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2 years ago

I picked the yellow one, was I correct?

Mathematics

2 answers:

Black_prince [1.1K]2 years ago

8 0

Answer:

yes

Step-by-step explanation:

AURORKA [14]2 years ago

6 0

Yes you are indeed correct

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Which statement is true?

love history [14]

<h2>Hello!</h2>

The answer is:

The second option,

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

Discarding each given option in order to find the correct one, we have:

<h2>First option,</h2>

$\sqrt[m]{x}\sqrt[m]{y}=\sqrt[2m]{xy}$

The statement is false, the correct form of the statement (according to the property of roots) is:

$\sqrt[m]{x}\sqrt[m]{y}=\sqrt[m]{xy}$

<h2>Second option,</h2>

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

The statement is true, we can prove it by using the following properties of exponents:

$(a^{b})^{c}=a^{bc}$

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

We are given the expression:

$(\sqrt[m]{x^{a} } )^{b}$

So, applying the properties, we have:

$(\sqrt[m]{x^{a} } )^{b}=(x^{\frac{a}{m}})^{b}=x^{\frac{ab}{m}}\\\\x^{\frac{ab}{m}}=\sqrt[m]{x^{ab} }$

Hence,

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

<h2>Third option,</h2>

$a\sqrt[n]{x}+b\sqrt[n]{x}=ab\sqrt[n]{x}$

The statement is false, the correct form of the statement (according to the property of roots) is:

$a\sqrt[n]{x}+b\sqrt[n]{x}=(a+b)\sqrt[n]{x}$

<h2>Fourth option,</h2>

$\frac{\sqrt[m]{x} }{\sqrt[m]{y}}=m\sqrt{xy}$

The statement is false, the correct form of the statement (according to the property of roots) is:

$\frac{\sqrt[m]{x} }{\sqrt[m]{y}}=\sqrt[m]{\frac{x}{y} }$

Hence, the answer is, the statement that is true is the second statement:

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

Have a nice day!

6 0

2 years ago

Kristen can lift 133% of what Jane can lift. How many times more is that?

lubasha [3.4K]

The weight Kristen can lift is 1.3 times more than Jane's

<h3>How to determine the number of times?</h3>

The given paramater can be represented using the following equation

Kristen = 133% * Jane

Express the percentage as decimal

Kristen = 1.33 * Jane

Hence, the weight Kristen can lift is 1.3 times more than Jane's

Read more about percentage at:

brainly.com/question/843074

#SPJ1

8 0

1 year ago

A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 22 feetfeet less than th

ivann1987 [24]

So basically the ladder is creating a right triangle with the ground and the wall. Ladder is the hypotenuse (h), building = b, ground = g
b = h - 22 ft
g = 1010 ft
use Pythagorean Theorem to determine the length of h:
${c}^{2} = {a}^{2} + {b}^{2} \\ {h}^{2} = {(h - 22)}^{2} + {1010}^{2} \\ {h}^{2} = {h}^{2} - 44h + 484 + 1020100$
The h^2 terms cancel out to = 0
$0 = - 44h + 484 + 1020100 \\ 44h = 1020584 \\ 44h \div 44 = 1020584 \div 44 \\ h = 23195.1 \: feet$

7 0

3 years ago

Zinaida [17]

$b. \: \frac{8}{27}$

3 0

2 years ago

WILL GIVE BRAINLIEST PLEASE HELP WITHIN 15 MINUTES!!

Dvinal [7]

Answer:

60 & 42

Step-by-step explanation:

Just know it.

Good Luck!!

3 0

2 years ago