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

To solve the equation, Antwan uses the distributive property, combines like terms, then uses the addition and subtraction properties of equality to isolate the variable term on one side of the equation and the constant term on the other side. What are the possible values of the constant after Antwan has completed these steps?


3 (1/3x + 1) + 4 = -1 - 4 (x + 3)


A.) –3 or 3

B.) –3 or 5

C.) –20 or 5

D.) –20 or 20

Answers

The answer is c-20 or 5

Answer:

the answer is D

Step-by-step explanation:

another EASY question for y’all mathy people, easy points! Question in photo.

Answers

C. 10 cm, 24 cm, 26 cm

Answer:

the answer is c

Step-by-step explanation:

Using the properties of equality to solve the equation -2b + 7 = -13, you would _____.

A.) add 13 and then divide by -2
B.) subtract 7 and then add 2
C.) subtract 7 and then divide by -2
D.) add 13 and then add 2
this is multiple choice

Answers

Answer:
c. subtract 7 from both sides and then divide both sides by -2

Explanation:
Step 1 - Subtract 7 from both sides
-2b + 7 = -13
-2b + 7 - 7 = -13 - 7
-2b = -20

Step 2 - Divide both sides by -2
-2b = -20
-2b / -2b = -20 / -2b
b = 10

Answer:

Subtract 7 from each side

Divide each side by -2

Step-by-step explanation:

-2b+7 = -13

Subtract 7 from each side

-2b+7 -7= -13-7

-2b = -20

Divide each side by -2

-2b/-2 = -20/-2

b = 1-

what is half x 3a or 1/2 x 3a

Answers

Answer:

the answer is

3a/2

Step-by-step explanation:

1/2 × 3a = 3a/2

Step-by-step explanation:

1/2 times 3a=3a/2

hence one and a half a, or 1 and 1/2a

A sample of gold has a volume of 3 cm3 and a mass of 40.7 grams. What is the density of this sample?

Answers

Answer:

Density = 13.57 g/cm³

Step-by-step explanation:

▪Volume = 3 cm³

▪Mass = 40.7 grams.

▪Density (p) = Mass (m) ÷ Volume (v)

p = m ÷ v

p = 40.7 ÷ 3

p = 13.56666

p = 13.57 g/cm³

true or false ? why and why not ?


7a + 4 - 2a is equivalent to 7a + -2a + 4

Answers

True because it’s a diamond Rottweiler

Wright (3+4i)+(8+2i) as a complex number in standard form

Answers

Answer:

11 +6i

Step-by-step explanation:

(3+4i)+(8+2i)

Add the real portions

3+8 = 11

Add the imaginary portions

4i+2i = 6i

The complex number in a+bi form is

11 +6i

Answer:

[tex] = 11 + 6i[/tex]

Step-by-step explanation:

[tex](3 + 4i) + (8 + 2i) \\ 3 + 4i + 8 + 2i \\ = 11 + 6i[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Find the volume of the sphere. Round to the nearest tenth, if necessary. (Use π = 3.14)

113.0 in^3
339.1 in^3
28.3 in^3
113.0 in^2

Answers

Steps:

Shape: Sphere

Solved for volume

Radius: 3

Formula: V=4 /3πr3

1: know the height. We don't have to round to the nearest tenth. The correct answer for this question is 113.0.

Answer:  113.0

Please mark brainliest

Hope this helps.

Los lados de un triángulo rectángulo miden 6m, 8m y 10m. respectivamente. ¿Cuánto medirán los catetos de un triángulo semejante al primero si su hipotenusa mide 15m?

Answers

Answer: Los catetos medirán 12m y 9m.

Step-by-step explanation:

Bueno, sabemos que los lados de nuestro triangulo son 6m, 8m y 10m.

Podemos usar relaciones trigonométricas para encontrar los ángulos de este triangulo.

