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alexandr402 [8]
3 years ago
12

Using the expansion for the binomial: ( x^3 − y^4 )^9 :The coefficient for the 6th term is

Mathematics
1 answer:
Lelechka [254]3 years ago
8 0

Answer:

-126

Step-by-step explanation:

For the binomial expression  (a-b)^{n} the coefficient of (r+1)^{th} term is given by {n \choose r} \times -1^{(r)}.

We have to find the coefficient of 6th term in the binomial expansion of

(x^{3}-y^{4})^{9}.

Hence n=9 and r=5

The coefficient of 6th term = {9 \choose 5} \times (-1)^{5}

                                             = -{9 \choose 5}

                                             = -126

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2 years ago
A<br> A<br><br> B<br> B<br><br> C<br> C<br><br> D<br> D<br> Skip to navigation
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Answer:A B C D

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3 years ago
4. Write 0.5% as a fraction.
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4. A
5. D
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7 0
3 years ago
Read 2 more answers
Item 14<br> Find the missing dimension. Use the scale factor 1 : 12.
Vitek1552 [10]

Answer:

3.84m

Step-by-step explanation:

If the scale for this Water tower is 1 : 12 then this means that for every 1cm of the model, the actual water tower has 12cm. Therefore, in order to find the actual depth of the water tower we first need to multiply the depth of the model by 12.

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7 0
2 years ago
Simplify
ivolga24 [154]
The correct answer is:  [A]:  " \frac{8}{729} " .
_________________________________________________________
Explanation:
_________________________________________________________
We are asked to simplify:

                  →    (\frac{2}{9})^3   

_________________________________________________________
Note the following property of exponents:
_________________________________________________________

( \frac{a}{b})^n  =  \frac{(a^n)}{(b^n)} ;  { b \neq0 } . 

_________________________________________________________
As such:

→  ( \frac{2}{9})^3  ;

                 
 =
\frac{2^3}{9^3} = \frac{(2*2*2)}{(9*9*9)} =  \frac{8}{729} .

_____________________________________________________________


The answer is:  
" \frac{8}{729} "  ; 

→  which is:  "Answer choice:  [A]:  " \frac{8}{729} " . 
_____________________________________________________________
Hope this answer—and explanation—is of some help to you.
  Please comment below or otherwise respond to me if you have any questions or if I can be of further assistance.
     Best wishes!
5 0
3 years ago
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