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Lesechka [4]
3 years ago
14

I don't see the choice here?? Maybe I'm just wrong but I don't know (question 3)

Mathematics
1 answer:
VMariaS [17]3 years ago
3 0
I think I would be (2)
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Find the term indecent of x in the expansion of (x^2-1/x)^6
Mars2501 [29]

By the binomial theorem,

\displaystyle \left(x^2-\frac1x\right)^6 = \sum_{k=0}^6 \binom 6k (x^2)^{6-k} \left(-\frac1x\right)^k = \sum_{k=0}^6 \binom 6k (-1)^k x^{12-3k}

I assume you meant to say "independent", not "indecent", meaning we're looking for the constant term in the expansion. This happens for k such that

12 - 3k = 0   ===>   3k = 12   ===>   k = 4

which corresponds to the constant coefficient

\dbinom 64 (-1)^4 = \dfrac{6!}{4!(6-4)!} = \boxed{15}

3 0
3 years ago
A paint box contains 12 bottles of different colors. If we choose equal quantities of 3 different colors at random, how many col
Luden [163]

Answer:

C

Step-by-step explanation:

You are choosing 3 from a total of 12. Order does not matter. So you are working with combinations. The answer symbolically is

12C3

12C3 = 12!/(9!3!)

12C3 = 12 * 11 * 10 * 9!/(9! 3!)

12C3 = 12 * 11 * 10/6

12C3 = 2 * 11 * 10

12C3 = 220

8 0
4 years ago
Read 2 more answers
The measure of two supplementary angles are in the ratio 4 5 find the degree measures of the angles
Katen [24]
Supplementary angles add to 180
4+5=9

180/9=20

4*20=80
5*20=100
the angles are 80 degrees and 100 degrees
8 0
3 years ago
PLEASE HELP IM TIMED NO LINKS OR FILES THESE ARE NOT FREE POINTS WILL REPORT, ALSO I WILL GIVE BRAINLISET TO FIRST PERSON THAT A
Alex777 [14]

Answer:

t=-28

Step-by-step explanation:

4 0
3 years ago
Write the distance from the Sun for each planet using scientific notation.
vova2212 [387]

Answer:

The sun is 9.2549 x 10^-7 miles from the earth

NOTE: I don't know how many significant figures you are needing/given.

Step-by-step explanation:

The earth is 92.549 million miles from the sun.

92 549 000 miles from the sun.

Move the decimal place left until you're right after the first significant figure.

9.2549 x 10^-7

8 0
3 years ago
Read 2 more answers
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