Dr. Orchid has 9 paintings she wants to hang side by side on her wall.
(A) in how many ways can she arrange all 9 paintings? Show your work.
(B) if she only wants to display 4 of the paintings, in how many ways can she choose the paintings she wishes to display? Show your work.

Answers

Answer 1

The number of ways Dr. Orchid can arrange all 9 paintings and 4 paintings is, 362880 and 126 respectively.

What is arrangement?

Arrangement of the things or object is mean to make the group of them in a systematic order, in all the possible ways.

The number of possible ways to arrange is n!. Here, n is the number of objects.

Dr. Orchid has 9 paintings she wants to hang side by side on her wall.

(A) Number of ways, she arranges all 9 paintings.

There are total 9 paintings. So the number of arrangement of these painting is,

[tex]9!=9\times8\times7\times6\times5\times4\times3\times2\times1\\9!=362880[/tex]

(B) Number of ways can she choose the paintings she wishes to display-

There are total 9 paintings, in which Dr. Orchid wants to display 4 of the paintings.  Thus, the number of ways can she choose the paintings she wishes to display is,

[tex]^9C_4=\dfrac{9!}{4!(9-4)!}\\^9C_4=\dfrac{9\times8\times7\times6\times5!}{4!5!}\\^9C_4=126[/tex]

Hence, number of ways Dr. Orchid can arrange all 9 paintings and 4 paintings is, 362880 and 126 respectively.

Learn more about the arrangement here;

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Related Questions

What is the surface area of the cylinder with height 3 yd and radius 4 yd? Round your
answer to the nearest thousandth.

Answers

A≈175.93yd²

A=2πrh+2πr2=2·π·4·3+2·π·42≈175.92919yd²

Therfore the surface area of the cylinder with height 3 yd and radius 4 yd is 175.93

Can any math experts please help me out with this? Thank you,

Answers

Answer:

13) x = 19

14) x = 12.4

Step-by-step explanation:

So, for 13, we know that the whole thing is 90 degrees, a right angle.

So, (4x - 17) + 31 = 90

Now, we'll subtract 31 from 90 to figure out the other angle.

4x - 17 = 59

Now, add seventeen to both sides to get 4x alone...

4x = 76

Divide each by four!

x = 19

Now, to check, we plug this x value into our first equation:

(4(19) - 17) + 31 = 90

(76 - 17) + 31 = 90

(59) + 31 = 90

90 = 90 :: true!

________________________________________

For 14, we know that the total must be 180, because it's a straight angle.

So, (5x + 22) + 96 = 180  
Again, subtract the known angle from each side:

5x + 22 = 84

Subtract 22 from each side to get the exponent by itself...

5x = 62

Divide each side by 5:

x = 12.4

Now, plug it in to check.....

(5*12.4) + 22 + 96 = 180

62 + 22 + 96 = 180

84 + 96 = 180

180 = 180 :: true!

Darcy pays $37.95 for a 25.3-kilometer taxi ride.

How much does Darcy pay, in dollars, per kilometer?

Answers

Answer:

1.5 per kilo

Step-by-step explanation:

Answer: That would be $1.50

Explanation: I took a test and I got it right

What is the length of the hypotenuse of the triangle below?
45
h
45°
5√2
90⁰
5√2

Answers

Answer:

10

Step-by-step explanation:

find the square root of the sum of the squares

The length of the hypotenuse for the given right angled triangle is 10 units.

What is a Pythagoras theorem?

Pythagoras theorem states that the square of the hypotenuse is equivalent to the square of the base and perpendicular.

We can write the formula for Pythagoras theorem as -

(hypotenuse)² = (base)² + (perpendicular)²

Given is to find the length of the hypotenuse in the right angled triangle shown.

