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GaryK [48]
3 years ago
5

Simplify. (Assume all variables represent positive real numbers). Leave answer in radical form.

Mathematics
1 answer:
Flauer [41]3 years ago
5 0

Answer:

\sqrt{128a^{6}b^{13}} = 8 a^{3} b^{6} \sqrt{2b}

Step-by-step explanation:

Given

\sqrt{128a^{6}b^{13}}

Required

Solve

\sqrt{128a^{6}b^{13}}

The expression can be split to:

\sqrt{128a^{6}b^{13}} = \sqrt{128} * \sqrt{a^{6}} * \sqrt{b^{13}}

\sqrt{128a^{6}b^{13}} = \sqrt{64 * 2} * \sqrt{a^{6}} * \sqrt{b^{13}}

\sqrt{128a^{6}b^{13}} = \sqrt{64} * \sqrt{2} * \sqrt{a^{6}} * \sqrt{b^{13}}

\sqrt{128a^{6}b^{13}} = \sqrt{64} * \sqrt{2} * \sqrt{a^{6}} * \sqrt{b^{12 + 1}}

\sqrt{128a^{6}b^{13}} = \sqrt{64} * \sqrt{2} * \sqrt{a^{6}} * \sqrt{b^{12}} * \sqrt{b}

So, we have:

\sqrt{128a^{6}b^{13}} = 8 * \sqrt{2} * a^{6/2} * b^{12/2} * \sqrt{b}

\sqrt{128a^{6}b^{13}} = 8 * \sqrt{2} * a^{3} * b^{6} * \sqrt{b}

Rewrite as:

\sqrt{128a^{6}b^{13}} = 8 * a^{3} * b^{6}* \sqrt{2}  * \sqrt{b}

\sqrt{128a^{6}b^{13}} = 8 a^{3} b^{6}* \sqrt{2b}

\sqrt{128a^{6}b^{13}} = 8 a^{3} b^{6} \sqrt{2b}

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inessss [21]
So 8 meals for $10 each , 2 tickets for $45 each, and 2 jerseys for $65 each
So (8x10) + (2x45) + (2x65) is the equation
And the answer is $300 because 8x10 is 80, 2x45 is 90, 2x65 is 130 and if you add it all up you'll get $300
80 + 90 = 170 + 130 = 300

Hope this helps! :) 
8 0
3 years ago
there are 25 students in math class. yesterday 6students were absent .what percent of the students were absent
kodGreya [7K]
Divide the number absent by the total and multiply by 100
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4 0
4 years ago
What is the first step to solve the equation x^2-3=15​
Otrada [13]

You will need to add 3 to each side.

x^2-3=15

    +3   +3

x^2=12

and go from there

6 0
3 years ago
Read 2 more answers
Pls help!!<br><br><br> need ur help math geniuses help with my last question!<br><br><br><br> ty
Shtirlitz [24]

The expected value of the discrete distribution is of 20.97, hence option C gives the correct answer.

<h3>What is the mean of a discrete distribution?</h3>

The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability.</u>

Hence, according to the table, the expected value is given by:

E(X) = 12 x 0.08 + 18 x 0.15 + 20 x 0.31 + 22 x 0.08 + 24 x 0.15 + 25 x 0.23 = 20.97.

More can be learned about the expected value of a discrete distribution at brainly.com/question/26660401

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7 0
2 years ago
Sophie, Jonah, and Chase have a total of $89 in their wallets. Sophie has $6 less than Chase and Jonah has 3 times what Chase ha
Marrrta [24]
So first you need to find a formula for who has what!

Because nobody said what chase had, chase is our variable!

Chase = x
Sophie = x-6 (six less than Chase so subtraction)
Jonah = x•3 (three times the amount of Chase)

Now you will put all of this in an equation- adding everybody together! The total is 89 so that will be what’s after the equal sign!

Your equation: x+x-6+x•3=89

First you will use PEMDAS, since there are no parentheses or exponents- you’ll do multiplication first!

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When you multiply that out, you will be left with: x+x-6+3x=89

Second you will add all common terms! Remember- the 3x means there are THREE x’s in that one spot. Take out all x’s in the equation and add them together!

x+x+3x=5x

Now you are left with:
5x-6=89

Now you will solve this like a regular equation! First, you have to move the -6 to the right so you will do the inverse operation (the opposite sign) and add 6 to both sides! 89+6 is 95 and -6+6 is 0, so the 6 on the left cancels out and isn’t there anymore!

Now you have 5x=95. To get the x by itself, you will divide both sides by 5! (Once again, doing the inverse operation! Since 5 and x are being multiplied, you have to divide.)

When you divide, you are left with x=19. In this question, the answer is:

Each person has $19.

3 0
3 years ago
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