Answer:
The angular velocity is 10π rad/s or 600 rad/min.
Step-by-step explanation:
angular velocity = angle/time
0.5 revolution = 0.5 × 2π = π rad
ω = θ/t = π rad/0.1 s = 10π rad/s
Convert time to minutes
ω = 10π rad/1 s × (60 s/1 min) = 600π rad/min
Answer:
They can expect to make $524
Step-by-step explanation:
Lets solve the problem
The form of the linear function is f(x) = m x + b, where m is the slope of the line and b is the y-intercept (value f(x) at x = 0)
∵ The student decided to use the points (0.5, 20) and (3, 150)
to make a better regression equation
- She calculated the slope of the line using the two points
∵
- She substituted the value of m in the form above
∴ f(x) = 52 x + b
- Than she find that the best value of f(x) at x = 0 is 4
∴ f(x) = 52 x + 4
∵ x represents the number of hours
∵ y represents the money
∵ The family decides to extend the yard sale to be 10 hours long
- That means substitute x by 10 in f(x)
∵ x = 10
∴ f(10) = 52(10) + 4
∴ f(10) = 520 + 4
∴ f(10) = 524
∴ They can expect to make $524
Answer:
16m, 24m, 38m
Step-by-step explanation:
A basic rule of forming a triangle is that any 2 sides added up must greater than the 3rd.
If we use this formula, we can push that the only one that works/is in the boudaries is the traingle with the lenghts of <u>16m, 24m, and 38m.</u>
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<em><u>Hope this helps!</u></em>
Answer:
C
Step-by-step explanation:
First of all,
- if the line goes Upward (from left to right), it is sloping upward and the correlation coefficient would be POSITIVE.
- If the line goes Downward (from left to right), it is sloping downward and the correlation coefficient would be NEGATIVE.
Since, from the graph we can see that the line is sloping upward, we know the correlation coefficient would be POSITIVE, so we can immediately eliminate choices A & B.
Now, the closer the correlation coefficient value is to 0, the less steep the line is. The closer it is to 1, the more steeper it is.
Looking at the graph, it isn't that flat, it is quite steep. So the correlation coefficient would be 0.8, NOT 0.1
So, answer choice C is right.