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Tanzania [10]
3 years ago
15

EXPAND:

Mathematics
1 answer:
Sladkaya [172]3 years ago
5 0

Answer:

\displaystyle  A) 5\log( {x}^{}   )  +   2 \log( {y}^{} )

Step-by-step explanation:

we would like to expand the following logarithmic expression:

\displaystyle   \log( {x}^{5}  {y}^{2} )

remember the multiplication logarithmic indentity given by:

\displaystyle \rm  \log( \alpha  \times  \beta ) \iff  \log( \alpha ) +  \log( \beta )

so our given expression should be

\displaystyle   \log( {x}^{5}   )  +    \log( {y}^{2} )

by exponent logarithmic property we acquire:

\displaystyle   5\log( {x}^{}   )  +   2 \log( {y}^{} )

hence, our answer is A

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What is the length of the diagonal, d, of the rectangular prism shown below?
vodomira [7]

Answer:

<h2>The diagonal of the volumetric figure is 7 units long.</h2>

Step-by-step explanation:

The figure is attached.

Notice that the dimensions of the prism are

w=2\\l=3\\h=6

First, we need to find the diagonal of the rectangular face on the base, this diagonal of the base is part of the right triangle formed by the diagonal of the volume, that's why we need it.

Let's use the Pythagorean's Theorem

d_{base}=\sqrt{2^{2} +3^{2} }=\sqrt{4+9}=\sqrt{13}

This diagonal of the base is a leg in the right triangle formed by the diagonal of the volume.

Let's use again Pythagorean's Theorem

d_{volume}=\sqrt{(\sqrt{13} )^{2}  +(6)^{2} }  =\sqrt{13+36}=\sqrt{49}\\ d_{volume}=7 \ units

Therefore, the diagonal of the volumetric figure is 7 units long.

8 0
3 years ago
Which expression should be used to check the answer to 4,869 ÷ 5?
GrogVix [38]
The answer to the question is C

7 0
2 years ago
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Do these ratios form proportions? YES or NO
mart [117]

yes the answer is yesss

8 0
3 years ago
Please help meme jenejdnddndndndnnddndnddndnnendnd
Flura [38]

Answer:

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Step-by-step explanation:

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3 years ago
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Genevieve uses 7.7 pints of blue paint and white paint to paint her bedroom walls. 1 4 of this amount is blue paint, and the res
stellarik [79]

Answer:

She used 5.775 pints of white paint to paint her bedroom walls.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the amount of white paint used.

y is the amount of blue paint used.

7.7 pints of blue paint and white paint to paint her bedroom walls.

This means that x + y = 7.7

1/4 of this amount is blue paint, and the rest is white paint.

The rest is 1-(1/4) = 3/4. That is, the amount of white paint is the triple of the amount of blue paint. That is, y = 3x, or x = \frac{y}{3}

Replacing in the first equation:

x + y = 7.7

\frac{y}{3} + y = 7.7

\frac{y + 3y}{3} = 7.7

4y = 3*7.7

y = \frac{3*7.7}{4}

y = 5.775

She used 5.775 pints of white paint to paint her bedroom walls.

8 0
3 years ago
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