15.04.2022

Given the universal set U consisting of all integers between and including 1 and 20, and let the set A consist of all of the powers of 2 (integers of the form 2n where n is a whole number) within the universal set. Find the complement of the set A. Write your answer in proper set notation, for example {1,2,3,4,5,6}.

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09.07.2023, solved by verified expert
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Given the universal set U consisting of all integers, №18010789, 15.04.2022 17:28.

Step-by-step explanation:

The integer powers of Given the universal set U consisting of all integers, №18010789, 15.04.2022 17:28 between Given the universal set U consisting of all integers, №18010789, 15.04.2022 17:28 and Given the universal set U consisting of all integers, №18010789, 15.04.2022 17:28 are:

Given the universal set U consisting of all integers, №18010789, 15.04.2022 17:28.Given the universal set U consisting of all integers, №18010789, 15.04.2022 17:28.Given the universal set U consisting of all integers, №18010789, 15.04.2022 17:28.Given the universal set U consisting of all integers, №18010789, 15.04.2022 17:28.Given the universal set U consisting of all integers, №18010789, 15.04.2022 17:28.

Thus, Given the universal set U consisting of all integers, №18010789, 15.04.2022 17:28.

The complement of set Given the universal set U consisting of all integers, №18010789, 15.04.2022 17:28 (denoted as Given the universal set U consisting of all integers, №18010789, 15.04.2022 17:28) includes all elements of the universal set Given the universal set U consisting of all integers, №18010789, 15.04.2022 17:28 that are not in set Given the universal set U consisting of all integers, №18010789, 15.04.2022 17:28.

For example, the element Given the universal set U consisting of all integers, №18010789, 15.04.2022 17:28 is in Given the universal set U consisting of all integers, №18010789, 15.04.2022 17:28 and is also in Given the universal set U consisting of all integers, №18010789, 15.04.2022 17:28. Thus, Given the universal set U consisting of all integers, №18010789, 15.04.2022 17:28 isn't in Given the universal set U consisting of all integers, №18010789, 15.04.2022 17:28.

The element Given the universal set U consisting of all integers, №18010789, 15.04.2022 17:28 is in Given the universal set U consisting of all integers, №18010789, 15.04.2022 17:28 and isn't in Given the universal set U consisting of all integers, №18010789, 15.04.2022 17:28. Thus, Given the universal set U consisting of all integers, №18010789, 15.04.2022 17:28 is in Given the universal set U consisting of all integers, №18010789, 15.04.2022 17:28.

Repeat this decision process for each element of Given the universal set U consisting of all integers, №18010789, 15.04.2022 17:28 to enumerate Given the universal set U consisting of all integers, №18010789, 15.04.2022 17:28:

Given the universal set U consisting of all integers, №18010789, 15.04.2022 17:28.

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Mathematics
Step-by-step answer
P Answered by Specialist

\begin{aligned}\lbrace & \; 3,\, 5,\, 6,\, 7,\, 9,\, 10, \\ &\; 11,\, 12,\, 13,\, 14,\, 15,\, 17, \\ &\; 18,\, 19,\, 20\rbrace\end{aligned}.

Step-by-step explanation:

The integer powers of 2 between 1 and 20 are:

2^{0} = 1.2^{1} = 2.2^{2} = 4.2^{3} = 8.2^{4} = 16.

Thus, A = \lbrace 1,\, 2,\, 4,\, 8,\, 16 \rbrace.

The complement of set A (denoted as A^{C}) includes all elements of the universal set U that are not in set A\!.

For example, the element 1 is in U and is also in A. Thus, 1 isn't in A^{C}.

The element 3 is in U and isn't in A. Thus, 3 is in A^{C}.

Repeat this decision process for each element of U to enumerate A^{C}:

\lbrace 3,\, 5,\, 6,\, 7,\, 9,\, 10, \, 11,\, 12,\, 13,\, 14,\, 15,\, 17, \, 18,\, 19,\, 20\rbrace.

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Mathematics
Step-by-step answer
P Answered by PhD
The answer is in the image 

The answer is in the image 

Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg

Mathematics
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

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