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Alex Ar [27]
3 years ago
12

Can anyone help with this??

Mathematics
1 answer:
Rainbow [258]3 years ago
7 0

The answer is 32.

Can you help with my geometry question please?


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The answer would be 31
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I don’t know I think u times both of them 40 and 36 then divide by 4 then times by 2 i don’t know
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What is the question?

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- The weight of 72 identical marbles is 183.6 grams. What is the weight of each marble? Explain how you
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What expression is equivalent to ^3 square root of 2y^3 times 7 square root of 18y
Mumz [18]

Answer:

\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})

Step-by-step explanation:

The question is poorly formatted.

Given

\sqrt[3]{2y^3} * 7\sqrt{18y}

Required

Derive an equivalent expression

\sqrt[3]{2y^3} * 7\sqrt{18y}

Express 18 as 9 * 2

\sqrt[3]{2y^3} * 7\sqrt{9 * 2y}

Split the expression as follows:

\sqrt[3]{2y^3} * 7\sqrt{9} * \sqrt{2y}

Take positive square root of 9

\sqrt[3]{2y^3} * 7*3 * \sqrt{2y}

\sqrt[3]{2y^3} * 21 * \sqrt{2y}

21*\sqrt[3]{2y^3} *  \sqrt{2y}

The cube root can be rewritten to give:

21*\sqrt[3]{2}*\sqrt[3]{y^3} *  \sqrt{2y}

\sqrt[3]{y^3} = y^{3*\frac{1}{3}} = y

So, we have:

21*\sqrt[3]{2} * y *  \sqrt{2y}

Rewrite as:

21y *\sqrt[3]{2}  *  \sqrt{2y}

Split \sqrt{2y

21y *\sqrt[3]{2}  *  \sqrt{2} * \sqrt{y}

Collect Like Terms

21y*\sqrt{y} *\sqrt[3]{2}  *  \sqrt{2}

Represent in index form

21y*y^{\frac{1}{2}} *2^\frac{1}{3} *2^\frac{1}{2}

Apply law of indices

21*y^{1+\frac{1}{2}} *2^{\frac{1}{3} +\frac{1}{2} }

21*y^{\frac{2+1}{2}} *2^{\frac{2+3}{6}}

21*y^{\frac{3}{2}} *2^{\frac{5}{6}}

21(y^{\frac{3}{2}})(2^{\frac{5}{6}})

Hence:

\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})

6 0
3 years ago
Monica put 1 liter, 2 deciliters, 6 centiliters, and 9 milliliters of water into a bowl.
Taya2010 [7]

Answer:

1269

Step-by-step explanation:

convert and add

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