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3 years ago

Evaluate rge following logarithmic expression without the use of a calculator.Enter your answer as a fraction reduced to lowest

terms. log8(7√64)

Mathematics

1 answer:

UNO [17]3 years ago

7 0

$\bf log_8(\sqrt[7]{64})\qquad 64=8^2\qquad log_8(\sqrt[7]{8^2})\\\\
-----------------------------\\\\
log_{{ a}}{{ a}}^x\implies x\impliedby \textit{using this cancellation rule}\\\\
-----------------------------\\\\
log_8\left( 8^{\frac{2}{7}} \right)\implies \cfrac{2}{7}$

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The swimming pool at Spring Valley High School is a rectangle with a width of 65

tatiyna

Answer:

The area of the tiled floor is given by:

area = (190m)*w + 4*w^2

Step-by-step explanation:

Remember that the area of a rectangle of length L and width W is equal to:

A = W*L

For the case of the problem, we want to find the area of the tiled floor.

Then we need to find the difference between the area of the pool including the tiled floor and the area of the pool alone.

We know that the length of the tiled floor is w.

Then if the length of the pool is 30m, the length of the pool including the tiled floor is 30m + 2*w (because we have tiles in both sides)

And if the width of the pool is 65m, then the width of the pool including the tiled floor is 65m + 2*w

Now we want to find the difference between these areas, we have:

Area of the pool alone = 65m*30m = 1950m^2

Area of the pool including the tiles = (65m + 2*w)*(30m + 2*w)

The difference is:

D = (65m + 2*w)*(30m + 2*w) - 1950m^2

D = 65m*30m + 65m*2w + 30m*2w + 4*w^2 - 1950m^2

D = (65m + 30m)*2w + 4*w^2 + (65m*30m - 1950m^2)

D = 95m*2w + 4*w^2

D = (190m)*w + 4*w^2

This is the area of the tiled floor.

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3 years ago

Meg wants to find hie nany phones the company activated in one minute explain why meg can use 15000 divided by 50 to

Gemiola [76]

Answer:

300 phones the company activated in one minute

As per unitary method, calculation been done to find the value of single unit from the value of multiple units.

So, she is dividing the total number of phone activated by number of minutes taken to activate to find phone activate in one minute.

Step-by-step explanation:

Here is the correct question: Meg wants to find how many phones the company activated in one minute. Explain why meg can use 15000 divided by 50 to find the answer.

As per unitary method, calculation been done to find the value of single unit from the value of multiple units.

Therefore, in the above question Meg knew the number of total phone activated by company in 50 minutes, which is 15000.

Now, she want to find how many phones the company activates in one minute.

So, she is dividing the total number of phone activated by number of minutes taken to activate to find phone activate in one minute.

Phones the company activated in one minute= $15000\div 50= 300\ phones$

∴ 300 phones the company activated in one minute.

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3 years ago

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Vikentia [17]

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3 years ago

Ramkin is going to flip a fair coin 100 times.

Gelneren [198K]

Answer:

50 times

Step-by-step explanation:

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Please let me know if you have any more questions. Hope this helps!

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3 years ago

What is the equation of a line that is perpendicular to -x + 2y =4 and passes through the point (-2, 1)

Trava [24]

Answer:

y = -2x - 3

Step-by-step explanation:

-solve for y: y = 1/2x + 2

-perpendicular equals opposite slope: -2

-plug in the point: (1) = -2(-2) + b

1 = 4 + b

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put it all together: y = -2x - 3

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3 years ago