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Zielflug [23.3K]
2 years ago
14

What is the answer for # 24?A B C or D

Mathematics
1 answer:
Rainbow [258]2 years ago
8 0

The volume of the space not filled by the sphere is the difference between the volume of a cube with edge length 6 inches and the volume of a sphere with radius 3 inches.

<h3><u>Cube</u></h3>

The volume of a cube of edge length s is

... V = s³

When the edge length is 6 in, the volume is

... V = (6 in)³ = 216 in³

<h3><u>Sphere</u></h3>

The volume of a sphere with radius r is

... V = (4/3)π·r³

When the radius is 3 in, the volume is

... V = (4/3)π·(3 in)³ = 36π in³

<h3><u>Space</u></h3>

Then the volume of the space between the cube and the sphere is

... Vcube - Vsphere = 216 in³ - 36π in³ ≈ 102.9 in³ . . . . corresponding to choice C

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Which graph represents the given equation?
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  A

Step-by-step explanation:

The axis of symmetry of quadratic ax²+bx+c is x=-b/(2a). For the given equation, the axis of symmetry is ...

  x = -4/(2(3/2)) = -4/3

The only graph with its vertex at x=-4/3 is graph A.

_____

<em>Additional comment</em>

You can also make the correct choice by evaluating the equation at a couple of different values of x. Convenient ones are x= -1, or 0, or +1. The value at x=0 is the y-intercept, (0, -2), which seems to be a point on all of the graphs. The value at x=1 is 3/2+4-2 = 3.5, which looks like it is only seen on graph A.

7 0
2 years ago
Karen is making a set of costumes for the school play using a piece of cloth. She reduces the length of the cloth she intends to
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The new length is 13.5 meters

Step-by-step explanation:

Here, we are interested in calculating the new length of the cloth she wants to use

What we know from the question is that she is making a reduction of 10% from an initial of 15 meters

Thus, the length she is to use can be calculated by first getting what 10% of 15 meters is

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6 0
2 years ago
What is 2x+3y-7=<img src="https://tex.z-dn.net/?f=2x%2B3y-7%3D" id="TexFormula1" title="2x+3y-7=" alt="2x+3y-7=" align="absmiddl
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<u>IF YOU NEED SLOPE-INTERCEPT FORM</u>

2x + 3y - 7 = 0

3y = -2x + 7

y = -\frac{2}{3} + \frac{7}{3}

<u>IF IT IS KIND OF HOW YOU WROTE IT:</u>

If it is 2x+3y-7=2x+3y-7 then the solution is 1

IF THIS IS NOT WHAT YOU NEED, <em>PLEASE </em>COMMENT WITH MORE CONTEXT! :D

5 0
2 years ago
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