Using the Pythagoras theorem, we can write that -

(hypotenuse)² = (base)² + (perpendicular)²

(hypotenuse)² = (5√2)² + (5√2)²

(hypotenuse)² = 2 x (5√2)²

(hypotenuse)² = 2 x 25 x 2

(hypotenuse)² = 100

(hypotenuse) = 10

Therefore, the length of the hypotenuse for the given right angled triangle is 10 units.

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there are c cyclist in a cycle race 3/4 of the cyclist finish the race how many cyclist did not finish give a algebraic formula

Answers

1/4

if 3/4 cyclists finish then that leaves 1/4 of the group that did not finish

Mean:median:mode:range

Answers

Answer: Hi there ^^ oki so ima explain what these are/mean
So for starters this is used in math and isnt really useful but u got to do the work sadly so.
the mean is the arithmetic average of a set of given numbers.
the median is the middle in sorted numbers (after u sort the given numbers), ascending or desending, list of numbers can be more descripited of that data set than the average.
the mode is the value that appears most frequently, for example "the mode of {4,2,4,3,2,2} is 2 because it accurs 3 times, so in short words the mode is the number used the Most,
And lastly the Range is the differance between the highest and the lowest values in a set of numbers.

i hope this helps u out! ^^ ~xlXCherryColaXlx

find the area for the shaded region

Answers

Answer:

610m^2 because that's math

Step-by-step explanation:

42x25 - 20x22

Step-by-step explanation:

S SOLUTION:

THE VOLUME OF CUBIOD IS 25 X 22 X 42=23100. M 3

VOLUME OF CUBIOD ; LENGTH X WIDTH X HEIGHT.

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

this answer is correct

brain less this answer

To make a small vase, Elisa uses no more than 4.5 ounces of clay. To make a large vase, she uses at least 12 ounces of clay. Which compound inequality represents the number of ounces of clay, c, that Elisa uses to make one vase of either size?

4.5 < c < 12
4.5 ≤ c ≤ 12
c < 4.5 or c > 12
c ≤ 4.5 or c ≥ 12

Answers

Answer:

last one is the answer of the following question

Answer:

D

Step-by-step explanation:

A coin tossed four times and a card is selected from a standard deck of cards

Answers

Probability of landing on tails = 1/2Probability of choosing a spade = 1/4, as there are 13 spades in a pack of 52 cardsSo the probability of both = 1/2 * 1/4 = 1/8.We are assuming the deck of cards does not contain jokers.

Molly's alarm clock fell to the floor and the glass face was broken. Molly measured the glass face so that she could order a new one.

The radius of the circle-shaped glass face is 8 centimeters. What is the approximate area of the glass face? (Use 3.14 for .)

Answers

Answer:

200.96 cm^2

Step-by-step explanation:

πr^2 is the formula for the area of a circle

π*8^2

64π

substitute pi with 3.14

64 * 3.14 = 200.96

200.96

mark brainliest please!

whats 1 added up to 1?

Answers

4 dude lol just playin 2

SOLVE PLSEEE I GIVE POINTS

Answers

Since the diameter for a segment is 68 centimeters long, we must divide that number by 4, since there are four circles. Next, we get 17.

Then, we use the formula for solving a circle, which is [tex]A = \pi r^2[/tex]. Plug in 8.5 (half of 17) for the radius, and then convert pi into 3.14. The equation should now look something like this: [tex]A = 3.14 * 8.5^2[/tex]. When solving, we get 265.865 for one circle only. We next multiply 256.856 by 4 since there are four circles. After multiplying you should get a total of 907.46 centimeters squared.

If this isn't correct, then do the same thing, but the radius is 34 centimeters.

the table shows the fees david charges for yard work

how much does david charge for yard work that takes 4.5 hours​

Answers

157= one hundred and fifty seven

find the derivative pls !!

Answers

The answer d/ds(5/2(s^2-1)(s^3+5))
=5/2s(5s^3-3s+10)

How would I solve I need to know Asap and what is the answer

Answers

Answer:

All of them are true.

