1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lianna [129]
3 years ago
14

Evaluate. 5!4! = [?]

Mathematics
2 answers:
Akimi4 [234]3 years ago
7 0
The Answer Is One.
Because I Learn !=meaning (-)
Lady_Fox [76]3 years ago
5 0

Answer:

2880

Step-by-step explanation:

!

in mathematics means factorial.

What is factorial?

Factorial is the product of an integer and all below it to  

1

n

!

=

n

⋅

(

n

−

1

)

!

for  

n

≥

1

or simply  

n

!

=

1

⋅

2

⋅

3

⋅

...

n

Notice that  

0

!

is defined as  

1

by mathematicians as it is the empty product.

So for  

5

!

, we have

5

!

=

5

⋅

(

5

−

1

)

!

 

⇒

5

!

=

5

⋅

4

!

5

!

=

5

⋅

4

⋅

(

4

−

1

)

!

 

⇒

5

!

=

5

⋅

4

⋅

3

!

5

!

=

5

⋅

4

⋅

3

⋅

(

3

−

1

)

!

 

⇒

5

!

=

5

⋅

4

⋅

3

⋅

2

!

5

!

=

5

⋅

4

⋅

3

⋅

2

⋅

(

2

−

1

)

!

 

⇒

51

=

5

⋅

4

⋅

3

⋅

2

⋅

1

!

But,  

1

!

=

1

⋅

(

1

−

1

)

!

Which is  

1

!

=

1

⋅

0

!

and  

0

!

=

1

Finally,

⇒

5

!

=

5

⋅

4

⋅

3

⋅

2

⋅

1

That is the pattern, so  

n

!

=

n

⋅

(

n

−

1

)

!

 

...

1

!

until you get to  

1

!

Or simply;  

n

!

=

1

⋅

2

⋅

3

⋅

...

n

∴

5

!

4

!

=

(

5

⋅

4

⋅

3

⋅

2

⋅

1

)

⋅

(

4

⋅

3

⋅

2

⋅

1

)

⇒

120

⋅

24

=

2880

You might be interested in
Please answer!!!! will make brainliest!!!
hammer [34]

Answer:

B

Step-by-step explanation:

1.

  • 3(x+3) - 2 < 4
  • 3x + 9 -2 < 4
  • 3x < 4-7
  • 3x < - 3
  • x < -1
  • x = (-oo, -1)

2.

  • 1 - x ≤ -1
  • - x ≤ -1 - 1
  • -x ≤ -2
  • x ≥ 2
  • x = [2, +oo)

Correct choice is B.

7 0
3 years ago
If $380 is invested for one year at 13% simple interest, how much interest is earned?
pashok25 [27]

Answer: $49.4

Step-by-step explanation:

Simple interest is calculated thus:

Principal × Rate × Time

Principal= $380

Rate= 13%= 13/100=

Time= 1

Therefore interest earned =380× 0.13×1

=$49.4

7 0
3 years ago
a hat contains 3 blue and 5 black tickets. if one ticket is chosen at random from the hat what is the probability that it is blu
Nikitich [7]

Answer:

3/8

Step-by-step explanation:

3/(3 + 5) = 3/8

3 0
2 years ago
The population of a town grows exponentially. After 1 year, the population is 34,560. After 2 years, the population is 37,325. W
Vladimir [108]
Exponential growth has the form:

F=Ir^t, F=final amount, I=initial amount, r=rate, t=time.

First let's solve for the rate, r, using the points provided...

37325/34560=(Ir^2)/(Ir^1)

r≈1.08  

Now find the initial amount...

34560=I(1.08)^1

I=32000 so now we have the entire equation, using x and y...

y=32000(1.08)^x

6 0
2 years ago
Read 2 more answers
How is place value used to model and find products when multiplying 2 digit numbers?
Aleksandr-060686 [28]

Answer:

1 x 4=4 (Both numbers are in the ones place, so their value are ones.)

Step-by-step explanation

In order to use place value to multiply, we use the distributive property to break apart each place. Always begin with the ones place. We can break apart a 2-digit by 1-digit number into 2 simpler problems. 1 x 4=4 (Both numbers are in the ones place, so their value are ones.)

6 0
3 years ago
Other questions:
  • Please help! ill mark you as brainleist if you get it correct!​
    7·2 answers
  • Five more than twice als shoe size is 29 what is als shoe size
    13·2 answers
  • you spend $90 on books and movies. You pay $12 per book and $15 pr movie. YOu buy 3 more books than movies. How many of each ite
    10·1 answer
  • What is the rate between 78 miles and 3 gallons of gas
    15·1 answer
  • Which of the following variables for data about a track team is a discrete variable?a) The height of a team memberb) The weight
    12·1 answer
  • 3/5 divided by 1/4 as a word problem
    8·1 answer
  • Alex counted to 2400 by 6's beginning with 6. Matthew counted to 2400 by 4's starting with 4. How many of the numbers counted by
    11·1 answer
  • Are 5(8y - 8) and 40y - 40 equal?​
    10·1 answer
  • The question is on the image<br>​
    5·1 answer
  • The first three terms in a pattern are shown in the
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!