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2 years ago

Please help me!! thank you

Mathematics

1 answer:

Mama L [17]2 years ago

6 0

9514 1404 393

Answer:

x = 1/6

Step-by-step explanation:

The relevant rules of exponents are ...

(a^b)/(a^c) = a^(b-c)

(a^b)^c = a^(bc)

The fraction inside parentheses evaluates to ...

3^(3/4 -3/8) = 3^(3/8)

Then the whole expression evaluates to ...

(3^(3/8))^(4/9) = 3^((3/8)(4/9)) = 3^(12/72) = 3^(1/6)

The value of x is 1/6.

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Answer:

The approximate value of the scale is 1:67

or the actual value without approximation is 1: 66 2/3 ( 66 while number , two over three)

Step-by-step explanation:

Here, we want to figure out the scale in inches of the drawing to the actual object.

The actual object is 500 ft by 700 ft

while the drawing is 90 inches by 126 inches

Mathematically, we know that 12 inches = 1 foot

So the actual object will be;

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Now let’s make a division to get the scale;

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Which inequality represents all values of x for which the product below is defined?

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Step 1 ) Separate the 4 and x.

$\displaystyle\sqrt{4x} * \sqrt{x+2}$

↓

$\displaystyle\sqrt{4} \sqrt{x} \sqrt{x+2}$

Step 2 ) Simplify the square root of 4.

$\displaystyle\sqrt{4} \sqrt{x} \sqrt{x+2}$

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$\displaystyle\ 2 \sqrt{x} \sqrt{x+2}$

Step 3 ) Simplify.

$\displaystyle\ 2 \sqrt{x} \sqrt{x+2}$

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$\displaystyle\ 2 \sqrt{x(x+2)}$

This is now in its simplest form, so the final answer is...

$\displaystyle\ 2 \sqrt{x(x+2)}$

or it could be...

$\displaystyle\ 2 \sqrt{x} \sqrt{x+2}$

Either one is correct. Only difference is one is in simplest form and one isn't.

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