Answer:
Step-by-step explanation:
In order to solve this problem we can make use of the following formula:
where θ is the total angle the basket has turned, ω is the angular velocity and t is the time.
Generally theta is written in radians and omega is written in radians per second. Now, since the revolutions are directly related to the radians and they want us to write our answer in revolutions, we can directly use the provided speeds in the formula, so we can rewrite it as:
where n represents the number of revolutions and f is the frequency at which the basket is turning.
The movement of the cylindrial basket can be split in two stages, when it accelerates and when it decelerates. So let's analye the first stage:
and now let's analyze the second stage, where it decelerates, so we get:
So now that we know how many revolutions the cylindrical basket will take as it accelerates and as it decelerates we can add them to get:
n=18rev+26rev=44rev
So the basket will turn a total of 44 revolutions during this 22s interval.
The domain is the value of x, the range is the value of y.
A parabola opens infinitely to the right and left, so x can be any number, the domain is all real numbers
Vertically, however, a parabola opens only one way, either upward or downward. when it opens upward from a a certain level, say, the lower point (the vertex) has a y coordinate of 2, we say the range is all real numbers larger than or equal to 2, or y≥2. When it opens downward, we say the range is all real numbers smaller or equal to 2, y≤2
Answer:
CD = two square root of 10 end square root
Step-by-step explanation:
To find the length of a segment, use the distance formula. Substitute the order pairs for the endpoints of the segment. CD has the end points (-7, -4) and (-1, -2).
Answer:
104
Step-by-step explanation:
tan(60) = opposite/adjacent
tan(60) = X/60
X = 60×tan(60)
X = 103.9230484541
X = 104 (3 sf)
recall that when it comes to absolute value expressions, once we remove the bars, it turns always to positive, so | -5 |, the bars go poof, and tada!! 5.