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Svetradugi [14.3K]
3 years ago
14

A classic counting problem is to determine the number of different ways that the letters of “dissipate” can be arranged. Find th

at number
Mathematics
1 answer:
alexdok [17]3 years ago
6 0

Answer:

90720 ways

Step-by-step explanation:

Since there are 9 letters, there are 9! ways to arrange them. However since there are repeating letters, we have to divide to remove the duplicates accordingly. There are 2 ‘s’ and 2 ‘i’ hence:

Number of way to arrange ‘dissipate’ = 9! / (2! x 2!) = 90720 ways

Hence there are 90720 ways to have the number of dissipate in the letter.

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Solve the following word problems.
aleksandr82 [10.1K]

Answer:

Step-by-step explanation:

Let a , b , c & d be the no. of chairs in hall A , B , C & D respectively.

Given,

b = 4a

c = a + 15

d = a + 8 + 4a = 5a + 8

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Total no. of chairs (T) = a + b + c + d

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                                   = 11a + 23

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3 years ago
Identify two angles that are marked congruent to each other on the diagram below.
Katena32 [7]

Answer:

  ∠ADB ≅ ∠CBD

Step-by-step explanation:

The three arcs at each of D and B identify congruent angles. However, the angles cannot be identified by their vertices alone. The 3-letter designations of the congruent angles are ...

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6 0
3 years ago
Which graph best represents the relationship between time and the number of teams registered?
alexdok [17]
<h2>Explanation:</h2><h2></h2>

The complete question is in the attached file. So we have to choose between two graphs. On of them is a linear model while the other is an exponential model. From the statements, we have a relationship between time and the number of teams registered. So we can establishes variables in the following form:

x:\text{Time} \\ \\ y:\text{Number of teams registered}

We also know that each week 6 teams register to participate, so:

\bullet \ \text{For week 0:} \rightarrow \text{0 teams registered} \\ \\ \bullet \ \text{For week 1:} \rightarrow \text{6 teams registered} \\ \\ \bullet \ \text{For week 2:} \rightarrow \text{12 teams registered (Because 6+12)} \\ \\ \bullet \ \text{For week 3:} \rightarrow \text{18 teams registered (Because 12+6)}

As you can see, as x increases one week, y increases at a constant ratio of 6. Therefore, this can be modeled by a linear function given by the form:

y=6x

In conclusion, <em>the linear model (first graph below) is the one that bests represents  the relationship between time and the number of teams registered.</em>

7 0
4 years ago
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