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murzikaleks [220]
3 years ago
12

The number of subsets that can be created from the set {1, 2, 3} is:

Mathematics
2 answers:
wolverine [178]3 years ago
7 0
The following subsets you can be able to create are:
{1}
{2}
{3}
{1,2}
{1,3}
{2,3}
{1,2,3}
Therefore, there are 7 subsets in all. However, we don't have to list all these possible outcomes because we could waste our time doing this but there is a formula, that is 2^n - 1 where n is a number of elements.

In the given, since there are 3 elements inside the set then we use 2^3 - 1 = 8 - 1 = 7.
See...it's easy.
Korvikt [17]3 years ago
3 0

Answer:

The correct option is d.

Step-by-step explanation:

The given set is {1, 2, 3}.

If a set has n elements , then the formula for number of subsets is

Number of subsets = 2^n

In the given set the number of elements is 3. So the number of subsets is

Number of subsets = 2^3=8

The number of subsets is 8. The subsets are

1. {}

2. {1}

3. {2}

4. {3}

5. {1,2}

6. {1,3}

7. {2,3}

8. {1,2,3}

Therefore the correct option is d.

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Rylee earns $5,4000 in her first year of teaching and earns a 3% increase in each successive year. Write a geometric series form
Stella [2.4K]

Answer: $1387800

Step-by-step explanation:

This is an sum of Arithmetic Progression with the formula

Sum of nth term

Sn = n/2( a + l ) --------------- 1

where l = a + ( n - 1 )d -------2

Now put (2) in 1

Sn = n/2{( a + a + (n - 1)d}

= n/2{( 2a + ( n -1 )d}

From the question

a = $5,4000 ( firs term )

d = 3% of $5,4000 ( common difference ), n = 20 years. Solution to question one therefore is.

First find 3% of $54000 = $1620, so the geometric series is

Sn = n/2{(2a + ( n - 1 )d

Second solution is substitution,

Sn. = 20/2 {(2 x 54000 + (20 -1)1620)}

= 10{ 108000 + 19 x 1620}

= 10{ 108000 + 30780 }

= 10{ 138780 }

= 1387800

Therefore, the total emoluments of Rylee for the past 20 years

= $1387800

8 0
3 years ago
Someone please help me find the sum of these geometric series!! <br> Thank you so much
astraxan [27]
Sum of aritmetic sqeuqnece is
(n/2)(a1+an)
a1=first term
an=nth term
n=how many terms

so we gots
a1=3(1)-4=-1
a18=50
n=18
(18/2)(-1+50)
(9)(49)
441


other one
a1(1-r^(n+1))/(1-r)

2(1-2^(15+1))/(1-(1/4))
 about 2 and 2/3, so closer to 3
4 0
3 years ago
Expression: (3215 - 3052) * 15<br> The value of the expression is
SVEN [57.7K]

Answer:

2,445

Step-by-step explanation:

PEMDAS:

(3215 - 3052) * 15 =

163 * 15 =

2,445

Hope this helps.

4 0
3 years ago
Read 2 more answers
If you answer can you write how you solved it?
Liono4ka [1.6K]

Answer:

145.3in^2

Step-by-step explanation:

A_{L} =2\pi rh=2*\pi *2.5*9.25\\=145.3in^2

6 0
3 years ago
Evaluate the expression: 12.6(2 – 3) + 26 - 4<br> A. – 4.6<br> B. 3.4<br> C. 21.55<br> D. 12.85
svp [43]

Answer:

The answer so simplyfjdjdnxkxndndjxjfnfngkdjsjajajjdjfj the answer is D

6 0
2 years ago
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