The Cleveland Art Institute has eight paintings by a local artist they plan to display. If the paintings are hung in one horizontal line, how many different ways can they be arranged if order is important? A.10,880 B.20,160 C.1 D.40,320

Answers

Answer 1

Answer:

40320 ways

Step-by-step explanation:

Given

Paintings = 8

Required

Determine the number of arrangements

From the question, we understand that the order of arrangement matters;

This implies permutation and is calculated as thus;

[tex]^nP_r = \frac{n!}{(n-r)!}[/tex]

In this case,

[tex]n = 8[/tex]

[tex]r = 8[/tex], because all paintings are hung;

Substitute 8 for n and r, respectively

[tex]^8P_8 = \frac{8!}{(8-8)!}[/tex]

Evaluate the denominator

[tex]^8P_8 = \frac{8!}{0!}[/tex]

[tex]^8P_8 = \frac{8 * 7 * 6 * 5 * 4 * 3 * 2 * 1}{1}[/tex]

[tex]^8P_8 = 40320[/tex]

Hence, the number of arrangement is 40320 ways

Answer 2
40320 bro gotchu bruh

Related Questions

What is g(h(10))? (images)

Answers

Answer:

2 sqrt(2)

Step-by-step explanation:

h(x) = 2x-8

g(x) = sqrt( x-4)

g(h(10))

First find h(10)

h(10) = 2*10 -8 = 20-8 =12

Then find g(h(10) = g(12) = sqrt( 12-4)

                                = sqrt(8) = sqrt(4*2) = sqrt(4) sqrt(2) = 2 sqrt(2)

Answer:

a

Step-by-step explanation:

edge 2021

Which table represents a linear function? A, B, C, D

Answers

Answer:

Table B represents a linear function.

Step-by-step explanation:

Table B is a linear function because y goes up by a constant, steady rate of 4 every time x goes up by one.

the table that represents a linear function is B

Solve 2x^2+12=x−3 help

Answers

Answer:

x = 1 ±[tex]\sqrt{119i}[/tex]/ 4

Step-by-step explanation:

[tex]2x^{2} -x +15[/tex] = 0

Use the quadratic formula:

x = 1 ±[tex]\sqrt{119i}[/tex]/ 4

I hope this helps...

And plz mark me brainliest!!1

The answer is 4 help

Find the area and perimeter of the shaded region.

Answers

Answer:

Area: [tex]50\pi -100[/tex]

Perimeter: 20[tex]\pi[/tex]

Step-by-step explanation:

If we take half of one of these "pedals" we can see that it is simply 1/4 of a circle with radius 5, subtracted by a triangle. Let's calculate this half-pedal.

[tex]1/4(25 \pi) - 1/2(5* 5)[/tex]

That means 4 pedals is equal to:

[tex]8(1/4(25\pi) - 1/2 (25))[/tex]

[tex]50\pi - 100[/tex]

So.. The area of the shaded region is [tex]50\pi -100[/tex]

Perimeter is even simpler. the half-pedal is just 1/4 of the circumference of the circle. The circumference is just [tex]10\pi[/tex], which means our half pedal is:

[tex]1/4(10\pi )[/tex]

Multiplying by 8, our perimeter is just 20[tex]\pi[/tex].

Perimeter- 20
Area- 50-100

Both of these question please help me!!!!!!

Answers

Answer:

1. A=3x^4y^4 2.B= 2^6=64

Step-by-step explanation:

hope this helps pls mark brainliest

3x^4y^4
And
2^6=64 bateria

can somewon help me plz

Answers

Answer:

parallel

Step-by-step explanation:

We are cutting in the same direction as the base, so the slices is parallel to the base

the answer is parallel to the base

What is the solution of the inequality shown
below?
y+7<-1

Answers

Answer:

y<-8

Step-by-step explanation:

y<-1 - 7

y<-8

Answer:

y < -8

Step-by-step explanation:

To solve an inequality, we must get the variable, y, isolated on one side of the inequality.

[tex]y+7 < -1[/tex]

7 is being added to the variable, y. The inverse of addition is subtraction. Subtract 7 from both sides of the inequality.

