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aalyn [17]
3 years ago
5

A toy manufacturer is preparing to manufacture a puzzle cube in two different sizes. One of the puzzle cubes will have a side le

ngth of 4 centimeters, and the size of the other is yet to be determined.
a. Write an expression to represent the total volume of two different sized puzzle cubes as a sum of cubes, using m centimeters as the side lengths of the second puzzle.

b. Factor the sum of cubes.

c. Calculate the total volume of the two puzzle cubes if m= 5 centimeters.
Mathematics
1 answer:
Kamila [148]3 years ago
8 0

Answer:

B

Step-by-step explanation:

You might be interested in
What is x to the power of 3 divided by x to the power of -5
Veseljchak [2.6K]
X to the power of 8
When dividing powers, you subtract the "small numbers". When multiplying, you add them. 3-(-5) = 8

Hope it helps!
4 0
3 years ago
After being treated with chemotherapy, the radius of the tumor decreased by 23%. What is the corresponding percentage decrease i
Crazy boy [7]

Answer:

The volume of the tumor experimented a decrease of 54.34 percent.

Step-by-step explanation:

Let suppose that tumor has an spherical geometry, whose volume (V) is calculated by:

V = \frac{4\pi}{3}\cdot R^{3}

Where R is the radius of the tumor.

The percentage decrease in the volume of the tumor (\%V) is expressed by:

\%V = \frac{\Delta V}{V_{o}} \times 100\,\%

Where:

\Delta V - Absolute decrease in the volume of the tumor.

V_{o} - Initial volume of the tumor.

The absolute decrease in the volume of the tumor is:

\Delta V = V_{o}-V_{f}

\Delta V = \frac{4\pi}{3}\cdot (R_{f}^{3}-R_{o}^{3})

The percentage decrease is finally simplified:

\%V = \left[1-\left(\frac{R_{f}}{R_{o}}\right)^{3} \right]\times 100\,\%

Given that R_{o} = R and R_{f} = 0.77\cdot R, the percentage decrease in the volume of tumor is:

\%V = \left[1-\left(\frac{0.77\cdot R}{R}\right)^{3} \right]\times 100\,\%

\%V = 54.34\,\%

The volume of the tumor experimented a decrease of 54.34 percent.

5 0
3 years ago
EMERGENCY! <br><br> How many cubes with side lengths of 1/2 cm does it take to fill the prism?
Sati [7]

Answer:

  24 cubes

Step-by-step explanation:

You can figure this a couple of ways.

I usually find it easiest to figure in terms of the number of cubes each dimension represents. The vertical dimension (3/2 cm) is the length of 3 cubes; the front-back dimension (2 cm) is the length of 4 cubes, and the width (1 cm) is the length of 2 cubes.

The total number of cubes required is the product of the dimensions in cube-lengths: 3×4×2 = 24 cubes.

__

Another way to figure this is to compute the prism volume in the given dimensions (cm³) and the cube volume in the same dimensions, then find the number of cube volumes in the prism volume.

  Prism volume = l×w×h = (2 cm)(1 cm)(3/2 cm) = 3 cm³

  Cube volume = (1/2 cm)³ = 1/8 cm³

Then the number of cubes that will fit in the prism is ...

  (3 cm³)/(1/8 cm³) = 3×8 = 24 . . . . cubes

6 0
4 years ago
What slope is parallel to:<br> m = 4
andreyandreev [35.5K]

Answer:

m = 4

Step-by-step explanation:

Parallel means to have the same slope but different x- and y- intercepts

An example would be y = 4x + 6 and y = 4x - 2

8 0
3 years ago
What is one way that oak trees can spread to different areas
crimeas [40]
By dropping acorns, and spreading them to other areas by animals and wind.
7 0
4 years ago
Read 2 more answers
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