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Alina [70]
3 years ago
15

Factor completely 3a4y3 − 12a3y2 + 6a2y.

Mathematics
2 answers:
gizmo_the_mogwai [7]3 years ago
6 0

Answer:

The answer is 3a^2y(a^2y^2-4ay+2)

Step-by-step explanation:

Given the expression 3a^4y^3-12a^3y^2+6a^2y

We have to factor the above expression.

3a^4y^3-12a^3y^2+6a^2y

Taking 3a^2y common from each term, we get

⇒ 3a^2y(a^2y^2-4ay+2)

Hence, the correct option is second.

umka2103 [35]3 years ago
3 0
<span>3a4y3 − 12a3y2 + 6a2y
=3a^2y (a^2y^2 - 4ay + 2)

answer is </span>3a^2y (a^2y^2 - 4ay + 2) (second choice)
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Simplify completely.
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5.196152y^8

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3 years ago
You are at a family reunion and the cooler contains ten bottles of soda; four Sprite, three Dr. Pepper, and three Cherry Coke. T
natita [175]

Answer:

Probability of getting Dr. Pepper the fourth time = \frac{1}7

Probability of getting a cherry coke the fifth time = \frac{1}{3}

Combined probability = \frac{1}{21}

Step-by-step explanation:

Formula for probability of an event E can be observed as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

It is given that first time a Cherry coke is chosen and it is not replaced.

So, number of cherry coke left = 2

Dr. Pepper is chosen twice and is not replaced, so

Number of Dr. Pepper left = 3 - 2 = 1

Total number of soda left = 10 - 3 = 7

So, probability of getting Dr. Pepper the fourth time = \frac{1}7

Now, total number of soda left = 7 - 1 = 6

Probability of getting a cherry coke the fifth time = \frac{2}{6} = \frac{1}{3}

The combined probability = probability of getting Dr. Pepper the fourth time multiplied with Probability of getting a cherry coke the fifth time

\Rightarrow \dfrac{1}7 \times \dfrac{1}{3} = \dfrac{1}{21}

6 0
3 years ago
If the cross-section shown has an approximate area of 78.54 cm2, what is the approximate volume of the cylinder if its height is
Elena-2011 [213]

Answer: C) 785.4

Step-by-step explanation:

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3 years ago
How to solve for side
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3 years ago
If Shannon wants to fill a spherical balloon so that it has a circumference of 8π in, how much air will she need to use to fill
lapo4ka [179]

The Volume of air needed for a spherical balloon of radius 4 inch and circumference 8π is 85.3 cubic inch

<h3>Volume of Sphere</h3>

Given Data

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Let us find radius

circumference = 2πr

8π = 2πr

8 = 2r

r = 8/2

r = 4 inch

Let us find the volume of the sphere

Volume = 4/3πr^3

Volume = 4/3* π*4^3

Volume = 4/3*π64

Volume = 256π/3

Volume = 85.3 cubic inch

Learn more about volume of sphere here:

brainly.com/question/22807400

4 0
2 years ago
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