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1 year ago

Sort each unit into the box indicating what it measures.

Mathematics

1 answer:

nadezda [96]1 year ago

5 0

The sorting as been done below:

A unit of measurement is a quantity used as a standard to expressed a physical quantity.

Volume: Millimeter , Kiloliter

Length: Yard, Quart

Weight/Mass: Centigram, Ounce.

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If f(x) = 4 x^2 and g(x) = x+1, find (f•g)(x)

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Step-by-step explanation:

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3 years ago

Soon-Jin sent out 48 invitations, this was 4/5 of all her invitations. How many invitations will she send out in total?

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2 years ago

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2 years ago

Simplify the square root of 3 times the fifth root of 3.

bogdanovich [222]

Answer:

<h2><em>Three to the three fifths power.</em></h2>

Step-by-step explanation:

The given expression is

$\sqrt{3\sqrt[5]{3} }$

To simplify this expression, we have to use a specific power property which allow us to transform a root into a power with a fractional exponent, the property states:

$\sqrt[n]{x^{m}}=x^{\frac{m}{n}}$

Applying the property, we have:

$\sqrt{3\sqrt[5]{3}}=\sqrt{3(3)^{\frac{1}{5}}}=(3(3)^{\frac{1}{5}})^{\frac{1}{2}}$

Now, we multiply exponents:

$(3(3)^{\frac{1}{5}})^{\frac{1}{2}}\\3^{\frac{1}{2}}3^{\frac{1}{10}}$

Then, we sum exponents to get the simplest form:

$3^{\frac{1}{2}}3^{\frac{1}{10}}=3^{\frac{1}{2}+\frac{1}{10}} =3^{\frac{10+2}{20}}=3^{\frac{12}{20}} \\\therefore \sqrt{3\sqrt[5]{3}}=3^{\frac{3}{5} }$

Therefore, the right answer is <em>three to the three fifths power.</em>

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3 years ago

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