0/1 For positive integer n, n? = n! · (n − 1)! · … · 1! And n# = n? · (n − 1)? · … · 1?. What is the value of 4# · 3# · 2# · 1#?

Answers

Answer 1

Answer:

331776

Step-by-step explanation:

Since n? = n! · (n − 1)! · … · 1! And n# = n? · (n − 1)? · … · 1?

Then 4# = 4? · (4 − 1)? · (4 − 2)?· 1?

= 4? · 3? · 2?· 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 4? = 4! · (4 − 1)! · (4 − 2)! · 1! = 4! · 3! · 2! · 1! = 288

Thus, 3? = 3! · (3 − 1)! · 1! = 3! · 2! · 1! = 12

Also, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2

and 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

So, 4# = 4? · 3? · 2?· 1? = 288 × 12 × 2 × 1 = 6912

We now find 3#

3# = 3? · (3 − 1)? · 1? = 3? · 2?· 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 3? = 3! · (3 − 1)! · 1! = 3! · 2! · 1! = 12

Thus, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2

and, 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

So, 3# = 3? · 2?· 1? = 12 × 2 × 1 = 24

We now find 2#

2# = 2? · (2 − 1)? · 1? = 2? · 1?· 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2

1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

So, 2# = 2?· 1? = 2 × 1 = 2

We now find 1#

1# = 1? · 1? = 1? · 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

And, 1# = 1? · 1? = 1 × 1 = 1

So,  4# · 3# · 2# · 1#? =  6912 · 24 · 2 · 1? = 331776


Related Questions

David correctly graphed an inequality as shown below. -10-9-8-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 The inequality David graphed was written in the form 7 S 2 What is an expression that could be put in place of the question mark so that the inequality would have the same solution set as shown in the graph?​

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

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If f(x) = 3x - 6, what is the value of f(-5) ?
A. +9
B. -14
C. -21
D. +2

Answers

i believe it’s A .....

please someone give me an actual answer.​

Answers

Answer:

option 2

Step-by-step explanation:

Alyssa is going to invest in an account paying an interest rate of 4.3% compounded daily. How much would Alyssa need to invest, to the nearest dollar, for the value of the account to reach $330 in 17 years?

Answers

Answer:

159

Step-by-step explanation:

158.877856673=P

round:

P=159

Answer:

159  

Step-by-step explanation:

What is the value of |-8|

Answers

Answer: 8

Step-by-step explanation:

The two parallel bars mean absolute value meaning the positive value of that number. The positive value of -8 is 8. Note that positive number in an absolute value bars reamin the same.

More examples: |9|=9

Have a nice day! :D

Please help and right the real answer

Answers

Answer:

(-6,-3) would be the answer

A customer buys a CD for $15 and a video game. The customer pays a total of $42.80 for the two items, which includes 7% sales tax. Which equation can be used to find x, the cost of the video game before tax? 0.07 (15 + x) = 42.80 0.07 (42.8 minus 15) = x 1.07 (15 + x) = 42.80 1.07 (42.8 minus 15) = x

Answers

Answer:

1.07 (15 + x) = 42.80

Step-by-step explanation:

Given data

CD= $15

Let the cost of the video game be x

The total cost= 15+x

Hence the equivalent expression is

1.07 (15 + x) = 42.80

open bracket

16.05+1.07x= 42.80

42.80-16.05= 1.07x

26.75=1.07x

x= 26.75/1.07

x= 25

Check

7% tax for CD

=0.07*15

=1.05

total =1.05+15

=$16.05

7% tax for Video game

=0.07* 25

=1.75

total =1.75+25

=$26.75

In all

=26.75+16.05

=$42.8

Complete the following
a)
3
5
20
b)
11
25
30
6.

Answers

Answer:

The answer should be B

Would sinA 15/17 be corrrect?

Answers

Answer:

yes

Step-by-step explanation:

sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{15}{17}[/tex]

Given the roots of 4 and -2 find the equations of the quadratic.
4 points

Answers

Answer:

p(x) = x² - 2x -8

Step-by-step explanation:

We need to find the quadratic equation with roots 4 and -2 , we know that if a and ß are the roots of equⁿ , then the polynomial is ,

[tex]\implies p(x) =k[ x^2-(\alpha + \beta)x+\alpha\beta] [/tex]

Where k is constant . Substitute respective values ,

=> p(x) = k [ x² - ( a + ß )x + aß ]

=> p(x) = k [ x² - ( 4-2) x + (4)(-2) ]

=> p(x) = k [ x² -2x - 8 ]

If k = 1 ,

=> p(x) = - 2x - 8

Find the value of x. Show your work on a piece of paper. 1) 3 12 Х 20​

Answers

Answer:

x=5

Step-by-step explanation:

3 = 12/4

x = 20/4

x = 5

HELP PLS ILL MARK BRAINLIEST

Answers

The first answer (it makes the most sense)

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Answers

Answer:

I'm pretty sure it (a)

Step-by-step explanation:

I learned it as you eat the larger number

find a, b and c such that the number a , 7,b,23,c are in A.P please solve it​

Answers

Answer:

since a,7,b,23,c are in A.P.

first term t1=a

second term t2=7

common difference (d)=7-a

forth term t4=a+3d

23=a+3(7-a)

23=a+21-3a

23=21-2a

2a=21-23

a=-2/2=-1

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third term =a+2d=-1+2×8=15

:.b=15

5th term =c

a+4d=c

c=-1+4×8=31

a=-1

b=15

c=31

Step-by-step explanation:

what is stoichiometry ?

only for faizan !!!!

