(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

0
(alef-naught), and the uncountable infinity of the reals is called ℵ1

1
(alef-one).

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

Related Questions

In two or more complete sentences, explain how to use ordered pairs of points in f(x) = 3x - 5 and g(x) = x+5/3 to determine if f(x) and g(x) are inverses of each other

Answers

Answer:

for any point (x, y), that appears in one function, the point (y, x) must appear in the other function. for any point (x, y), that doesn't appear in one function, the point (y, x) must not appear in the other function.  

so if you find any point that doesn't meet the above rules, you can prove that the functions are not inverses of each other.  

to prove that they are inverses of each other, you need to check all points in the functions, and there is an infinity of them, so instead, you can write f(x) like this:  

y = 3x - 5  

solve for x:  

y + 5 = 3x  

x = (y + 5) / 3  

swap x and y:  

y = (x + 5) / 3  

this is the same as g(x) which, therefore the functions are inverse of each other.

Express each of the following decimals as a percentage
0.78
solution for class 7

Answers

Answer:

78%

Step-by-step explanation:

To represent decimals as percentage, multiply by 100

0.78 x 100 = 78%

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

In this example we have: 0.78 × 100 = 78% (answer). ➥ The ease way: 1) Move the decimal point two places to the right: 0.78 → 7.8 → 78.

Step-by-step explanation:

you answer is 78%

Help, I need somebody… HELP!!!!!

Answers

It’s times 3……………………..
They are all getting multiplied by 3
Hope I helped

Draw a rhombus that is not a square. Label the lengths of its sides and its height so it represents a rhombus with an area of 20 square inches.​

Answers

Answer:

          /\

[tex]\sqrt{20}[/tex] /     \[tex]\sqrt{20}[/tex]

     /         \

     \         /

[tex]\sqrt{20}[/tex]  \     / [tex]\sqrt{20}[/tex]

          \/

Step-by-step explanation:

i hope this is right it took me 30 min for the ascii

Please help ASAP!!!!! I would really appreciate it

Answers

Answer:

(-2,-5)

Step-by-step explanation:

Because his house is in the same quadrant as the city park (quadrant 3) the answer's coordinates will have x=a negative number and y= a negative number. So, the answer will be (-2,-5).

Hope this helps!

Express each of the following decimals as a percentage
1.35
solution for class 7

Answers

Answer:

135%

Step-by-step explanation:

To represent a decimal to percentage, multiply by 100

1.35 x 100 = 135

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

the answer would be 135%

a - 6 - 6a = 4

find the value of a

Answers

Answer:

-2

Step-by-step explanation:

a - 6 - 6a = 4

a-6a=10

-5a=10

a=10/-5

a=-2

Answer:

a = -2

Step-by-step explanation:

Add like terms:

a - 6 - 6a = 4

-5a - 6 = 4

Solve for a:

-5a = 10

a = -2

So, a = -2

helppppppppppppppppppppppppppp

Answers

Answer:

I think the answer is a, 15 ft by 10ft

Answer:

15 ft by 10 ft

Step-by-step explanation:

3/4×20=60/4=30/2=15

1/2×20=20/2=10

please give branliest...please

Club members wrote a program together, with several people working on each of 4 parts. If the first part of the program required 1/3 of the total time, the second part needed 1/2 of the remaining time, the third part took 30 minutes, and the fourth part took 60 minutes, how many hours did the program take to write?

Answers

Answer:

Step-by-step explanation:

4 parts: 1/3 + 1/2 + 30min + 60min

1/3 of an hour is = 20 minutes

1/2 of an hour is 30 minutes

20 + 30 + 30 + 60(1h)= 140 minutes = 2 hours and 20 minutes

The total time did the program take to write is  2 hours and 20 minutes.

It is required to find total time.

What is arithmetic?

The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.

Given that:

several people working on each of 4 parts.

First part = 1/3 of the total time,

The second part = 1/2 of the remaining time,

The third part =30 minutes,

Fourth part= 60 minutes,

So, the total time in hour.

4 parts:

1/3 of an hour is = 20 minutes

1/2 of an hour is 30 minutes

Total time=1/3 + 1/2 + 30min + 60min

=20 + 30 + 30 + 60(1h)

= 140 minutes

= 2 hours and 20 minutes.

So, the total time did the program take to write is  2 hours and 20 minutes.

Learn more about arithmetic here:

https://brainly.com/question/24337087

#SPJ2

3. Solve for m:
-5m + 3 - 2m = -7m + 4 + m

A. M=1/2
B. M=-1/2
C. M=-1
D. M= 1

Answers

Answer:

c

Step-by-step explanation:

-7m+3=-7m+m+4

m=3-4

m=-1

-5m+3-2m=-7m+4+m
-5m-2m+7m-m=4-3
-1m=1
m= -1

Mr. Jacobs is going to make a histogram of the test scores from the last math test he gave. He plans to first organize the data into a stem-and-leaf plot and then make the histogram from the stem-and-leaf plot. The test scores are listed below.

