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Anarel [89]
2 years ago
12

What is 64x12 – 1,000 written as a difference of cubes?

Mathematics
1 answer:
Anarel [89]2 years ago
5 0
64x12-1,000 written as a difference of cubes is (4x4)3-103
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For each diagram, describe a translation, rotation, or reflection that takes line ℓ to line ℓ′. Then plot and label A′ and B′, t
inn [45]

Answer:

  1. translate down 3
  2. reflect across the horizontal line through A

Step-by-step explanation:

1. There are many transformations that will map a line to a parallel line. Translation either horizontally or vertically will do it. Reflection across a line halfway between them will do it, as will rotation 180° about any point on that midline.

In the first attachment, we have elected to translate the line down 3 units.

__

2. Again, there are many transformations that could be used. Easiest is one that has point A as an invariant point, such as rotation CW or CCW about A, or reflection horizontally or vertically across a line through A.

Any center of rotation on a horizontal or vertical line through A can also be used for a rotation that maps one line to the other.

In the second attachment, we have elected to reflect the line across a horizontal line through A.

6 0
3 years ago
The system of equations is graphed on the coordinate plane.
ehidna [41]

Answer: The solution is (3, -2)

This means that x = 3 and y = -2 pair up together.

=====================================================

Explanation:

The solution is where the two lines cross. Note if we started at the origin (0,0) and moved to the right 3 units, and then down 2 units, we would arrive at the location (3, -2).

-----------------

As a way to check, we can plug x = 3 into each equation. We should get y = -2 as a result for each equation

y = (-5/3)x + 3

y = (-5/3)*3 + 3

y = -5+3

y = -2

The first equation is confirmed. Let's check the second equation

y = (1/3)x - 3

y = (1/3)*3 - 3

y = 1 - 3

y = -2

Both equations have the y value equal -2 when x = 3. Therefore, the overall solution is confirmed.

3 0
2 years ago
13. Given the following historical data and weights of .5, .3, and .2, what is the three-period weighted moving average forecast
Ostrovityanka [42]

Answer:

b. 144.8

Step-by-step explanation:

When calculating the moving average estimate of an observation , each of the observations are usually computed with the same weighted . In some cases, it is  beneficial to assign different  weight on the observations  such that the observation closer to the time period being forecast, has higher weight.  This is refer to as weighted moving average technique. The sum of the individual weight in a weighted moving average technique must equal to 1.

The three-period weighted moving average forecast for period 5 = 144*0.5 + 148 *0.3 + 142 *0.2 =  144.8

4 0
3 years ago
Summer spent $55.60 on clothes before sales tax. If sales tax is 7.5%, what did Summer spend with tax included?  *Add Explanatio
vampirchik [111]
$59.77. Turn the percent into a decimal by moving the decimal to the left two places (7.5 to 0.075). Then multiply the new decimal by the cost (55.60×0.075=4.17). 4.17 would be the total sales tax, so then add it to the price (55.77+4.17=59.77). Hope that helped.
3 0
3 years ago
the property that says you can add and multiply in any order, without changing the answer is called the____ property
damaskus [11]

Answer: Associative property

4 0
3 years ago
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