(Name all sets to which each value belongs. Rational, irrational, whole or natural.

Answers

Answer 1

Answer:

Step-by-step explanation:

The natural numbers, whole numbers, and integers are all subsets of rational numbers. In other words, an irrational number is a number that can not be written as one integer over another.

Moderators i have not copied this ans

Answer 2

Real number is the set of all numbers, including all rational and irrational numbers. Any number that we can think of, except complex numbers, is a real number. Explanation: The set of real numbers, which is denoted by R, is the union of the set of rational numbers (Q) and the set of irrational numbers (Q').

..? ⬇️

The natural (or counting) numbers are 1,2,3,4,5,
1
,
2
,
3
,
4
,
5
,
etc. There are infinitely many natural numbers. The set of natural numbers, {1,2,3,4,5,...}
{
1
,
2
,
3
,
4
,
5
,
...
}
, is sometimes written N
N
for short.

The whole numbers are the natural numbers together with 0
0
.

(Note: a few textbooks disagree and say the natural numbers include 0
0
.)

The sum of any two natural numbers is also a natural number (for example, 4+2000=2004
4
+
2000
=
2004
), and the product of any two natural numbers is a natural number (4×2000=8000
4
×
2000
=
8000
). This is not true for subtraction and division, though.

The rational numbers are those numbers which can be expressed as a ratio between two integers. For example, the fractions 13
1
3
and −11118
−
1111
8
are both rational numbers. All the integers are included in the rational numbers, since any integer z
z
can be written as the ratio z1
z
1
.

All decimals which terminate are rational numbers (since 8.27
8.27
can be written as 827100
827
100
.) Decimals which have a repeating pattern after some point are also rationals: for example,

0.0833333....=112
0.0833333....
=
1
12
.

The set of rational numbers is closed under all four basic operations, that is, given any two rational numbers, their sum, difference, product, and quotient is also a rational number (as long as we don't divide by 0
0
).

An irrational number is a number that cannot be written as a ratio (or fraction). In decimal form, it never ends or repeats. The ancient Greeks discovered that not all numbers are rational; there are equations that cannot be solved using ratios of integers.

The first such equation to be studied was 2=x2
2
=
x
2
. What number times itself equals 2
2
?

2‾√
2
is about 1.414
1.414
, because 1.4142=1.999396
1.414
2
=
1.999396
, which is close to 2
2
. But you'll never hit exactly by squaring a fraction (or terminating decimal). The square root of 2
2
is an irrational number, meaning its decimal equivalent goes on forever, with no repeating pattern:

2‾√=1.41421356237309...
2
=
1.41421356237309...

Other famous irrational numbers are the golden ratio, a number with great importance to biology:

1+5√2=1.61803398874989...
1
+
5
2
=
1.61803398874989...

π
π
(pi), the ratio of the circumference of a circle to its diameter:

π=3.14159265358979...
π
=
3.14159265358979...

and e
e
, the most important number in calculus:

e=2.71828182845904...
e
=
2.71828182845904...

Irrational numbers can be further subdivided into algebraic numbers, which are the solutions of some polynomial equation (like 2‾√
2
and the golden ratio), and transcendental numbers, which are not the solutions of any polynomial equation. π
π
and e
e
are both transcendental.

The real numbers is the set of numbers containing all of the rational numbers and all of the irrational numbers. The real numbers are “all the numbers” on the number line. There are infinitely many real numbers just as there are infinitely many numbers in each of the other sets of numbers. But, it can be proved that the infinity of the real numbers is a bigger infinity.

The "smaller", or countable infinity of the integers and rationals is sometimes called ℵ0
ℵ
0
(alef-naught), and the uncountable infinity of the reals is called ℵ1
ℵ
1
(alef-one).

There are even "bigger" infinities, but you should take a set theory class for that!

Related Questions

The animal shelter needs to split 6 1/2 pounds of dog food equally among the 13 dogs in the facility. How much dog food will each dog receive?

Answers

Answer:

1/2 pound for each dog.

Step-by-step explanation:

Don't get confused. There are only 2 numbers which will give 2 different answers: 2 and 1/2. Which one is correct?

You want the units to be pounds per dog or pounds/ number of dogs.

The numerator is 6.5

The denominator is dogs (13)

Food per dog = 6.5 / 13 = 1/2

1/2 for each doggo 2021

Meg plotted the graph below to show the relationship between the temperature of her city and the number of people at a swimming pool:

Part A: In your own words, describe the relationship between the temperature of the city and the number of people at the swimming pool. (5 points)

Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate slope and y-intercept. (5 points)

Answers

Answer:

Generally, the higher the temperature, the larger the population.

Step-by-step explanation:

The line goes from left to right, and from down to up, so we can see that the temperature affects the population at the pool.

the higher temperature the higher the population would be

Fill in the blanks to complete the steps and solve the equation in the image attached.

Answers

S is being divided.

What is the opposite of subtracting 5?

Move 5 to the right side.

It is being divided by 6. What is the inverse of dividing by 6.

Multiply each side by 6.

