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aleksandr82 [10.1K]
3 years ago
12

{20,1,6,10,11} Find the subset and the proper subset.

Mathematics
1 answer:
liubo4ka [24]3 years ago
4 0
With 5 elements in A={20,1,6,10,11}, there are 2^5=32 possible subsets, including
the null set, and A itself.
Any subset that is identical to A is NOT a proper subset.
Therefore there are 31 proper subsets, plus the subset {20,1,6,10,11}.

The subsets are:
null set  {} (has no elements) ........total 1
{20},{1},{6},{10},{11}.......................total 5
{20,1},{20,6}...{10,11}.....................total 10
{20,1,6},{20,1,10},...{6,10,11}.........total 10
{20,1,6,10}...{1,6,10,11}.................total 5
{20,1,6,10,11}.................................total 1
Altogether 32 subsets.


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Which is equal to (2+3i)+(-4+i)?<br> A, -2-4i<br> B, -2-2i<br> C, -2+2i<br> D, -2+4i<br> E, 6+4i
inysia [295]

Answer:

D. -2+4i

Step-by-step explanation:

just combine like terms :)

6 0
3 years ago
Read 2 more answers
What is the slope of the line that contains the point (13,-2) and (3,-2)
ra1l [238]

The slope of the line that contains the point (13,-2) and (3,-2) is 0

<em><u>Solution:</u></em>

Given that we have to find the slope of the line

The line contains the point (13,-2) and (3,-2)

<em><u>The slope of line is given as:</u></em>

m = \frac{y_2-y_1}{x_2-x_1}

Where, "m" is the slope of line

Here given points are (13,-2) and (3,-2)

(x_1, y_1) = (13, -2)\\\\(x_2, y_2) = (3, -2)

<em><u>Substituting the values in formula, we get,</u></em>

m = \frac{-2-(-2)}{3-13}\\\\m = \frac{-2+2}{3-13}\\\\m = 0

Thus the slope of line is 0

3 0
3 years ago
HELP !! ASAP !!
Sedaia [141]

Answer:

The roots are;

x = (2 + i)/5 or (2-i)/5

where the term i is the complex number representing the square root of -1

Step-by-step explanation:

Here, we want to use the completing the square method to solve the quadratic equation;

f(x) = -5x^2 + 4x -1

Set the function to zero

0 = -5x^2 + 4x - 1

So;

-5x^2 + 4x = 1

divide through by the coefficient of x which is -5

x^2 - 4/5x = -1/5

We now take half of the coefficient of x and square it

= -2/5^2 = 4/25

add it to both sides

x^2 - 4x/5 + 4/25= -1/5 + 4/25

(x- 2/5)^2 = -1/5 + 4/25

(x - 2/5)^2 = -1/25

Take the square root of both sides

x - 2/5 = √( -1/25

x - 2/5 = +i/5 or -i/5

x = 2/5 + i/5 or 2/5 - i/5

7 0
3 years ago
What precent of 25 is 10?​
vivado [14]

40%

40 percent of 25 is 10

10/25x100 and you will get your answer which is 40

4 0
2 years ago
At a food festival, 3/8 of the dishes were from china. Another 12.5% of the dishes were from japan. What percent of the dishes w
MrMuchimi

Answer: 50%

Step-by-step explanation:

Let x = Total dishes.

Dishes from China = \dfrac38x

Dishes from Japan  = 12.5\% \text{ of }x= 0.125x

Total dishes  from China and Japan = \dfrac38 x+0.125x=0.375x+0.125x=0.5x

Dishes from other countries = x- 0.5x= 0.5x

Percent of dishes from other countries= \dfrac{0.5x}{x}\times100\%= 50\%

Hence, dishes from other countries = 50%

5 0
3 years ago
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