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

x+62=19 what is it help me now

Answers

Answer:

= − 4 3

Step-by-step explanation:

Answer:

x+62=19

x=19-62

x=-43

I hope this help

13.2 inches is 27.5% of what number?

Answers

Answer:

48

My explanations is:

13.2:27.5*100 =

(13.2*100):27.5 =

1320:27.5 = 48

At noon Ada and Kent had gallons of lemonade left at their lemonade stand. The next 3/8 customer bought of the remaining lemonade.How much lemonade did the customer 1/3 buy?

Answers

Answer:

2

Step-by-step explanation:

Which represents the solution set of the inequality 5x-9 < 21? a. x < 12/5 b. x > 12/5 c. x > 6 d. x < 6

What is the probability of not rolling a 2 or 4 on a number cube having sides labeled with numbers 1-6

Answers

Answer: 2/3

Step-by-step explanation:

In the number cube, the possible numbers that can be gotten when it is rolled are 1, 2, 3, 4, 5 and 6.

We should note that when 2 or 4 is not rolled, there'll be 4 other numbers which can be rolled and they're 1, 3, 5 and 6.

Therefore, the probability of not rolling a 2 or 4 on a number cube having sides labeled with numbers 1-6 will be 4/6. This can be further reduced to 2/3

Part 1:


Worst Buy, a local electronics store, advertises a sale price of 25% off all televisions 42" or bigger. Model the sales price (original price minus discount) of those televisions, y, as a function of the regular price of the tv, x.


Part 2:


If the regular price of a 60" television is $1000, use the equation you came up with in part 1 to find the sales price of the item.

Answers

Answer:

Part 1 : y = 0.75x

Part 2 : $750

Step-by-step explanation:

Part 1

Worst Buy, a local electronics store, advertises a sale price of 25% off all televisions 42" or bigger. Model the sales price (original price minus discount) of those televisions, y, as a function of the regular price of the tv, x.

Let y be the sales price of the tv and x its regular price. Since its sales price = regular price - discount, and our discount is 25% of the sales price, that is 0.25x, we have

sales price = regular price - discount

y = x - 0.25x

y = 0.75x

Part 2:  If the regular price of a 60" television is $1000, use the equation you came up with in part 1 to find the sales price of the item

Since the sales price, y = 0.75x,and x = regular price = $1000,

substituting x into y, we have

y = 0.75x

y = 0.75($1000)

y = $750

need answers asap pls bae<3
ill mark you the whatever if you answer bae​

Answers

Answer: Justin is shown in 15 pictures with friends, 6 with family, and 8 with only him

Step-by-step explanation: Hope this helps :)

3) Slope = 4, passing through (-1,5)
Slope

Answers

be more specific boo xxo
4x +y-21=o
explanation using point grade formula y
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what is 5(2x - 7) = step by step equation need please and thank you

Answers

5(2x-7)
= (5)(2x+-7)
= (5)(2x)+(5)(-7)
= 10x - 35

Find the value of x and y. Give your answer in simplest radical form.

Answers

Answer:

Step-by-step explanation:

19)

6/x = x/12

x^2 = 72

x = √72

x = 6√2

y^2 = 12^2 + (√72)^2

y^2 = 144 + 72

y^2 = 216

y = 6√6

21)

14 - 8 = 6

y/8 = 6/y

y^2 = 48

y = √48

y = 4√3

x^2 = 6^2 +(√48)^2

x^2 = 36 + 48

x^2 = 84

x = √84

x = 2√21

Step-by-step explanation:

i say you tomorrow ok my friend

a triangle has two sides of length 2 & 6, what’s the smallest possible whole number length for the 3rd side

Answers

Answer:

2

Step-by-step explanation:

2 is the smallest you can get fir it to be a proper triangle

help help help help help help help help help help help help help​

Answers

Yeah I just took the text it’s false

Robert owns a doggy hotel. This is like a kennel but much fancier. Last friday the 14th he had 35 dogs that ate 3/8 of a pound of food. On friday the 7th he had 27 dogs that ate 1/2 of a pound each. which friday did he need more food and how many more pounds

Answers

Answer:

the 7th

0.007805 or  59 / 756

Step-by-step explanation:

To determine the Friday that he needed more pounds, determine the number of pounds he needed per dog for each Friday.

