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GarryVolchara [31]
3 years ago
15

Using complete sentences,explain what infinite set is. In your answer give it at least two examples of infinite sets

Mathematics
2 answers:
yaroslaw [1]3 years ago
7 0
Infinite means everlasting it doesn’t stop it keeps going
Crazy boy [7]3 years ago
3 0

An infinite set is exactly what its name suggests: <em>a set with an infinite number of elements</em>.

One example that you'll no doubt be familiar with is the set of natural numbers, N. Also called the "counting numbers," the natural numbers are the positive whole numbers 1, 2, 3, etc. Since there is no "last" natural number, N is considered an infinite set. More specifically, it's what's called <em>countably infinite</em>. More on that in a bit.

Another example of an infinite set is the set of real numbers, R, which includes all of the naturals, integers, rationals, and irrationals. R is also an infinite set, but it turns out, shockingly, that it's <em>a bigger kind of infinity; </em><em>uncountably infinite</em>, to be precise. We say that a set is <em>countably infinite </em>if every element can be matched up with a natural number - in other words, if there's a way the elements can be lined up and counted one after another in some way. This is true of the integers and rational numbers (and I've attached one way you can "count" the rational numbers in order), but <em>not </em>the irrationals.

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How many times 9 go into 20
Genrish500 [490]
20:9=\dfrac{20}{9}=\dfrac{18+2}{9}=\dfrac{18}{9}+\dfrac{2}{9}=2\dfrac{2}{9}

Answer: 2 times.
8 0
3 years ago
The mean of seven positive integers is 16. When the smallest of these seven integers is removed, the sum of the remaining six in
VashaNatasha [74]

Answer: The value of the integer that was removed = 4

Step-by-step explanation:

Sum of <em>n</em> values= Mean x <em>n</em>

Given: n = 7 , Mean = 16

Let x= integer removed.

Sum of remaining 6 integers = 6

\Rightarrow\ x+108 = 16\times7\\\\\Rihghtarrow\ x+108= 112\\\\\Rightarrow\ x=112-108\\\\\Rightarrow\ x= 4

Hence, the value of the integer that was removed = 4

8 0
3 years ago
The sum of three numbers is 113 . The second number is 3 times the third. The first number is 7 less than the third . What are t
OLga [1]
Number 1 = 17
number 2 = 72
number 3 = 24


work:

the three numbers are symbolized as x, y, and z

x + y + z = 113

number 2 (y) is 3 times the third number (z) so 

y = 3z

so x + 3z + z = 113

the first number (x) is 7 less than than the third number (z) so

x = z - 7

so z -7 + 3z + z = 113

5z - 7 = 113
5z = 120

z = 24

x = 17
y = 72

Hope this helped :)
8 0
3 years ago
Which expressions is equivalent ?
agasfer [191]
<h3>3 Answers: Choice C, Choice D, Choice F</h3>

What these expressions have in common is that their exponents multiply to 16

  • (-4)*(-4) = 16 for choice C
  • (-2)*(-8) = 16 for choice D
  • 8*2 = 16 for choice F

The rule used here is (a^b)^c = a^(b*c). We multiply the exponents and keep the base the same.

7 0
3 years ago
Point B has coordinates ​(2​,1​). The​ x-coordinate of point A is −3. The distance between point A and point B is 13 units. What
leva [86]

Answer:

A = (-5,y)    B = (4,1)  

6 0
3 years ago
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