How many functions are there from a set with 4 elements to a set with 3 elements?

Answers

Answer 1

The total number of functions from a set with 4 elements to a set with 3 elements is 333 × 3 = 64.

There are a total of 4³ = 64 functions from a set with 4 elements to a set with 3 elements.

A function from a set A to a set B is a rule or a correspondence that assigns to each element of A exactly one element of B. Set A is called the domain of the function and set B is called the co-domain.

Since there are 4 elements in the domain and 3 elements in the co-domain, each element in the domain can be mapped to any of the 3 elements in the co-domain.

So for the first element in the domain, there are 3 options to map it to in the co-domain. Similarly, for the second element, there are 3 options, and so on.

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Related Questions

Jennifer is four less than three times Toby's age. If Jennifer is 23, then how old is Toby? equation: solution:​

Answers

Answer:

T = Toby

T=(23+4)/3

Step-by-step explanation:

If Jennifer’s age is 4 less than 3 times Toby’s age then Jennifer’s age by three,

T=(23+4)/3

and 3 times that, so we divide

T=(23+4)/3

Then Toby is 9 years of age, and shouldn’t be driving.

Toby is 9 years old. Here’s how:

There are 6 bananas in a bunch and 4 monkeys want to share them
evenly. How many bananas does each monkey get? *

Answers

Answer:

1.5 banana each

Step-by-step explanation:

0.92 repeating as a fraction
(0.9222222222222222222........)

Answers

Answer:

0.9222222222222222/1

Step-by-step explanation:

Hello! It would help a lot if I had assistance with this question:

Answers

Answer:

numerator

Step-by-step explanation:

Answer:

Numerator

Step-by-step explanation:

Numerator is at the top while on the bottom is the denominator.

HURRYYYY FASTTT

There are 16 fluid Ounces of juice in 2 bottles of your favorite juice. How many fluid Ounces are there in 10 bottles?
80 fluid Ounces
72 fluid Ounces
160 fluid Ounces
96 fluid Ounces

Answers

Answer:

80 fluid ounces

Step-by-step explanation:

16*5=80

Answer:

80 fluid Ounces

Step-by-step explanation:

I majored in Mathematics

Martina bought 4 CDs that were each the same price. Including sales tax, she paid a total of $70.40 . Each CD had a tax of $ 1.10 . What was the price of each CD before tax?

Answers

[tex]1.10 \times 4 = 4.40[/tex]

[tex]70.40 - 4.40 = 66[/tex]

[tex]66 \div 4 = 16.5[/tex]

Each CD was $16.50 before tax

Proof

[tex]total \: cost = 16.5(4) + 1.10(4)[/tex]

[tex]total \: cost = 66 + 4.40[/tex]

[tex]total \: cost = 70.40[/tex]

Pls help this is due in 10 mins

Answers

Answer:

8) 92.31

9) 9

10) 60%

11)  70

12)  8%

13) By using the formula given. multiplying by 100 and dividing or dividing and then multipling.

A steel bridge is 1000m lang at 20 degrees celsius. The bridge will expand or contract by .10m when the temperature changes by 1 degree celsius. How long would the bridge be at 24 degrees celsius? *

Answers

Answer:

1000.4m

Step-by-step explanation:

Objects usually expand when the temperature is warmer

Each degree celsius higher, the bridge expands by .10m

If the temperature goes from 20 to 24, it increases by 4 degrees which will be 0.4m

1000m+0.4m=1000.4m

Line AB is definited by the equation ax+by=c where a=0, b=1, and c=-2 graph line AB

Answers

Answer:

graph shown below

Step-by-step explanation:

ax + by = c where a = 0, b = 1, and c = -2 would be 0x + 1y = -2 or y = -2.

On a graph, this would look like:

Can someone please help me with this ASAP

Answers

Answer:

24.84

Step-by-step explanation:

Hopefully this helps! let me know if it doesn't

What is the slope and y intercept of Sarah’s Heavenly Cupcakes?? Will give brainly !!!!

Answers

Answer:

y=1.50x

Step-by-step explanation:

Answer:

what the other person said

Step-by-step explanation:

BCDE is a rhombus. Find the missing measures.

