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4 years ago

HELP MATH ANYONE PLS

Mathematics

2 answers:

seropon [69]4 years ago

7 0

18 and 3/4 is the answer to this question

erica [24]4 years ago

7 0

18 and 3/4 is the answer

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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

4. Mrs. Kreger created the expression

Charra [1.4K]

Here, we are required to find how many hours per week does Lindsey need to study if she wants to have an average of at least 90

Lindsey needs to study for at least 15.25 hours to have an average of 90

Given expression:

4(h + 11) – 15

Where,

h = number of hours

For Lindsay to have at least 90

4(h + 11) – 15 = 90

open parenthesis

4h + 44 - 15 = 90

4h + 29 = 90

4h = 90 - 29

4h = 61

Divide both sides by 4

h = 61/4

h = 15.25 hours

Therefore,

Lindsey needs to study for at least 15.25 hours to have an average of 90

Read more:

brainly.com/question/13158712

7 0

3 years ago

HELP! THIS IS DUE TODAY, AND I WILL MARK BRAINLEST!!!!

lyudmila [28]

Answer:

the answer is the second one i think

Step-by-step explanation:

4 0

3 years ago

What is the solution to the system of equations using the linear combination method {4x+y=5, 3x+y=8?

erastovalidia [21]

4x + y = 5
3x + y = 8
y = -3x + 8

4x +(-3x + 8) = 5
4x -3x + 8 = 5
x + 8 = 5
x = -3

y = -3(-3) + 8
y = -9 + 8
y = -1

5 0

3 years ago

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Who out there likes dragon ball? Die hard fans are allowed to be my friend.

kupik [55]

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4 0

4 years ago