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
juin [17]
2 years ago
5

Calculate the number of subsets and the number of proper subsets for the set.

Mathematics
1 answer:
arlik [135]2 years ago
6 0

A set of n elements has 2ⁿ subsets. One of these subsets is the set itself, so this set would have 2ⁿ - 1 <em>proper</em> subsets.

The given set has 4 elements, so it has 2⁴ = 16 subsets and 2⁴ - 1 = 15 proper subsets.

Just to illustrate the claim, we have

• subsets of size 0 (1 of these):

{ } (empty set)

• subsets of size 1 (4 of these):

{1/6}, {1/7}, {1/8}, {1/9}

• subsets of size 2 (6 of these):

{1/6, 1/7}, {1/6, 1/8}, {1/6, 1/9}, {1/7, 1/8}, {1/7, 1/9}, {1/8, 1/9}

• subsets of size 3 (4 of these):

{1/6, 1/7, 1/8}, {1/6, 1/7, 1/9}, {1/6, 1/8, 1/9}, {1/7, 1/8, 1/9}

• subsets of size 4 (1 of these):

{1/6, 1/7, 1/8, 1/9}

and the last one is the only subset that is not a proper subset, because that subset = the set.

You might be interested in
T -10 -9 -8-7-6-5-4-3-2-1. 0 1 2 3 4 5 6 7 8 9
Ainat [17]
The correct answer is C !
7 0
3 years ago
Read 2 more answers
Help plzzz<br>Select the correct answer.<br>​
Morgarella [4.7K]
<h3>Answer:  C) 3</h3>

=========================================================

Explanation:

f(x) is the outer function, so the final output -8 corresponds to f(x)

We see that f(-4) = -8 in the first column of the table. I'm starting with the output and working my way backward to get the input. So we started with -8 and worked back to -4.

Then we move to the g(x) function to follow the same pattern: start with the output and move to the input. We start at -4 in the g(x) bubble and move to 3 in the x bubble.

In short, g(3) = -4

So,

f(g(x)) = f(g(3)) = f(-4) = -8

We see that x = 3 leads to f(g(x)) = -8

3 0
3 years ago
Dominic bought a new alarm clock that was on sale for $18.75. If this price represents a 30% discount from the original price, w
Orlov [11]
P - 0.30= $18.75


18.75 + 0.30 = p


$19.05 = p


6 0
3 years ago
Which expressions are equivalent to the given expression?
gizmo_the_mogwai [7]

Answer: Choice C. \frac{1}{x^{2}y^{5}  }and Choice E. x^{-2} y^{-5}

Step-by-step explanation:

Algebraic exponents.

5 0
3 years ago
Read 2 more answers
-8+5w^4=28 what is w=
Murljashka [212]

Answer:

w = ±\sqrt[4]{36/5}

Step-by-step explanation:

-8+5w^4=28

You can regroup it:

5w^4 - 8 = 28

Add 8 to both side:

5w^4 = 28 + 8

5w^4 = 36

Divide both side by 5:

5w^4/5 = 36/5

w^4 = 36/5

Take the 4 root of both sides:

w = ±\sqrt[4]{36/5}

Hope this help you :3

3 0
3 years ago
Read 2 more answers
Other questions:
  • Jon borrows 5.50 from his friends to pay for snacks, and 12.75 from his sister to go the movies. How much does he need to repay
    8·2 answers
  • Simplify (3x)-1. A. 81x^4. B. 4x^6. C. 1/3x. D. 1/x^6
    7·1 answer
  • A store makes a 20 ounce cup of coffee that is 70% and 30% steamed milk. How many ounces of milk is used in a 20 ounce cup of co
    11·1 answer
  • 7÷849<br><img src="https://tex.z-dn.net/?f=7%20%5Cdiv%20849%20%3D%20" id="TexFormula1" title="7 \div 849 = " alt="7 \div 849 = "
    12·2 answers
  • Jodi poured herself a cold soda that had an initial temperature of 40degreesF and immediately went outside to sunbathe where the
    7·1 answer
  • jackie needs 0.7 meters of canvas material to make a​ carry-all bag for his wheelchair. If canvas is $4.18 per meter, how much w
    9·1 answer
  • Angela’s average for six math tests is 87. on her first four tests she had scores of 93, 87, 82, and 86. on her last tests she s
    7·1 answer
  • Find the value of x.
    10·1 answer
  • 7. A number is multiplied by four, then five is subtracted from the product. The result i three. What is the number?
    6·2 answers
  • Questions 5)
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!