business 28 days each month. How many pounds of flour does the bakery use each month? A.1,500 pounds , B.1,344 pounds , C. 800 pounds ,Or D.76 pounds?

Answers

The answer is B.1344 because they use 48 each day and on 28 48x28=1344
48*28=1344 that is the answer

If a person weighs 240 pounds on Earth, what would be the difference in weight of the same person on Mars and on the Moon (based on the table and graph)?

Answers

Answer:

C

Step-by-step explanation:

The person weighs 560 more on Mars than on the moon.

On comparing the weight of the individual on Earth, Mars and Moon, we concluded -

W[Earth] > W[Mars] > W[Moon]

What is Weight ?

Weight is the force exerted by the earth on an object at the surface of the earth. Mathematically -

W = m x g

where -

[m] is the mass of object

[g] is acceleration due to gravity

Given is a person who weighs 240 pounds on Earth.

The weight of the individual in kg m/s² (Newtons) on earth would be -

W[Earth] = 240 x 0.45359237 x 9.8 = 1066.84 N

The weight of the same individual on mars would be -

W[Mars] = 240 x 0.45359237 x 3.11 = 333.56 N

The weight of the same individual on moon would be -

W[Moon] = 240 x 0.45359237 x 1.625 = 176.90 N

Therefore, we can conclude that W[Earth] > W[Mars] > W[Moon].

To solve more questions on Mass and weight, visit the link below-

brainly.com/question/13429205

#SPJ6

for what values of x will the result of 5x be greater than 1

Answers

Anything greater than (1/5) that is positive

Ex. (1/4), (1/3), (1/2), 1, 2, 3, 4, 5
Other Questions
which of the following statements about line graphs is true? A The dependent variable is on the horizontal axis. B Line graphs are always straight lines. C Every data point should be shown on a line graph. D There is a maximum number of data points that can be used in a line graph. In your own words, explain the place value relationship when the same two digits are next to each other in a multi digit number. A passenger plane left Rome and flew toward Jakarta. one hour later a cargo plane left flying 26 km/h faster in an effort to catch up to it. After 11 hours the cargo plane finally caught up. find the passenger plane's average speed. Marbury v. madison was the first of many important decisions made by what man during his thirty-five years as chief justice of the supreme court? How do you write 0.917 in word form. If 40% of a given number is 8, then what is 15% of the given number? Shi Huangdi was the first emperor of a united China. Which of these changes occurred in China under his leadership? What are three ways the French and Indian War impacted the British and their American colonies? A 1.25 10-4 m solution of the anti-inflammatory drug naproxen has a ph = 4.2. the ka and pka of naproxen are ________ and ________. Find the square (2x-6)^2 Spanish will probably come in handy if you travel to Miami, California, New Mexico, or Arizona. True False "what is the biggest potential problem with selecting a topic at random?" how are goldman and fricks claims about the homestead strike different ch3c(ch2ch3)2(ch2)5ch3 naming 11-1\2y=3+6x Solve for y Over 25.5 days, a pond's water level changed by an average of 0.32 centimeter each day. What was the total change in the water level? Select the sentence from the excerpt that most effectively explains how the narrators first reporting experience will benefit her in the future.The next day I saw my very first news story in print. My editor was happy with it when he returned, and over the next few months, I learned a great deal from him about how to cover a story well, how to handle my sources, and how to make a boring story seem interesting. Fortunately, after fine-tuning the state budget, the governors office was able to reinstate the aid money for area school districts. And thanks to my first story, Id already met most of the school administrators in person and had the beginnings of an actual list of sources for future stories. Math help please! 1. The data set below shows the weight (in pounds) of 5 different pumpkins. What is the mean of the following set of data? 7,5,9,5,122. Mariah took 4 quizzes in her class during the past month. Her scores were 92, 94, 100, and 83. What was her mean quiz score?92.2593.593.7594.75 how can you use Place value when using partial quotients? what is critique reasoning Steam Workshop Downloader