Answer:
1/3
Step-by-step explanation:
The average rate of change of a function f(x) on an interval [a, b] is given by the formula ...
rate of change = (f(b) -f(a))/(b -a)
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For the given function and interval, this is ...
(log₂(4·8) -log₂(4·2))/(8 -2) = (5 -3)/(6) = 1/3
The average rate of change is 1/3.
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In the attached graph, the line between the points at the ends of the interval can be seen to have a rise of 1 for a run of 3. Its slope is 1/3.
Step-by-step explanation:
In the picture above.
Number 2 I suppose that as a straight line
so , it becomes easy to solve for y angle.
I hope that it's a clear solution.
The region(s) represent the intersection of Set A and Set B (A∩B) is region II
<h3>How to determine which region(s) represent the intersection of Set A and Set B (A∩B)?</h3>The complete question is added as an attachment
The universal set is given as:
Set U
While the subsets are:
The intersection of set A and set B is the region that is common in set A and set B
From the attached figure, we have the region that is common in set A and set B to be region II
This means that
The intersection of set A and set B is the region II
Hence, the region(s) represent the intersection of Set A and Set B (A∩B) is region II
Read more about sets at:
#SPJ1
Answer:
550 mm^2
Step-by-step explanation:
A net can be drawn as shown in the first figure attached. Each square represents 5 mm by 5 mm, so is 25 mm^2. Altogether, there are 22 of them, so the total area is ...
(25 mm^2)·22 = 550 mm^2
The second attachment shows that net folded up to make the given figure.
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In the first attachment, the green shades represent the left- and right-side faces. (Darker green is left side.) The red and blue shades represent the front- and back-side faces. The white rectangles represent the top and bottom faces. The dark black lines are the cut lines. If you want to fold the figure up, the lighter lines are the fold lines.
The second attachment is just verification that all faces are accounted for and the net actually corresponds to the given figure.
