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
Gala2k [10]
2 years ago
12

How many elements does A contains if it has 64 subsets​

Mathematics
1 answer:
Amanda [17]2 years ago
5 0
<h3>Answer:  6</h3>

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

Explanation:

Rule: If a set has n elements in it, then it will have 2^n subsets.

For example, there are n = 3 elements in the set {a,b,c}. This means there are 2^n = 2^3 = 8 subsets. The eight subsets are listed below.

  1. {a,b,c} .... any set is a subset of itself
  2. {a,b}
  3. {a,c}
  4. {b,c}
  5. {a}
  6. {b}
  7. {c}
  8. { } ..... the empty set

Subsets 2 through 4 are subsets with exactly 2 elements.  Subsets 5 through 7 are singletons (aka sets with 1 element). The last subset is the empty set which is a subset of any set. You could use the special symbol \varnothing to indicate the empty set.

For more information, check out concepts relating to the power set.

-------------------

The problem is asking what value of n will make 2^n = 64 true.

You could guess-and-check your way to see that 2^n = 64 has the solution n = 6.

Another approach is to follow these steps.

2^n = 64\\\\2^n = 2^6\\\\n = 6

Which is fairly trivial.

Or you can use logarithms to solve for the exponent.

2^n = 64\\\\\text{Log}\left(2^n\right)=\text{Log}\left(64\right)\\\\n*\text{Log}\left(2\right)=\text{Log}\left(64\right)\\\\n=\frac{\text{Log}\left(64\right)}{\text{Log}\left(2\right)}\\\\n\approx\frac{1.80617997398389} {0.30102999566399} \ \text{ ... using base 10 logs}\\\\n\approx5.99999999999983\\\\

Due to rounding error, we don't land exactly on 6 even though we should.

You might be interested in
PLEASE DONT SKIP THIS I NEED HELP<br><br> Can someone please explain how to solve this problem?
Setler [38]
I would say 168 because if you throw a dice with 6 sides a thousand 1000 you will most likely get one certain side 168 times.
7 0
3 years ago
How many solutions are there to an inequality
sergiy2304 [10]
I depends on the problem i believe.
4 0
3 years ago
What is the slope of the line y = 3?
CaHeK987 [17]
The slope would be 0. Because the line would be flat if all of the y values equal 3, that means the slope = 0. If now x=9 or anything like that, that would be undefined,

I hope this helped! If it does then please thank, rate, and give brainliest answer!
4 0
3 years ago
Read 2 more answers
Answer This Please With explanation If You do I Will Mark Brainliest
4vir4ik [10]

Answer:

8)61.5 9)42.1

Step-by-step explanation:

8)61.5

area of square 10×10=100

circle=pie r^2

3.5^2×pie

=38.5

100-38.5=61.5

9)14×14=196

14/2=7

7=radius

pie×7^2

=153.9/2(because circle is half)

=76.95

76.95×2

=153.9

=196-153.9

42.1

MARK IT BRAINLIEST

6 0
2 years ago
Y= 16t (squared) +120 what is t
Zina [86]

Answer:

Step-by-step explanation:

hello :

16t²+120 = y

16t² = y -120   so : t² = (y-120)/16

if  :  y-120 ≥ 0        t = ±√((y-120)/16)

5 0
3 years ago
Other questions:
  • if 48 % of students in a certain college are female and there are 1,440 female students, what is the total number of students in
    8·1 answer
  • A box contains 19 large marbles and 11 small marbles. Each marble is either green or white. 3 of the large marbles are green, an
    12·1 answer
  • Geometry question, please help me
    6·1 answer
  • Please help. It’s basic math. But I don’t know how
    5·1 answer
  • Henry is 16 years younger than twice John's age. Henry is 20 years old. How old is John?
    9·1 answer
  • Fing the area of the circle with a radius of 17in. (Use 3.14 for pi)
    13·1 answer
  • Zane buys a rope that is 50 feet long. The cost of the rope is $0.35 per foot, including tax. What is the total cost, in dollars
    7·1 answer
  • There are 24 pieces of fruit in a bowl and 6 of them are oranges. What percentage of the pieces of fruit in the bowl are oranges
    12·2 answers
  • Have 5 Points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    10·2 answers
  • WILL GIVE BRAINLIST PLS HURRY
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!