to do this, divide the total pounds by the number of dogs

on the 14th

3/8 ÷ 35 =

3/8 x 1/35 = 3/280

on the 7th

1/2 ÷ 27 =

1/2 x 1/27 = 1/54

to determine which fraction is larger multiply each by 100 to determine its percent

3/280 x 100 = 1.071

1/54 x 100 = 1.852

1/54 is larger. Thus, more pounds was needed on Friday the 7th

the difference between these fractions should be determined  

[tex]\frac{1}{54}[/tex] - [tex]\frac{3}{280}[/tex]

[tex]\frac{280 - 162}{1512}[/tex] = [tex]\frac{118}{1512}[/tex] = 59 / 756

Write the answer in simplest form 1 1/3 ÷ 2/3 =

Answers

Hopes this helps:

Answer: 2

1•3+1/3 divided 2/3

3+1/3 divided 2/3

4/3 divided 2/3

4/3 • 3/2

4 • 1/2

4/2

2
2, is the answer. hope this helps:)

63 ⋅ 73 = 423 is this correct

Answers

Answer:

4599

Step-by-step explanation:

Answer:

i dont think so

i dont know what the dot means so i will give you answers for everything

Step-by-step explanation:

63 plus 73 is 136

63 minus 73 is 10

63 times 73 is 4599

63 divided by 73 is 1.158730158730159

so if the dot meant plus minus times or divide that that is wrong

please mark brainlyest it really helps

Carlos is making hats for his friends. He has 2 balls of yarn. He uses 1/3 of a ball for each hat. How many hats can Carlos make

Answers

Answer:

he can make 6 hats

Step-by-step explanation:

Please answer the following brainiest for whoever gets it and show work! :D

Answers

Step-by-step explanation:

Since I haven't gotten a reply, I'll just do area and circumference.

Area = pi(r^2)

Circumference: 2(pi)r

7) r = 4/3 yd

pi = 22/7

Area = (22/7)(4/3)^2 = 5 37/63

Circumference = 2(22/7)(4/3)

8) d = 8.4, r (radius) is 1/2 of d, so r = 4.2

pi = 3.14

Area = (3.14)(4.2)^2 = 55.3896

Circumference = 2(3.14)(4.2) = 26.376

Hope this helps! I hope that this is what you're looking for or the time will be wasted haha :)

There are 12 girls at a slumber party. 2/3 of the girls brought a sleeping bag. How many girls brought a sleeping bag?

Answers

Answer:

8 girlies

Step-by-step explanation:

12/3=4

4x2=8

Answer:

8

Step-by-step explanation:

since there are 12 girls we have an x amount of girls who brought sleeping bags and 12-x for those who didn't. so

x/12=2/3

multiply both sides by 12

(x/12)12=(2/3)12

x=8

Hope that helps :)

A ship travels 200 km west from port and then 240 km due south before it is disabled. Illustrate this in a vector diagram. Use trigonometry to find the course that a rescue ship must take from port in order to reach the disabled ship.

Answers

The course that a rescue ship must take from port in order to reach the disabled ship is 312.4 km at a direction of 50.2⁰.

Sketch of the ship's motion

The sketch of the journey of the ship can be used to determine the course that a rescue ship must take from port in order to reach the disabled ship.

                              <-------- 200 km-------

                               |

                               | 240 km

                              ↓

Displacement of the ship

The displacement of the ship from the initial position is calculated as follows;

d² = 200² + 240²

d² = 97,600

d = √97,600

d = 312.4 km

Direction of the displacement

tanθ = 240/200

tanθ = 1.2

θ = tan⁻¹(1.2)

θ = 50.2⁰

Learn more about displacement here: https://brainly.com/question/2109763

#SPJ2

The Adams family bought a small piece of land in the hill country. The plot is in the shape of a rectangle and measures about 50 yards by 41 yards. What is the area of the plot?

Answers

Given:

The dimensions of a rectangular plot are 50 yards by 41 yards.

To find:

The area of the plot.

Solution:

We know that, the area of a rectangle is

[tex]Area=Length\times width[/tex]

So, the area of the rectangular plot is:

[tex]Area=50\times 41[/tex]

[tex]Area=2050[/tex]

Therefore, the area of the rectangular plot is 2050 square yards.

which of the following equations is quadratic?
A. x( x² + 1) = 0
B. 5(4x + 2) = 3
C. (x + 3)(x + 4) = 5

Answers

its (x+3)(x+4)=5 , the third one

C'mon people! For the function g(x) = 2x2 – 19, what is the difference quotient?


A. 2h; h ≠ 0

B. 2x + 2h; h ≠ 0

C. 4x + 2h; h ≠ 0

D. 4x + 2h – 19; h ≠ 0

Answers

Answer:

C. 4x + 2h; h ≠ 0

Step-by-step explanation:

Step-by-step explanation:

A 2-column table with 6 rows. Column 1 is labeled x with entries 1.99, 1.999, 1.9999, 2.0001, 2.001, 2.01. Column 2 is labeled f (x) with entries 0.505, negative 0.827, 0.306, negative 0.306, 0.827, negative 0.506.

Find Limit of f (x) as x approaches 2 f(x), if it exists.

2

0.3

0

DNE

what is the value of w

Answers

I think its 2..........

Can someone please help me with math.

Answers

Answer:

13.C

14.C

Step-by-step explanation:

Hello There!

For 13

The question is asking, which percentage would Darian most likely receive if he had studied for 9 hours.

The line of best fit would be used to determine the percentage he would most likely score based on the amount of hours he studied

Looking at the line of best fit we notice that at 9 hours Darian would most likely score a 78% on the test

Thus the answer is C

For 14

The question want you to find the graph that has a constant rate of change and has a y intercept of (0,0) so essentially

The question is asking "which graph best represents a proportional relationship."

If a relation is proportional it would have  a straight line and it would go through the origin (0,0)

Looking at C we notice that the line is straight ( meaning it has a constant rate of change) and it also goes through the origin therefore C is your answer

City A: {2, 2.5, 4, 4.5, 3, 2.5} City B: {6, 4, 1.5, 3.5, 2, 4} (c) What is the median for each city? Show your work. City A: City B:

Answers

Answer:

to find the median you have to put the set in order and find the middle number (ex: 1,2,3,4,5,6,7,8,9 the median of this would be 5)

Step-by-step explanation:

City A: 2,2.5,2.5,3,4,4.5

The median has 2 number so you'd add them up and divide by 2.

2.5 + 3 = 5.5

5.5/2= 2.75

i dont know if you need it as a fraction

City B: 1.5,2,3.5,4,4,6

3.5+4 = 7.5

7.5/2 = 3.75

Median for city A: 2.75

Median for city B: 3.75

6=x/4
I really need help with this

Answers

Answer:

x=24

Step-by-step explanation:

How many equal sections divide a directed line segment if it is to be partitioned with a 2:7 ratio? 2, the least number given in the ratio

2, the least number given in the ratio
14, the least common multiple of the numbers given in the ratio


9, the sum of the numbers given in the ratio


5, the difference of the numbers given in the ratio


7, the greatest number given in the ratio

Answers

9514 1404 393

Answer:

  9, the sum of the numbers given in the ratio

Step-by-step explanation:

The reduced ratio 2 : 7 means that two parts correspond to one length and 7 parts correspond to the other length. That is, there are a total of 2+7 = 9 parts in the full length of the segment.

It is convenient to think of the line segment as being divided into 9 equal parts.

_____

Additional comments

It is often helpful to consider the total number of "ratio units" in a given ratio. For example, in this problem, the shorter segment is 2/9 of the whole, and the longer one is 7/9 of the whole.

It can also be useful to consider what a "ratio unit" represents. If the whole segment is 27 inches long, then each of the 9 ratio units will represent 3 inches, for example. This means the division 2:7 is 2(3 in):7(3 in) = 6 in : 21 in.

Plsss help this is hard for me

Answers

Diameter is radius plus radius so its 14. Circumference is radius times pi which is 3. 14 so the answer for Circumference is 43.98.
Area is 153.94 the formula is A= nr to the power of two

Find the measure of angle C.
B (110°
30°
A

Answers

Explanation is in the file

tinyurl.com/wpazsebu

Consider the equation: x^2 = - 8x - 7​

Answers

Answer: The expression is not factorable with rational numbers.

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Sue has 18 sweets.
Tony also has 18 sweets.

Sue gives Tony x sweets.
Tony then eats half of his sweets.

Write expressions for the number of sweets Sue and Tony now have.​

Answers

Answer:

Sue = 18-x

Tony = (18+x)/2

Step-by-step explanation:

Sue donates x amount of sweets

Tony receives x amount of sweets then eats half of them.

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