Answer:
The options as included in the attachment section are:
A. real numbers B.Cardinality C.element D.Set
The answer is D. Set
Step-by-step explanation:
In mathematics, a set is a group of well-defined objects that share common characteristics as rightly stated in this question. So in a mathematical calculation, the elements or objects collected as a group is called SET. The types of set include empty set, finite set, infinite set, universal set etc.
- Since set represents the whole collection or group, each object, which can be number, letter etc. in the group is an ELEMENT. Likewise, the cardinality of a set refers to the number of elements contained in a particular set.
Hi there!
Let's solve this inequality step by step!

First collect the terms on the left.

In order to solve, we must isolate r. Therefore we need to bring them all to the left. Our next step will therefore be to add 3r to both sides of the equation.

Finally we need to divide both sides of the equation by -1. Because we divide by a negative, the sign flips.

Hence, the answer is r < -3.
~ Hope this helps you!
Answer:
D) $2.81
Step-by-step explanation:
3.8 x .74 = 2.81
The formula for an exponential equation is y = a * b^x with a and b being a fixed value.
"a" would also be the Y intercept, which is where the graph touches or crosses the Y axis. In the given graph, the curved line touches the Y axis at 100, so the value of a would be 100.
Now we need to find b.
The blue dot at Y 50 is lined up with x = 1, so we can use the point (1,50)
Using the X and Y values we can solve for b:
format: y = a * b^x we replace the letters with the numbers above:
50 = 100 * b^1
b^1 = b so now we have:
50 = 100 *b
Divide both sides by 100 to get b by itself:
b = 50/100, which reduces to 1/2, so b = 1/2
So the equation of the graph becomes y = 100(1/2)^x
You may need to write the 1/2 as 0.5, not sure how you need to enter it.