Use set notation to denote the elements, subsets, and complements of the following given sets.
N is the set of odd natural numbers greater than 11 and less than 21. Use set notation to write the elements of N.
N = {13, 15, 17, 19)
N = {12, 14, 16, 18, 20}
N- {11, 12, 14, 16, 18, 20, 21)
N = {11, 13, 15, 17, 19, 21}

Answers

Answer 1

Answer:

N = {13, 15, 17, 19} is the correct answer.

Step-by-step explanation:

We are given with the following details:

N is the set of odd natural numbers.

N contains the elements which are greater than 11 and less than 21.

To write: The set notation for the elements of set N.

Solution:

First of all, let us see what are odd natural numbers.

Natural numbers are the positive integers i.e. {1,2,3,4, ........ }

Odd Natural numbers are the natural numbers which leave remainder as 1 when divided by 2 i.e. {1,3,5,7,9,11,13, ...... 21, 23, 25, 27.....}

Here, set N is odd natural numbers greater than 11 (so 11 will not be included) and less than 21 (so 21 will not be included). Odd natural numbers between 11 and 21 will be included.

So the answer will be N = {13,15,17,19}.


Related Questions


A high school Philanthropy Club is collecting plastic waste which will be used to create benches for a local park. The volume of the
rectangular container, in cubu feel, used to hold the waste is modeled by the expression below, where x is the width of the container,
in feet
713 + 3,512
If the length of the container is half of a foot longer than its width, what expression represents the height of the container?
help please ​

Answers

Answer:

The expression 7x represents the height of the container.

Step-by-step explanation:

From the question:

We are being informed that; if the length of the container is half of a foot longer than its width.

Let the width be x;

Then the length of the container can now be ; x+1/2

We all known that the volume of a rectangular prism is : V= l×w×h

here;

l = length

w = width

h = height  

If we rewrite the given expression :

[tex]\mathbf{7x^3+3.5x^2}[/tex];

Then we factor we make a similar coefficient  of  the above equation, the  remaining entities left in the parenthesis should be a linear term  with a leading coefficient of 1 to match the expression for the length of the container.

i.e

[tex]\mathbf{7x^3+3.5x^2}} \\ \\\mathbf{7x^2(x+1/2)} \\ \\\mathbf{7*x*x*(x+1/2)}[/tex]

Hence, if the length of the container is half a foot longer than its width, x, then the expression 7x represents the height of the container.

Factorise 28x+30......​

Answers

Answer:

2(14x +15)

Hope it helps

......

2(14x+15)

I think that this I correct

Please help me do this

Answers

Answer:

Step-by-step explanation:

This is part of the Isosceles Triangle Theorem. If one theta is equal to the other theta (and they are or else they wouldn't both be theta; one would be theta and the other might be beta), that means that the sides across from those congruent angles are also congruent. That means that

6x + 6 = 9x - 9 and

15 = 3x so

x = 5

*I WILL MARK YOU BRAINLIEST!!!!*

Answers

Answer:

A

Step-by-step explanation:

Hope it helped

Answer:Thr answer is A

What is four times four need help

Answers

Answer:

16

Step-by-step explanation:

Answer:

16 times

Step-by-step explanation:

the four times four need help is just asking 4×4 which is 16

What is the value of SZT?

Answers

Answer:

[tex] \boxed{m \angle SZT = 121 \degree } [/tex]

Given:

[tex]m \angle RZT = 137 \degree \\ m\angle RZS = 56 \degree [/tex]

Step-by-step explanation:

[tex]= > m \angle RZT = m\angle RZS + m \angle SZT \\ \\ = >157 \degree = 36 \degree+ m \angle SZT \\ \\ = > 157 \degree - 36 \degree = m \angle SZT \\ \\ = > 121 \degree = m \angle SZT \\ \\ = > m \angle SZT = 121 \degree [/tex]

someone help plz :(((( !!!

Answers

Answer: 9/4a^2|b^3|c^4

Step-by-step explanation:

81/16

Square root(81) = 9

Square root(16) = 4

9/4

Since 4 is the index of the radical, all of the exponents divide by 4

(index 4)a^8 = a^2

(index 4)b^12 = b^3

(index 4)c^16 = c^4

Now put the variables together to get the answer:

9/4a^2|b^3|c^4

I) CD and EF are parallel lines.
AB is a straight line.
An angle of size 135 degrees is shown.
Write down the letter of one other angle of size 135 degrees given a reason for your answer on the same line.

ii) The size of angle p+q+r =

Answers

If the two lines are parallel and a straight line is between them and one side of the straight line is 135 degrees then the other side will be 180-135=45

Joey is at the pet store wanting to purchase a puppy. The cost of the puppy is $65. He will need to purchase supplies for his new puppy. The puppy food and training pads are the same price. If Joey spends $97 on this total purchase, how much would the puppy food and training pads cost? Explain your answer.

