If ε = {whole numbers less than 50 but greater than 20} and X = {perfect squares}, Y = {factors of 12}, Z = {prime numbers}; find the following:
a) X ∪ Y
b) X ∩ Y
c) X ′
d) X′ ∩ Y ∩ Z

Answers

Answer 1

Answer:

A. X∪Y = {25, 36, 49}

B. X∩Y = ∅ i.e empty set

C. X' = {21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48}

D. X′∩Y∩Z = ∅

Step-by-step explanation:

We'll begin by determining the universal set (ε), set X, set Y and set Z.

This can be obtained as follow:

ε = {whole numbers less than 50 but greater than 20}

ε = {21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49}

X = {perfect squares}

X = {25, 36, 49}

Y = {factors of 12}

Y = ∅ i.e empty

Z = {prime numbers}

Z = {23, 29, 31, 37, 41, 43, 47}

A. Determination of X∪Y

X = {25, 36, 49}

Y = ∅

X∪Y =?

X∪Y => combination of elements in set X and Y without repeating any element in both X and Y.

X∪Y = {25, 36, 49}

B. Determination of X∩Y

X = {25, 36, 49}

Y = ∅

X∩Y =?

X∩Y => elements common to both set X and Y

X∩Y = ∅ i.e empty

C. Determination of X′

ε = {21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49}

X = {25, 36, 49}

X' =?

X' => elements in the universal set but not found in set X.

X' = {21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48}

D. Determination of X′∩Y∩Z

X' = {21, 22, 23, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48}

Y = ∅

Z = {23, 29, 31, 37, 41, 43, 47}

X′∩Y∩Z =?

X′∩Y∩Z => elements common to set X', Y and Z

X′∩Y∩Z = ∅


Related Questions

Find the area of the trapezoid below.
9
10
21
PLEASE I NEED HELP 10 BRAINLY POINTS

Answers

Sorry but there not trapezoid

Step-by-step explanation:

I dont know the answer put I know the steps so first find the area of a trapezoid by multiplying the sum of the bases ( the parallel side) by the height .(the perpendicular distance between the bases ) and the last thing you do is divide it by 2 . I hope that I helped and good luck.

what is the m<2 = ?

Answers

Answer:

The area equal to a square that is 1 meter on each side. Used for measuring areas of rooms, houses, blocks of land, etc

Step-by-step explanation:

The answer is 1 meter on each side

Work out the value of x.


Answers

Answer:

The value of x could be anything, so I don't know what you mean until you have some sort of equation or graph - or anything at that.

Step-by-step explanation:

i'm almost done !!! thanks for the help

Answers

answer:

i believe the answer is "a"

good luck :) hopefully, this helps

have a great day !!

The answer is B 1 is also included

Find the area of this parallelogram

Answers

area is base x height
4x2=8 cm

7. What is the missing measure?
12 cm
x х
3 cm
A 8 cm
B 4 cm
9 cm
C 6 cm
D 3 cm

Answers

B 4 cm

Scale is 3 so 12/3 is 4
te answer is 4. Because nvmldutuzugxuxgicyixyoxyoco

15 - 7 + 3 ( 6 + 2) / 2^3 PLEASE SOLVE BY USING A STEP BY STEP SOLUTION

Answers

Answer:

11

Step-by-step explanation:

PEMDAS

Parentheses first:

15 - 7 + 3 (8) / 2^3

Exponent second:

15 - 7 + 3 (8) / 8

Multiplication:

15 - 7 + 24 / 8

Division:

15 - 7 + 3

Addition:

15 - 4

Subtraction:

11

Answer:

The answer is [tex]{\underline{\boxed{\sf{\purple{4}}}}}[/tex]

Step-by-step explanation:

Solution :

To solve the above equation we will follow the BODMAS rule.

[tex]\small\pink\bull[/tex] BODMAS is an order of mathematic operations.[tex]\small\pink\bull[/tex]  BODMAS rule is to be followed while solving expressions in mathematics.

It stands for :

[tex]\begin{gathered}\quad\begin{gathered} \small \begin{array}{l} \star \: \rm B= bracket \\\star \: \rm O= order \: of \: power \: \\\star \: \rm D= division \\\star \: \rm M= multiplication \\ \star \: \rm A= addition \\ \star \: \rm S=subtraction \end{array}\end{gathered}\end{gathered}[/tex]

Solving the question by bodmas rule :

[tex]\implies\tt{\dfrac{15 - 7 + 3(6 + 2)}{{2}^{3}}}[/tex]

[tex]\implies\tt{\dfrac{15 - 7 + 3(8)}{2 \times 2 \times 2}}[/tex]

[tex]\implies\tt{\dfrac{15 - 7 + 3 \times 8}{4\times 2}}[/tex]

[tex]\implies\tt{\dfrac{15 - 7 + 24}{8}}[/tex]

[tex]\implies\tt{\dfrac{39- 7}{8}}[/tex]

[tex]\implies\tt{\dfrac{32}{8}}[/tex]

[tex]\implies\tt{\cancel{\dfrac{32}{8}}}[/tex]

[tex]\implies\tt{\underline{\underline{\red{4}}}}[/tex]

Hence, the answer is 4.

what is the area of this polygon? please help i’ll give brainliest

Answers

9514 1404 393

Answer:

  486√3 ft² ≈ 841.8 ft²

Step-by-step explanation:

The area of a regular hexagon with side length s is ...

