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3 years ago

The expression 2 log x - (3 log y + log z) is equivalent to

Mathematics

1 answer:

dmitriy555 [2]3 years ago

6 0

Answer:

$2 log(x )- (3 log(y) + log(z) ) \\ \equiv log( {x}^{2} ) - log( {y}^{3} ) - log(z) \\ \equiv log( \frac{x {}^{2} }{ {y}^{3} + z} )$

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A regular convex polygon has eight sides. What is the measure of an exterior angle?

PSYCHO15rus [73]

Answer:

The measure of one exterior angle is 45 degrees.

Step-by-step explanation:

The formula to find exterior angle of and shape is 360 degrees divided by n (number of sides the shape has). 360 divided by 8 = 45 degrees.

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3 years ago

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A recipe requires 1/3 cup of milk for each 1/4 cup of water. How may cups of water are needed of each cup of milk

Y_Kistochka [10]

For every 1 cup of milk you would need 3/4 cups of water

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3 years ago

Find the inverse of the given function.

kodGreya [7K]

For this case we must find the inverse of the following function:

$f (x) = - \frac {1} {2} \sqrt {x + 3}$

We follow the steps below:

Replace f(x) with y:

$y = -\frac {1} {2} \sqrt {x + 3}$

We exchange the variables:

$x = - \frac {1} {2} \sqrt {y + 3}$

We solve for "y":

$- \frac {1} {2} \sqrt {y + 3} = x$

Multiply by -2 on both sides of the equation:

$\sqrt {y + 3} = - 2x$

We raise both sides of the equation to the square to eliminate the radical:

$(\sqrt {y + 3}) ^ 2 = (- 2x) ^ 2\\y + 3 = 4x ^ 2$

We subtract 3 from both sides of the equation:

$y = 4x ^ 2-3$

We change y by f ^ {- 1} (x):

$f ^ {- 1} (x) = 4x ^ 2-3$

Answer: $f ^ {- 1} (x) = 4x ^ 2-3$

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3 years ago

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I will give 50 points

kupik [55]

Answer:

High

Step-by-step explanation:

the only numbers that don't overlap is 53 and 59 all the others would overlap.

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1 year ago

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If each angle in a decagon is the same measure, what is that measure? 18° 180° 144° 72°

pishuonlain [190]

Answer:

Each Angle of Decagon = 144 degrees

Step-by-step explanation:

The interior angles of a decagon add up to 1440

If they are of the same measure, then every angle will be equal to:

Each Angle of Decagon = 1440/10

Each Angle of Decagon = 144 degrees

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2 years ago