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Strike441 [17]
3 years ago
13

How many ternary (0, 1, 2) sequences of length 10 are there without any pair of consecutive digits the same?

Mathematics
1 answer:
Iteru [2.4K]3 years ago
4 0

There are 10 spaces then the first space will be <span><span>(3,1</span></span>), the second one cannot be the same as the first one so it will have to be (2,1).

So it will come down to <span><span>3×2^9</span></span>

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What’s the total area of a rectangular prism with a height of 17 feet, a width of 12feet, and a thickness of 10feet?
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Answer:

988 feet________________

8 0
3 years ago
Whats would the slope of (-3,10),(-5,-4) coordinates be?
valentina_108 [34]

Answer:

The slope is 7.

Step-by-step explanation:

Let the given points are (p, q)= (-3, 10) & (r, s) =(-5, -4).

Then the slope (m) = (s-q)/(r-p)

⇒ m = (-4 -10)/(-5-(-3))

⇒ m = (-14) / (-5 +3)

⇒ m = -14/- 2

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Hence the slope is m =7 .

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3 years ago
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3 years ago
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What is the smallest and largest perimeter of a polygon with an area of 20?
DENIUS [597]

Answer:

The polygon with the smallest perimeter is the megagon

The polygon with the largest perimeter is the triangle

Step-by-step explanation:

An equilateral triangle with area = 20 has

0.5× a²×sin60 = 20

a= 6.796

Hence, perimeter = 20.39

A square of area 20 has perimeter= 4×√20 = 17.9

A regular pentagon of area = 20 has perimeter = 3.41 × 5 = 17.05

Hence as the number of sides is increasing, the ratio of the Area to the Perimeter also increases

Therefore, a triangle has the largest perimeter with an area of 20 while a megagon with a million sides has the smallest perimeter with an area of 20.

4 0
3 years ago
Evaluate the expression 15x plus 4 for x equals -1 1/2
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Answer:

- \frac{11}{30}

Step-by-step explanation:

15x + 4 = -1\frac{1}{2}

15x = -5\frac{1}{2}

x = -\frac{11}{2} × \frac{1}{15}

x = - \frac{11}{30}

5 0
3 years ago
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