  A = (3√3)/2s²

For the side length of 18 ft, the area is ...

  A = (3√3)/2(18 ft)² = 486√3 ft² ≈ 841.8 ft²

What is the slope of the line through (-9, 6) (-3, 9)

Answers

Slope= m= 1/2
Hope this helps!
To find the slope, you can use the equation y2-y1 divided by x2 - x1. When you plug in the numbers from the problem, the equation becomes 9-6/-3-(-9). We know that subtracting by a negative is the same as adding a positive, so the equation becomes 9-6/-3+9. When you solve this, it becomes 3/6, which can be simplified to become 1/2. I have attached an image to hopefully make this easier for you to understand because I know it’s a bit confusing written out in words (I’m sorry if the image is bad, I drew it on my phone). If there is anything that you need me to clarify, please let me know and I will be happy to help!

A point is reflected in the x-axis. The reflected point is (3,−9). What is the original point? The original point is ( , ). Question 2 What is the distance between the points? The distance between the points is units.

Answers

Answer:

The original point is [tex]P(x,y) = (3,9)[/tex].

The distance between the points is 18 units.

Step-by-step explanation:

The reflection of a point with respect to the x-axis is defined by the following operation:

[tex]P(x,y) = (x,y) \to P'(x,y) = (x, -y)[/tex] (1)

Where:

[tex]P(x,y)[/tex] - Original point.

[tex]P'(x,y)[/tex] - Resulting point.

If we know that [tex]P'(x,y) = (3, -9)[/tex], then the original point is [tex]P(x,y) = (3,9)[/tex].

The original point is [tex]P(x,y) = (3,9)[/tex].

The distance between the points ([tex]d[/tex]), in units, is determined vectorially by the following expression, which is equivalent to the Pythagorean Theorem:

[tex]d = \sqrt{[P'(x,y) -P(x,y)]\,\bullet\,[P'(x,y) -P(x,y)]}[/tex]

[tex]d = \sqrt{(0,18)\,\bullet (0,18)}[/tex]

[tex]d = \sqrt{0^{2}+18^{2}}[/tex]

[tex]d = 18[/tex]

The distance between the points is 18 units.

Answer:(3,9) Distance 18 units.

Step-by-step explanation:

Examine the equation.

–2(–x + 9) = 2(x – 9)
2x – 18 = 2x – 18
This equation has

Answers

Answer:

infinite solutions

Step-by-step explanation:

Answer:

infinite many solutions.

Step-by-step explanation:

I got it correct in edge

solve the equation
-3|3x+6|+2=9​

Answers

Answer:

x= -0.36

firstly you need to open the brackets

-3(3x +6) + 2=9

-9x -18 + 2=9

secondly join the like terms together

-9x = 9 + 18 - 2

-9x = 25

thirdly you divide both sides by 25

-9x ÷ 25 = -0.36

x= -0.36

Which expression is equivalent to x2 + 2x + 2
a. (x + 1 - i ) (x + 1 + i)
b. (x - 1 + i) (x - 1 - i)
c. (x + 1 - i ) (x + 1 - i)
d. ( x + 2) (x + 1)

Answers

The answer is Option A.

x + 1 - i ) (x + 1 + i)

Solution:

x (x+2) +2

(x+1)² + 1

= (x + 1 - i ) (x + 1 + i)

Answer:

Step-by-step explanation:

for the expression you wrote: x2 + 2x + 2 the answer is: none

the expression you have there is: x² + 2x + 2 and the answer is: a

by expanding a:

(x + 1 - i ) (x + 1 + i) = x² + x + xi + x + 1 + i - xi - i  + 1

(x + 1 - i ) (x + 1 + i) = x² + x + x + 1 + 1

(x + 1 - i ) (x + 1 + i) = x² + 2x + 2

Suppose the inflation rate is 7% per year. How much would a $24 pair of
sneakers cost in 8 years? Estimate your answer to 2 places after the decimal.
Tine your answer

Answers

7% of $24.00 is $1.68.
$1.68 x 8 = $13.44
$13.44 + $24.00 = $37.44

$37.44 would be how much they cost in 8 years

Please help solve
no link please

Answers

Answer:

17 x 8 x 15 x 7 = 14280

Warnings:Please I have 5 warnings I will never answer bad questions or say rude things please remove I warnings. Please I don't want to get banned.Please. No free points. Please.

y= x^2 + 2


SOLVE I need help

Answers

I think the answer is (0,2)

What is the measure of

Answers

Yeh provide more info

the area of the rectangle shown represents a polynomial. the dimensions of this rectangle represent the ____


A. terms of the polynomial

B. square of the polynomial

C. product of the polynomial

D. factors of the polynomial


HELP ME BESTIES PLS

Answers

Answer:

D) Factors of the polynomial

Step-by-step explanation:

Example: If the polynomial 10x² represents the area of the rectangle, then

2x and 5x will be the dimensions of the rectangle. Thus they will be factors of the polynomial.

