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Gnom [1K]
3 years ago
13

How many subsets are there in (a,b,c,d,e,f,h,i)?​

Mathematics
1 answer:
Bond [772]3 years ago
7 0

Answer:

The set has 256 subsets

Step-by-step explanation:

The set is [a,b,c,d,e,f,h,i]

Number of subset can be calculated from the formula

{2}^{n}

where n is the number of element in the set

n=8

This implies that

{2}^{n} =   {2}^{8} =256

You might be interested in
Which is the equation of an ellipse with directrices at x = 14 and foci at (2.0) and (-2, 0)?
Reil [10]

Answer:

  \dfrac{x^2}{8}+\dfrac{y^2}{4}=1

Step-by-step explanation:

The relationship between the focus, directrix, and semi-major axis is ...

  foci are ±ae

  directrices are ±a/e

where "a" is the length of the semi-major axis and e is the eccentricity.

Using the given focus and directrix locations, we have ...

  ae = 2

  a/e = 4

When we multiply these equations, we have ...

  (ae)(a/e) = (2)(4)

  a^2 = 8

This is the denominator of the x^2 term in the equation for an ellipse:

  x^2/a^2 + y^2/b^2 = 1

_____

We can find b^2 from ...

  ae = √(a^2 -b^2)

  b^2 = (a^2 -(ae)^2) = 8 -2^2 = 4

So, our ellipse equation is ...

  x^2/8 +y^2/4 = 1 . . . . . . matches the first choice

3 0
4 years ago
Deena is inviting 10 friends to a party. If she wants to spend no more than $120 on her guests, and dinner for each guest costs
Bad White [126]

Answer:

$4 for each person

Step-by-step explanation:

First we have to calculate how much money has money other than for food

for this we multiply the number of guests by the value of each dinner

$8 * 10 = $80

Now that we have the total value of the dinner we substract from the total money

$120 - $80 = $40

This is the mount that she can spend on party favors

Then we split the $40 with the total number of guests to know how much we can spend for each person

$40/10 = $4

5 0
3 years ago
Help me solve this problem ​
noname [10]

Step-by-step explanation:

hereee is your answerr

hope it helps

8 0
3 years ago
Read 2 more answers
A loaded truck travels 14 km in 25 minutes. If the speed
serious [3.7K]

Answer:

168 km

Step-by-step explanation:

5h . 60 = 300 min.

14 : 25=0,56

0,56 . 300 = 168 km

6 0
3 years ago
Write the equation of the graph shown below in factored form.
Marizza181 [45]
F(x) = (x − 1)(x − 2)(x − 3)
8 0
4 years ago
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