[tex]y+7-7< -1-7[/tex]

[tex]y < -1-7[/tex]

[tex]y < -8[/tex]

The solution to the inequality is: y< -8

PLEASE HELP WILL GIVE BRAINLY!!!!!!!!!What is the vertex of the graph of the function f(x) = x2 + 8x − 2 ?
(−4, 18)
(0, -2)
(-8, -2)
(−4, −18)

Answers

Answer: D.  (-4, -18)

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

Explanation:

A graph is a nice addition (and it will likely help us see the vertex directly), but it isn't necessary because we can use the equation given to us. Though I recommend using a graphing calculator to confirm the answer.

The original function is the same as y = 1x^2+8x + (-2). We see that it is in the form y = ax^2+bx+c where

a = 1

b = 8

c = -2

Use the values of 'a' and b to get the value of h, which is the x coordinate of the vertex.

h = -b/(2a)

h = -8/(2*1)

h = -4

The x coordinate of the vertex is x = -4. Plug this into the original equation to get

f(x) = x^2+8x-2

f(-4) = (-4)^2 + 8(-4) - 2

f(-4) = -18

Plugging x = -4 into f(x) leads to y = -18. The point (-4, -18) is on the parabola. Furthermore, this is the vertex (h,k)

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

Alternatively, you can complete the square as shown below

y = x^2 + 8x - 2

y = (x^2 + 8x) - 2

y = (x^2 + 8x + 0) - 2

y = (x^2 + 8x + 16 - 16) - 2

y = (x^2 + 8x + 16) - 16 - 2

y = (x+4)^2 - 18

y = 1(x+4)^2 - 18

y = 1(x-(-4))^2 - 18

The last equation is in the form y = a(x-h)^2 + k with (h,k) = (-4,-18) being the vertex. The 16 is the result of taking half of 8 and squaring that result. We have 16-16 = 0 to make sure that we don't change the equation and keep things balanced. This is the same as adding 16 to both sides. All of this is done so we can end up with the (x+4)^2 perfect square portion.You can expand out (x+4)^2 - 18 and you should get x^2+8x-2 again.

D is the answer

Because you need to rewrite in vertex form and use this form to find the vertex (h,k)

Which should get you to

(-4,-18)

Solve the equation using the multiplication property of equality and the reciprocal of 1 4 . 1 4 ( r − 5 2 ) = 1 8

Answers

Answer: I dont know if this is right but the is 8 Ive never done this before.

Step-by-step explanation:

1 =

4 =

1 =

4 =

r− 5 ⋅ 2 = 1 = r = 11

8 = r = 11

Yeah Im pretty sure its 8

John ran 1 2 mile in 5 minutes, and Al ran 1 3 mile in 4 minutes. Which runner ran at a faster rate?

Answers

Answer:

John ran at a faster rate

Step-by-step explanation:

If john runs 1/2 mile in 5 minutes, then for him to run 1 mile it would take 10 minutes because it takes john 5 minutes for every half of a mile. Now Al runs 1/3 mile in 4 minutes. If he would run 1 mile, it would take him 12 minutes because it takes him four minutes every third mile.  

1/3 : 4    =       3/3 : 12        Al

1/2 : 5    =     2/2 : 10           John

From both of the rations John ran faster

John ran faster....................

Please if anyone could answer this question. Me and my friends tried but only got headache at last. Kinda stuck in this question now.

Answers

Answer:

3/4 of the whole day(24 hours)

Step-by-step explanation:

1/3 of 24 hours equal to 8 hours. He slept for 8 hours. So his waking time equals 24-8=16

5/8 of his waking time (16 hours ) equal to 10 hours.

now total time spent in his house 10 + 8 = 18

in fraction 18/24 = 3/4

He slept 1/3 of the day, and is awake 2/3 of the day (note that 1/3 + 2/3 = 3/3 = 1)

2/3 of 5/8 = (2/3)*(5/8) = (2*5)/(3*8) = 10/24 = 5/12 of the day is spent at home when he is awake

Add 1/3 and 5/12 to get

1/3 + 5/12 = 4/12 + 5/12 = (4+5)/12 = 9/12 = 3/4

He spent 3/4 of a whole day at home (equivalent to 18 hours)

Answer:  3/4

Machine A can fill 1 box of nails in 6 minutes. Machine B can fill 1 box of nails in 9 minutes. They started to work at the same time and they stopped also at the same time. In all they filled 100 boxes. How many were filled by machine A?

