Set A and the universal set U are defined as follows.
U={1,2,3,4,5,6)
A= {2,4,6}
Find the following sets.
Write your answer in roster form or as Ø.

Set A And The Universal Set U Are Defined As Follows.U={1,2,3,4,5,6)A= {2,4,6}Find The Following Sets.Write

Answers

Answer 1

Part (a)

Answer:   Ø

This is the empty set

------------------

Explanation:

It doesn't matter what set A is composed of. Intersecting any set with the empty set Ø will always result in the empty set.

This is because we're asking the question: "What does some set A and the empty set have in common?". The answer of course being "nothing" because there's nothing in Ø. Not even the value zero is in this set.

We can write Ø as { } which is a set of curly braces with nothing inside it.

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

Part (b)

Answer:  {1,2,3,4,5,6}

-----------------

Explanation:

When you union the universal set with any other set, you'll get the universal set.

The rule is [tex]A \cup B = B[/tex] where I've made B the universal set to avoid confusion of the letter U and the union symbol [tex]\cup[/tex] which looks nearly identical.

Why does this rule work? Well if an item is in set [tex]\overline{A}[/tex], then it's automatically in set U (everything is in set U; it's the universe). So we're not adding anything to the universe when applying a union involving this largest set.

It's like saying

A = set of stuff inside a persons house[tex]\overline{A}[/tex] = set of stuff outside a persons house (ie stuff that is not in set A)U = set of every item

we can see that [tex]\overline{A} \cup U[/tex] will basically form the set of every item, aka the universal set.


Related Questions

Mears Taxi charges a $ 3.95 flat rate for a ride in the cab. In addition to that, they charge $ 0.75 per mile. Katie has no more than $ 16 to spend on a ride. At most, how many miles can Katie travel without exceeding her spending limit?

Answers

Answer:

About 16 miles

The equation:

.75x+3.95

At 16 miles Katie will have spent $15.95.

Answer:

16 miles

Step-by-step explanation:

3.95 + .75m < 16

Subtract 3.95 from each side

3.95 -3.95+ .75m < 16-3.95

.75m < 12.05

Divide each side by .75

.75m/.75  < 12.05/.75

m <16.066666666

Rounding to the nearest mile

m < 16

Solve the system using substitution.
X = Y-4
2x + 3y = 12

Answers

Answer:

Step-by-step explanation:

If you know that x = y - 4, you can plug that value into the equation 2x + 3y = 12 for x. This would look like:

2(y - 4) + 3y = 12

Simplify:

2y - 8 + 3y = 12

5y - 8 = 12

add 8 to both sides

5y = 20

divide both sides by 5

y = 4

Now, substitute y = 4 back into the equation x = y - 4:

x = 4 - 4

and simplify:

x = 0

This means that the answer is x = 0 and y = 4.

Answer:

(0, 4 )

Step-by-step explanation:

Given the 2 equations

x = y - 4 → (1)

2x + 3y = 12 → (2)

Substitute x = y - 4 into (2)

2(y - 4) + 3y = 12 ← distribute and simplify left side

2y - 8 + 3y = 12

5y - 8 = 12 ( add 8 to both sides )

5y = 20 ( divide both sides by 5 )

y = 4

Substitute y = 4 into (1) for corresponding value of x

x = 4 - 4 = 0

solution is (0, 4 )

Help me please I need this

Answers

Answer:

2 times

Step-by-step explanation:

3/4 × 2 = 6/4, simplified down is 3/2

Answer: the answer is a

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Find the mode of the data set that consists of 8, 18, 4, 2, 3, 7, 11, 13, 5, 1.
A. 6
B. 7.2
C. no mode
D. 17

Answers

Answer:

No mode

Step-by-step explanation:

There are no any numbers which are repeated. So there is no mode.

Answer:

The answer is C.no mode because the mode of a data set is the number that occurs most frequently in the set. To easily find the mode, but the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!

What is -2 + 5(9 − 12)

Answers

Answer:

-17

Step-by-step explanation:

-2 + 5(9 − 12)

PEMDAS

Parentheses first

-2 + 5(-3)

Then multiply

-2 -15

Subtract

-17

Answer:

-17

Step-by-step explanation:

hope this helps

please help me
I need help

Answers

What would you like me to help you with?

what percentage of 225 is 11.25?​

Answers

Percentage Calculator: 11.25 is what percent of 225? = 5
According to the percentages Calculator: 11.25 is what percent of 225? = 5

Help me with this pls !

