Mathematics High School

When you divide the number of permutations of 11 objects taken 3 at a time by​ 3!, you will get the number of combinations of 11 objects taken 3 at a time.

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

Permutation :

nPr = n! ÷ (n - r)!

nCr = n! ÷ (n-r)!r!

11 objects taken 3 at a time :

11P3 = 11! ÷ (11 - 3)!

11P3 = 11! / 8!

11P3 = (11 * 10 * 9 )

11P3 = 990

Dividing by 3!

3! = 3*2*1 = 6

= 990 / 6

= 165

For combination :

11C3 = 11! ÷ 8!3!

11C3 = (11 * 10 * 9) / (3 * 2 * 1)

11C3 = 990 / 6

11C3

Related Questions

16 to the power of x=64
What is x?

Answers

Answer:

the answer is 32 to the 3rd power

Step-by-step explanation:

Hi everyone. I need help with my maths homework

Answers

Answer:

100pi

Step-by-step explanation:

4*pi*5^2

=100pi

Answer:

100π

Step-by-step explanation:

SA = 4π(5²) = 25 · 4π or 100π

Which of the following ratios is NOT equivalent to start fraction 4 over 8 end fraction ?

Answers

Answer:

there is no options but anything that doesnt equal 1/2 esstentially because 4/8 is the same as 1/2

is .5 a non integer between o and 1

Answers

0 and 1 are integers, there are no other integers between them

How many solutions does the system have?
x + y = 5
x + y = 6

- none
- one
- two
- infinite

Answers

Answer: no solution

Step-by-step explanation:

Answer:

no solutions

Step-by-step explanation:

In order for the system to have solutions, x and y must work for both equations.

The easiest way to solve this is the isolate the y variable on both equations and then solve for x:

1. x+y=5

y=5-x

2. x+y=6

y=6-x

Since the y variables for both equations should be the same, let us make a new equation:

6-x=5-x

6=5

Hmm... This doesn't seem to work! 6 does not equal to 5. Therefore, there are no solutions.

I hope this helps! Please let me know if you have any further questions :)

[4x(6-3)] + [(8-2) divided by 2)

PLEASE HELP ME IM STUCK ON THIS QUESTION ON A TEST

Answers

Answer: 9

Step-by-step explanation: 6-3 first because it in parenthesis and that give you 3 and 4x3= 12 + (8-2)= 6 and 12+6=18 and 18 divided by 2 = 9 so your answer is 9

[4x(6 - 3)] + [(8 - 2) / 2]
(24x - 12x) + (6/2)
(24x - 12x) + 3
24x - 12x + 3
12x + 3

So, the answer to this question is: 12x + 3


Which equation is represented by the table?

Answers

Answer:

D. 3x - 1

Step-by-step explanation:

y = mx + b

We see the point (0, -1), so b = -1

y = mx - 1

We can find the slope using 2 points such as (0, -1) and (1, 2).

m = (2 - (-1))/(1 - 0) = 3

y = 3x - 1

Answer: D. 3x - 1

Uhh, what the dude above me said

Please help me and explain how you got it please

Answers

Answer:

11 units perhaps you rise 6 and run 5. 6+5=11

Step-by-step explanation:

The difference between (-7)2and -(7)2is

Answers

The (-7) is negativing the 7 alone and -(7) is negativing the whole problem! I hope this helps

If these two shapes are similar, what is the measure of the missing length d?
25 m
20 m
d
5 m

Answers

Answer: 20m i know it pro

Step-by-step explanation:

I will give you thanks and :)
Please help

Answers

Answer:

Scale factor =  2, x = 3 cm

Step-by-step explanation:

The scale factor is 2 because you can see that in the second figure you multiply the sides from the first one by 2.

Using the scale factor 2, you can multiply 1.5 * 2 = 3 for x.

2(x + 3) = x- 4 rheurhejdbsvshdvd​

Answers

2(x + 3) = x - 4
2x + 6 = x - 4
subtract 6 from both sides of the equation
2x = x - 10
subtract x from both sides of the equation
x = -10

Which graph shows a linear function?​

Answers

Answer:

Top left.

Step-by-step explanation:

Because it is a function which forms a straight line in a graph

This is mainly for catra0920
But anyone can help :)

Answers

Answer:

[tex]-\frac{4}{9}[/tex]

[tex]-\frac{8}{27}[/tex]

Step-by-step explanation:

Answer:

-4/9 and -8/27

Step-by-step explanation:

im not the best at this though, so yeah

1.8kg converted into grams

Answers

Step-by-step explanation:

=(1.8×1000)g

=1800g

hope it helps.

Answer:

she's only correct......

What is the solution to the equation 3x+2=x+8

Answers

Answer:

x=3

Step-by-step explanation:

3x+2=x+8

Subtract x from both sides.

3x+2−x=x+8−x

2x+2=8

Subtract 2 from both sides.

2x+2−2=8−2

2x=6

Divide both sides by 2.