Answers

A-

1 box --- 6 minutes

y boxes --- 1 minute

y = 1/6

B-

1 box --- 9 minutes

t boxes --- 1 minute

t = 1/9

So...

r - used time

r(1/9 + 1/6)=100

r=(100.18)/5

r= 360 minutes

1/6 . 360 = 60 boxes

answer: 60 boxes

In total, machine A filled 66 boxes, and machine B filled 66 boxes, resulting in a total of 100 boxes filled.

Let's use the concept of the rate of work to solve this problem. The rate of work is the amount of work done per unit of time.

Machine A's rate of work is 1 box of nails every 6 minutes.

Machine B's rate of work is 1 box of nails every 9 minutes.

Let's assume that machine A filled x boxes, and machine B filled y boxes. Since they worked for the same amount of time, the total number of boxes filled by both machines is 100.

So, the equation representing the total work is:

x (boxes filled by A) + y (boxes filled by B) = 100

Now, let's use their rates of work to form two more equations:

Rate of work of A = 1 box every 6 minutes

Rate of work of B = 1 box every 9 minutes

Since work = rate × time, we can write two equations:

x (boxes filled by A) = (1/6) * t (time in minutes)

y (boxes filled by B) = (1/9) * t (time in minutes)

Since they both worked for the same time, we can set the time for both machines as equal:

t = t

Now, we have a system of equations:

x + y = 100

x/6 = y/9

t = t

Let's solve the system of equations. We can start by substituting the value of y from the second equation into the first equation:

x + (x/6)*3 = 100

x + (x/2) = 100

Multiply both sides by 2 to eliminate the fraction:

2x + x = 200

3x = 200

x = 200/3

Now, let's find the value of y using the second equation:

y = (x/6)*3

y = (200/3)/6 * 3

y = 200/3

So, machine A filled 200/3 boxes of nails, which is approximately 66.67 boxes.

Machine B filled 200/3 boxes of nails, which is also approximately 66.67 boxes.

Since they cannot fill a fraction of a box, we can distribute the remaining 2/3 box between machine A and machine B, giving one extra box to each.

In total, machine A filled 66 boxes, and machine B filled 66 boxes, resulting in a total of 100 boxes filled.

To know more about machine:

https://brainly.com/question/31535149

#SPJ2

what is the right answerrrr??

Answers

Answer:

C. Two lines are perpendicular if they have opposite slopes

Step-by-step explanation:

Hey there!

Well 2 lines that are perpendicylar have reciprocal slopes for example,

2 and 1/2 are 2 slopes that are perpendicular.

Hope this helps :)

C is the correct answer

d) Use your knowledge of scale drawings and image sizes to fill in the missing
information in the table. (3 points)
Empire State Building
Original
Image
Actual Height
(in feet)
1,450
1,450
1,450
Reduced
Image
Model Height
(in blocks)
145
1
1
Scale Factor
25
50

Answers

Answer:

  Your table is filled in below.

Step-by-step explanation:

The scale factor is the ratio of image size to original size. In part (d), the image height is "blocks" while the original height is "feet". So, the units of the scale factor are "blocks/ft".

Sometimes a scale factor has units, like this, and sometimes it is expressed as a pure number. A map scale factor might be the pure number ratio 1 : 62500, or it could also be expressed with units as 1 in : 1 mile.*

__

* actually, these are slightly different scales. 1:62500 is about 0.98643 inches per mile.

