Answer:
Range = [- 2.5, 0.5] = [ - 5/2, 1/2]
Step-by-step explanation:
Smallest value of cos α = - 1,
largest value of cos α = 1.
When cos 4x = - 1, y=3/2cos4x-1 = 3/2*(-1) - 1 = - 5/2 = - 2 1/2 = - 2.5
When cos 4x = 1, y=3/2cos4x-1 = 3/2*1 - 1 = 1/2 = 0.5
Range = [- 2.5, 0.5] = [ - 5/2, 1/2]
He will need 527.52 cubic centimeters of wax. You divide the diameter by 2 ten multiply that number by itself to get the circumference. From there you multiply it by 12 then by 4 and there's your answer
A translation is a transformation that slides each point of a figure the same distance in the same direction. The lines connecting each point of the preimage to its image are congruent. One type of transformation that is not an isometry is called a dilation<span>.</span>
We have to use physics: vm = d/t
Where vm = average velocity
d = distance that one travel
t = time in which you travel
Using this formula we know that t = d/vm
First, we find how much time does it take to the rink:
t = 120/55
After we find out the time we have left:
2.75-120/55
Using the same formula we can now calculate the average on his way home =
120/(2.75-120/55)
The final equation:
x= 120/(2.75-120/55) = 211,2 miles per hour