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Liono4ka [1.6K]
3 years ago
5

How many different arrangements of the letters in the word PARALLEL are there ?Type a numerical answer in the space

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
8 0

See https://web2.0calc.com/questions/help_55278.

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Expand using pascal triangle (3x+2)^4
Liula [17]

Answer:

The answer is

<h3>81x⁴ + 216x³ + 216x² + 94x + 16</h3>

Step-by-step explanation:

(3x + 2)⁴

<u>Using the Pascal's triangle</u>

For an exponent of 4 we have

( a + b)⁴ = a⁴ + 4a³b + 6a²b² + 4ab³ + b³

Using a = 3x and b = 2 we have

( 3x +2)⁴ = ( 3x)⁴ + 4 [ (3x)³(2) ] + 6[ (3x)²(2)²] + 4 [ 3x(2)³ ] + 2⁴

Expand and simplify

That's

➢ ( 3x +2)⁴ = 81x⁴ + 4[ (27x³)(2) ] + 6 [ (9x²)(4) ] + 4 [ 3x(8) ] + 16

➢ 81x⁴ 4( 54x³) + 6(36x²) + 4( 24x) + 16

We have the final answer as

<h3>81x⁴ + 216x³ + 216x² + 94x + 16</h3>

Hope this helps you

6 0
3 years ago
The perimeter of a rectangle is 7.2 feet. The width is 1.2 feet. What is the length?
Fiesta28 [93]
The length is 2.4

1.2 times 2 to take away the both width sides
minutes 2.4 from 7.2 you get 4.8 then divide by two because it’s a rectangle it has to length side and you get 2.4
3 0
3 years ago
Read 2 more answers
What is 4 divided into 3 1/3
ipn [44]

Answer:

1 1/5

Step-by-step explanation:


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3 years ago
What is the opposite of 12.1
nikklg [1K]
The opposite of 12.1 is 12.2
8 0
3 years ago
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3+ FREE)vvfffffddhfbfbbfbfbfjffh
Deffense [45]

Answer:

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Step-by-step explanation:

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7 0
2 years ago
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