2x/2=6/2

x=3

2/5÷3 1/10
4 1/3÷4/7
3 1/6÷9/10
5/8÷2 7/12 i need the answers please

Answers

Step-by-step explanation:

on the picture

hope it's helpful ❤❤❤

THANK YOU

The rule for a line whose gradient is
-4 and y-intercept = 8 is:

Answers

Answer:

The rule for a line whose gradient is -4 and y-intercept = 8 is

[tex]y=-4x+8[/tex]

Step-by-step explanation:

Equation of line slope intercept form is

[tex]y=mx+b[/tex]  ------------- (1)

Where m is slope or gradient and b is y-intercept

Here

[tex]m=-4 \ \ \ and \ \ \ b=8[/tex]

Substituting values in equation (1)

[tex]y=-4x+8[/tex]

What is sqrt 12x^8 / sqrt 3x^2 in simplest form, where x≥0?
2 sqrt 3x^4
sqrt 15x^5
2x^3
2x^2​

Answers

The value of the equation √12x⁸ / √3x² is Option C.

The value is 2x³

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be = A

Now , the equation A = √12x⁸ / √3x²

On simplifying the equation , we get

And , √12 = 2√3

So ,

A = ( 2√3x⁸ ) / ( √3x² )

A = 2x⁴√3 / x√3

On simplifying , we get

A = 2x³

Therefore , the value of the equation is 2x³

Hence , The value of the equation √12x⁸ / √3x² is 2x³

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

Are the following functions linear or nonlinear? Drag the tiles to complete the statements.
Tiles may be used once, more than once, or not at all.
Function B
Function A
6 9 12
10 15 20
x 3
y 5
15
y
A
25
9
8
7
6
5
4
3
2.
1
0
0 1 2 3 4
5
6 7
8 9

Answers

Answer:

Nonlinear

Step-by-step explanation:

Jeremy went school supply shopping and bought a calculator, pencils, markers, and notebooks for $17.50.
His mom had a coupon for 20% off their entire purchase. How much money did Jeremy spend on school supplies?

Answers

Answer:

$14

Step-by-step explanation:

x/17.5=20/100, do the butterfly method

17.5x20=350

350/100= 3.5

17.5-3.5=14

Answer:14.00

Step-by-step explanation:

17.50*80/100 = 14.00

Question 3 cdhcjenfheucjndjdnd

Answers

Answer:

Slope 3, y-intercept is 1

Step-by-step explanation:

As x increases by 3, y increases by 9. Rate of change is y/x, therefore the slope is 9/3 which equals 3. If the slope is 3, to find y, simply subtract 9 from 10. 10-9 = 1.

Answer:

y=3x+1

Step-by-step explanation:

slope is 3

intercept is 1

You are trying to decide whether to use Uber or Lyft during a vacation. Uber charges $3 to pick up plus an additional $0.25 for each mile driven. Lyft does not charge to pick up but they have a rate of $0.75 for each mile driven.

Let x = the number of miles traveled and y = the total cost for the trip.

If a trip is 8 miles, which company would be the better choice? Show the work that leads to your answer.

Answers

Answer: the answer is uber.

Step-by-step explanation: Uber: 3 + 2 = $5.00 total

Lyft: = 6 dollars total

What is the value of h?

A). -2

B). -1

C). 1

D) 2

Answers

Answer: C

Step-by-step explanation:

I like turtles so how fast can a turtle cross the street if it was going 2 mils per hour and 2,934,000 hours past?

Answers

Answer:

5,868,000

Step-by-step explanation:

2,934,000 x 2 = 5,868,000

Find the Area of the figure below, composed of a square and four semicircles.
Rounded to the nearest tenths place

Answers

Answer:

The area of figure is: 2313

Step-by-step explanation:

We need to find area of the figure.

Figure is composed of one square and 4 semicircles.

So, we find area of both square and semicircles.

First we will find area of square.

Length of square = 30

The formula used is: [tex]Area\:of\:square=Length\times Length[/tex]

Putting values and finding area of square

[tex]Area\:of\:square=Length\times Length\\Area\:of\:square=30\times 30\\Area\:of\:square=900[/tex]

Now, we will find the area of semicircle

Diameter of semicircle = 30

Radius r = d/2 = 30/2 = 15

Now, The formula used is: [tex]Area\:of\:semicircle=\frac{\pi r^2}{2}[/tex]

Putting values and finding area of semicircle

[tex]Area\:of\:semicircle=\frac{\pi r^2}{2}\\Area\:of\:semicircle=\frac{3.14\times (15)^2}{2}\\Area\:of\:semicircle=353.25[/tex]

Now, we have 4 semicircles, all will have same area as their diameter is 30

So, [tex]The\: area\: of\: 4\: semicircle = 4*353.25 = 1413[/tex]

So, the area of the figure will be:

Area of figure= Area of Square+ Area of 4 semicircles

Area of figure = 900+1413

Area of figure=2313

So, the area of figure is: 2313

Answer:

Step-by-step explanation:

easy 2313 huh

What is y equal to when x = 8
y=-3x - 1

Answers

Answer:y= -25

Explanation: you put 8 into the equation so it would look like y=-3(8)-1 then you solve it

Answer:

y = -25

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

y = -3x - 1

x = 8

Step 2: Evaluate

Substitute in x:                               y = -3(8) - 1Multiply:                                          y = -24 - 1Subtract:                                         y = -25

Find the exact length of the third side,
7
2

Answers

Answer:

Step-by-step explanation:

When talking about a linear relationship slope and the rate of change is the really same thing -TRUE OR FALSE

Answers

The Ansewr is FALSE IT JUST MAKES SENCE

Hayden graphed the following linear function on an (x,y) coordinat plane. g(x) = 3x -4.5 What is the y-intercept of the graph of this function? Write the numerical value.​

Answers

-4.5 if you were to graph the linear function.
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