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shtirl [24]
3 years ago
14

The volume of the cube below is 1/8 cm2.

Mathematics
1 answer:
Katen [24]3 years ago
7 0

9514 1404 393

Answer:

  C)  x = 1/2 cm

Step-by-step explanation:

Apparently, we're to assume the units of x are centimeters. The volume of the cube is the product of its dimensions:

  V = x³ = 1/8

Then the value of x is ...

  x = ∛(1/8) = 1/∛8

  x = 1/2

_____

<em>Additional comment</em>

It can be useful to memorize the squares and cubes of small integers. The cubes you see most often are ...

  1³ = 1; 2³ = 8; 3³ = 27; 4³ = 64; 5³ = 125; 6³ = 216; 7³ = 343

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Mohsin purchased a 30 ounce bag of dried Turkish figs for $11.40. What is the cost per pound?
valentinak56 [21]

Answer:

$6.08 per pound

Explanation:

30 ounce ⇒ $11.40

conversions:

  • 16 ounce ⇔ 1 pound
  • 1 ounce ⇔ 0.0625 pound

solve:

  • 0.0625(30) pound ⇒ $11.40
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8 0
2 years ago
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Which expression shows the distance on a number line between -12 and-1
Sveta_85 [38]

The distance between A and B = |B - A|

We have -12 and -1.

Substitute:

|-1 - (-12)| = |-1 + 12| = |11| = 11

<h3>Answer: 11 units.</h3>
7 0
3 years ago
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Factorize 2x^4-7x^3-13x^2+63x-45 using factor theorem.
zheka24 [161]
Find the possible rational roots and use synthetic division to find the first zero.
I chose x=1 (which represents the factor "x-1")

1║2  -7  -13    63  -45
  ║     2    -5  -18    45
    2  -5  -18    45    0
(x-1) is a factor, (2x³ - 5x² - 18x + 45) is the other factor.

Use synthetic division on the decomposed polynomial to find the next zero.
I chose x = 3 (which represents the factor "x-3")

3║2  -5  -18    45 
  ║     6     3   -45   
    2   1  -15     0   

Using synthetic division, we discovered that (x-1), (x-3), & (2x² + x -15) are factors.  Take the new decomposed polynomial (2x² + x -15) and find the last two factors using any method.

Final Answer: (x-1)(x-3)(x+3)(2x-5)




8 0
3 years ago
Mr. brown gave a test today after a big football game
Ket [755]

Answer:

And?

Step-by-step explanation:

6 0
3 years ago
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HELP! Please explain
AlekseyPX

Answer:

∠1 = 110

Step-by-step explanation:

Vertically Opposite angles, means that when you have two parrallel lines,  The angles opposite of each other are equal. So 4 = 2 on the bottom line.

This means angle 1 is equal to it's opposite angle, 110'.

6 0
2 years ago
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