Answers

The answer is :
97+65= 162
The final answer is $162

Answer:

97 - 65 = $32 for both the puppy food and training pads

32 / 2 = $16 for the puppy food and $16 for the training pads

if your have 4096 cube
A) find the maximum dimensions of a cube u can make?
B) the big cube in a) is re-arrange into a cuboid which has a 4 cube height and a square base area, what is the maximum area of cuboid base ​

Answers

Answer:

a) [tex]\sqrt[3]{4096} = 16[/tex]

b) 4096/ 4 = 1024

Step-by-step explanation:

Solve 0.48 ÷ 0.04 Help me please

Answers

Answer:

12

Step-by-step explanation:

[tex]0.48\div 0.04[/tex]

If you multiply both terms by 100, the result will be the same, because 100/100=1. You can therefore rewrite this as 48/4, which is equal to 12. Hope this helps!

Answer:

12

Step-by-step explanation:

0.48x100=48

0.04x100=4

48/4=12

A rectangle has length x+2 and width x+1. Which equation correctly represents the perimeter of the rectangle? 1. 2(x+2)=2x+4 2. 2(2x+3)=4x+6 3. 2(2x+3)=4x+3 4. 2(x+1)=2x+2

Answers

Answer:

4x+6

Step-by-step explanation:

P=2L+2W

P= 2(x+2) +2(x+1)

P= 2x+4+2x+2

P= 4x+6

one x-intercept for a parabola is at the point (1,0). use the factor method to find the other x-intercept for the parabola defined by y=2x^2+2x-4

Answers

Answer:

(- 2, 0 )

Step-by-step explanation:

Given

y = 2x² + 2x - 4

To find the x- intercepts let y = 0, that is

2x² + 2x - 4 = 0 ( divide through by 2 )

x² + x - 2 = 0 ← in standard form

(x + 2)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 1 = 0 ⇒ x = 1

x- intercepts are x = - 2, x = 1, that is

(1, 0 ) and (- 2, 0 )

The other x- intercept is (- 2, 0 )

In need of help PLEASE!!!!​

Answers

Answer:

a bc I think it's right idk really

Step-by-step explanation:

jdlaifnshfjtjtjfjdjsjdurbxusnejskshduanwufnrudjdjfkgkgjdjfjgktjvinehdovndintivnsjvolebvinebfirbxjbwhgoenchbtijbegijrgcihegcinrhd

What is the y-value when x equals -12.

Answers

Answer:

-128 it’s on the table

Step-by-step explanation:

HEY!HERE IS UR ANSWER:

So as x=-12

Well then y=-200-6(-12)

y=-200+72 {Positive 72 cause negative 6 * negative 12 equals positive 72}

y=-128

HOPE IT MAKES UR DAY BETTER!!

Solve the system of equations. –6x + y = –21 2x − 1 3 y = 7 What is the solution to the system of equations? (3, 3) (2, –9) infinitely many solutions no solutions

Answers

Answer:

[tex]y = - 15 \\ x = - 94[/tex]

Step-by-step explanation:

it's not both of dem

The solution to the system of equations is x= −133/ 40 and y= −21/ 20

What is a system of equations?

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one.

6x+ y= -21 is equation (1)

2x - 13y= 7 is equation (2)

Solve 6x+y=−21 for y:

6x+y=−21

6x+y+−6x=−21+−6x

y=−6x−21

Substitute −6x−21 for y in 2x−13y=7:

2x−13y=7

2x−13(−6x−21)=7

80x+273=7

Now Simplify both sides of the equation;

80x+273+−273=7+−273

Add -273 to both sides

80x=−266

x= −133/ 40

y=−6x−21

y=−6( −133 /40 )−21

y= −21/ 20

Hence x= −133/ 40 and y= −21/ 20

learn more about system of equations here;

brainly.com/question/25180086

#SPJ6

What is the volume of 1.5 Tonne of sand of density 2600 kg/m3?  

Answers

Answer: 0.58 m^3

Step-by-step explanation:

V= 2600 / 1500

= 0.58 m^3

Can someone explain how $3.79 x 2 =$7.58 is equivalent to $7.58/2=$3.79

Answers

Answer:

ehhrr idk

Step-by-step explanation:

Answer:

Because 7.85/2 mean that you are diving the top by the bottom so that would give you the answer of $3.79, I hope I answered your question how you wanted it to be I am sorry if I didn't

Step-by-step explanation:

what is being constructed based on the markings in the following diagram???

Answers

Please include diagram.

Answer:

What diagram though?

