Answer: 8 subsets

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There are n = 3 elements in the given set, so there are 2^n = 2^3 = 2*2*2 = 8 subsets. Those 8 subsets are listed below

{a,b,c}
{a,b}, {a,c}, {b, c}
{a}, {b}, {c}
{ }

The first row is the original set. Any set is a subset of itself.
The second row represents subsets with exactly 2 elements.
The third row represents subsets with exactly 1 element
The fourth row is the empty set which can be written as $\varnothing$

8 0

3 years ago

500 increased by 30%

fgiga [73]

500 + 30% equals 650. 30% of 500 equals 150.

4 0

2 years ago

The complex number _______ lies in the shaded area of the graph. The complex number _______ does not lie in the shaded area.

Anastaziya [24]

Think of imaginary numbers on a complex plane as coordinates - take the real part, that's the x coordinate, the imaginary part that's the y coordinate.

Therefore, for the first blank, -1+3i lies in the shaded area, because its coordinates are (-1,3).
And following on from that for the second one, -4i does not lie in the shaded area, since its coordinates are (0,-4).

Tl;dr is taking a complex number a+bi and placing it on a complex plane, it will have coordinates (a,b)

5 0

3 years ago

Find the slope of the line.

Archy [21]

Answer:

$\displaystyle m=0.8$