Answer: 8
Step-by-step explanation: the given expression is 2n-3
so when n=1, we will get, 2(1)-3=2-3=-1
when n=2, we will get, 2(2)-3= 4-3=-1
when n=3, we will get 2(3)-3= 6-3=3
when n=4, we will get 2(4)-3 = 8-3=5
so the required result of expansion is -1+1+3+5=8
answer is 8.
hope that helped!
Basically, he said that anything with a collection of objects is a set. Having said that, we felt afterward that we could easily make up our own sets.
You could be surprised what a set could be made of. Basically, any collections of things that make sense.
Examples of sets:
1.
<span>The set of all letters in the modern English alphabet </span>
<span>What is included in that set? a, b, c, d, e, f, etc... </span>
2.
The set of all great mathematicians in the past
What is included in that set? We could mention with Carl Gauss, Isaac Newton, Einstein, Blaise Pascal, Euclid, Pierre de Fermat, etc..Sorry, I am not silly to list them all here!
3.
The set of all positive numbers less than 10
What is included in that set? 1, 2, 3, 4, 5, 6, 7, 8, 9
4.
The set of all types of sausages
What is included in that set? I am not sure I am knowledgeable enough in this area. I know Italian sausage and ???. What else? Did I miss something?
5.
The set of all states in the United States
Oh Boy.Geography! You know what.I think you got the point. Let us move on to something else
Finite and infinite set:
A set is finite if you can list all its elements and infinite otherwise.
All sets described above are finite because you can list or count all their elements
However, among the five sets, one set can be turned into an infinite set with one small change. That set is set number 3
If I get rid of the word positive and say instead "the set of all numbers less than 10" the set in now infinite because you cannot count all those numbers less than 10.
Ways to define a set:
a. With a verbal description: All sets above are described verbally when we say, " The set of all bla bla bla "
<span>b. A listing of all members separated by commas with braces ({ and }): </span>
A listing of set 1 is written as: {a, b,c,d,e,f,....,z}
c. Set-builder notation:
Set 1 and set 4 can be written as { x / x is a letter of the modern English alphabet} and { x / x is a type of sausage}
{ x / x is a letter of the modern English alphabet} is read, " The set of all x such that x is a letter in the modern English alphabet
Set-builder is an important concept in set notation. You must understand it.
We use capital letters such as A, B, and so forth to denote sets
For example, you could let A be the set of all positive numbers less than 10.
<span>We use the symbol </span>Î<span> to indicate that an object belongs to a set and the symbol </span>Ï<span> to indicate that an object does not belong to a set</span>
For example, if A is the set of all positive numbers less than 10, then 2 ∈ A, but 12 ∉ A
<span>A set that has no element is called </span>empty set<span> and is denoted by { } or ∅ </span>
For example, {x / x is a human being who have lived 10,000 years} is an empty set because it is impossible to find at least one human being who have lived so long
Two sets are equal if they have exactly the same element
For example, { x / x is a number between bigger than 1 and less than 5} and { 2, 3, 4} are equal sets
Subtleties with set notation:
Two sets are still equal even if the same element is listed twice
{ 2, 3, 4} and { 2, 3, 3, 4} are equal
The order of elements in sets does not matter
{ 2, 3, 4} = { 2, 3, 3, 4} = { 4, 3, 2}
Answer:
<h3><em>Bar graphs show data involved in distinct categories that do not overlap; whereas, pie charts show data as parts out of a whole (such as out of 100%).</em></h3>
Step-by-step explanation:
A bar graph, also called a bar chart, is used to present categorical variables, which involves rectangular bars with a correlation between a specific category and the frequency of them, this graphs can be also called histograms. It's used in statistics to describe a bunch a data, separating them in categories. This charts can be horizontal or vertical, and an important characteristics is that it's applied to represent discrete categories, that is, values expressed with whole numbers. (An example is attached).
On the other hand, pie charts, or circular charts, are used to indicate proportions from a whole part, like a pie or cake, you have a whole and 100% data and you divided into slices. For example, from the whole population in the U.S. we could divide it by ethnicity, parts from a whole, like show the image attached.
<h3>Therefore, based on each definition, the correct answer is:</h3>
<em>Bar graphs show data involved in distinct categories that do not overlap; whereas, pie charts show data as parts out of a whole (such as out of 100%).</em>
Answer: $485.63
Step-by-step explanation:
she sells 2 dozen cookies for $12.95
2 dozen = 24 cookies
1,800/24 = 75 dozen cookies
75 x 12.95 = $971.25
$971.25/2= $485.625
$485.63
Answer:
GGHHDGGSHHDGGD 646962346437 EXPLANATION SDBFJVFDHBHCBJHBJDBSJBDCJBSJ7487264R63456DBVJHBFDVBFJDBVBJ VKJHBDFB VKJBDJH VJHSBJFBEFBBWE HEWBFHWH FKDHWBFH KJF KJHERF EFJKD FKVDJFHVJ DS VHUOBVJK DFKHVBKJ FDVKHKJFBVKJ DFV HFD VKJ FDV BFD VBDJNV DFJKVBHFD VDJFSVHSJHVJ DVHDVH DJSK VJDSBFVJ DFKJ VINDSFHBV SDF VNDFJK VJLDFNHSVK DFJLNVJS DVBDFV KH
Step-by-step explanation:
