Answer:
it 8
Step-by-step explanation:
4^3 is 64
2^3 is 8
64/8 is 8
Answer:
Option D.
Step-by-step explanation:
Consider the below figure attached with this question.
If a line passes through two points
and
, then the equation of line is

From the below figure it is clear that the a solid line passes through the points (-2,0) and (0,4). So, the equation of related line is




All area above the solid line is shaded. It means the sign of inequality is ≥.

From the below figure it is clear that the a dashed line passes through the points (2,0) and (0,2). So, the equation of related line is




All area below the dashed line is shaded. It means the sign of inequality is <.

System of inequality is


Therefore, the correct option is D.
<h3>
Answer: 79 full rotations</h3>
====================================================
Explanation:
150 cm = 150/100 = 1.5 m
The wheel has a diameter of 1.5 meters
The circumference of the wheel is
C = pi*d
C = pi*1.5
C = 1.5pi
C = 4.71238898038469
I'm using my calculator's stored version of pi to get the most accuracy.
Then we divide the 376.8 over the circumference found
(376.8)/(4.71238898038469) = 79.9594434093682
Despite being very close to 80, we must round down to 79 because we don't have enough to get that full 80th rotation. In other words, we have 79 full rotations and then some change leftover.
Though for the sake of simplicity, I can see how it's useful to say "about 80 rotations" if 79 seems a bit clunky. I'll stick with 79 however. Let me know if your teacher instructs otherwise.
A slope of 1/2 means for every two units to the right we move up one.
We have to be careful here because the graphs don't always use the same scale for x and y.
The bottom left uses the same scale and does indeed go two units to the right for every unit up, so that one is the answer.