Step-by-step explanation:

The symbol ≅  is used to show congruence between two shapes.

Congruency means that the shapes have the same shape and size.

This means that the two shapes are the same.

This means that all sides are going to be the same, so the first two statements are true.

This also means that the angles are the same, so the last two statements are also true.

mark brainliest please!

Answer:

1 and 3 are correct.

Step-by-step explanation:

You can just look at the order of the letters in the triangle congruence statement and see if they correspond with the answer choices.

For example... OC is congruent to JA because for both segments, it's the first letter, then the second letter from the beginning triangle congruence statement.

Solve the following equation

Answers

Answer:

Write it down in comments i can barely see

Step-by-step explanation:

Describe a set of transformations that would map Triangle FGH onto Triangle F’G’H’

Answers

The translations would be this

1) reflection over the x-axis
2) translation of (-6,0)

Find the perimeter of the figure below

Answers

Answer:

60 ft.

Step-by-step explanation:

The missing side length would be 6 ft.

14-8=6

Add up all the sides: 14+16+6+9+8+7=60

Hence, the perimeter is 60 ft.

Hope this helps!

Box A contains only 20-cent coins and Box B contains only 50-cent coins. The number of coins in Box A is twice the number of coins in Box B. The amount of money in Box B is $1.60 more than the amount of money in Box A. How many 20-cent coins are there in Box A?​

Answers

Answer: C


Step by Step Explanation:


20¢       50¢                           Box A : Box B                Diff Box B -- Box A     2      :  1                    0.50--0.40 = $1.600.20 * 2 : 0.50                     0.104 = 1.600.40¢                                        u = 1.60                                                       ------16, 0.40¢ Coins Box A                    0.1032, 0.20¢ Coins Box A       u = 16 The answer choice is C


(1)     8


(2)     16


(3)     32


(4)     48

Answer:

find out and discuss drawbacks that campaigners should avoid in order to run a successful social media campaign against human rights violations

coulddd i be helped really quick?

Answers

Answer for 4 is 56 costumers
Answer for 30 is x+56=y-$5.05
Cover charge be xCustomers be y

So

For every increase in cover price of x means 5x+0.5 decreases customers by 30

So

the expression is

5x+0.5=300y-305x=300y-30.5300y=5x-30.55x-300y-30.5=0


(a) Is the image
of the dilation a reduction or an enlargement of the original figure? Explain.
(b) What is the scale factor? Explain.

Answers

I will have to see the image I am pretty right

Pleaseeee answer I’ll give you pointsss

Answers

Answer:

Okay . That looks interesting. Can't help.

30 points
A. Transform F using the rule (x, y) → (-x, y)
B. Describe the transformation precisely.
C. Does the transformation result in a a congruent figure?

Answers

Answer:

A: You plot these points (-3,4) (-3,6) (-5,6) (-7,4)

B: The transformation would be described as a reflection over the y axis

C:  The transformation does result in a congruent figure because the shape doesn't change in size or shape and in length or width

Step-by-step explanation:

So our plots from the figure are: (3,4)  (3,6)  (5,6)  (7,4)

So using the rule (x, y) → (-x, y) are new points would be:

(-3,4)

(-3,6)

(-5,6)

(-7,4)

This rule (x, y) → (-x, y) is used for the type of transformation that is a reflection but over the y axis.

Trey plans to watch 2 movies each month. Write an equation to represent the total number of movies n that he will watch in m months.

Answers

Answer:

2n*m. when there is a one in front of a letter, it is immediately just the letter

If there are 12 months (m) and he plans to watch 2 per month, we will just multiply 2(12) and it gets us with 24 movies. If the amount of months is lower than 12, we can just put 2(m)

Which of the x values are solutions to the inequality 4(2 – x) > –2x – 3(4x + 1)? Check all that apply.

