Select all sets in which the number - 12 is an element.
A. real numbers
B. whole numbers
C. integers
D. irrational numbers
E. natural numbers
F. rational numbers
Help plz

Answers

Answer 1
3 Answers: A, C, F

real numbers, integers, rational numbers

=========================================================

Explanation:

So far in your studies, every number is a real number. This is assuming your teacher hasn't introduced complex or imaginary numbers yet.

So that's why -12 is a real number.

Choice A is one of the answers

---------------

The set of whole numbers is {0,1,2,3,4,...} so we aren't including negative values here, which rules out choice B. However, the set of integers does include negative values

{..., -3, -2, -1, 0, 1, 2, 3, ...}

That makes -12 an integer

Choice C is one of the answers

----------------

The value -12 is not irrational because we can write it as a fraction of two integers. Eg: -12 = -12/1

This shows that -12 is rational and why choice F is one of the answers and allows us to rule out choice D.

------------------

We can rule out choice E because the set of natural numbers is {1,2,3,4,...} basically the set of whole numbers but we kicked out 0.

Answer 2

The requried, -12  is an element of sets of real numbers, integers, and rational numbers. Options A, C, and F are correct.

What is a number system?

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

What is set?

Sets are an orderly collection of items in mathematics that can be expressed in set-builder or roster form.

Here,

Only sets that consist of negative values are, real numbers, integers, and rational numbers.

So - 12 is a negative number that belongs to the set of real numbers, integers, and rational numbers.

Thus, the requried, -12  is an element of sets of real numbers, integers, and rational numbers. Options A, C, and F are correct.

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Related Questions

Joe receives a cake for his birthday. He eats $\frac{1}{4}$ of the cake on the first day. On the second day, he eats $\frac{3}{4}$ of the amount of cake that is left after the first day. What fraction of a whole cake is left for Joe to eat on the third day

Answers

Answer:

3 / 16

Step-by-step explanation:

Let The total amount = x

Fraction eaten on first day = 1/4x

Fraction left = x - 1/4x = 3/4x

Fraction of amount left eaten on second day = 3/4 of 3/4x

3/4 * 3/4x = 9/16x

Fraction left :

3/4x - 9/16x = (12x - 9x) /16 = 3/16x

Hence, fraction left = 3/16

Explain the relationship of the meaning of the word isometric to the properties of an isometric or rigid transformation

Answers

Step-by-step explanation:

The iso parts of isometric means same, and It is similar becuase rigid trtransformation and the metric parts means measure. Basically isometric means same measure. Rigid transformation preserve "same measures" like angles and side lengths.

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Answers

9514 1404 393

Answer:

  4a. 177

  4b. 248

  5a. 27

  5b. 9

  5c. 12

Step-by-step explanation:

4.

a) x is 3/4 of 1/2 of all, so is 3/8 of all.

  x = 3/8·472

  x = 177

b) x is 2/5 of 2/3 of all, so is 4/15 of all.

  x = 4/15·930

  x = 248

__

5.

Elaine gave her grandmother 3/4 of 48 = (3/4)(48) = 36 of the flowers. Then Elaine had 48 -36 = 12 flowers left.

Her grandmother gave 1/4 of 36 flowers = (1/4)(36) = 9 of the flowers to her neighbor. Elaine's grandmother has 36 -9 = 27 flowers now.

Elaine's grandmother has 27 flowersthe neighbor has 9 flowersElaine has 12 flowers

Please help with question thank you

Answers

Answer:

The answer is 3x=50-10y

this is the answer 3x = 50 - 10y

The width of a rectangle is twice as long as the length. if the length is increased by 50% and the width is decreased by 20%, the perimeter becomes 248. find the width and length of the original rectangle.

