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Dvinal [7]
3 years ago
7

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Mathematics
1 answer:
EleoNora [17]3 years ago
6 0
Aaa a aa aaaaa a aaa
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What is the coefficient of the x5y5-term in the binomial expansion of (2x – 3y)10? 10C5(2)5(3)5 10C5(2)5(–3)5 –10C5(2)5(–3)5 10C
butalik [34]

ANSWER

10C_5(2)^{5}( - 3)^5

EXPLANATION

The given binomial expansion is:

{(2x - 3y)}^{10}

Compare this to

{(a + b)}^{n}

we have a=2x , b=-3y and n=10

We want to find the coefficient of the term

{x}^{5}  {y}^{5}

This implies that, r=5.

The terms in the expansion can be obtained using

T_{r+1}=nC_ra^{n-r}b^r

We substitute the given values to obtain;

T_{5+1}=10C_5(2x)^{10-5}(  - 3y)^5

T_{6}=10C_5(2x)^{5}(3y)^5

T_{6}=10C_5(2)^{5}( - 3)^5 {x}^{5}  {y}^{5}

Hence the coefficient is;

10C_5(2)^{5}( - 3)^5

5 0
3 years ago
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Convert 6 yards into meters. Round your answer to the nearest tenth.
Helga [31]

Answer:

5.4864

Step-by-step explanation:

to the nearest tenth probably 0.5

6 0
3 years ago
How to simplify fractions ti its lowest terms
inn [45]
Divide the top number and the bottom number by a number they both have in common
3 0
3 years ago
Sally has 300 tangerines and and and 3%are Wayne's what percent does Sally have
marishachu [46]

Answer:

The answer is 97%

Step-by-step explanation:

To answer this problem you need to take the 300 tangerines, it in all that is the 100% so, now you need to take away the 3%, you are left with 97% (I hope i'm correct, sorry if i'm not)

5 0
2 years ago
Express 7 square as the sum of two consecutive positive numbers.
Alborosie

Answer:

24 and 25

Step-by-step explanation:

From given, we have,

7 square = 49

Let the first positive number be = x

And the second consecutive positive number is = x+1

x + (x + 1) = 49

2x + 1 = 49

2x = 49 - 1

2x = 48

x = 24

the first number x = 24

the second consecutive number x+1  = 24 + 1 = 25

Thus, 7 square = 24 + 25 (the sum of two consecutive positive numbers.)

3 0
2 years ago
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