1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
adoni [48]
3 years ago
15

Find (a) the number of subsets and (b) the number of proper subsets of the set.

Mathematics
1 answer:
vaieri [72.5K]3 years ago
3 0

Answer:

(a) Total No. of Subsets = 128

(b) Total No. of Proper Subsets = 127

Step-by-step explanation:

First we need to define the set of days of the week.

Set of Days of Week = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}

It is evident from the set of days of the week, that it contains 7 elements.

(a)

The total no. of subsets of a given set is given by the following formula:

Total No. of Subsets = 2^n

where,

n = no. of elements of the set = 7

Therefore,

Total No. of Subsets = 2^n

Total No. of Subsets = 2^7

<u>Total No. of Subsets = 128</u>

(b)

The total no. of proper subsets of a given set is given by the following formula:

Total No. of Proper Subsets = (2^n) - 1

where,

n = no. of elements of the set = 7

Therefore,

Total No. of Proper Subsets = (2^n) - 1

Total No. of Proper Subsets = (2^7) - 1 = 128 - 1

<u>Total No. of Proper Subsets = 127 </u>

You might be interested in
Graph the function g(x) = -2xl.​
sergeinik [125]

Answer:

me puede ayudar este deber

8 0
2 years ago
I have more im about to post it after this :D plz help and explain
Gnoma [55]

Answer: 2.52

Step-by-step explanation: Good luck!

4 0
2 years ago
Read 2 more answers
Alannah, Colin and Hannah visit the park and collect conkers and acorns.
Alekssandra [29.7K]

Answer:

acorns

Step-by-step explanation:

20x=9y

9/20 to 5/9

5/9 of the acorns collected are from Hannah

9/20 of the conkers collected are from Hannah

5/9 is larger than 9/20

Hannah collected more acorns

8 0
2 years ago
The volume of a Cylinder is given by the formula v=pir2h, where are is the radius of the cylinder and H is the height. Suppose a
faust18 [17]

You just need to plug those expressions inside the formula: it doesn't matter if they're expressions involving a variable instead of plain numbers: the formula becomes


V = \pi (x+8)^2(2x+3)


If you want, you can simplify it by expanding the square and then multiply the two parenthesis:


V = \pi (x^2+16x+64)(2x+3) = \pi (2 x^3 + 35 x^2 + 176 x + 192)

6 0
3 years ago
The equation a = 640s gives the relationship between s square miles and a acres. Pam owns 7.5 square miles of farmland. How many
stich3 [128]
Quantity of farmland owned by Pam = 7.5 square miles.
The other important information given in the question is the equation relating square miles and acres. Using that information, the answer to the question can be easily reached.
a = 640s
   = 640 * 7.5 acres
   = 4800 acres.
From the above deduction, we can conclude that the correct option among all the options that are given in the question is the third option or option "C".
5 0
3 years ago
Read 2 more answers
Other questions:
  • Is Sean wanted to make 3 dresses that uses 4 7/8 yards of fabric each explain how she could use estimation to make sure he has e
    7·1 answer
  • if the side length of a square can be represented by 4x + 4 and its area is 1024 square units, find the value of x
    8·2 answers
  • The quotient of a number divided by 8 decreased by 5 is equal to 15.
    14·1 answer
  • A triangle has a base of 15 feet and a height of 9.5 feet. What is the area of the triangle
    13·2 answers
  • Consider the following equation f(x)=(x^2+4)/(4x^2-4x-8)
    13·2 answers
  • Pls answer asappppp help me
    13·2 answers
  • What is the value of the power a if 5^a = 1/25?
    5·1 answer
  •  Write an equation in slope intercept form of the line shown. (4,1) (8,4)
    13·1 answer
  • What is the rule for the reflection?
    8·2 answers
  • PLEASE HELP MEeeeeee D:
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!