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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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If you are examining a triangle with given measurements for one leg and the hypotenuse, how will you determine the measure of th
horrorfan [7]
You will use a2+b2=c2 (squared).The leg will represent the a2 or either b2 and the hypotenuse will be the c2.After filling in the variables you will then subtract the a2 which is the leg from the c2 which is the hypotenuse.And then you will factor it or square root it.If you square root it and it’s not a feasible answer then use the Christmas tree or birthday cake method to factor the answer and then you’ll have the value of b2 which is the unknown leg.
8 0
2 years ago
Read 2 more answers
Write a polynomial in standard form that represents the area of the shaded region.
mr_godi [17]

Area of rectangle is 2x^2+x-45

Step-by-step explanation:

Given:

Length of rectangle = 2x-9

Width of rectangle = x+5

Required:

Area of rectangle

Formula:

Area\,\,of\,\,rectangle=Length*Width

Putting values of length and width:

Area\,\,of\,\,rectangle=Length*Width\\Area\,\,of\,\,rectangle=(2x-9)(x+5)\\Area\,\,of\,\,rectangle=2x(x+5)-9(x+5)\\Area\,\,of\,\,rectangle=2x^2+10x-9x-45\\Area\,\,of\,\,rectangle=2x^2+x-45

So, Area of rectangle is 2x^2+x-45

Keywords: Area of rectangle

Learn more about Area of rectangle at:

  • brainly.com/question/3411756
  • brainly.com/question/6837543
  • brainly.com/question/4713715
  • brainly.com/question/6564657

#learnwithBrainly

3 0
3 years ago
This is timed and Will mark BRAINLIEST!!!
gulaghasi [49]

Answer:

the last one with 2y in the denominator

3 0
2 years ago
Dylan purchased a new car in 1993 for $26,300. The value of the car has been depreciating exponentially at a constant rate. If t
emmainna [20.7K]

The predicted value of the car in the year 2006 to the nearest dollar would be  $651.

<h3>What is the predicted value of the car?</h3>

The first step is to determine the rate of depreciation

g = (FV/PV)^(1/n) - 1

Where:

FV = value of the car in 2001

PV = value of the car in 1993

n = number ofyears = 8

(2700/26,300)^(1/8) - 1  = -24.76%

Now determine the value of the car in 2006

2700x ( 1 - 0.2476)^5 = $651

To learn more about depreciation, please check: brainly.com/question/25552427

8 0
2 years ago
The variables y and x have a proportional relationship, and y = 5 when x = 4.
Tema [17]

Given is -

The variables y and x have a proportional relationship, and y = 5 when x = 4.

\frac{y}{x}=\frac{5}{4}

As we have to find the value of x when y= 8 so putting y = 8 in the above relationship, we get :

\frac{8}{x}=\frac{5}{4}

5x=32

x=6.4

Hence, the answer is 6.4

8 0
2 years ago
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