Answer: Image

Step-by-step explanation:

took the test

In triangle GHI, GH= 2cm
please do 3 and 4

Answers

Answer:

Tan D = 7 / 4

Sin D = 7 / 8.1

Cos D = 4 / 8.1

IG = 4.95 Cm

Step-by-step explanation:

In question number 3

Tan D = Perpendicular / Base

Tan D = 7 / 4

Sin D = Perpendicular / hypotenuse

Sin D = 7 / 8.1

Cos D = Base / hypotenuse

Cos D = 4 / 8.1

In question number 4

Tan 68° = IG / GH

2.475 = IG / 2

IG = 4.95 Cm

Find the total surface area of this cone.
Round to the nearest tenth.

Answers

Answer:

A ≈ 312.1

Step-by-step explanation:

[tex]A = \pi r(r+\sqrt{h^2 + r^2})[/tex]

r = 5

h = 14

[tex]A = \pi 5(5+\sqrt{14^2+5^2})[/tex]

A = 312.055478161

312.1 is definitely the answer.

PLEASE HELP A. Use composition to prove whether or not the functions are inverses of each other. B. Express the domain of the compositions using interval notation.

Answers

Answer:

Part A : see composition process below

Part B :    [tex]Domain=\{x\,|\,x\neq 0\}[/tex]

Step-by-step explanation:

Part A

Let's use the composition of functions to find if they give the identity : [tex]f(g(x))=x[/tex]  thus proving they are the inverses of each other:

[tex]f(g(x))=f(\frac{5x+1}{x} )=\frac{1}{\frac{5x+1}{x}-5} =\frac{1}{\frac{5x+1-5x}{x}} =\frac{1}{\frac{1}{x} } =x[/tex]

So we have proved they are the inverses of each other.

Part B

Given that the composition is:

[tex]f(g(x))=\frac{1}{\frac{1}{x} }[/tex]

the Domain must exclude x=0, for which this quotient is undefined.

The Domain is then:

[tex]Domain=\{x\,|\,x\neq 0\}[/tex]

2. Evaluate the polynomial two ways: by substituting in the given
value of x, and by using long division.
Find P(-3)for P(x)= 4x2 +10x - 8.

Answers

Answer:

  P(-3) = -2

Step-by-step explanation:

Substitution

P(-3) = 4(-3)^2 +10(-3) -8 = 36 -30 -8

P(-3) = -2

__

Long Division

See the working below. The remainder is -2, so ...

  P(-3) = -2

P(-3) = -2 i think that’s what it’s keeps giving me

A certain forest covers an area of 2900 km. Suppose that each year this area decreases by 8.5%. What will the area be after 8 years?
Use the calculator provided and round your answer to the nearest square kilometer.

Answers

Answer:

1425 square kilometer.

Step-by-step explanation:

2900 - 8.5% = 2653.5

2653.5 - 8.5% = 2427.9525

2427.9525 - 8.5% = 2221.5765375

2221.5765375 - 8.5% = 2032.74253181

2032.74253181 - 8.5% = 1859.95941661

1859.95941661 - 8.5% = 1701.8628662

1701.8628662 - 8.5% = 1557.20452257

1557.20452257 - 8.5% =1 424.84213815 ≈ 1425

The guy above is right :)

What will I get for this 16 + x = 12

Answers

First step: subtract 16 from both sides to get x=12-16

Second step: simplify to x= -4

Third step: fill it back into the equation to check, 16 + -4 = 12, and 12=12 this is a true statement

Answer:

x = -4

Step-by-step explanation:

16 + x = 12

16 - 16 + x = 12 - 16

x = -4

Question: 4 x 1 2/5 Answer with a mixed number in simplest form!

Answers

Answer:

[tex]5\frac{3}{5}[/tex]

Step-by-step explanation:

[tex]4*1\frac{2}{5} = 4 * \frac{7}{5} = \frac{28}{5} = 5\frac{3}{5}[/tex]

Answer:

[tex]\boxed{ 5\frac{3}{5}}[/tex]

Step-by-step explanation:

[tex]\displaystyle 4 \times 1\frac{2}{5}[/tex]

[tex]\sf Convert \ mixed \ fraction \ into \ improper \ fraction.[/tex]

[tex]\displaystyle 4 \times \frac{7}{5}[/tex]

[tex]\sf Multiply.[/tex]

[tex]\displaystyle \frac{28}{5}[/tex]

[tex]\sf Convert \ improper \ fraction \ into \ mixed \ fraction.[/tex]

[tex]\displaystyle 5\frac{3}{5}[/tex]

In △ABC, AB = BC = 20 and DE ≈ 9.28. Approximate BD. (made a second one since trollers ruined my last one :/ )

Answers

Answer:

approximately 5.36

Step-by-step explanation

20 - 9.28 = 10.72

BD = EC

10.72/2 = 5.36

hi! the answer is 536

In △ABC, AB = BC = 20 and DE ≈ 9.28. Approximate BD.

