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stealth61 [152]

4 years ago

) " alt=" log_{2}( {0.5}^{3} ) " align="absmiddle" class="latex-formula">
How do you solve this guys ?

Mathematics

1 answer:

erik [133]4 years ago

6 0

Step-by-step explanation:

$log_{2}( {0.5}^{3} ) \\\\=log_{2}( {0.5})^{3} \\ \\ = 3log_{2} {0.5} \\ \\ = 3log_{2} \frac{1}{2} \\ \\ = 3(log_{2} 1 - log_{2} 2) \\ \\ = 3(0 - 1) \\ \\ = 3 \times ( - 1) \\ \\ = - 3 \\ \\ \huge \purple{ \boxed{\therefore \: log_{2}( {0.5})^{3} = - 3}}$

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Cube 1 has a volume of c3. The side lengths of Cube 2 are three units longer than those of Cube 1. What is the volume of Cube 2?

kotegsom [21]

Volume of a Cube:
Since all of the edges of a cube are of equal length, there is no need to differentiate between the length, width and height. The volume of a cube is determined by multiplying the length of three edges of the cube. Let "a" define the length of an edge of the cube.

Then the volume formula is defined as:
V = a × a × a
This formula is also written as V = a³.

If a = 5 feet, then the volume is found like this:
V = (5)³ = 5 × 5 × 5 = 125: Since each value is a measurement of feet, the volume is therefore 125 cubic feet.

Example 1: Find the volume of a solid cube shape box whose side is 13m.
Solution:
Given that: side a = 3m
Volume of the cube is therefore:
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Example 2: Find the measure of volume of a cube for the given side length is 20 inches?
Solution:
Given that: Side a = 20 inches
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V = a³
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Example 3: Find the volume of a cube for the given side length 12.5 meter?
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4 0

3 years ago

On the coordinate grid, the graph of y= 3/x-1+3 is shown. it is a translation of y =3/x

crimeas [40]

Answer:

1 unit right and 3 units up

Step-by-step explanation:

The graph of the given function has equation

$f : y = \frac{3}{x - 1} + 3$

This is obtained after translating the graph of

$g : y = \frac{3}{x}$

We can rewrite f in terms g to obtain:

$f(x) = g(x - 1) + 3$

This is a shift to the right by 1 unit and and a shift up by 3 units.

Therefore

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

is a translation of

$y = \frac{3}{x}$

1 unit right and 3 units up

7 0

4 years ago

Three consecutive odd integers have a sum of 33

KATRIN_1 [288]

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4 0

3 years ago

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RideAnS [48]

Step-by-step explanation:

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