'

Step-by-step explanation:

please help me I’m struggling :( , sorry about it being sideways.

Answers

The answer is graph C

Algebra 2 can anyone help??

Answers

Answer:

Step-by-step explanation:

cot θ=-9.68

cotθ is negative

so θ lies in 2nd or 4th quadrant.

tan θ=-1/9.68

θ=tan ^{-1}(-1/9.68)≈174.1°,354.1°

3.

sec θ=-9.13+5=-8.13

sec θ is negative so θ lies in 2nd or 3rd quadrant.

cos θ=(-1/8.13)

θ=cos^{-1}(-1/8.13)≈97.1°

A rectangle with a length of x + 5 has a perimeter of 4x + 14.

1. Write the expression for the width of the rectangle in terms of x.

Help plsss

Answers

Answer:

hope this helps you

Can someone explain me how to find square root by prime factorization ?

Answers

Answer:

STEPS Step I: Obtain the given number. Step II: Resolve the given number into prime factors by successive division. Step III: Make pairs of prime factors such that both the factors in each pair are equal. Since the number is a perfect square, you will be able to make an exact number of pairs of prime factors. Step IV: Take one factor from each pair. Step V: Find the product of factors obtained in step IV. Step VI: The product obtained in step V is the required square root.Example

Find the square root of 324

324 = 2 x 162 = 2 x 2 x 81 = 2 x 2 x 3 x 27 = 2 x 2 x 3 x 3 x 9 = 2 x 2 x 3 x 3 x 3 x 3 ∴ √324 = √( 2 x 2 x 3 x 3 x 3 x 3 ) √324 = 2 x 3 x 3 √324 = 18

Isabelle is mixing red paint with blue paint to make purple paint. She adds of a fluid ounce of red to of a fluid ounce of blue to make fluid ounces of purple. How many fluid ounces of red paint will she need to make 3 fluid ounces of purple paint?
A.
fluid ounce
B.
fluid ounce
C.
fluid ounce
D.
fluid ounces

Answers

1.5 fluid ounce isn’t it

Answer: the correct answer will be 27/31

Step-by-step explanation:

Graph the line y = -5/4x-3

Answers

Answer:

Well I can't exactly graph for you but I will tell you the y intercept is at (0,-3) and the slope is -5/4

Step-by-step explanation:

Make a graph and plot a point on (0,-3)

Then go down 5 and go right 4 to represent the slope of -5/4

Hope this helps!

The graph of line y= -5/4x -3 is attached below.

We have the equation

y= -5/4x - 3.

To graph the line y = -5/4x - 3, you can use the slope-intercept form of a linear equation, which is y = mx + b.

In this equation, "m" represents the slope, and "b" represents the y-intercept.

From the given equation, we can determine that the

slope (m) is -5/4, and the y-intercept (b) is -3.

The graph of the line y = -5/4x - 3 should look like a downward-sloping line that passes through the points (0, -3), (4, -8), and (-4, -2).

Learn more about Graph here:

https://brainly.com/question/29041646

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A candle maker uses a mold to make candles like
the one shown below.
(photo attached)

The height of the candle is 13 cm and the
circumference of the candle at its widest measure is
31.416 cm. Use modeling to approximate how
much wax, to the nearest cubic centimeter, is
needed to make this candle.

Answers

Answer: 340 cm3  

Step-by-step explanation:

Hi, to answer this question we have to apply the next formulas:  

Circumference = 2π radius

Replacing with the circumference value and solving for r:

31.416 =2π r

31.416 /2π =r

5cm =r

And then:

Volume of a cone = 1/3 x π x radius^2 x height  

Replacing with the values given:  

V = 1/3 π (5)^2 (13) = 340 cm3  

Feel free to ask for more if needed or if you did not understand something.  


2) Find the probability of rolling a 2 or smaller.

Answers

There are 6 numbers in one die.

There are 2 numbers that are less than or equal to 2, they are 1 and 2

The probability of something happening is the number of chances / total number

The probability would be 2/6, which can be reduced to 1/3

pls help me pls pls pls help me. thanks. ​

Answers

Answer: y = 3

Step-by-step explanation:

14/y - 2/3 = 4

14/y = 4 + 2/3

14y = 14/3

y = 3

The answer would be y=3

Please help guys please

Answers

Answer: The answer is A

Step-by-step explanation:

(7x + 30) and 11x

I'm not sure what and is...is it adding or an equal sign?

Answers

for equal sign

(7x+30)=11x

30=11x-7x

30=4x

30/4=x

7.5=x

for plus sign

evalute

(7x+30)+11x

7x+11x+30

18x+30

factorize

(7x+30)+11x

18x+30

6(3x+5)

hope it help yuh..

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