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yuradex [85]
3 years ago
12

What's an area model

Mathematics
1 answer:
vesna_86 [32]3 years ago
4 0
Area model is where the length and width are put together using either multiplication, percentage or fractions to find the size of an area.
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If n is a positive integer, how many 5-tuples of integers from 1 through n can be formed in which the elements of the 5-tuple ar
sleet_krkn [62]

This question is incomplete, the complete question is;

If n is a positive integer, how many 5-tuples of integers from 1 through n can be formed in which the elements of the 5-tuple are written in increasing order but are not necessarily distinct.

In other words, how many 5-tuples of integers  ( h, i , j , m ), are there with  n ≥ h ≥ i ≥ j ≥ k ≥ m ≥ 1 ?

Answer:

the number of 5-tuples of integers from 1 through n that can be formed is [ n( n+1 ) ( n+2 ) ( n+3 ) ( n+4 ) ] / 120

Step-by-step explanation:

Given the data in the question;

Any quintuple ( h, i , j , m ), with n ≥ h ≥ i ≥ j ≥ k ≥ m ≥ 1

this can be represented as a string of ( n-1 ) vertical bars and 5 crosses.

So the positions of the crosses will indicate which 5 integers from 1 to n are indicated in the n-tuple'

Hence, the number of such quintuple is the same as the number of strings of ( n-1 ) vertical bars and 5 crosses such as;

\left[\begin{array}{ccccc}5&+&n&-&1\\&&5\\\end{array}\right] = \left[\begin{array}{ccc}n&+&4\\&5&\\\end{array}\right]

= [( n + 4 )! ] / [ 5!( n + 4 - 5 )! ]

= [( n + 4 )!] / [ 5!( n-1 )! ]

= [ n( n+1 ) ( n+2 ) ( n+3 ) ( n+4 ) ] / 120

Therefore, the number of 5-tuples of integers from 1 through n that can be formed is [ n( n+1 ) ( n+2 ) ( n+3 ) ( n+4 ) ] / 120

4 0
3 years ago
What is the volume of the rectangular prism?
11Alexandr11 [23.1K]
The volume is 288

because V = w h l = 6•4•12 = 288
8 0
2 years ago
WHAT IS 1+1 <br><br><br> If u get it right tell me;) good luck
ella [17]

Answer:

4

Step-by-step explanation:

;)

4 0
2 years ago
Read 2 more answers
If f(×) = 3x + 7, which of these is the inverse of f(x)?​
Snowcat [4.5K]

Answer:

First equate 3x + 7 to any unknown

3x + 7 = P

Then make x the subject of the formula

3x + 7 = P

3x + 7-7= P-7

3x = P-7

3x ÷ 3 = (P-7) ÷ 3

x = (P-7) ÷3

Then interchange x with the unknown which I have as P

x = (P-7) ÷ 3

P = (x-7) ÷ 3

Then inverse of f(x)

is;

f-1(x) = (x-7) ÷ 3

Thank you.

BY GERALD GREAT.

5 0
2 years ago
Brainliest and points!!
bezimeni [28]

Answer:

5

Step-by-step explanation:

1 x 5 = 5

5 x 5 = 25

25 x 5 = 125

125 x 5 = 625

and so on and so on

5 + 5 = 10 5 + 5 = 10

10 + 10 = 20

20 + 5 = 25

7 0
3 years ago
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