BC = 28 and BD = 32

CD =

FD =

EF =

EC =


Answers

Answer: CD=28

FD= 16

Step-by-step explanation:

Someone plz help me I will give brainliest

Answers

Answer:

2. 3/4 x 5/9 = 3x5/4x9 = 15/36 = 5/12

4. 4/7 x 1/2 = 4x1/7x2 = 4/14 = 2/7

6. 4/9 x 2/3 = 4x2/9x3=8/27

Step-by-step explanation:

Hope it helps!

Answer:

Hey again

2.-  *in order* 3, 9, 15/36, 5/12

4.- *rewrite it in the same order it was in* so, 4/7 x 1/2= 5/14 simplified to=haha jk thats as simplified as it gets/ its 5/14

6.- *rewrite it as is* 4/9 x 2/3 =8/27

Step-by-step explanation:

15/36 simplified *wich you are required to have simplified* is 5/12

Consider points a, b, and c in the graph. Determine which of these points is relative minima on the interval x = –1 and x = –2 in the graph.

Options:

1.)B

2.)A and B

3.)C

4.)A

Answers

Answer:

as we can see here point {\color{Red}a} lies on the interval (-2, -1)

so option A is correct

Step-by-step explanation:

The required minima on the graph in the interval x = -1 and x = -2 is A. Option 4) is correct.

Given that,
A Curve is shown on the graph,
In the interval of x = -1 and x = -2, relative minima is to be determined.

What is a graph?

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.


Since,
A minimum of the curve it that point where the slope of the curve is zero and at that point where the slope is zero the neighboring values must be greater to the point on the curve.

So point a is required minima where the slope is zero and also neighboring values are greater than a

Thus, the required minima on the graph in the interval x = -1 and x = -2 is A. Option 4) is correct.

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Solve the inequality x+6<7. Then graph the solutions.
What are the​ solutions? Select the correct choice below and fill in the answer box to complete your choice.
A.
xgreater than or equals
B.
xgreater than
C.
xless than
D.
xless than or equals

Answers

I’m not exactly sure but i think it might be x less than. When i solved the inequality i got x < 1

Solve for x to the nearest tenth.

please help i’m failing

Answers

Answer:

x≈ 8.3

Step-by-step explanation:

ok first you have to find the hypotenuse of the smaller triangle

a²+b²=c²

2²+4²=c²

4+16=20

√20≈ 4.5

4.5²+7²=c²

20.25+49≈ 69.25

√69.25≈ 8.3

Answer:

x = [tex]\sqrt{69}[/tex]

Step-by-step explanation:

Pythagorean theorem: A^2 + B^2 = C^2

first, find the length of the line cutting through the shape:

let's call this line L.

plug the numbers into the theorem.

4^2 + 2^2 = L^2

16 + 4 = L^2

20 = L^2

next, plug 7 and L into the theorem again to find x

L^2 + 7^2 = x^2

20 + 49 = x^2

69 = x ^2

x = [tex]\sqrt{69}[/tex]

help will give brainliest

Answers

Answer:

y = 4

Step-by-step explanation:

KM / 10 = KO / 16

(4y - 1) / 10 = 6y / 16

KO = 4y-1 + 2y+1 = 6y

cross-multiply:

60y = 64y - 16

-4y = -16

y = 4

Uptown towing company charges $60 to tow a car plus $25 per day for vehicle storage. Downtown Towing company charges $75 for towing plus $20 per day for vehicle storage. Write the two equations for the companies

Answers

Answer:

Uptown towing company: 60 + 25d

Downtown towing company: 75 + 20d

Step-by-step explanation:

Uptown towing company: 60 + 25d

Downtown towing company: 75 + 20d

Where d = number of days

60 + 25d

75 + 20d

Equate both equations

60 + 25d = 75 + 20d

60 - 75 = 20d - 25d

-15 = -5d

d = -15/-5

d = 3


Helpppp I’m marking brainliest

Answers

Answer:

y=x+6

tell me if its right

Answer:  y = x + 6

Step-by-step explanation:

What is the coefficient of 8b+3.2

Answers

Answer:

8

it's the prefix to the variable

Step-by-step explanation:

Answer:

Step-by-step explanation:

8

x^2y+y^2-30x+221=0 find the radius ​

Answers

Answer:

2

Step-by-step explanation

Let's complete the square. We get:

(x^2-30x)+y^2+221=0

(x^2-30x+225)+y^2+221-225=0

(x-15)^2+y^2-4=0

(x-15)^2+y^2=4

By analyzing this, we see that the radius is just :[tex]\sqrt{4}[/tex]=2

find the slope of the line y = 4/3x - 2/3

Answers

Answer:

4/3

Step-by-step explanation:

Line equations are of the format:

y = m*x + b

((m is slope; b is y-intercept))

So this line has a slope of 4/3 and a y-intercept of -2/3.

Help me out?!?! tysmmmm

Answers

Answer:

1 is isoscele

2 is scalene

3 is equalateral

4 is scalene

Find the constant of proportionality that creates a direct proportion between x and y,
Constant of Proportionality

Answers

Answer:

y=x

Step-by-step explanation:

Something that would create a direct proportionality is y=x because both of them are in an equation which means they are directly proportional

Lana and Andrew gather data by surveying their classmates. Lana asked them about the longest time they had ever run. Andrew asked them about their favorite color.


How could Lana and Andrew represent their data?


Would they represent them in the same way?


Why or why not?

Answers

Answer:

No because Andrew aske them being different to Lana an far over.

I NEED HELP ASAP!!!!!!!!

Answers

Answer: b

Step-by-step explanation:

find the equation of a line passing through the point(-3,0) and (2,-3)​

Answers

Answer (assuming the question allows it to be written in slope-intercept form):

[tex]y = -\frac{3}{5} x-\frac{9}{5}[/tex]

Step-by-step explanation:

1) First, find the slope of the equation. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex], substitute the given points' x and y values, and simplify:

[tex]m = \frac{(-3)-(0)}{(2)-(-3)} \\m =\frac{-3-0}{2+3}\\m = -\frac{3}{5}[/tex]

Thus, the slope is [tex]-\frac{3}{5}[/tex].

2) Now, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] and substitute real values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].

Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{3}{5}[/tex] in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line crosses, use the x and y values of any one of the given points to substitute into the formula. (Either one is fine. I chose (2,-3).) Then, isolate y to put it into slope-intercept form and find the answer:

[tex]y-(-3) = -\frac{3}{5} (x-(2))\\y + 3 = -\frac{3}{5} x + \frac{6}{5} \\y = -\frac{3}{5} x - \frac{9}{5}[/tex]

Answer:

y = -3

Step-by-step explanation:

Teddy is writing a proof about the figure shown on the coordinate plane below. He wants to show that quadrilateral WXYZ is a parallelogram.



Which statement proves that WXYZ is a parallelogram?


A. Show that segments WX and YZ have equal slopes.

B. Show that segments WX and YZ have equal lengths.

C. Show that the midpoints of segments WY and XZ are the same point.

D. Show that segments WX and XY have slopes that are opposite reciprocals of each other.

Answers

B is the answer show that segments WX AND YZ have equal lengths

The statements are -

A. Show that segments WX and YZ have equal slopes.

B. Show that segments WX and YZ have equal lengths.

C. Show that the midpoints of segments WY and XZ are the same point.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that Teddy is writing a proof about the figure shown on the coordinate plane below. He wants to show that quadrilateral WXYZ is a parallelogram.

The statements that prove WXYZ as a parallelogram are -

A. Show that segments WX and YZ have equal slopes.

B. Show that segments WX and YZ have equal lengths.

C. Show that the midpoints of segments WY and XZ are the same point.

Therefore, the statements are -

A. Show that segments WX and YZ have equal slopes.

B. Show that segments WX and YZ have equal lengths.

C. Show that the midpoints of segments WY and XZ are the same point.

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hi anyone tell me the answer

Answers

Answer:

x= 136 degree ( being vertically opposite angle)

Answer:

x = 136

Step-by-step explanation:

x and 136 are vertical angles and congruent, then

x = 136

Find the slope- intercept from for the line Perpendicular to y-1/5x+5 passing through the point (3,-4)

Answers

It is just -4/4 hope this helps
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