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sashaice [31]
3 years ago
9

You work as a health inspector and must visit each of the 15 restaurants in town once each week. In how many different orders ca

n you make these inspections?
Mathematics
1 answer:
klasskru [66]3 years ago
4 0

Answer: 15!  or 1307674368000

Step-by-step explanation:

According to the permutations , if we arrange n things in order , then the total number of ways to arrange them = n!

Similarly , when health inspector inspects 15 restaurants in town once each week, the number of different orders can be made for these inspections = 15!

= 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

=1307674368000

Hence, the number of different orders can be made for these inspections = 15! =1307674368000

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in the figures below the cube shaped box is 6 inches wide and the rectangular box is 10 inches long 4 inches wide and 4 inches h
IRINA_888 [86]
<span>The cube’s sides measures 6 inches and the measurement for the rectangular box is that it is 10 inches long, 4 inches thick and 4 inches high. To compute for the volume of a cube you must use the formula of V = a3 and for the rectangular prism is V = l x w x h.</span>
<span>Cube:    V = 6^3
</span>              <span>V = 216 inches^3</span>
<span>Rectangular Prism:       V = 10 x 4 x 4</span> <span>             
                                       V = 160 inches^3</span>
To identify how much greater the volume the cube from the rectangular box we subtract their volumes.
N = C – R where N stands for the unknown C for the volume of cube and R for the volume of Rectangular Box <span>
N = 216 inches^3 – 160 inches^3
</span> <span>N = 56 inches^3</span> <span>
So the cube is 56 inches3 greater than the rectangular box.</span>


4 0
3 years ago
Read 2 more answers
angles FGH and angles PQR are vertical angles. If angles FGH is 29, what is the measure of angles PQR?
steposvetlana [31]

Answer:

< PQR = 61°

Step-by-step explanation:

Hope this helps:)

3 0
2 years ago
If Pablo works 9 hours and receives $800 what would he revive for working 5 hours?
nlexa [21]
9 hours received $800

1 hour will be = $800/9

If he had worked 5 hours would receive:  $800/9 * 5 ≈ $444.44

He would receive ≈ $444.44
6 0
3 years ago
15, 11, 7, 3, -1, ... explicit formula and recursive formula
monitta

Recursive formula is: a_n = a_{n-1} -4

Explicit formula is: a_n = 19-4n

Step-by-step explanation:

Given sequence is:

15,11,7,3,-1

Here

a_1 = 15\\a_2 = 11\\a_3 = 7

First of all, we have to find the common difference

Common difference is the difference between consecutive terms of an arithmetic sequence

So,

d = a_2-a_1 = 11-15 = -4\\d = a_3-a_2 = 7-11 = -4

<u>Recursive Formula:</u>

A recursive formula is used to find the next term of an arithmetic sequence using previous term and common difference

General form of recursive formula for a given common difference d is:

a_n = a_{n-1} + d

Putting the value of d

a_n = a_{n-1} -4

<u>Explicit Formula:</u>

The explicit formula is given by:

a_n = a_1 + (n-1)d

Putting the first term and common difference

a_n = 15 + (n-1)(-4)\\a_n = 15 -4n+4\\a_n = 19-4n

Hence,

Recursive formula is: a_n = a_{n-1} -4

Explicit formula is: a_n = 19-4n

Keywords: Arithmetic sequence, common difference

Learn more about arithmetic sequence at:

  • brainly.com/question/726990
  • brainly.com/question/725998

#LearnwithBrainly

4 0
3 years ago
What goes in to 37 and 100?
aleksandr82 [10.1K]
Can you retype this question in another form? like are you asking for the prime numbers?
7 0
3 years ago
Read 2 more answers
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