Answers

Answer:

Step-by-step explanation:

The percents here make this more tricky than it originally seems to be. We'll make a table and see where it takes us:

                          original                 new

length

width

And we'll fill it in according to our rules given. Starting with the original, we are told that the width is twice as long as the length. We don't know the length, so we'll call that L, and if the width is twice that, the width is 2L:

                           original                  new

length                       L

width                       2L

Now here's the tricky part. What I'm going to do is fill in the "new" column with the expressions and then we'll simplify them in the next step.

The length is increased by 50%. So we have 100% of the original length and we are adding another 50% to that:

                            original                        new

length                      L                       100%L + 50%L

width                       2L

The width is decreased by 20%, so we have 100% of 2L and we are subtracting 20% of 2L from that:

                             original                       new

length                        L                     100%L + 50%L

width                        2L                  100%(2L) - 20%(2L)

And now we'll simplify that "new" column:

                              original                         new

length                        L                         150%L = 1.5L

width                         2L               80%(2L) = 160%L = 1.6L

Now we're ready for the perimeter part. The formula for the perimeter of a rectangle is P = 2L + 2w, so filling in from our "new" column, since 248 is the perimeter given for AFTER the rectangle's length and width are manipulated:

248 = 2(1.5L) + 2(1.6L) and

248 = 3L + 3.2L and

248 = 6.2L so

L = 40 and that means that w = 80 (because in the "original" column, the width is twice the length)

What is the volume of the cylinder below?
A. 196pi units3
B. 784pi units3
C. 98pi units 3
D. 112pi units 3

Answers

Answer:

196π units^3

Step-by-step explanation:

The volume of a cylinder is:

πr^2h

SINCE, there is no given pi, the formula will be:

r^2h

Use the formula on the given dimensions:

r^2h

= (7^2) 4

= (49) 4

= 196

So we could just leave the final answer as:

196π

The real volume will be solved once π is given.

I hope I helped!

The volume of the cylinder given is 196 π, Option  A is correct.

The volume of the cylinder is given by V=πr²h

Where r is radius of cylinder and h is the height of the cylinder.

V is the volume

r=7

h=4

Now plug in these values in volume formula.

V=π(7)².4

=π.49.4

V=196π

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aint the answer for this 10 just let me if im wrong​

Answers

Answer:

Yup

Step-by-step explanation:

(c+d)^2+11(c+d)+30

Factor completely.

Answers

Answer:

firstable give c+b a polynomial value like x

so its will be x^2+11x+30

after the we have to factor it

30=6×5

and 11=6+5

so its will become

(x+6)×(x+5)=x^2+11x+30

x=c+d

(c+d+6)×(c+d+5)=(c+d)^2+11(c+d)+30

have a great day

What is the simplified form of the complex fraction? 2x2+7x+6x2+x−64x2−9x2−5x+6

Answers

Answer:

3x - 124

Step-by-step explanation:

kindly find solutions in the picture above

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The simplified form of the complex expression 2x² + 7x + 6x² + x - 64x² - 9x² - 5x + 6 is

-65x² + 2x + 6

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

2x² + 7x + 6x² + x - 64x² - 9x² - 5x + 6

Combine all like terms.

(2x² + 6x² - 64x² - 9x²) + (7x - 5x) + 6

(8x² - 73x²) + 2x + 6

-65x² + 2x + 6

There are no common factors or like-terms to simplify.

So,

The simplified form is -65x² + 2x + 6

Thus,

The simplified form of the complex expression 2x² + 7x + 6x² + x - 64x² - 9x² - 5x + 6 is

-65x² + 2x + 6

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A hundred chickadees can eat 100 kg of seeds in 100 days. How many kg of seeds can 10 chickadees eat in 10 days?

Answers

Answer:

1 kg

Step-by-step explanation:

Number of chickadees = 100

Quantity of seed eaten = 100 kg

Number of days = 100

Quantity of seeds each chickadee eats per day =Number of chickadees ÷ Quantity of seed eaten ÷ Number of days

= 100 ÷ 100 ÷ 100

= 1 ÷ 100

= 0.01 kg of seed

How many kg of seeds can 10 chickadees eat in 10 days?

