A prism with a volume of 450 ft³ is dilated by a factor of 2. what is the volume of the dilated prism? enter your answer in the

I believe the answer is A, since individuals employed at the largest corporation may hold different views compared to those not working in large companies. The benefits associated with one's employment can vary, and those at the major corporation may only reflect the interests of the upper class, leaving out perspectives from those who do not have high-paying corporate jobs. 

Count the total colors of beads

42+28+12+18=100

Next, calculate the sum of the yellow and green beads

42+28=70

To determine the count of beads that are neither yellow nor green, subtract from the total

100-70=30

The first answer thus is 30/100 -> 3/10 -> 30%

Now, tally the red and green beads

28+18=46

Thus, the next answer is

46/100 -> 23/50 -> 46%

5(11 squared + 1) plus 16

5(121 + 1) plus 16

5(122) plus 16

605 plus 16

p(11) equals 626

Answer:

3) A line has one dimension, length. (True)

5) A plane is made up of an infinite collection of lines. (True)

Explanation:

Geometry has three undefined terms:

a) point

b) line

c) plane

Examining the given statements:

1) A point described as (x, y) has two dimensions — this is incorrect because a point has no dimensions.

2) A plane has clear start and end points — this is false as a plane extends infinitely without boundaries.

3) A line has exactly one dimension, which is its length. (True)

4) A point consists of countless lines — this is false; actually, a line consists of infinite points.

5) A plane consists of an unending set of lines. (True)

Answer:

  (1/10)∛100 ≈ 0.4642

Step-by-step explanation:

For a cubic shape with volume V, the edge length is defined as...

  s = ∛V

and the surface area is given by...

  A = 6s² = 6V^(2/3)

The area-to-volume ratio is therefore...

  r1 = A/V = 6V^(2/3)/V = 6V^(-1/3)

When the volume V is increased by a factor of 10, the new area-to-volume ratio becomes...

  r2 = 6(10V)^(-1/3)

Consequently, the change factor for the ratio is...

  r2/r1 = (6(10V)^(-1/3))/(6V^(-1/3)) = 10^(-1/3) = (1/10)∛100

The change in surface area per unit volume results in a factor of (∛100)/10.

___

Example

For a cube with side length 2, the corresponding volume equals 2³ = 8, with a surface area of 6·2² = 24. The resulting area-to-volume ratio is 24/8 = 3.

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The area-to-volume ratio changed by a factor of (0.3∛100)/3 = (∛100)/10, as previously noted.

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