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Dennis_Churaev [7]

3 years ago

8

Which expression is equivalent to StartRoot StartFraction 2 x Superscript 5 Baseline Over 18 EndFraction EndRoot? Assume x great

er-than-or-equal-to 0. StartFraction x squared StartRoot x EndRoot Over 3 EndFraction StartFraction 3 StartRoot x EndRoot Over x squared EndFraction StartFraction StartRoot x EndRoot Over 3 x squared EndFraction StartFraction 2 x StartRoot x EndRoot Over 3 EndFraction

2 answers:

german3 years ago

6 0

Answer:

A. $\frac{x^2\sqrt{x}}{3}$

Step-by-step explanation:

We have been given an expression $\sqrt{\frac{2x^5}{18}}$ . We are asked to find which expression is equivalent to our given expression.

Let me simplify our given expression. First of all we will divide 18 by 2 as:

$\sqrt{\frac{2x^5}{2\cdot 9}}$

$\sqrt{\frac{x^5}{9}}$

Now we will rewrite $x^5 \text{ as } x^4\cdot x$ .

$\sqrt{\frac{x^4\cdot x}{9}}$

Now we will write $x^4\text{ and } 9$ as perfect squares.

$\sqrt{\frac{(x^2)^2\cdot x}{3^2}}$

Let us factor our perfect square from square-root.

$\frac{x^2\sqrt{x}}{3}$

Therefore, option A is the correct choice.

Elodia [21]3 years ago

5 0

Answer:

it's A on edge

Step-by-step explanation:

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How to simplify the complex number (9 - 2i) - (-2 + 6i) ?

matrenka [14]

$(9 - 2i) - (-2 + 6i) \\ \\ 9 - 2i + 2 - 6i \\ \\ (9+2) + (-2i - 6i) \\ \\ 11 - 8i \\ \\ Answer: \fbox {11 - 8i}$

3 0

3 years ago

If one basket contains five bottles each weighing 7 1/4 ANSYS and the other basket has six apples each weighing 6 1/2 ounces woo

Tems11 [23]

<em>Question:</em>

<em>If one basket contains five bottles each weighing 7 1/4 and the other basket has six apples each weighing 6 1/2 ounces. Which basket is heavier and by how much ?</em>

Answer:

The basket of bottles weighs more than the basket of apples by $3\frac{3}{4}$ ounces

Step-by-step explanation:

Given

$Bottles = 5$

$Weight(Bottle) = 7\frac{1}{4}$

$Apples = 6$

$Weight(Apple) = 6\frac{1}{2}$

Required

Determine which basket is heavy

and by how much?

First, we need the total weight of each basket.

For the bottles' basket

$Total\ Weight = Weight * Bottles$

$Total\ Weight = 7\frac{1}{4} * 5$

$Total\ Weight = \frac{29}{4} * 5$

$Total\ Weight = \frac{29 * 5}{4}$

$Total\ Weight = \frac{145}{4}$

$Total\ Weight = 36\frac{1}{4}$

For the bottles' basket

$Total\ Weight = Weight * Apples$

$Total\ Weight = 6\frac{1}{2} * 5$

$Total\ Weight = \frac{13}{2} * 5$

$Total\ Weight = \frac{13* 5}{2}$

$Total\ Weight = \frac{65}{2}$

$Total\ Weight = 32\frac{1}{2}$

By comparing both total weights, $36\frac{1}{4} > 32\frac{1}{2}$

Hence:

The basket of bottles weighs more than the basket of apples

Calculating the difference:

$Difference = 36\frac{1}{4} - 32\frac{1}{2}$

$Difference = \frac{145}{4} - \frac{65}{2}$

$Difference = \frac{145 - 130}{4}$

$Difference = \frac{15}{4}$

$Difference = 3\frac{3}{4}$

Hence:

It weighs more by $3\frac{3}{4}$ ounces

8 0

3 years ago

7x ( 3 x 4) = ( 7 x 3) x4

WARRIOR [948]

Commutative, because no matter how you group the equation you will still get to same answer

4 0

2 years ago

That’s what I need to know to set it up plzzzzss help

AURORKA [14]

3×(60+7)
(3×30) + (3×7)
90 + 21 = 111

7 0

3 years ago

Read 2 more answers

Please help!! (please don’t reply if you’re just going to say “ don’t know “ etc please and thank you)

Nastasia [14]

Answer:

a = -1 , b = 4 , c = 3 , d = 1

Step-by-step explanation:

The general rules of exponent:

$1) \ a^m * a^n = a^{m+n}\\2) \ a^m / a^n = a^{m-n}\\3) (-1)^m = 1 \ (if \ m \ is \ +) and \ = \ -1 \ (if \ m \ is \ -)$

===================================================

Given:

$(-xy)^3 (xz) =ax^by^cz^d$

The right hand side = (-xy)³ (xz) = (-1)³ x³ y³ x z = (-1) x⁴ y³ z

Comparing the right hand side with the left hand side

∴ a = -1

∴ b = 4

∴ c = 3

∴ d = 1

8 0

3 years ago