Cos(X) = cateto adyacente/hipotenusa

Si tomamos al cateto adyacente como 8m, tenemos:

Cos(X) = 8m/10m

X = Acos(8/10)  

Esto nos dice que para que nuestro otro triangulo rectángulo sea equivalente al primero, entonces los nuevos catetos C1  y C2 tienen que ser tal que los cocientes entre los catetos y la hipotenusa se mantengan constantes:

C1/15m = 8m/10m

C1 = (8/10)*15m = 12m

C2/15m = 6m/10m  

C2 = (6/10)*15m = 9m.

five more than a half number is 6. find the number.

Answers

First write the equation:
1/2x + 5 = 6

Then subtract five from both sides:

1/2x = 1

Multiply both sides by 2:

x = 2
Equation :
1/2x +5 = 6

Subtract both sides by five:
1/2x = 1

Multipy by 2:
X=2

I need help. Like just help please lol I don’t understand this and I’m dumb :) thanks

Answers

Answer:

C

Step-by-step explanation:

The formula for the volume of a cylinder is [tex]\pi r^2 h[/tex], since you are multiplying the area of the base (a circle) by the height of the cylinder to find the volume. Therefore, the volume of this cylinder is:

[tex]\pi r^2 h= \\\\3.14 \cdot 8^2 \cdot 15=\\\\3.14 \cdot 960=\\\\3014.4[/tex]

Hope this helps!

Answer:

[tex]3014.4ft^3[/tex]

even though this is not the most precise answer, ths is the answer you will be looking for

Step-by-step explanation:

To find the volume of a cylinder you use the formula [tex]V=\pi r^2h\\=\pi *8^2*15\\=3015.93ft^3[/tex]

a = 6 and b = 24 work out the values a) a+b b) ab c) b/a d) d) (a+b)^2

Answers

Answer:

a) 30

b) 144

c) 4

d) 900

Step-by-step explanation:

a) 6 + 24 = 30

b) 6 * 24 = 144

c) 24 ÷ 6 = 4

d) [tex]30^2=900[/tex]

Answer:

a) 30

b) 144

c) 4

d) 900

Step-by-step explanation:

a) 24+6

b) 6(24)

c) 24/6

d) (24+6)^2

x=12-1//3x
can anyone tell me the full answer

Answers

Answer:

x=9 is the answer......

the sum of two binomials is 9x^2-4x. if one of the binomials is 3x^2-2x, which of the following choices is the other binomial? a) 6x^2-2x b) 6x^2-6x c) 12x^2-6x d) none

Answers

Answer:

B. 6x²-6x

Step-by-step explanation:

If the sum of two binomials is 9x²-4x, and we know that one of them is 3x²-2x, we must subtract 3x²-2x from 9x²-4x to find the second binomial.

9x²-4x-3x²-2x

Combine like terms

6x²-6x

Which of the following choices will simplify (8 − 5)2 + + 4

Answers

Answer:

10

Step-by-step explanation:

(8-5)2 + 4, let's start with the first step, the parentheses.

(8-5)=3 , then we multiply by 2, so (3)*2 which equals 6. 6+4=10!

Hope this helps! :)

Answer: the answer is 19

Step-by-step explanation:

i just got this question and got it right!

How do I find value of X

Answers

Answer:

147°

Step-by-step explanation:

106°+139°+126°+141°+112°+129°+x =900°

753°+x = 900°

x = 900°-753°

x=  147° (sum of the interior angles of a heptagon=900°)

Have a feeling it’s 3X am i correct ??

Answers

Answer:

D

Step-by-step explanation:

The volume of a cube can be found by multiplying together all of the side lengths by each other, or:

[tex]x\cdot x \cdot x=x^3[/tex]

Therefore, the correct answer is D. Hope this helps!

Answer:

D. x^3.

Step-by-step explanation:

The volume = length*width*height

= x * x * x

= x^3.

The Side-Side-Side (SSS) similarity theorem states that triangles are similar if the corresponding sides of the triangles are congruent.

True

False

Answers

Answer:

False

Step-by-step explanation:

When triangles are similar, their sides are proportional, not congruent.