79, 82, 65, 61, 94, 97, 84, 77, 89, 91, 90, 83, 99, 71, 68, 77, 87, 85

How many bars will his histogram have?

3
4
5
6

Answers

I think the answer to this question is 4
I would say the answer is 4

PLEASE HELP ME WITH THIS DS-9JF-9EJFWEF

Answers

The person above had the right answer, I checked
It’s the second choice :)

PLEASE HELP ME ITS EITHER PASS OR FAIL I RLLY NEED HELP ITS MY LAST ONE

Answers

Answer:

7

Step-by-step explanation:

You would do 42/6 which is 7 (this is the answer for part b)

The answer is 7 I can’t explain it tho

A map is drawn to a scale of 1 : 20 000.

The actual area of the grassland is 2.5 hectares. Calculate the area on the map, giving your answer in square centimetres. ( 1 hectare = 10 000 m² )

pls help thank you:>​

Answers

Answer:

0.625 cm²

Step-by-step explanation:

Scale factor:

k = 1/20000

When applied to the area consider k² as a scale factor.

The actual area:

2.5 hectares = 25000 m² = 25000*100² cm² = 250000000 cm²

The area on the map:

250000000 * (1/20000)² = 0.625 cm²

Which expression is equivalent to 4. 8 + 2. 2w - 1. 4w + 2. 4 ?

Answers

Hope this photo helps

B.0.8(9+w)
I hope this helps

solve |x-3|=7 plz help asap I will mark brainliest

Answers

Answer:

x=10  or x=-4

Step-by-step explanation:

|x-3|=7

There are two solutions, one positive and one negative

x-3 = 7   and x-3 = -7

Add 3 to all sides

x-3+3 = 7+3           x-3+3 = -7+3

x = 10                    x = -4

Well, if we are taking the absolute value, of |x - 3| = 7, then you have a total of two cases. 7 can be either positive or negitive.

Knowing this, we can write out our two cases as:

|x - 3| = 7, or

|x - 3| = -7

Using these two equations, we can solve the equations for our values of x:

First Case:

|x - 3| = 7

x - 3 = 7

x = 10

Second Case:

|x - 3| = -7

x - 3 = -7

x = -4

So, our two cases show us that x can equal -4, or 10.

Determine whether each sequence is a geometric sequence. If yes, then state the common ratio.
1, -4, 16, -64, ...

Answers

Answer:

This is a geometric sequence with a common ratio of -4

Step-by-step explanation:

Take the second term and divide by the first term

-4/1 = -4

Take the third term and divide by the second term

16/-4 = -4

Take the fourth term and divide by the third

-64/16 = -4

This is a geometric sequence with a common ratio of -4

-4 is multiplied each time

1x-4= -4
-4x-4= 16
16x-4= -64

PLEASE HELP MEEEEeeee

Answers

Answer:

D. 2^7

Step-by-step explanation:

2^3 x 2^4 would equal 128. So, if you do the math for all of them:

A isn't correct because it equals 16.

B isn't correct because it equals 4096.

C isn't correct because it equals 16384.

D is correct because 2^7 is 128.

Hope this helped!

The answer with be D

Help!!
I need help with my math!!

Answers

Answer:

5

Step-by-step explanation:

12 - 7 = 5

S O L U T I O N :

Using Pythagoras Theorem

Hyp² = Adjacent² + Opp²

13² = d² = 12²

d² = 13² - 12²

d² = 169 - 144

d² = 25

d = √25

d = 5

The correct answer is 5, OPTION C IS CORRECT

Currently, Jacob’s mother is three more than nine times as old as Jacob. In eleven years, his mother will be five more than three times his age. Write a system of linear equations that models this situation. Let j represent Jacob's age, and let m represent his mother's age.
Write an equation that relates Jacob and his mother's current ages. Solve the system of equations.
What are their ages?

Answers

Answer:

Jacob is 4 years old and his mother is 40 years old.

Step-by-step explanation:

Part 1: The linear equations are  and

Part 2: Solving the equations, we have,  and

Part 3: Jacob is 4 years old and his mother is 40 years old.

Explanation:

Part 1: Let j represent Jacob's age, and let m represent his mother's age.

It is given that, "Jacob's mother is three more than nine times as old as Jacob". Writing it as linear equation, we have,

It is also given that, "In eleven years, his mother will be five more than three times his age". Writing it as linear equation, we have,

Simplifying this, we get,

Thus, the linear equation is

The linear equations are   and

Part 2: Solving the linear equation, we get,

Substituting  in

Simplifying, we get,

Hence,

Substituting  in

Solving the equations, we have,  and

Part 3: Since, j represents jacob and m represents the jacob's mother

Thus, Jacob is 4 years old and his mother is 40 years old.