= Quantity of seeds each chickadee eats per day × number of chickadee × number of days

= 0.01 kg × 10 × 10

= 1 kg

10 chickadees eat 1 kg of seeds in 10 days

The table below represents the function f, and the following graph represents the function g.
*
-6
un
4
-3
-2.
-1
0
1
f(x) 8
-2
-8 -10
-8
-2
8.
22
у
4
12
6
- 2
2
4
6
2
-4
6
Complete the following statements.
The functions fand g have

Answers

The functions f and g have different axis of symmetry

The y-intercept of f is higher than the y-intercept of g

Over the interval [-6, -3], the average rate of change of f is more rapid than the average rate of change of g

The known value in the question includes the following

The given table of f(x) and x, from which we have;

The point of the minimum value, which is the vertex = (-3, -10)

The axis of symmetry, of a parabola is the vertical line passing through the vertex such that the y-values at equal distance from the line on either side are equal is the line x = -3

The y-intercept, which is the point the graph intercepts with the y-axis or where x = 0 is the point (0. 8)

Over the interval [-6, -3], the average rate of change of f = (-10 - 8)/(-3 -(-6)) = -6

From the graph of g(x), we have;

The axis of symmetry is the line x = -3

The y-intercept = (0, -2)

Over the interval [-6, -3], the average rate of change of g ≈ (6 - (-2))/(-3 -(-6)) = 8/3

Therefore, we have the correct options as follows;

The functions f and g have different axis of symmetry

The y-intercept of f is higher than the y-intercept of g

Over the interval [-6, -3], the average rate of change of f is more rapid than the average rate of change of g

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C=-(251x3+281)+3X251-(1-281)

Answers

Answer:

-1

Step-by-step explanation:

=-251x3+281 +251x3-1+281

=-1

1/x^-2 x=7 yeet yeet

Answers

Answer:

49

Step-by-step explanation:

x = 7

1 / x^-2

= x^2

= 7^2

= 49

Answer: 49

Step-by-step explanation: yeet

help me please to solve this 2 questions pleasee faster.. i will mark you as brainliest​

Answers

Answer:

1. x=72, y=, 108

2.x=30, y=72

Step-by-step explanation:

Brainliest please~

What is the area of this triangle

Answers

Answer:

14

Step-by-step explanation:

7*4*1/2=14

in how many ways can 10 people be divided into three groups of 2, 3, and 5 people respectively

Answers

Answer:

2520 ways

Step-by-step explanation:

Given

[tex]n = 10[/tex]

[tex]r = (2,3,5)[/tex]

Required

The number of selection

First, select 2 people from 10 in 10C2 ways.

There are 8 people, left.

Next, select 3 people from 8 in 8C3 ways.

There are 5 people left.

Lastly, select 5 from 5 in 5C5 ways

So, we have:

[tex]Total = ^{10}C_2 * ^8C_3 * ^5C_5[/tex]

Using combination formula

[tex]Total = 45 * 56 * 1[/tex]

[tex]Total = 2520[/tex]

in how many ways can alice give 12 apples to 3 children

Answers

Answer:

Step-by-step explanation:

give four apples to each child because 12/3 is 4

Answer:

91

Step-by-step explanation:

The height of a baseball in feet can be found by the equation -4.982 – 20t + 1000. How far has the
baseball traveled at t = 6?

Answers

Answer:

875.018

Step-by-step explanation:

To solve this, we must plug in 6 for our t value. So, we have the equation:

-4.982 - 20(6) + 1000

Following the rules of PEMDAS, we have:

-4.982 - 120 + 1000 = 875.018

Express 3.023 in P form where p and q are integers and q= 0 D​

Answers

Given:

The number is 3.023.

To find:

The given number in the form of [tex]\dfrac{p}{q}[/tex], where [tex]q\neq 0[/tex].