I hope this helps :))

That would be true because of the definition of the SSS Similarity Theorem

There is a narrow rectangular plot, reserved for a school, in Mahuli VIIage
length and breadth of the plot are in the ratio 11:4. At the rate 100 per metre it will
cost the village panchayat 75000 to fence the plot. What are the dimensions of
the plot?​

Answers

Answer:

550x100

Step-by-step explanation:

First divide 75000 by 100 to get 750. Then divide 750 by 15 to get 50. Lastly multiply 50 by 11 to get 550 and multiply 50 by 4 to get 100.

Which table shows a function that is decreasing only over the interval (–1, ∞)? A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 1, negative 3, negative 5, negative 2, negative 1, 2. A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 3, negative 5, negative 7, negative 6, 1, negative 1. A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 4, negative 3, negative 1, 2, 1, negative 6. A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 5, negative 1, 1, 0, negative 4, negative 8.

Answers

Answer:

Your answer is B.

Have a great day!

Step-by-step explanation:

I'm so sorry that I do not have an explanation for you. I truly am.

Answer:

B

Step-by-step explanation:

Here is a rectangle ABCD the length of the rectangle is increased by 10% The width of the rectangle is increased by 5% Find the percentage increase in the perimeter of the rectangle

Answers

Answer:

7.5 % increase

Step-by-step explanation:

So,first we  know that Square is also a special type of Rectangle,

so consider a Square with side 100 unit ,

Initially, After increament in side

Length = 100 unit -(increases by 10% ,So 110% of 100)    NEW length = 110 unit

width = 100 unit (increases by 5% ,So 105% of 100)     NEW  width =     105

initially, Perimeter of Rectangle = 2 x (L + B)  = 2 x (100 +100)

                                                              = 400 unit

After increment in length and width

Perimeter of New Rectangle = 2 x (L + B)  = 2 x (110 +105)

                                                                     = 430 unit

So we can clearly see that there is an increase of 30 unit in perimeter from initial.

Therefore ,% increase in perimeter will be

                   (final perimeter - initial perimeter)/initial perimeter x 100

                      =  (430 - 400)/400 x 100

                      = 7.5 % increase

Answer:

increased by 8%

Step-by-step explanation:

need help with soh cah toa will award most brainliest

Answers

Answer:

46.07

Step-by-step explanation:

CAH (cosine=adjacent/hypotenuse)

cos (71)=15 (adjacent)/x (hypotenuse)

x=15/cos(71)

x=46.07

Answer

so what you do is

Step-by-step explanation:

do Cos71= 15/x

becomes x times cos71 = 15

becomes x =  15/cos71

then if u put in calculater and type 15 divided by the cos of 71 and make sure oyur calculater is on degrees an you will get answer

Consider the diagram. Lines a and d are?

Answers

Answer:

perpendicular

Step-by-step explanation:

They form a 90 degree angle

Bess drew a rectangular prism that is 12 units long, 8 units wide, and 13 units tall. What is the volume of the rectangular prism? A. 109 cubic units B. 156 cubic units C. 970 cubic units D. 1,248 cubic units

Answers

Answer:

D. 1,248 cubic units

Step-by-step explanation:

the volume of the rectangular prism = length*width*height = 12*8*13 = 1248 cubic units

Answer: D. 1,248 cubic units

Step-by-step explanation:

The formula for a rectangular prism volume is: V = Length x Width x Height.

In this question it already gives us all of the sides that we need! So all we need to do is just multiply all the sides together to get the volume.

12 x 8 x 13 = 1,248. Therefore D is correct!

Hope this helped you!

Suppose a projectile is fired from a cannon with velocity v0 and angle of elevation θ. The horizontal distance Rθ it travels (in feet) is given by the following.
=Rθv02sin2θ32
If =v080 /fts, what angle θ (in radians) should be used to hit a target on the ground 95 feet in front of the cannon?
Do not round any intermediate computations, and round your answer(s) to the nearest hundredth of a radian. (If there is more than one answer, enter additional answers with the "or" button.)

Answers

Answer:

0.25 rad to the nearest hundredth radian

Step-by-step explanation:

Here is the complete question

Suppose a projectile is fired from a cannon with velocity vo and angle of elevation (theta). The horizontal distance R(θ) it travels (in feet) is given by the following.  

