Answer:
3142 feet
Step-by-step explanation:
first, find the circumference of the wheel.
approx 75.4
every one rotation you travel approximately 75.4 inches
75.4 x 500 =37,700
37,700/12 = feet traveled
3141.6... feet
rounded = 3142
444.3 = (4 x 100) + (4 x 10) + (4 x 1) + (3 x 1 /10 )
Answer
A. (4 x 100) + (4 x 10) + (4 x 1) + (3 x 1 /10 )
Answer:
The probability of choosing a professor or an instructor is 47.22%.
Step-by-step explanation:
Given that the mathematics faculty at a college consists of 11 professors, 12 associate professors, 7 assistant professors, and 6 instructors, if a faculty member is selected, to find the probability of choosing a professor or an instructor the following calculation must be performed:
11 + 12 + 7 + 6 = 100
11 + 6 = X
36 = 100
17 = X
17 x 100/36 = X
1700/36 = X
47.22 = X
The probability of choosing a professor or an instructor is 47.22%.
Dy/dx=2x+2
So velocity will be zero when 2x+2=0, x=-1
Since d2y/dx2=2, it has a constant positive acceleration of 2, so that when dy/dx=0 it is at an absolute minimum value for f(x), which is also the vertex.
y(-1)=1-2+3=2
So the vertex is at (-1,2), which is an absolute minimum so the parabola opens upwards.
And by symmetry we can say that f(0)=f(-2)=3 so you have another two points that you can see (-2,3) and (0,3)