I cant seem to figure this out. Help

Answers

You’re gonna figure out the area of each side first. I’d recommend labeling them by letter to help keep track. Do 8x5=40 then multiply 40 by 2 (because there are two sides that are 8x5) then do 3x4 which is 12 usually you would divide 12 by 2 to get the area of a triangle but in this case just leave it alone because there are two triangles. Then do 3x8 for the rectangle (24) then you’re gonna add all the sides together. So 40+40+12(or 6+6) +24...youre answer should me 116

Answer:

108 cm^2

Step-by-step explanation:

This solid is a triangular prism.

The total surface area is made up of the area of 5 faces.

The front and rear faces are called the bases and are two congruent triangles.

The other three faces are three rectangles and form the lateral area.

SA = area of bases + lateral area

The area of the bases is 2 times the area of a triangle.

The lateral area is the sum of the area of the three lateral faces, 3 rectangles, and is also the product of the perimeter of the base and the height of the prism.

SA = 2 * bh/2 + PH

where

b = base of triangular base,

h = height if triangular base,

P = perimeter of the base, and

H = height of the prism

SA = 2 * (3 cm)(4 cm)/2 + (3 cm + 4 cm + 5 cm) * (8 cm)

SA = 12 cm^2 + 96 cm^2

SA = 108 cm^2

5) Mario owns a plumbing business. He charges an hourly rate plus a onetime set up fee. His first job was 4 hours and he charged $450. His second job was 3 hours and he charged $675. If his set up fee is $150, how much does he charge per hour?

Answers

Answer:

Results are below.

Step-by-step explanation:

First, we need to calculate the variable income per job:

First job= 450 - 150= 300

Second job= 675 - 150= 525

Now, the hourly rate:

Hourly rate= total variable income / number of hours

First job= 300 / 4= $75

Second job= 525 / 3= $175

It is probably that the second job was 7 hours long. If not, he doesn't charge the same amount per hour

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Answers

Answer:

300 voters

Step-by-step explanation:

1000 x 0.30 = 300

Answer:

300

Step-by-step explanation:

Can someone help me slove this plss. :-)

Answers

Answer:

Step-by-step explanation:

.

Question 3
For any square matrix A for which A'exists, determine the following products where I is the
identity matrix with the same dimensions as A. Give your answers in terms of A, A-1or I.
(a)AI
(b) AA-1I
(c)A-1AI

Answers

Answer:

X6rxufxufxufutistizstiitssititstisitstsituztsitistzutusutsstu

Pratibha spends 5 3/4 hours in school. He spends 4 1/4 hours for classes and 3/4 hours for lunch break. She spends the remaining time on sports. How much time does she spend on sports?

Answers

Answer:

13 hours and 15 minutes of her day are spent on sports if she doesn't sleep.

Step-by-step explanation:

How do you know which number in an exponential function controls how much it is stretched or compressed?

Answers

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Answers

There is no picture attached
I would love to help but where is the pic?

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Answers

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1.)280 2.)142.5 3.)30

Step-by-step explanation:

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B. 2x+3
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D. x+y+z

Answers

Answer:

2x+3

good luck

nice day

gg

Answer:

B. 2x+3

Step-by-step explanation:

Have a great day

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Answers

Answer:

691

Step-by-step explanation:

write the following number in standard form plezz

7.6 x 10^3

Answers

10^3=1,000

Anything multiplied by 1 is that number. In this case, multiply 7.6 by 1, then add 3 zeroes.

---

hope it helps

Answer:

7,600

Step-by-step explanation:

when you have to multiply by 10 to a power, you just move the decimal to the left as many times as by the power


12. A store charges a restocking fee for any returned item based upon the
item price. An item priced at $300 has a fee of $15. What percentage of the
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A. 4%
B.5%
C.6%
D.7%

Answers

B b b b b b b b b b b b b b b b b b

please answer with steps

Answers

Answer:

both of these.will be solved by angle sum property which states that sum of all interior angles is 180 degrees

in a

one angle is 30 degrees

other is right angle means 90 degrees

total sum of these angles is 120

total sum of all angle must be 180 degrees

so the third angle is 60 degrees

in b

one angle is 45 degrees

other is a right angle means 90 degrees

total sum of these angles is 135

total sum of all angles must be 180 degrees

so the third angle is 45 degrees

hope this helps

have a good day

thanks for points

Please help me!
[One Step Inequalities]

Answers

Answer: B

Step-by-step explanation:

Answer:

x is greater than or equal to 4

Step-by-step explanation:

divide both sides by two, treating it as an equation

so x is greater than or equal to 4

Skylar travels 50 meters N and then goes 30 meters W before coming straight back south 20 meters. What distance did she travel?Skylar travels 50 meters N and then goes 30 meters W before coming straight back south 20 meters. What distance did she travel?

Answers

Answer:

100 meters

Step-by-step explanation:

Given that:

Distance traveled N = 50 meters

Distance traveled W = 30 meters

Distance traveled straight back south = 20 m

The distance traveled :

Distance traveled N + Distance traveled W + Distance traveled S

(50 + 30 + 20) meters

= 100 meters

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