So, dimensions of the rectangle represents the factors of the polynomial.

Which method would be the best to ensure they select the “most talented” soccer players? Answer choices are in the pic.

Answers

Answer:

the first choice

Step-by-step explanation:

the most talented ones are at the top of the list.

The lengths of the sides of a triangle are given below. Classify the triangle as acute, obtuse, or right.
13, 5, 12

A. Acute Triangle


B. Obtuse Triangle


C. Right Triangle

Answers

Answer:

C. Right Triangle

Step-by-step explanation:

Verify with Pythagorean:

13² = 1695² + 12² = 25 + 144 = 169169 = 169

We see the squares are equal, so this is a right triangle.

Correct choice is C

help please due in a few hours!!

Answers

Answer:

10.03

Step-by-step explanation:

Emily walked around 2 parks. One measures 54 feet by 38 feet and other measure 32 feet by 22 feet. How much did she walk?

Answers

Answer:

292 feet

Step-by-step explanation:

If Emily walked round the two rectangular parks, she walked round the perimeter of the parks.

the total distance she walked can be determined by calculating the perimeter of each of the park and adding the perimeters together

Perimeter of a rectangle = 2 x ( length + breadth)

Perimeter of the first park = 2 x (54 ft + 38 ft) = 184 ft

Perimeter of the second park = 2x (32 + 22) = 108 ft

Sum of the perimeters = 184 ft + 108 ft = 292 ft

Identify the image of ∆XYZ for a composition of two 90° rotations about point X.

Answers

(x,y) ———- (-x,-y) 90 + 90 = 180

Answer:

The first image is ∆XYZ and the second image is ∆XYZ and the composition of two 90° (180°) rotations about point x

pls help I'm confused, oh and can you also explain it. 15pts​

Answers

Answer:

6

Step-by-step explanation:

This triangle is a special right triangle. In triangles with the angles 30, 60, and 90, the side opposite of the 30 degree angle will always be half the length of the hypotenuse. The hypotenuse is the longest side of a right triangle. In a 30 60 90 triangle, the long side will be equal to the short side multiplied by the squareroot of 3, but that is not needed for this problem. Since the hypotenuse is 12, the side opposite of the 30 degree angle, labeled "s h o r t" will be half of 12. Half of 12 is equal to 6, therefore the short side will be equal to 6.

lmk if i made a mistake, hope this helps :)

I need this answered as soon as possible

Answers

Answer:

34

Step-by-step explanation:

basically you need to actually put something in the black photo there

Answer:

its black Ф_Ф

Step-by-step explanation:

WILL GIVE BRAINLIEST!

Given that m∠a = 93° and m∠b = 71°, find m∠x and m∠y.

m∠x =

°

m∠y =

°

Answers

Step-by-step explanation:

angle b = 71°

so, x + b = 180° ( linear pair )

x + 71° = 180°

x = 180° - 71°

x = 109°

Now, a + y = 180° ( linear pair )

93° + y = 180°

y = 180° - 93°

y = 87°

Hence, the value of x is 109° and y is 87°.

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

I will tell D or C but I'm not sure :-\

Mr.Jones earned $4,800.00 a week. One week he saved 1/5 of his wages was spent?

Answers

Answer:

960

Step-by-step explanation:

We need to find 1/5 of 4800, we will do:

4800/5=960

So 960 is our answer.

Guided Practice


Name the set(s) of numbers to which the number belongs.

√5


A.
irrational numbers


B.
rational numbers


C.
integers, rational numbers


D.
whole numbers

Answers

Answer:

A.

irrational numbers

Step-by-step explanation:

Name the set(s) of numbers to which each number belongs.

1/33......the number is rational

 

7........Natural Number....whole number

-20/4=-5........integer

-7.34.........rational

[tex]\sqrt{5}[/tex]......... irrational number

all above numbers belong to the "REALS"

Use the definitions in order to categorize the numbers as either natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers.

Irrational Numbers, Real Numbers

Answer: A. Irrational Numbers

Step-by-step explanation:

Gradpoint.

A survey was conducted to determine the favorite
snack food of 300 shoppers at a grocery store. The
circle graph shows the results of the survey.
How many shoppers chose cookies or fruit as their
favorite snack food?
Favorite Snack Foods
A 90
Cookies
15%
B
45
Fruit
15%
Other
5%
Candy
40%
C 60
Chips
25%
D 30

Answers

Answer:

Step-by-step explanation:

30

Answer:45

Step-by-step explanation:

Because 15% of 300 is 45

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