3. represents the sets with a venn diagram: u = {1,2,3,4,5,6,7,8,9, 10, 11, 12} a = {1,2,3,4,6, 12} b = {1,2,4,8}

See explanation and picture attached

Step-by-step explanation:

A set can be described by listing all of its elements.  

For example, A = { 2, 4, 6, 8}, which we read as  

“A is the set whose elements are 2, 4, 6 and 8”.  

The four elements of the set are separated by commas, and the list is enclosed between curly brackets.  

A set can also be described by writing a description of its elements between curly brackets.  

Thus the set A above can also be written as  

A = { even natural numbers less than 9 }, which we read as  

“A is the set of even natural numbers less than 9”.  

A set can also be described graphically by using Venn diagrams, which are simply circle shaped drawings showing the elements inside.

In our case U={1,2,3,4,5,6,7,8,9,10,11,12} A={1,2,3,4,6,12} B={1,2,4,8}

See picture attached for the answer.

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

we'll this would mean that the dunk tank and the bounce house are the same for 20 hours because the 2 represents that the two activities, and the 20 represents the amount of hours they both are. so with this said, it means that the answer is c. the costs for a dunk tank and bounce house are the same for 20 hours.

c.the costs for a dunk tank and bounce house are the same for 20 hours.

hope this .