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natita [175]
3 years ago
6

There are bytes in a gigabyte. There are bytes in a megabyte. How many times greater is the storage capacity of a 1-gigabyte fla

sh drive than a 1-megabyte flash drive?

Mathematics
1 answer:
anzhelika [568]3 years ago
7 0

Answer: third option.

Step-by-step explanation:

You know that:

- There are 10⁹ bytes in a gigabyte.

- There are 10⁶  bytes in a megabyte.

Then, to know how many times greater  the storage capacity of a 1-gigabyte flash drive is than a 1-megabyte flash drive, you must divide 10⁹ bytes by 10⁶ bytes.

Remember the quotient of powers property:

\frac{a^m}{a^n}=a^{(m-n)}

Then:

=\frac{10^9}{10^6}=10^3=1,000 times greater

 

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One sphere has a radius of 3 inches and another sphere has a radius of 6 inches. The volume of the larger sphere is about how ma
NikAS [45]

Answer:

8

Step-by-step explanation:

First off, we need to recognize that the formula for the volume of a sphere is \frac{4}{3} \pi r^3.

Then, we can plug in our r values one at a time.

The volume for the sphere with a 6-inch radius is about 904.779.

The volume for the sphere with a 3-inch radius is about 113.097.

To find how much greater the larger sphere is, we simply create a ratio between the two numbers: \frac{904.779}{113.097}

Do the division to find that the volume of the larger sphere is about 8 times the volume of the smaller sphere.

8 0
2 years ago
What's an equation that the passes through (-6,4) and is parallel to y=1/2x+8
deff fn [24]
By definition, if two lines share the same gradient, they are said to be parallel. So, we know for this equation, it must have a gradient of 1/2.

Now, since the point (-6, 4) passes through the line, we know it must satisfy the equation. Since we have a gradient/slope and a point, we can use the point-gradient form:

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y - 4 = \frac{1}{2}(x + 6)
2y - 8 = x + 6
2y = x + 14
y = \frac{1}{2}x + 7
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3 years ago
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Answer:

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Step-by-step explanation:

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