Answers

Answer:

5.36

Step-by-step explanation:

tan 15 = x / 20

x = 40 - 34.64

x = 5.36

5.36 is the answer to this problem

If dn = ‾‾√24, what value of n makes this equation true?

Answers

Answer:

1/24

Step-by-step explanation:

Answer:

1/24 makes this equation true

What is the value of r in the equation?
-1.5(4-r)=-12
0 -6
-4
4
06

Answers

Answer:

r = -4

Step-by-step explanation: I hope it helps :)

[tex]-1.5(4-r)=-12\\\\\mathrm{Multiply\:both\:sides\:by\:}10\\\\-1.5\left(4-r\right)\cdot \:10=-12\cdot \:10\\\\= -15\left(4-r\right)=-120\\\\\mathrm{Divide\:both\:sides\:by\:}-15\\\\\frac{-15\left(4-r\right)}{-15}=\frac{-120}{-15}\\\\4-r=8\\\\\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}\\\\4-r-4=8-4\\\\-r=4\\\\\mathrm{Divide\:both\:sides\:by\:}-1\\\\\frac{-r}{-1}=\frac{4}{-1}\\\\r=-4[/tex]

Answer:

r = -4

Step-by-step explanation:

-1.5(4-r)=-12

Divide each side by -1.5

-1.5/-1.5(4-r)=-12/-1.5

(4-r)=8

Subtract 4 from each side

4-r-4 = 8-4

-r = 4

Divide each side by -1

r = -4

Help plz and explain if possible

Answers

Answer:

d

Step-by-step explanation:

d is most definitely the correct answer.

5x1+1x(1/10)+3x(1/100)+6x(1/1000) in standard form

Answers

Answer: 642/125

Explanation:

5x1+1(1/10)+3(1/100)+6(1/1000)
= 5 + 1/10 + 3/100 + 6/1000
= 5000/1000 + 100/1000 + 30/1000 + 6/1000
= 5136/1000
= 642/125

Answer:

642/125

Step-by-step explanation:

and the other person got it

TheOriginal tragedy of the commons concern grazing cows and sheep’s and 14 century England, space choose the theme in about the tragedy of the commons that is correct

Answers

Answer:

The tragedy of the commons in fourteenth-century England was overcome by the common lands being enclosed and privatized.

Step-by-step explanation:

The Commons tragedy refers to a popular economic narrative that explains why common assets appear to be overused from a social point of view. The story-line is focused on the premise that each person tries to get as much profit as possible from the available resource. As per the question, the land available for grazing was limited and solution can be opted through enforcing regulations, auctioning out a limited number of licenses, or transforming the common good into a private good.

God is always the answer

(08.06 MC)
Use the graph to approximate the ordered pair where the exponential function begins to exceed the quadratic function.
ty
15
18
t
16
14
f(x)
Jestion
Question 1 (Answered)
0

Answers

Answer:

  (3.5, 17)

Step-by-step explanation:

It would be nice to see the whole graph, so we can see where the functions cross.

Without that information, we can still eliminate unreasonable choices.

A) the quadratic at y=3.5 is well above the exponential

B) the most likely choice (3.5, 17)

C) at x=-8, the quadratic is above the exponential

D) neither graph goes anywhere near y = -8

The answer is 3,15,19

I need help whats 5/8 + 14 the 5/8 is a fraction

Answers

Hey there!

5/8 + 14 = ?

