Answer:
75/256 in³ < 64/125 in³
Step-by-step explanation:
First, find the volumes of the two 3-D figures:
For Figure 1:
Using the volume formula:
V = l × w × h
= 6/8 × 5/8 × 5/8
= (6/8 × 5/8) × 5/8
= 30/64 × 5/8
V = 150/512
Simplify:
V = 75/256
So Figure 1's volume is 75/256 in³.
For Figure 2:
V = l × w × h
= 4/5 × 4/5 × 4/5
= (4/5 × 4/5) × 4/5
= 16/25 × 4/5
= 64/125
So Figure 2's volume is 64/125 in³.
Now, comparing the two volumes:
You can cross multiply the fractions to figure out which fraction is greater:
Figure 1 Figure 2
<u> 75 </u> = <u> 64 </u>
256 125
75 (125) = 256 (64)
9375 = 16384
So Figure 2 has the greater volume.
Your final result should be:
75/256 in³ < 64/125 in³
Answer:
62 pages
Step-by-step explanation:
The total cost function is given as below:
C= 0.06p + 12.75
C=total cost for printing= $16.47
0.06= variable printing cost per page
p=number of pages prinited=the unknown
12.75=monthly fixed printing cost
16.47=0.06p+12.75
16.47-12.75=0.06p
3.72=0.06p
0.06p=3.72
p=3.72/0.06
p=62 pages
Answer:
1. f(x) = g(x - 4)
2. g(x) = f(x + 4)
3. y = (-3/2)x + 4
4. y = (-3/2)x - 2
Step-by-step explanation:
1. Notice that the point (0, -2) lies on g(x) and the point (4, -2) lies on f(x). That means the translation function from g(x) to f(x) is 4 units to the right. So, we have: f(x) = g(x - 4).
2. This one is kind of the opposite of number 1; g(x) is 4 units to the left of f(x), so we have: g(x) = f(x + 4).
3. Slope-intercept form is: y = mx + b, where m is the slope and b is the y-intercept. Slope is change in y over change in x, so pick any two points on the line of f: (0, 4) and (4, -2).
slope = m = (4 - (-2)) / (0 - 4) = 6/(-4) = -3/2
The y-intercept is where the graph crosses the y-axis, which is (0, 4), so b = 4. Then:
y = (-3/2)x + 4
4. Pick any two points to find the slope: (-4, 4) and (0, -2).
slope = m = (4 - (-2)) / (-4 - 0) = 6/(-4) = -3/2
The y-intercept is at (0, -2), so b = -2. Then:
y = (-3/2)x - 2
Answer:
yn
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
2x+2=8
-2. -2
2x = 6
Divide by 2 on both sides
6/3
x=2