Solution:

The given number is 3.023. It can be written as:

[tex]3.023=3.023\times \dfrac{1000}{1000}[/tex]

[tex]3.023=\dfrac{3023}{1000}[/tex]

It cannot be simplified further because 3023 and 1000  have no common factors.

Therefore, the given number 3.023 can be written as [tex]\dfrac{3023}{1000}[/tex].

Find the value of both variables.

Answers

[tex] \cos(45) = \frac{5 \sqrt{2} }{x} \\ \frac{1}{ \sqrt{2} } = \frac{5 \sqrt{2} }{x} \\ x = 10 \\ \\ \tan(45) = \frac{y}{5 \sqrt{2} } \\ 1 = \frac{y}{5 \sqrt{2} } \\ y = 5 \sqrt{2} [/tex]

I hope I helped you ^_^

Find the surface area of this cylinder.
Round to the nearest tenth.

r = 3 cm
3 cm
SA = [ ? ] cm2


PLEASE HELP

Answers

Formula for the surface area of a cylinder: 2 x pi x r^2 + 2 x pi x r x h

Radius (r) = 3

Height (h) = 3

2 x pi x 3^2 + 2 x pi x 3 x 3

2 x pi x 9 + 2 x pi x 9

18pi + 18pi

36pi = 113.1 cm^2

Hope this helps!

The surface area of the cylinder is 113.0973 square centimeter.

What is surface area of a geometric shape ?

The surface area of a solid object is a measure of the total area that the surface of the object occupies. The surface area can only be present in any three dimensional geometric shape.

How to find the surface area of the cylinder ?

The surface area of the cylinder is given by - 2*π*r*h + 2*π*r*r

where r is the radius of the cylinder and h is the height of the cylinder from its base.

In the given problem, r = 3cm and h = 3cm .

⇒ Surface area = 2*π*3*3 + 2*π*3*3 square centimeters.

= 36π = 113.0973 square centimeters.

∴ Surface area = 113.0973 square centimeters.

Thus the surface area of the cylinder is 113.0973 square centimeter.

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A machine with velocity ratio of 5 is used to raise a load with an effort of 500N . If the machine is 80% efficient , determine the magnitude of the load.​

Answers

Answer:

Solutions given:

Velocity ratio V.R =5

effort =500N

efficiency =80%

magnitude of load=?

mechanical advantage [M.A ]

we have

efficiency =M.A/V.R*100%

80=M.A./5*100

80/100*5=M.A

M.A.=4

again

we have

M.A =load/effort

4=load/500

load=500*4

load=2000N

the magnitude of the load is 2000N.

Please help me with this question please and thank you ❤️

Answers

Answer:

x = -1

Step-by-step explanation:

3x - 1/9 (27) = 18

3x - 3

Divide both sides be 3

x = -1

Answer:

x = 7

Step-by-step explanation:

to solve this equation we are given the value of y which 27. just substitute 27 for y in the equation :

3x - 1/9(27) = 18

3x - 3 = 18

3x = 21

x= 7

Two boys together have $12. One of them has $10 more than the other. How much money does each of them have

Answers

One has $1 and the other has $11

Simplify the variable expression by evaluating its numerical part.
p-7+56 - 12
A. p + 51
B. p+37
O c. p-51
D. p + 49

Answers

The answer to this is B. p+37


The marked price of a radio was 40% above the cost price. When it was sold allowing 30% discount on it, there was loss of RS. 100. What was the marked price of the radio.​

Answers

Answer:

7000

Step-by-step explanation:

70/100 * marked price = original price - 100

marked price = 140/100* og price

70/100 * 140/100 * og price = original price - 100

49/50 * og price = orignal price - 100

1/50 of original price = 100

orignal price = 5000

marked price = 140/100 * 5000 = 7000

HELP PLEASE!!! The expected value of a random variable X is 35. The variable is transformed
by multiplying X by 4 and then adding 1 to it. Find the expected value (mean)
of the transformed variable. A. 135 B.117 C. 154 D.141