We can say 14 is equal to 14/1 beause it doesn't have a denominator and we will need to solve for your equation

14 * 8 = 112 (upcoming numerator for now)

8 * 1 = 8 (upcoming denominator for now)

5 stays alone

New equation 5 + 112 / 8

5 + 112 = 117 (numerator)

8 = 8 (demominator)

Answer: 117/8 (if you're looking for the improper fraction version) ; 14 5/8 (if you're looking for the mixed number version) ; 14.625 (if you're looking for the decimal version of it)

⬆ ANY one of these choices SHOULD work

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

LCD = 8

Multiplying numerators and denominators to get the LCD in all fraction denominators
=58+14×81×8
=
5
8
+
14
×
8
1
×
8
Then rewriting the equation with the equivalent fractions
=58+1128
=
5
8
+
112
8
With like denominators we can operate on just the numerators
=5+1128
=
5
+
112
8
=1178
=
117
8
Simplifying the answer
=1178
=
117
8
=14 5/8
answer is 117/8 or simplified would be 14 and 5/8
Other Questions
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A. 0.45 B. 0.20 C. 0.25 D. 0.15 Which type of appeal is used in this sentence?Ms. Navarro changed my life in so many wayssometimes by spending an extra hour going over a toughmath problem and other times by taking the effort to giveme a bit of heartfelt advice.A. LogosB. KairosC. EthosD. Pathos Este Premio Nobel significa un portaestandarte para proseguir con la denuncia de la vioiacin de los Derechos Humanos, que se cometen contra los pueblos en Guatemala, en Amrica y en el mundo, y para desempear un papel positivo en la tarea que ms urge en mi pas, que es el logro de la paz con justicia social. Sin duda alguna, constituye una seal de esperanza para las luchas de los pueblos indgenas en todo el Continente. 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What are the solutions to the system of equations? {y=2x28x+5y=x2 (3.5, 0.5) and (1, 1) (7, 5) and (0.5, 1.5) (3.5, 1.5) and (1, 1) (3.5, 1.5) and (1, 3) Question 1 (2 points)(01.01 LC)Which of the following is a characteristic of science? (2 points)QUReproducible by other scientistsObThe personal opinion of the scientistUsing variable conditions for each testdIncluding only the data that supports a hypothesis convert 407 in base 8 to decimal 3.8547.3+52.73.85 PLSSSSS HELP The pepper plant has \dfrac{2}{3} 3 2 start fraction, 2, divided by, 3, end fraction as many fruits on it as the tomato plant has. The tomato plant has 999 fruits on it. Which passages from The Education of a Young Chief best show that an important aspect of the narrators culture is to think of the needs of others in the community before ones own needs? Select all that apply. The Education of a Young Chief If you reverence the aged, many will be glad to hear of your name, were the words of my father. The poor man will say to his children, my children, let us go to him, for he is a great hunter, and is kind to the poor; he will not turn us away empty. Many a lecture I received when the deer lay bleeding at the feet of my father; he would give me an account of the nobleness of the hunters deeds, and said that I should never be in want whenever there was any game The Indians, as has just been said, once had a custom, which is now done away, of making a great feast of the first deer that a young hunter caught; the young hunter, however, was not to partake of any of it, but wait upon the others. We have only one custom among us, and that is well known to all; this river and all that is in it are mine. I have come up the river behind you, and you appear to have killed all before you. This is mine, and this is mine. If prosecutors contest insanity, jurors are typically not informed that the defendant would not go free if found NGRI. A study cited in the text has found that telling jurors what happens to a defendant found NGRI: what is the length of DI? A 1.4 B 4.4 C 5.6 D 17.6 Burke's Corner currently sells blue jeans and T-shirts. Management is considering adding fleece tops to its inventory to provide a cooler weather option. The tops would sell for $53 each with expected sales of 4,300 tops annually. By adding the fleece tops, management feels the firm will sell an additional 285 pairs of jeans at $65 a pair and 420 fewer T-shirts at $26 each. The variable cost per unit is $36 on the jeans, $16 on the T-shirts, and $31 on the fleece tops. With the new item, the depreciation expense is $33,000 a year and the fixed costs are $76,000 annually. The tax rate is 35 percent. What is the project's operating cash flow? Between which two integers does square root of /500 lie?