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ANTONII [103]
3 years ago
11

What is the simplest form of

Mathematics
1 answer:
steposvetlana [31]3 years ago
4 0

Answer:

The simplest form of \sqrt[3]{27a^{3}b^{7}} is

3ab²(∛b)

Step-by-step explanation:

The given term is:

\sqrt[3]{27a^{3}b^{7}}

To convert it into its simplest form, we will apply simple mathematical rules to simplify the power of individual terms.

\sqrt[3]{27a^{3}b^{7}}\\= \sqrt[3]{3^{3} a^{3}b^{7}}\\= \sqrt[3]{3^{3}a^{3}b^{6}b}\\= 3^{3/3} a^{3/3}b^{6/3}b^{1/3}}\\= 3ab^{2}(\sqrt[3]{b})

While simplifying the term, we basically took the cube root of individual terms. The powers cancelled out cube root for some terms. In the end, we were left with the simplest form of the expression.

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The kinetic energy (K) that an object has varies jointly with its mass (m) and the square of its velocity (v). The equation that
lord [1]

The kinetic energy of the bowling ball with the mass and traveling at the given velocity is 10.14 Joules.

<h3>What is Kinetic Energy?</h3>

Kinetic energy is simply a form of energy a particle or object possesses due to its motion.

It is expressed as;

K = (1/2)mv²

Where m is mass of the object and v is its velocity.

Given that;

  • Mass of the bowling ball m = 3kg
  • Velocity of the bowling ball v = 2.6m/s
  • Kinetic energy K = ?

We substitute the given values into the above equation.

K = (1/2)mv²

K = 0.5 × 3kg × (2.6m/s)²

K = 0.5 × 3kg × 6.76m²/s²

K = 10.14kgm²/s²

K = 10.14J

Therefore, the kinetic energy of the bowling ball with the mass and traveling at the given velocity is 10.14 Joules.

Learn more about kinetic energy here: brainly.com/question/12669551

#SPJ1

6 0
2 years ago
Freeeee pointssssss for everyone
USPshnik [31]

Answer:

YAY!

Step-by-step explanation:

Happy Friday! :)!

Thanks so much for the free POINTS!

Ur the best!

8 0
3 years ago
Read 2 more answers
Pls help me calculate the inverse of y equals 2x over x-7
NeTakaya
Y = 2x/x-7

x = 2y/y-7

xy - 7x = 2y

-7x = 2y - xy

-7x = y(2-x)

y = -7x / 2-x

y = 7x / x-2


f-¹(x) = 7x / x-2

5 0
3 years ago
What shape is produced when slicing a right rectangular pyramid perpendicular to the base
vovikov84 [41]

For the most part, the cross-section formed is a <em>trapezoid</em>, but if the slice passes through the apex of the pyramid, that shape is a <em>triangle</em>.

(Image source: MathCaptain.com)

5 0
3 years ago
Of the smoothies sold yesterday at Marlins smoothie shop, 5/6 were banana and another 1/12 were strawberry . What fraction of th
professor190 [17]

Answer:

The fraction of smoothies sold were either banana or strawberry is  \frac{11}{12}.

Step-by-step explanation:

Given:

Of the smoothies sold yesterday at Marlins smoothie shop, 5/6 were banana and another 1/12 were strawberry.

Now, to find the fraction of the smoothies sold were either banana or strawberry.

Fraction of smoothie were of banana = \frac{5}{6} .

Fraction of smoothie were of strawberry = \frac{1}{12} .

Now, to get the fraction smoothies sold were either banana or strawberry by adding both the fractions of banana and strawberry:

\frac{5}{6} +\frac{1}{12} \\\\=\frac{10+1}{12} \\\\=\frac{11}{12}

Therefore, the fraction of smoothies sold were either banana or strawberry is  \frac{11}{12}.

7 0
3 years ago
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