Answer:
233 in^3
Step-by-step explanation:
First we will find the volume of the square at the bottom
V = s^3 where s is the side length
V = 5^3
V = 125 in^3
Then we will find the volume of the rectangular prism at the top
V = l*w*h
V = 12*3*3
V =108 in^3
The total volume is the sum of the two volumes
V = 125+108
= 233 in^3
Answer:
It's D.
Step-by-step explanation:
If you want me to explain it, I will. But it seems like you need the answer fast. So if you still don't understand it later, then I will try to explain it...but it'll take some time. :)
All you have to do is move all the points to the right 6 numbers because it says x+6. For example, A is (-5,-1). Move to the right 6 times, so (-5+6,-1) which is (1, -1). So the new point of A is (1, -1). Do the same with the others. Now that we got the new rectangle in the fourth quadrant, you want to move it counterclockwise around the origin, which is 0. Clockwise is like a clock, it goes around the middle going to the right. Counterclowise is the same, except it goes to the left around the middle of the clock. You can sort of apply that to this. Go counterclockwise around the middle, in this case being the origin, 0. Move the rectangle up to the first quadrant because counterclockwise is going around to the left. So, if the rectangle goes around to the left, then that means that it is now vertical...because it turns to the left making it straight if you go counterclockwise. Now the point A is on the bottom left because the rectangle got turned. If you turned it properly, then A should be at (1,1). Apply the same thing to the other points. D is the only one with point A being at the point (1,1), so that is correct. Check the other points anyway.
Answer:
Average rate of change = 1
Step-by-step explanation:
Average rate of change of a function between x = a and x = b is defined by,
Average rate of change = 
We have to find the average rate of change of the function in the interval 2 ≤ x ≤ 4
Therefore, average rate of change of the function = 
From the graph attached,
f(4) = 4
f(2) = 2
Average rate of change = 
= 1
Therefore, average rate of change of the function in the given interval is 1.
