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vladimir1956 [14]
3 years ago
12

Rewrite the expression using the properties of exponents.

Mathematics
1 answer:
stiv31 [10]3 years ago
7 0

Answer:

  x^2\sqrt[3]{x}

Step-by-step explanation:

The relevant properties of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

  1/a^b = a^-b

__

Your expression simplifies to ...

  \displaystyle x^{\frac{6}{3}+\frac{6}{9}-\frac{1}{3}}=x^{\frac{7}{3}}\\\\=x^2\sqrt[3]{x}

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If there are 500 mg of medicine in 5 ml of liquid, we need to set up a proportion to find out how much liquid medication has 125 mg of medicine in it. Set up the proportion as follows:

\frac{500mg}{5ml}=\frac{125mg}{x}.

Cross multiply to get 500x = 625. Divide by 500 to get that you need 1.25 ml of liquid if your dose is 125 mg of medicine.

5 0
3 years ago
An arc subtends a central angle measuring
barxatty [35]

Answer:

The arc is one-third of the circumference.

Step-by-step explanation:

The area of a circumference = 2πr

C = 2πr ... (1)

If an arc subtends a central angle measuring 2π/3 rad,

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L = 2πr/3... (2)

L = 1/3(2πr)

Since C = 2πr

L = 1/3C

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6 0
3 years ago
Identify the parent function that can be used to graph the function (x) = - 3x + 2
Sever21 [200]

Answer:

c

Step-by-step explanation:

the function (x) = -3x+2  can be obtained by :

* stretching the function (x)=x in the y-axis by 3 units gives 3x

* then reflecting about x-axis  gives -3x

* finally shifting it up by 2 units gives -3x+2

so the parent function is f(x) = x

8 0
3 years ago
PLEASE HURRY IM BEING TIMED!
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Answer:

The answer is

\frac{26}{31}

GOOD LESSONS ♡

7 0
2 years ago
4-20. When Susan's brother went to college, she and her two sisters evenly
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Each sibling got 1 poster, 8 CDS and 72 books.

<h3>How the belongings were divided </h3>

Since the belongings were divided equally, each sibling would get the same amount of belongings. In order to determine the belongings each person got, we would divide each possession by 3.

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To learn more about division, please check: brainly.com/question/194007

8 0
2 years ago
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