Answers

Answer:

awnser G

Step-by-step explanation:

Answer:

H

Step-by-step explanation:

y and x² are corresponding angles and are congruent, that is

y = x²

Then

[tex]\frac{y^3}{3}[/tex] = [tex]\frac{(x^2)^{3} }{3}[/tex] = [tex]\frac{x^6}{3}[/tex] → H


Suppose a line passes through (a, -11) and (7,13), and is parallel to the line
y =2x + 8, What is the value of a? Write the equation of the line

Answers

Answer:

a=19

Step-by-step explanation:

The slope of the equation is - 2 as it's parallel to the given line. Using two point slope form, (13-(-11))/(7-a)=-2. 24=-2(7-a), - 12=7-a, a=19

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 8 ← is in slope- intercept form

with slope m = 2

Parallel lines have equal slopes

Calculate the slope between the 2 given points and equate to 2

Using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (a, - 11) and (x₂, y₂ ) = (7, 13)

m = [tex]\frac{13-(-11)}{7-a}[/tex] = [tex]\frac{13+11}{7-a}[/tex] = [tex]\frac{24}{7-a}[/tex] , then

[tex]\frac{24}{7-a}[/tex] = 2 ( multiply both sides by 7 - a )

2(7 - a) = 24 ( divide both sides by 2 )

7 - a = 12 ( subtract 7 from both sides )

- a = 5 ( multiply both sides by - 1 )

a = - 5

--------------------------------------------------

y = 2x + c ← is the partial equation

To find c substitute (7, 13) into the partial equation

13 = 14 + c ⇒ c = 13 - 14 = - 1

y = 2x - 1 ← equation of parallel line

What's 179 square root

Show how

Answers

Answer:

The square root of 179 rounded up to 7 decimal places is 13.3790882. It is the positive solution of the equation x² = 179.

What is the smallest 3-digit palindrome that is divisible by both 3 and 4?

Answers

Answer:

252

Step-by-step explanation:

To be divisible by 3, it's digits have to add to a number that is a multiple of 3.

To be divisible by 4 its last 2 digits have to be divisible by 3.

So let's start with 1x1 which won't work because 1x1 is odd. so let's go to 2x2 and see what happens.

212 that's divisible by 4 but not 3

222 divisible by 3 but not 4

232 divisible by 4 but not 3

242 not divisible by either one.

252 I think this might be your answer

The digits add up to 9 which is a multiple of 3 and the last 2 digits are divisible by 4

I need help this is urgent

Write an equation of the line below

Answers

Given the line, we have points (0,4),(1,3), (2,2), (3,1) and (4,0)
Hence, y= 4-x

Which is 1/3+1/4?

FASTBRIDGE!!

Answers

When adding fractions, the denominators have to be the same before you can add the numerators.
Find equivalent fractions for both
1
3
and
1
4
The lowest number which 3 and 4 can both divide into is 12
1
3
×
4
4
=
4
12
and
1
4
×
3
3
=
3
12
We can write this easier like this:
1
3
+
1
4
=
4
+
3
12
=
7
12
ONLY add the numerators
Answer link

Option B is 1/3 + 1/4.

1/3 + 1/4 is equal to 7/12.

Here, we have,

To find the sum of 1/3 and 1/4, you need to have a common denominator.

The common denominator of 3 and 4 is 12.

To make the fractions have the same denominator, you can convert them as follows:

1/3 = (1/3) * (4/4) = 4/12

1/4 = (1/4) * (3/3) = 3/12

Now that both fractions have a denominator of 12, you can add them together:

1/3 + 1/4 = 4/12 + 3/12 = (4+3)/12 = 7/12

Therefore, 1/3 + 1/4 is equal to 7/12.

now, from the given options, we have,

in option B. it is indicating that,

2/6 + 1/4

=> 1/3 + 1/4.

Hence, Option B is 1/3 + 1/4.

