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klemol [59]
3 years ago
14

What is the simplest form of the product cube root4x^2*cube root8x^7

Mathematics
1 answer:
Illusion [34]3 years ago
6 0

Answer:

f(x) =  2^{\frac{5}{3} }x^{3} is the simplest expression

Step-by-step explanation:

We are given an expression and we are supposed to find the simplest form of the given expression.

The given expression is

f(x) = \sqrt[3]{4x^{2} } \times \sqrt[3]{8x^{7} }

Since the cube root is common we can multiply the quotient inside the radical sign.

f(x) = \sqrt[3]{32x^{(2+7)} }

     = \sqrt[3]{32x^{9} }

     = 2^{\frac{5}{3} }\times x^{\frac{9}{3} }

     = 2^{\frac{5}{3} }x^{3}

f(x) =  2^{\frac{5}{3} }x^{3} is the simplest expression

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Which of the
alisha [4.7K]

Given:

The inequality is:

x>111

To find:

The x-values that are the solutions to the given inequality.

Solution:

We have,

x>111

It means all the real numbers greater than 111 are the solutions to the given inequality.

97, so 97 is not a solution.

101, so 101 is not a solution.

119>111, so 119 is a solution.

Therefore, the correct option is C.

7 0
3 years ago
Find the value of r.<br><br> Note: Write your answer as a decimal.
Solnce55 [7]

Answer:

\huge\boxed{\sf r = 10.5}

Step-by-step explanation:

Since it is a right-angled triangle, it has base, perpendicular and hypotenuse.

Base = r

Perpendicular = 14

Hypotenuse = r + 7

<u>Using Pythagoras theorem:</u>

(Hypotenuse)^2 = (Base)^2+(Perp)^2

Put the values

(r + 7)² = (r)² + (14)²

Using formula a² + 2ab + b² = (a + b)²

r² + 14r + 49 = r² + 196

<em>Subtract</em> r² to both sides

14r + 49 = 196

<em>Subtract</em> 49 to both sides

14r = 196 - 49

14r = 147

<em>Divide</em> 14 to both sides

r = 147 / 14

r = 10.5

\rule[225]{225}{2}

8 0
2 years ago
I need the answer asap
jek_recluse [69]

Answer:

1=3 2=1 3=4 42

Step-by-step explanation:

7 0
3 years ago
Are these ratios equivalent?<br><br> 10 friends to 12 strangers<br><br> 30 friends to 36 stranger
horrorfan [7]

Answer:

Yes

Step-by-step explanation:

10:12 and 30:36

you can simplify them first so

10:12=5:6

and

30:36=5:6 which is equivalent to the other ratio

or you can do

                                             10:12

10 times 3 is 30                  30:36              12 times 3 is 36

7 0
4 years ago
Read 2 more answers
Date
siniylev [52]

Answer:

16 workers are required to complete the work in 45 days...

Step-by-step explanation:

12 workers are required to complete the work in 60 days

so... 60*12=720 workers are required to complete the work in 1 day

Hence,

720/45 = 16 workers are required to complete the work in 45 days.

8 0
4 years ago
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