If the diameter is 1/2 mile, that is 0.5 mile, then the radius is 0.25 -half of it!
the angular speed is theta/time, which means
w=theta/time
but another formula for it is Velocity*radians
w=velocity*radians
velocity is 180 mph and radians are (revolution/2

radius), that is:
w=180*(1/2

*0.25)
and if we calculate this, we have: w=114.59, which is the correct answer!
Answer: 35/16
Step-by-step explanation:
Answer:
(2√5)/5
Explanation:
CHECK THE ATTACHMENT BELOW FOR DETAILED EXPLATION
From the question we can deduced that the vertical distance from the x-axis to a point on the perimeter of the circle is twice the horizontal distance, we can say that the y-coordinate, is twice of the horizontal, then let call the horizontal "y", the vertical would be 2y.
from the attachment the question on the unit circle is interpreted using a figure,then, hypotenuse was first calculated
Answer:
Yes, the function is a kernel
Step-by-step explanation:
Given
Document x an z
Function definition! k(x:z)
We want to show that the above is a kernel.
To do this, we'll explicitly construct feature vectors φ(x) and φ(z)
This gives;
K(x,z) =φ(x)·φ(z).
Given than any document; say x and z
A vocabulary V can be constructed.
Vocabulary V must have a finite size of words in the document set..
The feature mapping is constructed as φ(x) for x by the following:
For the kth word wk in V, if wk appears in document x, assign φ(x) k(the kth element ofφ(x)) to be 1; else φ(x)k to 0.
Then the number of unique words common in x and z is φ(x)·φ(z), giving us the kernel
.