To earn more on addition click:

brainly.com/question/29560851

#SPJ6

5.
Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 – 4x = 5

A. 11, –7
B. 5, –1
C. 1.73, –1.73
D. 1, 3

Answers

The answer is B
Hope this help

Answer:B. 5, –1

Step-by-step explanation:

factor: 3x^(2)-16x+16

Answers

Answer:

[tex]3 {x}^{2} - 16x + 16 \\ 3 {x}^{2} - 12x - 4x + 16 \\ 3x(x - 4) - 4(x - 4) \\ (3x - 4)(x - 4)[/tex]

Step-by-step explanation:

I hope it helped U

stay safe stay happy

Answer is (3x-4) (x-4)
This is the answer for Plato and Edmentum

Enter the repeating digit:

[tex] \frac{2 }{3} = 0. \frac{?}{?} [/tex]

Answers

Answer:0.6666...

Step-by-step explanation:

Dividing

Let's make some smores! Chocolate bars come in packs of 8 and graham crackers come in packs of 12. What is the smallest number of chocolate bars and graham crackers we would need to buy so we don't have any left over?​

Answers

Answer:

3 chocolate bars and 2 graham crackers

Step-by-step explanation:

8 times 3 equals 24

12 times 2 equals 24

The fence around Stan's rectangular backyard is 48 feet. His yard is 3 feet longer than twice its width. What is the length of Stan's yard?

Answers

Answer: Length = 17 ft

Concept:

Here, we need to know how to find the perimeter of a rectangle.

Perimeter (rectangle) = 2 (l + w)

l = length

w = width

If you are still confused, you may refer to the attachment below for a graphical explanation or tell me.

Solve:

**Disclaimer** I assume that the length is [3 feet longer than twice its width] because a [yard] would not use length to measure it. If it was, then you may refer to my answer. If it was not, then you may tell me and I will redo it.

Let x be the width

Let 2x + 3 be the length

Given information

Perimeter = 48 ft

width = x

length = 2x + 3

Given expression deducted from the question

Perimeter = 2 (l + w)

Substitute values into the expression

48 = 2 (2x + 3 + x)

Combine like terms in the parentheses

48 = 2 (2x + x + 3)

48 = 2 (3x + 3)

Expand parentheses and apply the distributive property

48 = 2 · 3x + 2 · 3

48 = 6x + 6

Subtract 6 on both sides

48 - 6 = 6x + 6 - 6

42 = 6x

Divide 6 on both sides

42 / 6 = 6x / 6

x = 7

Find the value of length

Length = 2x + 3 = 2(7) + 3 = 14 + 3 = [tex]\boxed{17}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Find the length of side xx in simplest radical form with a rational denominator.

Answers

Answer:

x = 3sqrt(2)/2

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

The two legs are equal, x

x^2 + x^2 = 3^2

2x^2 = 9

Divide each side by 2

x^2 = 9/2

Take the square root of each side

sqrt(x^2) = sqrt(9/2)

x = sqrt(9)/ sqrt(2)

x = 3 / sqrt(2)

x = 3 sqrt(2) / sqrt(2)*sqrt(2)

x = 3sqrt(2)/2

Answer:

Step-by-step explanation:

The Pythagorean triple for a 45-45-90 triangle, which this is BTW is, in terms of the pattern: (x, x, x√2) where each x is the length of a side across from a 45 degree angle and x√2 is the side length across from the 90 degree angle (this side is also known as the hypotenuse). If the hypotenuse is 3 units long, and the pattern for the hypotenuse is x√2, we can solve for x, the sides across from the 45 degree angles, by setting 3 equal to its pattern for the hypotenuse:

[tex]3=x\sqrt{2}[/tex] so

[tex]x=\frac{3}{\sqrt{2} }= \frac{3\sqrt{2} }{2}[/tex]

Can someone tell me if this is right?

Answers

Answer:

Yep

Step-by-step explanation:

Hfbdjdjdkdjdjkeied

The U.S. Mint produces quarters that weigh about 5.67 grams each. After the
quarters are produced, a machine weighs them. If the quarter weighs 0.02 gram more
or less than the desired weight, the quarter is rejected. Write and solve an equation to
find the heaviest and lightest quarters the machine will approve.

Answers

The U.S. Mint makes commercial circulation coins including commemorative collector's coins including investor bullion coins.In the case of circular coins, the quantities were measured in terms of figures for "production" numismatic categories in order "sales" and bullion "mintage" statistics.

