Answer:
a linear relationship exists between variables
Step-by-step explanation:
Plug -8 in for x:
4(-8) + 5
solve:
-32 + 5
-27
Answer:
t = 1.57 sec
distance, d = 98.65 mm
Step-by-step explanation:
Given an angle of 540°
At 6 revolutions per second, which is the angular velocity.
Radius, r = 10 mm
We are asked to find the time and the distance.
To find the time, let's use the formula:

Where
= angle in radians.
Converting 540° to radians, we have:

Therefore, from the formula, let's find t.


time = 1.57
To find the distance, we have:
d = 98.65 mm
Therefore, the time is 1.57 seconds and the distance is 98.65 mm
Answer: The comparison is mentioned below.
Step-by-step explanation:
A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally.
Therefore its slope = length of the equipment vertically / length of equipment horizontally
= 6/4 = 3/2 = 1.5
And, A piece of climbing equipment at a gym is 10 feet high and extends 6 feet horizontally.
Therefore slope,
= 10/6 = 5/3=1.67 (approx)
Since,
<
Thus the slope of equipment first is less than slope of second equipment.
We would assume the lot takes a rectangular shape. With that in mind. the area of the rectangular plot is 48, 000 and its width is 240. We only need to know the area of a rectangle which is L * W.
So 48, 000 = L * 240
L = 48, 000/ 240
L = 200
It is 200 square feet deep.