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Triss [41]
2 years ago
9

Suppose that a 2 by 10 rectangular grid of seats is filled with people. On the

Mathematics
1 answer:
weeeeeb [17]2 years ago
5 0

688,747,536 ways in which the people can take the seats.

<h3></h3><h3>How many ways are there for everyone to do this so that at the end of the move, each seat is taken by exactly one person?</h3>

There is a 2 by 10 rectangular greed of seats with people. so there are 2 rows of 10 seats.

When the whistle blows, each person needs to change to an orthogonally adjacent seat.

(This means that the person can go to the seat in front, or the seats in the sides).

This means that, unless for the 4 ends that will have only two options, all the other people (the remaining 16) have 3 options to choose where to sit.

Now, if we take the options that each seat has, and we take the product, we will get:

P = (2)^4*(3)^16 = 688,747,536 ways in which the people can take the seats.

If you want to learn more about combinations:

brainly.com/question/11732255

#SPJ!

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An advertising company is designing a new logo that consists of a shaded triangle inside a parallelogram.What is the area, in sq
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<h2>Explanation:</h2><h2 />

The complete question is shown in the figure below. As you can see one square units is well shown in the graph. So we can conclude that the distance between two consecutive points is 1 unit. If so, then we can calculate the area of the parallelogram as follows:

A=b\times h \\ \\ A:Area \\ \\ b:Base \\ \\ h:Height \\ \\ \\ CB=b \\ \\ AB=h

Then, finding CB by Pythagorean Theorem:

CB=\sqrt{6^2+4^2} \\ \\ CB=2\sqrt{13}

And:

AB=4

Therefore:

A=(2\sqrt{13})(4) \\ \\ \boxed{A=8\sqrt{13} \ units^2}

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3 years ago
Mandy and her mom are making homemade play-dough. Besides the flour, the recipe calls for 1/4 cup of salt for every 3/4 cup of w
prisoha [69]

Answer:

about a half teaspoon

Step-by-step explanation:

4 0
3 years ago
Question 10 of 10
sertanlavr [38]
The terminal point of the circle is D
8 0
3 years ago
Read 2 more answers
Help asap giving Brainlist!!!
Rzqust [24]

Answer:

1st question

A) no the table does not represent a linear function

B) the slope ( average rate of change)is 2

2nd question

A) yes the table represent a linear function

B) the slope( average rate of change) is 6

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5 0
3 years ago
Alyssa takes part in the triathlon. She cycles 4/5 of the route, runs 7/8 of the route, and swims the rest of the way. She swims
hjlf

Answer:

12 miles

Step-by-step explanation:

Alyssa takes part in the triathlon. She cycles 4/5 of the route, runs 1/8 of the route, and swims the rest of the way. She swims 0.9 miles. Find the total distance of the triathlon route.

Total distance Alyssa cycled and ran =

\frac{4}{5} + \frac{1}{8}

\frac{32 + 5}{40} = \frac{37}{40}

Distance she swam =  1 - 37/40 = 3/40

3/40 of the distance is 0.9

the total distance = 40/3 x 0.9 = 12 miles

3 0
2 years ago
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