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valkas [14]
3 years ago
8

In how many ways can the letters in the word infinity be arranged?

Mathematics
2 answers:
serg [7]3 years ago
7 0

There are eight letter in INFINITY

So, it would be 8P7 = 8!/(8-7)! = 8!/1! = 8*7*6*5*4*3*2 = 40320

So, your answer is 40320

kicyunya [14]3 years ago
7 0
You can consider the above answer... I agree with that
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Use the identity (x^2+y^2)^2=(x^2−y^2)^2+(2xy)^2 to determine the sum of the squares of two numbers if the difference of the squ
marissa [1.9K]

Answer:

Step-by-step explanation:

(x^2+y^2)^2=(x^2)^2+2x^2y^2+(y^2)^2

Adding and substracting 2x^2y^2

We get

(x^2+y^2)^2=(x^2)^2+2x^2y^2+(y^2)^2 +2x^2y^2-2x^2y^2

And we know a^2-2ab+b^2=(a-b)^2

So we identify (x^2)^2 as a^2 ,(y^2)^2 as b^2 and -2x^2y^2 as - 2ab. So we can rewrite (x^2+y^2)^2=(x^2 - y^2)^2 + 2x^2y^2 + 2x^2y^2= (x^2 - y^2)^2+4x^2y^2= (x^2 - y^2)^2+2^2x^2y^2

Moreever we know (a·b·c)^2=a^2·b^2·c^2 than means 2^2x^2y^2=(2x·y)^2

And (x^2+y^2)^2=(x^2 - y^2)^2 + (2x·y)^2

5 0
3 years ago
Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total
ololo11 [35]

Answer:

Step-by-step explanation:

c + f = 16......c = 16 - f

340c + 910f = 9430

340(16 - f) + 910f = 9430

5440 - 340f + 910f = 9430

-340f + 910f = 9430 - 5440

570f = 3990

f = 3990/570

f = 7 <====== 7 first class tickets bought

c + f = 16

c + 7 = 16

c = 16 - 7

c = 9 <====== 9 coach tickets bought

3 0
3 years ago
Find the volume of the figure
mina [271]

Answer:

It is C. 233 because if you multiply 5x5x5 thats 125

If you multiply 12x3x3, its 108. So add 108+125 and that will be your final answer. Hope this helps and if so then please mark as brainliest. Remember that volume= length x width x height.

7 0
3 years ago
Read 2 more answers
What is the equation of a line that is parallel to -x+3y=6 and passes through the point (3,5)?
Elena-2011 [213]

For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

Where:

m: It's the slope

b: It is the cut-off point with the y axis

By definition, if two lines are parallel then their slopes are equal.

We have the following line:

-x + 3y = 6\\3y = x + 6\\y = \frac {1} {3} x + \frac {6} {3}\\y = \frac {1} {3} x + 2

Thus, the slope is:m_ {1} = \frac {1} {3}

Then m_ {2} = \frac {1} {3}

So, the line is of the form:

y = \frac {1} {3} x + b

We substitute the point(x, y) :( 3,5)and find b:

5 = \frac {1} {3} (3) + b\\5 = b

Thus, the equation is:

y = \frac {1} {3} x + 5

Answer:

y = \frac {1} {3} x + 5

5 0
2 years ago
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sergeinik [125]

Answer:

46.8

Step-by-step explanation:

3 0
2 years ago
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