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2 years ago

Simplify 2a^2 b^3(4a^2+3ab^2-ab)

1 answer:

6 0

$2a^2b^3(4a^2+3ab^2-ab)$

Factor : $4a^2+3ab^2-ab$

$a(3b^2-b+4a)$

factor out common term a :

$a(3b^2 -b+4a)$

$= 2ab^3b^3(3b^2-b+4a)$

hope this helps!

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Sharon needs 64 credits to graduate from her community college. So far she has earned 56 credits. What percent of the required c

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Sharon has a percentage of 56/64*100= 87.5%

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3 years ago

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Mr. Schordine wants to fill up enough helium balloons to allow him to fly through the skies. He weighs 84 kilograms. He knows th

Cerrena [4.2K]

Answer:

There is needed around 311 balloons to fulfill Mr. Schordine’s dream of flight.

Step-by-step explanation:

First, we need to calculate the volume of each balloon by considering the balloons as a sphere:

$V = \frac{4}{3}\pi r^{3}$

Where:

r: is the radius = 0.4 meters

$V = \frac{4}{3}\pi r^{3} = \frac{4}{3}\pi (0.4 m)^{3} = 0.27 m^{3}$

Knowing that 1 m³ of helium is able to lift about 1 kg, that Mr. Schordine weights 84 kg, and that each ballon has 0.27 m³ of helium, the number of balloons needed are:

$N = \frac{1 m^{3}}{1 kg}*84 kg*\frac{1 balloon}{0.27 m^{3}} = 311.1 \: balloon$

Therefore, there is needed around 311 balloons to fulfill Mr. Schordine’s dream of flight.

I hope it helps you!

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3 years ago

A rod of aluminium has a mass of 575.4g and a volume of 210cm3

andreev551 [17]

Answer:

0.274g/cm^3

Step-by-step explanation:

density = mass / volume

so d = 575.4 / 210

d = 0.274g/cm^3

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3 years ago

A number, y, is equal to the difference of a larger number and 3. The same number is one-third of the sum of the larger number a

mariarad [96]

Answer:

The two equations are

y = x - 3 and

3y = x + 9

Step-by-step explanation:

The options are not well stated. I'll answer the question without the options but however, my answer will be a reflection of one of the given options.

Given:

2 statements

Required

Write equivalent of both statements as equations

Let the large number be represented by x.

From the first statement (y, is equal to the difference of a larger number and 3)

Difference means minus (-); so, this statement is represented as follows to give us the first equation:

y = x - 3

From the second statement (The same number is one-third of the sum of the larger number and 9).

This is also represented as follows to give us the second equation

y = ⅓(x + 9)

Multiply both sides by 3

3 * y = 3 * ⅓(x + 9)

3y = x + 9

So, the two equations are

y = x - 3 and

3y = x + 9

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2 years ago

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−3x−8y=−8 y=2−x Is (0,1) a solution of the system?

zhenek [66]

No because (0,1) isn't a solution for both equations. It is for the first one, but not the second.

please vote my answer brainliest. thanks!

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3 years ago