[tex]\to \bold{|x-5.67|=0.02}\\\\[/tex]

heaviest[tex]\bold{=5.69\ g\\\\}[/tex]

lightest[tex]\bold{=5.65\ g\\\\}[/tex]

Evaluating each expression:  

[tex]\to \bold{q = -8}\\\\ \to \bold{r = -6}\\\\ \to \bold{t=3}[/tex]

Learn more:

brainly.com/question/20845315

If x+y = nx+2 then x equals

Answers

Answer:

x+y =  nx+2

⇔x-nx = 2-y

⇔x(1-n) = 2-y

⇔x = (2-y)/(1-n)

Answer:

Hello,

Step-by-step explanation:

x+y=nx+2

x-nx=2-y

x(1-n)=2-y

if 1-n ≠0 (or n≠1) then

[tex]x=\dfrac{2-y}{1-x}[/tex]

Pls help number 1 n 3 Maths

Answers

Answer:

Step-by-step explanation:

1)

[tex]Sin \ \alpha = \frac{oppsoite \ side \ of \alpha }{hypotenuse}=\frac{QR}{PR}\\\\\\Cos \ \alpha = \frac{adjacent \ side \ of \alpha }{hypotenuse}=\frac{PQ}{PR}\\\\\\tan \ \alpha = \frac{oppsoite \ side \ of \alpha }{adjacent \ side \ of \alpha}=\frac{QR}{PQ}\\\\[/tex]

[tex]Sin \ \beta =\frac{opposite \ of\ \beta }{hypotenuse}=\frac{PQ}{PR}\\\\\\Cos \ \beta =\frac{adjacent \ of\ \beta }{hypotenuse}=\frac{QR}{PR}\\\\\\tan \ \beta =\frac{opposite \ of\ \beta }{adjacent \ of\ \beta }=\frac{PQ}{QR}\\\\[/tex]

Help me solve this thanks to who ever will I really appreciate it

Answers

Answer:

135

Step-by-step explanation:

The equation is 135+90+x=360. x=360-(225)=135

[tex]\sqrt{x^{2} +5x+3} +2x^{2} +10x-15=0[/tex]

Answers

Factor√x²+5x+3+2x²+10x-15=0√x²+2x²+5x+10x+3-15=0√3x²+15x-12=0√3x²+(3(5x)+3×-4=0√3(x²+5x)+3×-4=0√3(x²+5x-4)=0

please mark this answer as brainlist

What are the solutions to the system of equations? {y=2x2+6x−10 y=−x+5

Answers

Answer: x = -5, 3/2 y = 10, 7/2

Explanation:

y = 2x^2 + 6x - 10 (1)
y = - x + 5 (2)

=> 2x^2 + 6x - 10 = - x + 5
2x^2 - 7x - 15 = 0
(2x - 3)(x + 5) = 0
=> 2x - 3 = 0
2x = 3
x = 3/2
=> x + 5 = 0
x = -5

According to (2):

y = -x + 5
y = -(-5) + 5
y = 5 + 5 = 10

y = -x + 5
y = -(3/2) + 5
y = -(3/2) + 10/2
y = 7/2

Answer:

I think this is mistake because y=2x^2+6x-10 y=x+5 this is the right

Please help pleaseeee

Answers

Answer:

False

Step-by-step explanation:

When you compare the dots to the numbers, you can see that the 5s and 8s don't match.

The dot plot has 6 5s, but the data has 5.

The dot plot has 2 8s, but the data has 1.

I hope this helps!

pls ❤ and give brainliest pls

Organize the data set:

8,7,5,5,4,2,3,3,4,6,5,4,5,5

2,3,3,4,4,4,5,5,5,5,5,6,7,8

False

Two more than 4 times the cube of a number is 34.

Answers

Answer:

2

Step-by-step explanation:

4x^3 + 2 = 34

4x^3 = 32

x^3 = 8

x=2

If a person invests $190 at 8% annual interest, find the
approximate value of the investment at the end of 10 years.

Answers

Answer:

$410

Answer From Gauth Math

Step-by-step explanation:

This the problem of compound interest

If any amount P is invested at rate of r% per year then its value after n years is given by

amount =  

______________________________

Given

p = $190

r =8%

n = 10 year then

X+3y=2 and y=2x+3
Please explain using substitution method.

Answers

- X + 3Y = 2  (*)

⇔X = 2 - 3Y  (1)

- Y = 2X + 3   (2)

(1),(2)⇒ Y = 2(2 - 3Y) +3

       ⇔ Y = 4 - 6Y + 3

       ⇔ Y = 1  (**)

(*),(**)⇒ X + 3×1 =2

       ⇔ X = -1

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