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denis23 [38]
2 years ago
7

What is the product of a,b, and c?

Mathematics
1 answer:
Yuri [45]2 years ago
6 0

Answer:

abc =  -  \frac{16}{3}

Step-by-step explanation:

{x}^{ - 2}  {y}^{3}  \sqrt[3]{ 64{x}^{5}  {y}^{3} }  = a {x}^{b}  {y}^{c}  \\  \\  {x}^{ - 2}  {y}^{3}   \times 4 \times  {x}^{ \frac{5}{3} }   \times y= a {x}^{b}  {y}^{c}   \\  \\ 4 {x}^{ \frac{5}{3} - 2 }  {y}^{3 + 1}  = a {x}^{b}  {y}^{c}   \\  \\ 4 {x}^{ \frac{5 - 6}{3} }  {y}^{4}  = a {x}^{b}  {y}^{c}   \\  \\ 4 {x}^{ \frac{ - 1}{3} }  {y}^{4}  = a {x}^{b}  {y}^{c}   \\  \\ equating \: like \: terms \: on \: both \: sides \\  \\ a = 4 \\  \\ b =   - \frac{1}{3}  \\  \\ c = 4 \\  \\ abc = 4 \times ( -  \frac{1}{3} ) \times 4 \\  \\  = 16 \times ( -  \frac{1}{3} ) \\  \\ abc =  -  \frac{16}{3}

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Simplify completely x^2+4x-45 / x^2+10x+9
S_A_V [24]

Answer: x - 5/x + 1

Step-by-step explanation:

This algebraic fraction

The task to be performed here is factorisation and simplification. Now going by the question,

x² + 4x - 45/x² + 10x + 9, the factorisation of

x² + 4x - 45 = x² + 9x - 5x - 45

= x(x + 9 ) - 5(x + 9 )

= ( x + 9 )(x - 5 ), don't forget this is the algebraic fraction's Numerator

The second part

x² + 10x + 9 = x² + x + 9x + 9

= x(x + 1) + 9( x + 1 )

= ( x + 9 )( x + 1 ), this is the algebraic denominator.

Now place the second expression which is the denominator under the first expression which is the numerator.

( x + 9 )( x - 5 )/( x + 9 )( x + 1 ).

You can see that, ( x + 9 )/( x + 9 ) divide each other , therefore therr then cancelled and left with

x - 5/x + 1

4 0
3 years ago
Find the surface area of a rectangular prism that has the following dimensions.
Shalnov [3]
2(wl+hl+hw)=2·(14·2+11·2+11·14)=408
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3 years ago
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How many triangles of any size are there in a star?
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There are many shapes of a star. It depends on the shape of the star. If you’re referring to this star, then the number of triangles is 5.

Hope this answers your question!

6 0
3 years ago
yuan tossed a paper cup 40 times and recorded howth cup landed each time. he organized the results in the table shown based on y
Leviafan [203]

Answer: 40%

Step-by-step explanation:

hi

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You need to find the number of permutations of the 6 different letters, taken 3 at a time.
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3 years ago
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