<img src="https://tex.z-dn.net/?f=%20log_%7Ba%7D%28%20%5Csqrt%7Ba%7D%20%5Csqrt%7Ba%7D%20%5Csqrt%7Ba%7D%29" id="TexFormula1" titl

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Artyom0805 [142]

3 years ago

11

e=" log_{a}( \sqrt{a} \sqrt{a} \sqrt{a})" alt=" log_{a}( \sqrt{a} \sqrt{a} \sqrt{a})" align="absmiddle" class="latex-formula">

1 answer:

ad-work [718]3 years ago

5 0

Step-by-step explanation:

$log_{a}(a) ^{x} = x$

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A dog won a race at the local fair by running 3 and one fourth miles in exactly 2 hours. At this constant rate, how long does i

Novosadov [1.4K]

Answer:

$\frac{4}{5}$ hour

Step-by-step explanation:

Let x represent time taken by dog to run the 1 and three tenths -mile state fair race.

We have been given that a dog won a race at the local fair by running 3 and one fourth miles in exactly 2 hours.

We will use proportions to solve our given problem as:

$\text{Speed}=\frac{\text{Distance}}{\text{Time}}$

We will equate both speeds as:

$\frac{1\frac{3}{10}}{x}=\frac{3\frac{1}{4}}{2}$

$\frac{\frac{13}{10}}{x}=\frac{\frac{13}{4}}{2}$

$\frac{13}{10\cdot x}=\frac{13}{4\cdot 2}$

Cross multiply:

$13\cdot 10\cdot x=13\cdot 4\cdot 2$

$10\cdot x=4\cdot 2$

$\frac{10\cdot x}{10}=\frac{4\cdot 2}{10}$

Therefore, it will take $\frac{4}{5}$ hour to complete $1\frac{3}{10}$ mile state fair race.

7 0

3 years ago

The hypotenuse of a right triangle is three times the length of one of its legs. The length of the other leg is four feet. Find

andre [41]

Hello!

It is given information that this triangle is a right triangle, meaning that the Pythagorean Theorem can apply here.

$a^2+b^2=c^2$

We can set the length of a leg as an unknown variable $x$ .

$x^2+4^2=(3x)^2$

Remember that it is the whole $3x$ term being squared, meaning that it'll simplify to $9x^2$ , not $3x^2$ .

$x^2+16=9x^2$

$8x^2=16$

$x^2=2$

$x=\sqrt{2}$

This means we can plug back in to find the sides.

The hypotenuse would be $3\sqrt{2}$ , or 4.2.

And the legs would be 1.4 and 4, respectively.

Hope this helps!

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3 years ago

John has 34 bottle caps Logan has 4 times as many bottle caps as John ?

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Answer:

136

Step-by-step explanation: 34 multiplied by 4

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3 years ago

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A box of 8 snack bars costs $24.72. A single snack bar costs $3.47. What is the savings on each snack bar if you buy a box of 8

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You would save $3.04

4 0

3 years ago

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I turned the dial on my stove 45 degrees from the start position If i continue to turn the dial how many degrees further will i

Debora [2.8K]

Answer:

Hello!

YOUR ANSWER IS 315 DEGREES MORE

Step-by-step explanation:

To get it to the start position is the same as TURNING IT 360 DEGREES!

So from 45 degrees to reach 360 degrees...another 315 degrees will be needed!

HOPE THIS HELPS!!

4 0

3 years ago