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Anvisha [2.4K]
3 years ago
13

Which of the following is equivalent to the expression (9x^2y^3)(12x^-3y^5)(2xy)?

Mathematics
2 answers:
VladimirAG [237]3 years ago
6 0

Answer:

\large\boxed{(9x^2y^3)(12x^{-3}y^5)(2xy)=216y^9}\to\boxed{B.}

Step-by-step explanation:

(9x^2y^3)(12x^{-3}y^5)(2xy)=(9\cdot12\cdot2)(x^2x^{-3}x)(y^3y^5y)\\\\\text{Use}\ a^n\cdot a^m=a^{n+m}\\\\=216x^{2+(-3)+1}y^{3+5+1}=216x^0y^9\\\\\text{Use}\ a^0=1\ \text{for any value of}\ a\ \text{except 0}\\\\=216y^9

Luden [163]3 years ago
3 0

Answer:

=216y^9

Step-by-step explanation:

the expression is:

(9x^2y^3)(12x^{-3}y^5)(2xy)

the first step is to multiply all the coefficients:

9*12*2=216

and as for the variables, to multiply them we must add the exponents, that is, the result for x will be:

x^{2-3+1}=x^0=1

so there will be no x in our result.

adding the exponents for the y variable:

y^{3+5+1}=y^9

The result is the multiplied coefficients and the variables after we add the exponents they in the original expression:

(9x^2y^3)(12x^{-3}y^5)(2xy)=216y^9

which is option B

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 Deriving we have:
 A '= 8 * pi * r * r'
 We clear the speed:
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 Substituting values:
 r '= 24 / (8 * pi * 3)
 r '= 1 / pi inch / sec
 Then, the volume of the sphere is:
 V = (4/3) * (pi) * (r ^ 3)
 Deriving we have:
 V '= (3) * (4/3) * (pi) * (r ^ 2) * (r')
 Substituting values:
 V '= (3) * (4/3) * (pi) * (3 ^ 2) * (1 / pi)
 Rewriting:
 V '= (4) * (9)
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3 years ago
Can anyone help me please? thanks ^^
Mazyrski [523]

Answer:

Yes; they are congruent

SSS

Step-by-step explanation:

Here, we want to check if the given triangles are congruent

From what we have, we can see that all three sides are marked for both triangles

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Answer:

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Step-by-step explanation:

First find the slope

m = (y2-y1)/(x2-x1)

m = (2-10)/(3-1)

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The slope intercept form of a line is

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y = -4x+b

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The probability that a company will launch the product A and B are 0.45 and 0.60 respectively, in main while, probability that b
Brrunno [24]

Answer:

a) what is the probability that Neither will of these products launch ?

= 0.30

b) At least one product will be launched ?

= 0.70

Step-by-step explanation:

From the above question, we have the following information:

P(A) = 0.45

P(B) = 0.60

P(A ∩ B) = P(A and B) launching = 0.35

Step 1

We find the Probability that A or B will launch

P (A ∪ B) = P(A) + P(B) - P(A ∩ B)

= 0.60 + 0.45 - 0.35

= 1.05 - 0.35

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1 - Probability ( A or B will launch)

= 1 - 0.70

= 0.30

b)At least one product will be launched?

This is equivalent to the probability that A or B will be launched

P (A ∪ B) = P(A) + P(B) - P(A ∩ B)

= 0.60 + 0.45 - 0.35

= 1.05 - 0.35

= 0.70

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3 years ago
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