Hope this helps!! :)

Sorry for the bother help plz

Answers

Answer:

216 a^6

Step-by-step explanation:

(6a^2)^3

We know (xy)^z = x^z * y^z

6^3 * a^2^3

216 a^2^3

We know x^y^z = x^(y*z)

216 a^(2*3)

216 a^6

I need help with these questions from 11 to 20. I already did questions 1 through 10 with my math teacher but I'm not in school so please please please answer all of these answers it would mean a lot to me and would help me a lot with the math homework I need to get done, so yeah. Please help.

Answers

Hope this helps :D

11 is 6 and 3
12 is coefficient
13 is variable
14 is 82b and 3u^2 and 7 and 41h and 54
15 is 9r and 2g
16 is exponent
17 is constant
18 is 21 and 8 and 3
19 is r and g and n
20 is a term

13 answer is
The number and element

write an equation that equals 6 that isnt basic addition, subtraction, multiplcation, or division

Answers

Answer:

(3² - 3) + (0x 2)

Step-by-step explanation

(3^2 - 3) would be one answer

Please check the image below for more info on the question

Answers

Answer:

The answer is A

Step-by-step explanation:

(I'm not 100% sure though, hope this helps.)

The answer is A and and t=5 please give me brainliest

What is the coefficient of the j term in the polynomial negative 8j^ 2 + 7j - 6?

Answers

Answer:

7 is the coefficient

A coefficient is a number before a variable.

For example, in 7j, 7 is the coefficient:)

Step-by-step explanation:

7 is the coefficient of the j term

Please help I suck at math

Answers

Answer: 12

Step-by-step explanation:

Find the difference between the first and second points.

Since the x-coordinates are the ones changing, find the difference between them.

2 - (-3)

= 5

Then find the distance between the second and the third points.

Here, the y coordinates are the only ones changing, so we subtract them/or find the distance between them.

2-(-5)

Now add the distances (5+7) and you get 12.

hope this helps!!:)

Dfbhjuyy grad by Saab

1/3(3x-6)=2x please help

Answers

Answer:

-2

Step-by-step explanation:

In the picture

Answer:

x = -2

Step-by-step explanation:

1/3(3x - 6) = 2x

3x - 6 / 3 = 2x

9x - 6 = 6x

3x = -6

x = -2

Please help me! There is graph an I out them as pictures!

Answers

First one:
A: (1 , 2)
B: (-0.5 , 1)
C: ( 0.5 , 1)
Second one:
A: (-1, 2)
B: (0.5, 1)
C: (0.5 , -1)

first graph
a: (1, 2)
b: (-0.5, 1)
c: (0.5, 1)

second graph
a: (-1, 2)
b: (0.5, 1)
c: (0.5, -1)

Please help thx and will mark as brainliest if you do it correct!

Answers

. A quadratic equation is graphed above.
Which of the following equations could be
paired with the graphed equation to create
a system of equations whose solution set is
comprised of the points (2,-2) and (-3, 3)?

Here ya go! :D (red is -5 slope with 4 y-intercept and black is the other one)

Plsss help I will give brainliest!!!!

Answers

Answer:

ans is 4 I am dam sure please like me ,

Answer:

I think 4 is the answer

have a great day

God bless you

Always be happy

Never be sad

Sad is bad you

Know that

please brainlist

Mrslenbox

Graph the line that represents a proportional relationship between ddd and ttt with the property that an increase of 3 units in ttt corresponds to an increase of 8 units in ddd.
What is the unit rate of change of ddd with respect to ttt? (That is, a change of 1 unit in t will correspond to a change of how many units in d?)

Answers

The unit rate of change of d with respect to t is 8/3

How to graph the line?

The statement is given as:

increase of 3 units in t corresponds to an increase of 8 units in d.

This can be represented using the following ratio

t : d = 3 : 8

Express as fraction

t/d = 3/8

See attachment for the graph of t/d = 3/8

The unit rate

In (a), we have:

t/d = 3/8

Inverse both sides

d/t = 8/3

This means that:

Slope or Rate = 8/3

Hence, the unit rate of change of d with respect to t is 8/3

Read more about linear functions at:

https://brainly.com/question/4025726

#SPJ1

Rule for subtracting Integers: Keep, Change, Opposite.
Show the changes for subtracting integers:

1. 3 - 7
2. -4 -2
3. -4 - (-6)
4. x - 3x
5. 3 - 4x
6. -3 - (-2x)

Answers

Answer:

-4 -6 2 -2x 3-4x 2x-3

Step-by-step explanation:

3 - 7= -4 (7 is larger so we get - sign)

-4-2=-6(we add "-" terms but they have the - sign)

-4-(-6)=-4+6=2(- multiplied by - =+ meaning - - = +)

x-3x=-2x(3x is larger)

3-4x=3-4x(Unlike Terms)

-3 - (-2x)=-3+2x=2x-3(Unlike terms, so we only simplify the signs)

-4, -6, 2, -2x,

that’s all i know sorry

So sorry I really need help

Answers

Answer:

(2 x 2 x 2) x (0.03125)

Step-by-step explanation:

The answer to it is 1 over 4

The distance from the Sun to Earth is about 1.5 × 10^11 meters. Suppose light travels at a speed of 3 × 10^8 meters per second. About how long does it take light from the Sun to reach Earth?

