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3 years ago

Simplify the square root of 27x^12/300x^8

Mathematics

1 answer:

serg [7]3 years ago

7 0

Answer:

(3/10) * (x ^ 2)

Step-by-step explanation:

The first thing we are going to do is rewrite the expression correctly.

We have:

root (27x ^ 12 / 300x ^ 8)

Rewriting:

root ((27/300) * (x ^ 12 / x ^ 8))

root ((9/100) * (x ^ (12-8)))

root ((9/100) * (x ^ (4)))

3 * x ^ 2 * root ((1/100)

(3 * x ^ 2) / 10

(3/10) * (x ^ 2)

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A carpenter has a wooden dowel that is 72 centimeters long. She wants to cut it into 2 pieces so that one piece is 5 times as lo

Jobisdone [24]

Let's say that the shorter piece is x and the longer piece is 5x (because it's 5 times as long). x+5x=72 and 6x=72. Dividing both sides by 6, we get that x=12, and 72-12=the length of the other piece (since there are only 2 pieces)=60

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3 years ago

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Soloha48 [4]

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3 years ago

A gas pump fills 2^-2 gallon of gasoline per second. how many gallons does the pump fill in one minute?

astraxan [27]

Answer:

The gas pump filling the gallons in 1 minute will be: 15

Step-by-step explanation:

Given that a gas pump fills 2^-2 gallon of gasoline per second.

As there are 60 seconds in 1 minute.

Thus,

Gas pump filling the gallons in 1 minute will be:

$60\:\times 2^{-2}$

$=60\times \frac{1}{2^2}$ ∵ $a^{-b}=\frac{1}{a^b}$

$\mathrm{Multiply\:fractions}:\quad \:a\times \frac{b}{c}=\frac{a\:\times \:b}{c}$

$=\frac{1\times \:60}{2^2}$

$=\frac{60}{2^2}$

$=\frac{2^2\times \:3\times \:5}{2^2}$

$=3\times \:5$

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3 years ago

What is the solution of log(3x − 2)125 = 3?

Reil [10]

$log_{3x - 2}125 = 3 \\ (3x - 2)^3 = 125 \\ \sqrt[3]{(3x - 2)^3} = \sqrt[3]{125} \\ 3x - 2 = 5 \\ 3x = 5 + 2 \\ 3x = 7 \\ x = 7/3$

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3 years ago

What is the inverse of the given relation?<br> y=3x+12

stich3 [128]

For this case we have the following function:

$y = 3x + 12$

We change the variables:

$x = 3y + 12$

From here, we clear the value of y.

$3y = x-12\\y = \frac {x} {3} -4$

Then, we make the following change:

$y = f (x) ^ {-1}$

Finally, the inverse function is:

$f (x) ^ {- 1} = \frac {x} {3} -4$

Answer:

The inverse of the given relation is:

$f (x) ^ {- 1} = \frac {x} {3} -4$

6 0

3 years ago

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