36 for the first one 39 for the second one
Answer:
The wheels make 512 revolutions per minute
Step-by-step explanation:
Diameter of truck = 36 in
Speed = 55 mi/h
Revolutions per minute =?
Radius r = diameter / 2
r = 36/2
r = 18 inches
Speed = 55 mi/h
1 mile = 63360 inches
55 miles = 55*63360 inches
55 miles = 3484800 inches
1 hr = 60 minutes
Speed = 3484800 inches/60 minutes
Speed = 58,080 inches/min
The formula used to calculate the revolutions per minute is:
revolutions = speed/Circumference
revolutions = 58,080 / 2*3.14*18
revolutions = 58,080 /113.4
revolutions = 512.16
revolutions = 512 revolutions per minute
So, The wheels make 512 revolutions per minute
Answer:
x=9
Step-by-step explanation:
(x+3)/2=6
Multiply each side by 2
2*(x+3)/2=6*2
x+3 = 12
Subtract 3 from each side
x+3-3 = 12-3
x = 9
Answer:
Observe the attached image
Step-by-step explanation:
We know that
is an exponential function, therefore its graph must have the form that corresponds to this type of functions.
The first thing to do is find the cut points of the function.
Cut point with the y axis:

The function cuts the y-axis on 
Cutting point with the x axis:

To clear x we must apply log on both sides of the equality, but the log(0) is not defined. Then, the function does not cut to the x axis.
The graph that represents the function f(x) is the one that cuts in
and does not cut the x-axis