PLZ ANSWER ACCURATELY AND QUICKLY WILL MARK BRALINLIEST

Answers

Answer:

Si se tiene en cuenta que la velocidad de la luz en el vacío es de 299.792 km/s. La distancia existente entre el 'astro rey' y la Tierra es de unos 149,6 millones de kilómetros, una pequeña operación matemática indica que la luz del Sol tarda aproximadamente 8 minutos y 19 segundos en llegar a nuestro planeta.

Step-by-step explanation:

It takes light from the Sun about 500 seconds, or 8 minutes and 20 seconds, to reach Earth.

What is speed?

Speed is the ratio of the given distance and time.

It shows how fast an object is moving at a given time.

The formula is Distance / Time.

We can find the distance or time when the required values are given using this formula.

We have,

To find the time it takes for light to travel from the Sun to Earth,

We can use the formula:

Time = distance/speed

where distance is the distance from the Sun to Earth and speed is the speed of light.

Plugging in the given values.

Time = (1.5 × 10^11 meters) / (3 × 10^8 meters per second)

Simplifying.

time = 500 seconds

Therefore,

It takes light from the Sun about 500 seconds, or 8 minutes and 20 seconds, to reach Earth.

Learn more about speed here:

https://brainly.com/question/7359669

#SPJ2

A DVD is on sale for $1.05 off. This is a 15% discount from the original price. Use an equation to find the original price. A. $16.05, B. $15.75, C. $10.50, D. $7.00

Answers

He got summer school

D $7
0.15x=1.05

$16.05 • 0.15=2.4075
$15.75 • 0.15 =2.3625
$10.50 • 0.15 = 1.575
$7.00 • 0.15 = 1.05

Which of the graphs shows the solution to the inequality?

p < –2

Answers

Answer:

Graph C

Step-by-step explanation:

Graph c shows the solution to the inequality

can anyone answer this

Answers

Answer:

Step 3: 40 + 12 + (18 + 27) = 40 + 12 + 18 + 27

Step 4: 97 (its the answer)

Step-by-step explanation:

Step 3: 40 + 12 + (18 + 27) = 40 + 12 + 18 + 27 = 97

Step 4: 97

Step 3: 40+12+(18+27)= 40+12+18+27
Step 4:97

Picture below maths :

Answers

Step-by-step explanation:

f(g(x))= f(2x)

f(g(x))=3+cos2x

g(f(x))=g(3+cosx)

g(f(x))=2(3+cosx)

g(f(x))=6+2cosx

where,

f(g(x))=g(f(x))

3+cos2x=6+2cosx

2cosx-cos2x+6-3=0

2cosx-cos2x+3=0

x=2pi n1+pi

n1€ z

There is a blueprint for a house that is a scale drawing for the entire house. One part of the house has a triangular base. The drawing of the width of the triangle is 4cm and the length is 6cm. If the width of

Answers

what’s the width? i think the question was cut off

If In a = 2, In b = 3, and Inc = 5, evaluate the following:
(a) In
(b) In V63c4a-2
(c)
In(a+b-3)
In(be)"
3
(d)

Answers

here you are!!!!!!!!!!!!!!

Answer:

-20/343

Step-by-step explanation:

30 POINTS PLS HELP
Solve for x: −7 < x − 1 < 8

A. 6 < x < 9
B. −6 > x > 9
C. 6 > x > −9
D. −6 < x < 9

Answers

The answer is D have a good day

The answer to this question is D

6^14 y^8/6^9 y^3 = ???

Answers

Answer:

Step-by-step explanation:

Es cero

Answer:

I think its 7776v^11

Step-by-step explanation:

Help me Guess just help please

Answers

Answer:

is it direct or step by step?

The correct answer is 26.

Help!!

What is equivalent to the expression -2x(-4 + x)

A. 8x - 4x
B. -8x + 4x²
C. -8x + 2x²
D. 8x + 2x²
E. 8x - 2x²

Answers

The answer would be 8x+-2x^2 which is E. Because you multiply -2x and -4 which cancels out to become a positive 8x, then multiply -2x and x and you would get -2x squared.

the answer for this question is e

What is the slope of the graph of y = -3x?

-1/3
1/3
-3
3

Answers

Answer:

Slope is -3

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Identify

y = -3x

↓ Compare to y = mx + b

Slope m = -3

y-intercept b = 0

your answer would be -3 because it is the number next to x

Please help me on this question.

Answers

Answer:

[tex]f(1)=-48(-\frac{1}{4} )[/tex]

[tex]= 12[/tex]

[tex]f(n)=f(n-1)\:. (-\frac{1}{4} )[/tex]

OAmalOHopeO

The person above has the right answer I checked

solve the following problem as a percent equation: 36 is 80% of what number?

Answers

Answer:

Step-by-step explanation:

80%= 4/5

36 = 4/5 * ?

Take 4/5 on the other side and flip it

36 * 5/4 = ?

45=?

36 is 80 percent of 45

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