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4 years ago

Choose the correct simplification of the expression (8x2)3. 24x6 512x6 512x5 24x5

Mathematics

2 answers:

oksano4ka [1.4K]4 years ago

8 0

Answer:

The correct option is 512x^6

Step-by-step explanation:

The given expression is:

(8x^2)^3

We can break the expression like,

(8)^3 * (x^2)^3

Now 8^3 means 8 will be multiplied 3 times:

8^3 = 8*8*8= 512

And in (x^2)3 the square will be multiplied by power of 3

(x^2)^3= x^6

Therefore,

(8x^2)^3=(8)^3 * (x^2)^3 = 512x^6

Thus the correct option is 512x^6....

geniusboy [140]4 years ago

4 0

(8x^2)^3

(8)^3 * (x^2)^3

8^3 = 8*8*8= 512

(x^2)^3= x^6

(8x^2)^3=(8)^3 * (x^2)^3 = 512x^6

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In high school, some students have been confused to believe that 22/7 is already the actual value of π or an acceptable approxim

jarptica [38.1K]

Answer:

Since it has smaller absolute and relative errors, 355/113 is a better aproximation for $\pi$ than 22/7

Step-by-step explanation:

The formula for the absolute error is:

Absolute error = |Actual Value - Measured Value|

The formula for the relative error is:

Relative error = |Absolute error/Actual value|

I am going to consider the actual value of $\pi$ as 3.14159265359.

In the case of 22/7:

22/7 = 3.14285714286.

Absolute error = |3.14159265359 - 3.14285714286| = 0.00126448927

Relative error = 0.00126448927/3.14159265359 = 0.00040249943 = 0.04%

In the case of 355/113

355/113 = 3.14159292035

Absolute error = |3.14159265359 - 3.14159292035| = 0.00000026676

Relative error = 0.00000026676/3.14159265359 = 0.000000085 = 0.0000085%

Since it has smaller absolute and relative errors, 355/113 is a better aproximation for $\pi$ than 22/7

5 0

4 years ago

If the salesperson sold FOUR TVs at $885 each, how much commission did they

Ann [662]

Answer: 221.25

Step-by-step explanation:

885 divided by 4

8 0

3 years ago

Which number is a perfect cube? O25 O36 O125 O300<br><br><br> please

madam [21]

Answer:

125

Step-by-step explanation:

We're looking for a number that we can multiply three of the same number to get. For example, 25 is a perfect square, because 5*5 = 25.

You can test these all on your calculator, if you're allowed! Just take the third root of all of them, and if it's a whole number, you know you have a perfect cube.

The answer, though, is 125, because 5*5*5 = 125.

6 0

3 years ago

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MrMuchimi

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4 years ago

Is the following shape a square? How do you know?

nevsk [136]

Answer:

C. Yes the opposite sides are parallel and all sides are the same length.

Step-by-step explanation:

Hello! The answer is C. A square is, "a plane figure with four equal straight sides and four right angles." Looking at the shape, it matches the definition. Therefore, C. Have an awesome day! :)

3 0

3 years ago