Answers

Answer:

Expected value x= 35

linear transformation is defined as a + bx

here, b=4, a=1

The transformation is [tex]z=1+4x[/tex]

now, expected value, [tex]l_z=l_z(a+bx)[/tex]

[tex]=l(a)+l(bx)[/tex]

[tex]=a+b\:l\:x[/tex]

substitute the value of a=1, b=4 and l=35

[tex]l_z=1+4\times35[/tex]

[tex]=1+140[/tex]

[tex]=141[/tex]

So, the expected value of the transformed variable is 141.

OAmalOHopeO

Answer:  D) 141

=======================================================

Explanation:

Let's consider a set of three values such that they're all equal to 35

{35,35,35}

This rather boring set has a mean of 35 and it's hopefully very clear why this is the case. The terms "mean" and "expected value" are interchangeable.

If we multiply everything by 4, then we get the new set {140,140,140}

Then add 1 to everything and we arrive at {141,141,141}. You can quickly see that the mean here is 141.

-----------------------------

You could play around with that original set of 3 values to make things more interesting. Let's say we subtract 1 from the first item and add 1 to the last item. So we could have {35,35,35} turn into {34,35,36}. You should find that the mean is still 35 here.

If we quadruple each item, then we have {34,35,36} turn into {136,140,144}

Finally, add 1 to everything to get {137,141,145}. Computing the mean of this set leads to 141.

These are just two examples you could do to help see why the answer is D) 141

-----------------------------

In a more general theoretical sense, we're saying the following

Y = mX+b

E[Y] = E[m*X+b]

E[Y] = E[m*X] + E[b]

E[Y] = m*E[X] + b

where Y is the transformed variable based on the random variable X. In this case, m = 4 and b = 1. Also, E[X] = 35.

So,

E[Y] = m*E[X] + b

E[Y] = 4*35 + 1

E[Y] = 141

-----------------------------

Why go through all this trouble? Well consider that you know a certain distribution is centered around 35. Then consider that you want to convert those measurements to some other unit. This conversion process is us going from variable X to variable Y. Think of it like a batch conversion of sorts.

A more real world example would be something like "we know the average temperature is 35 degrees Celsius. The question is: what is the average temperature in Fahrenheit?" The numbers would be different, but the idea still holds up.

[tex]\text{Solve for 'x':}\\\\3(x+1)=12+4(x-1)[/tex]

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]x = -5[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'x'...}}\\\\3(x+1)=12+4(x-1)\\----------\\\rightarrow 3x + 3 = 12 + 4x - 4\\\\\rightarrow 3x + 3 = 12 -4+4x\\\\\rightarrow 3x + 3 = 8 + 4x\\\\\rightarrow 3x + 3 = 4x + 8\\\\\rightarrow3x + 3 -3 = 4x + 8 - 3\\\\\rightarrow 3x = 4x + 5\\\\\rightarrow 3x - 4x = 4x - 4x + 5\\\\\rightarrow -x = 5\\\\\rightarrow \frac{-x=5}{-1}\\\\\rightarrow \boxed{x = -5}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

x=-5

Step-by-step explanation:

3(x+1)=12+4(x-1)

3(x+1)=8+4x

3x+3=8+4x

3x+3−4x=8

-x+3=8

-x=8-3

-x=5

-x(-1)=5(-1)

-x(-1)=-5

x=-5

write 5 lcms of 100 and 120

Answers

Answer:

The LCM of 100 and 120 is 600.

The LCM of 5 and 120 is 120.

LCM of 5 and 100 is 100.

Step-by-step explanation:

I think this is the answer . If it is not sorry .

ASAP HELP!! PLEASEEEE!!

Answers

Answer:

Step-by-step explanation:

5.1, please this is just a guess from using my head to calculate

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