R(θ) = v₀²sin2θ/32

If vo=80ft/s what angel (theta) (in radians) should be used to hit a target on the ground 95 feet in front of the cannon?

Do not round any intermediate computations, and round your answer(s) to the nearest hundredth of a radian.

(θ)= ?rad

Solution

R(θ) = v₀²sin2θ/32

If v₀ = 80 ft/s and R(θ) = 95 ft

θ = [sin⁻¹(32R(θ)/v₀²)]/2

= [sin⁻¹(32 × 95/80²)]/2

=  [sin⁻¹(3040/6400)]/2

=  [sin⁻¹(0.475)]/2

= 28.36°/2

= 14.18°

Converting 14.18° to radians, we have 14.18° × π/180° = 0.2475 rad

= 0.25 rad to the nearest hundredth radian

Answer:

Theta= 0.32 rad

or Theta= 1.25 rad

Step-by-step explanation:

On the Aleks explanation

The image shows a geometric representation of the function f(x) = x2 – 2x – 6 written in standard form. An algebra tile configuration. Only the Product spot is shown. 9 tiles are in the Product spot: 1 + x squared, 2 negative x, 6 negative. What is this function written in vertex form? f(x) = (x –1)2 – 7 f(x) = (x +1)2 – 7 f(x) = (x –1)2 – 5 f(x) = (x +1)2 – 5

Answers

Answer: A on Edge

Step-by-step explanation:

f(x) = (x –1)2 – 7

Answer:

A

Step-by-step explanation:

!!! Use the sum of cubes identity to find the factors of the expression 8x^6 + 27y^3. Write your answer in the form of the expression on the right of the sum of cubes identity. CLIP IN QUESTION

Answers

Answer:

(2x² + 3y)(4[tex]x^{4}[/tex] - 6x²y + 9y²)

Step-by-step explanation:

A sum of cubes is factored in general as

a³ + b³ = (a + b)(a² - ab + b²) , thus

8[tex]x^{6}[/tex] + 27y³

= (2x²)³ + (3y)³ with a = 2x² and b = 3y

= (2x² + 3y)((2x²)² - 2x²(3y) + (3y)²)

= (2x² + 3y)(4[tex]x^{4}[/tex] - 6x²y + 9y²)

Answer: Edmentum/plato

Step-by-step explanation:

Cristian, iris, and Morgan each get an equal share of 1/2 of a pizza. Which model represents the fraction of the pizza each person gets?

Answers

Answer:

Model B or 1/3 of the Pizza

Answer:

1/3

Step-by-step explanation:

model 1/3

she can make 4 basketballs in 1/2 hours.how many in 5 hours?

Answers

Answer: 40

Step-by-step explanation:

Answer:

40 basketballs in 5 hours

Step-by-step explanation:

If in 1/2 hour she makes 4, multiply it by 2 to know how much she can make in a wholw hour. So she can make 8

Multiply how much she can make every hour by the amount of hours.

8 x 5 = 40

Ghani is going to use these instructions to make a fizzy drink instruction: mix 5 parts of lime juice with 3 parts of lemonade ghani thinks thats he has 300ml of lime juice and 200ml of lemonade if he is correct what is the greatest amount of fizzy drink can he make?

Answers

Answer: 480 ml

The greatest amount of fizzy drink can he make is 480 ml

Step-by-step explanation:

Given;

Mixing ratio = 5 : 3

Volume of lime juice = 300ml

Volume of lemonade = 200ml

From the given ratio;

5 ml of lemon juice needs 3 ml of lemonade to make 8 ml of fizzy drink.

Assuming all the lemon juice were used;

For 300ml of lemon juice,

It'll require 300/5 × 3 ml of lemonade.

Volume of lemonade needed V2= 300/5 × 3 = 180 ml

Volume of fizzy drink = volume of lemon juice + volume of lemonade

Volume of fizzy drink = 300ml + 180ml = 480ml

The greatest amount of fizzy drink can he make is 480 ml

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