Answer: The students did not do anything wrong, they were right
Step-by-step explanation:
3:4 is divisible by 9:16 and by 18:64
Answer:
<em>start with g </em>
g
<em>subtract 7</em>
g-7
<em>multiply by 3</em>
3(g-7)
<u>Therefore the expression is </u>
3g-21
The shape shown here is a triangular pyramid, because it has a triangular base and a pointy tip.
Answer:
The inverse relation G^(-1) is not a function. Why not? Because the y value y = 3 is paired up with more than one x value (x = 5, x = 2). The inverse relation G^(-1) is the set shown below
{(3,5), (3,2), (4,6)}
All I've done is swap the (x,y) values for each ordered pair to form the inverse relation. As you can see, x = 3 leads to multiple y value outputs which is why this relation is not a function. So in short, the answer is choice C. To have the inverse relation be a function, each value in the original domain must map to exactly one value in the range only. However that doesn't happen as the domain values map to an overlapping y value (y = 3).
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.
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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
