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victus00 [196]
3 years ago
9

Expand (x^2-3/2)^9 using binomial process

Mathematics
1 answer:
BaLLatris [955]3 years ago
8 0
Use the Binomial expansion theorem to find and simplify each term.

x^{18} - \frac{ 27x^{6} }{2}+ 81x^{14}- \frac{ 567x^{12} }{2}+ \frac{ 5103x^{10} }{16}- \frac{ 15309x^{8} }{16}+ \frac{ 15309x^{6} }{16} - \frac{ 59049x^{2} }{256}-\frac{19683}{512}

Man that was a lot to type out, hopefully i helped, and Gosh I hope I get a brainly for all that freaking typing. hehe~ ^.^
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Two trains leave a town at the same time heading in opposite directions. One train is traveling 12 mph faster than the
klemol [59]

Answer:

I'm going to paint you a picture in words of what this looks like on paper.  We have a train leaving from a point on your paper heading straight west.  We have another train leaving from the same point on your paper heading straight east.  This is the "opposite directions" that your problem gives you.  

Now let's make a table:

                distance       =        rate      *       time

Train 1

Train 2

We will fill in this table from the info in the problem then refer back to our drawing.  It says that one train is traveling 12 mph faster than the other train.  We don't know how fast "the other train" is going, so let's call that rate r.  If the first train is travelin 12 mph faster, that rate is r + 12.  Let's put that into the table

              distance        =        rate        *        time

Train 1                                        r

Train 2                                    (r + 12)

Then it says "after 2 hours", so the time for both trains is 2 hours:

         

              distance        =        rate        *        time

Train 1                                        r           *          2

Train 2                                  (r + 12)       *          2

Since distance = rate * time, the distance (or length of the arrow pointing straight west) for Train 1 is 2r.  The distance (or length of the arrow pointing straight east) for Train 2 is 2(r + 12) which is 2r + 24.  The distance between them (which is also the length of the whole entire arrow) is 232.  Thus:

2r + 2r + 24 = 232 and

4r = 208 so

r = 52

This means that Train 1 is traveling 52 mph and Train 2 is traveling 12 miles per hour faster than that at 64 mph

Step-by-step explanation:

3 0
3 years ago
Point w is located ar -5,-3 select all of the following that are 5 units from w​
BaLLatris [955]
A and B are both 5 units from it
7 0
2 years ago
What is 0.98 rounded to the nearest thousandth?
aksik [14]
0.98 is already rounded
it may also be asking for 0.980, which is equal but shows the thousandth place
6 0
3 years ago
15 POINTS! PLEASE HELP! BRAINLIEST!
lina2011 [118]

Answer:

  • D.  15.3%

Step-by-step explanation:

<u>Total number of outcomes:</u>

  • 2¹⁵ =  32768

<u>Number of combinations of getting 6 heads:</u>

  • 15C6 = 15!/6!(15-6)! = 5005

<u>Required probability is:</u>

  • P(6 heads out of 15 flips) = 5005/32768 = 0.1527... ≈ 15.3%

Correct choice is D

7 0
2 years ago
Read 2 more answers
I need this answer following the order of operation. Please help!
natita [175]

Answer:

The answer to the question provided is 1.

8 0
3 years ago
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