Jacob - 4 years old
The Mother - 40 years old

Please help me I need it ASAP! Thank you!

Answers

If the number of cups of cereal is 30, then the number of cups of rasins will be 10

This is because there was a repeating pattern of Times three
For how many raisins there are there will be three times as much cereal
Therefore on the graph when the cereal (axis x) is at 30, The raisin (y axis) should be 10
The first option is most reasonable

Express each of these percentages as a fraction
158%
solution for class 7

Answers

Answer: 158% = [tex]\frac{158}{100}[/tex] = [tex]\frac{79}{50}[/tex]

Hope it helps :)

79/50!!!!!!!!!!
!! 79/50!!!!!!!!!!
!!

What is equivalent to the expression 5x - 4 - 9x +7

A. 4x + 3
B. -4x - 3
C. -4x + 3
D. -x
E. x

Answers

5x - 4 -9x + 7
simplify
5x - 9x = -4x

-4 + 7 = 3

Answer: -4x - 3
The answer is c.

5x-9x=-4x
-4+7=3
There for the answer would be -4x+3

So say selling a backpack thats used-like new and the original price is $54.00 how much should I set the price at??

Answers

it most be eleven hundred

If it’s used and you’re selling it then probably like 25-35 dollars

Step by step on how to do this plz

Answers

The answer is 512!!!!!!

A manufacturer determines that the cost of making a computer component is ​$4.171717 Write the repeating decimal cost as a fraction and as a mixed number.

Answers

Let 14.17 be x

14.171717 = x

Multiplying both sides by 100

1417.17 = 100x

1403 + 14.17 = 100x

Since 14.17 = x, replacing it with x

1403 + x = 100x

1403 = 100x - x = 99x

1403 / 99 = x

x = 467 2/3 ( a mixed fraction) OR 1403 / 99
Good luck! , I hope you get it right!

What evidence supports a conservation law?

Carbon dioxide becomes glucose and oxygen during photosynthesis.
Hydrogen is made from the breakdown of carbon dioxide during photosynthesis.
Chlorophyll converts sunlight to chemical energy during photosynthesis.
Glucose and oxygen become carbon dioxide and water during photosynthesis.

Answers

Answer:

Chlorophyll converts sunlight to chemical energy during photosynthesis.

Step-by-step explanation:

Three forms of energy come into play in the functioning of an ecosystem:

* the electromagnetic radiation of short-wavelength  (light),

* the electromagnetic radiation of long-wavelength  (infrared: heat),

* chemical energy (in the form of organic molecules: sugars, etc.).

The conversion of light energy into chemical energy takes place in  plants: it's photosynthesis.

Answer:

Carbon dioxide react with water and becomes glucose and oxygen during photosynthesis.

Step-by-step explanation:

6CO2 + 6H2O → C6H12O6 + 6O2. This means that the reactants, six carbon dioxide molecules and six water molecules, form glucose and oxygen.( during photosynthesis carbon dioxide and H2O in presence of sunlight and chlorophyll form glucose and oxygen)

Valeria bought a 9-foot length of ribbon from which she wants to cut 3-foot pieces. How many pieces can she cut? What will be the length of the leftover piece of ribbon?
help plz​

Answers

Answer:

She can cut 3 pieces of ribbon.

None will be left over.

She will have 3 pieces and no left over ribbon

9/3 = 3 with no remainder/leftover

one-half of the people at a game wore hats. two-thirds of those people also wore gloves. one-fourth of those people wearing gloves and hats also wore scarves. 25 of the people had hats and scarves but no gloves. One hundred people had only scarves. If there were 1824 people, how many had scarves
Please give answer as soon as possible

Answers

Final Answer: 277 people had scarves.

Step-by-step explanation:

1/2 people wore hats2/3 people wore also wore gloves.1/4 people wore scarves.25 people had hats and scarves. (no gloves)100 people have only scarves.1824 people total

1824 / 2 =  912 (Divide by 2 to get the people wearing hats)

912 / 3 = 304 (subtract 304 to get 2/3)

912-304 = 608

608/4 = 152. (people who wore gloves, hats, and scarves.)

152+100+25= 277

Answer:

1111

Step-by-step explanation:

1111223

Functions, f and g are given by f(x)= 3+ cos x and g(x) = 2x, x is a real number. Determine the value of c for which f(g(x))= g(f(x)) where 0 [tex]\leq[/tex]x<2[tex]\pi[/tex]

Answers

Answer:

2 is my answer

Step-by-step explanation:

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