Answers

Step-by-step explanation:

[tex]4(2 - x) > - 2x - 3(4x + 1)[/tex]

[tex]8 - 4x > - 2x - 12x - 3[/tex]

[tex]8 - 4x > - 14x - 3[/tex]

[tex] - 4x + 14x > - 3 - 8[/tex]

[tex]10x > - 11[/tex]

[tex]x = - 1.1[/tex]

Answer:

[tex]x > \frac{-11}{10}[/tex]

Step-by-step explanation:

Step 1:  Distribute

[tex]4(2 - x) > -2x - 3(4x + 1)[/tex]

[tex](4*2)+(4 * (-x)) > -2x + (-3 * 4x) + (-3 * 1)[/tex]

[tex]8 - 4x > -2x - 12x - 3[/tex]

Step 2:  Combine like terms

[tex]8 - 4x > (-2x - 12x) - 3[/tex]

[tex]8 - 4x > -14x - 3[/tex]

Step 3:  Add 14x to both sides

[tex]8 - 4x + 14x > -14x - 3 + 14x[/tex]

[tex]8 + 10x > -3[/tex]

Step 4:  Subtract 8 from both sides

[tex]10x + 8 - 8 > -3 - 8[/tex]

[tex]10x > -11[/tex]

Step 5:  Divide both sides by 10

[tex]\frac{10x}{10} > \frac{-11}{10}[/tex]

[tex]x > \frac{-11}{10}[/tex]

Answer:  [tex]x > \frac{-11}{10}[/tex]

2x +2y-16x+4y+20=0 solve by completing the square​

Answers

Answer

7/3

Step-by-step explanation:

Find f of x and f of y

F(x,y) = 2x + 27 - 16x + 4y + 20, f of x = -14

F(x,y) = 2x + 2y - 16x + 4y + 20, f of y = 6

Find the fist partial derivative

f of x = -14

f of y = 6

Subsitude f of x = 14 and f of y = 6 into dy/dx = - f of x / f of y

reduce the fraction

dy/dx = - 14/6 = - - 7/3 = 7/3

Question in picture below

Answers

Answer:

  f(x) = 3sin(3.1416(x +4)/7)

Step-by-step explanation:

You want the equation of a sine function with an amplitude of 3 and having one cycle between the points (-11, 0) and (3, 0), where it has negative slope.

Equation

The equation will generally be of the form ...

  f(x) = (amplitude)·sin(2π/(period)·(x-(horizontal translation)))

Application

Here, the amplitude is 3 units, the period is (3 -(-11)) = 14 units, and the horizontal translation from the origin to the positive-going midline crossing is 4 units to the left.

Then f(x) is ...

  f(x) = 3·sin(2π/14(x -(-4))

  f(x) = 3·sin(3.1416/7(x +4))

<95141404393>

Please help I really need this

Answers

Answer:

(0 , 4)

Step-by-step explanation:

The Y-intercept is when a line crosses sector y at any point. This means x will be zero. Simply to find the y-intercept from this quadratic function, just look at where the line crosses the y-line.

This clearly passes at (0,4), therefore (0,4) is the y-intercept.

The regular price of a sofa, in dollars, is represented by . The sale price of the sofa is 30%off the regular price. Select alltrue statements.
A. The sale price of the sofa can be represented by −0.3.
B. The sale price of the sofa can be represented by 0.7.
C. The sale price of the sofa can be represented by 0.3
D. The dollar amount of the discount for the sale price can be represented by 0.3.
E. The dollar amount of the discount for the sale price can be represented by −0.3.

Answers

Answer:

BE

Step-by-step explanation:

The sale price of the sofa is given as :

Original Price (100% - 30%)Original Price (70%)Original Price (0.7)

The dollar amount for the discount

- 30% [discount]-0.3

8 ≤ 2m Find variable of m

Please show your work

Answers

Answer:

m ≥ 4

Step-by-step explanation:

8 ≤ 2m

8/2 ≤ m

4 ≤ m

m ≥ 4

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