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Leni [432]
3 years ago
12

Answer fast please and thank you!

Mathematics
1 answer:
katrin [286]3 years ago
7 0

Step-by-step explanation:

everything can be found in the picture

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Consider the sets A = {4,6,8} and B = {4,5,6} Find Ax B (b) Find the power set AB)​
katrin [286]

a) A × B is the Cartesian product of A and B, given by the set

A × B = {(a, b) | a ∈ A and b ∈ B}

Then for A = {4, 6, 8} and {4, 5, 6}, we have the product

A × B = {(4, 4), (4, 5), (4, 6), (6, 4), (6, 5), (6, 6), (8, 4), (8, 5), (8, 6)}

b) The power set of a set X is the set containing all subsets of X. I'm not sure what you're asking to find the power set of, though. Hopefully it's not of A × B, since that would contain 2⁹ = 512 elements...

Instead I'll assume you mean a simpler set, such as A ∩ B. The intersection of A and B is

A ∩ B = {4, 6, 8} ∩ {4, 5, 6} = {4, 6}

and has only 2 elements, so its power set has 2² = 4 elements (much more manageable!) and is the set

Pow(A ∩ B) = {{}, {4}, {6}, {4, 6}}

7 0
2 years ago
Graph function 1/2y=sin(3x+180)
sweet [91]

Answer:

The graph of the given function is shown below.

Step-by-step explanation:

The given function is

\frac{1}{2}y=\sin (3x+180)

Multiply both sides by 2.

y=2\sin (3x+180)      ....(1)

The general form of sine function is

f(x)=a\sin(bx+c)+d    ....(2)

Where, a is altitude, b is period, c is phase shift and d is vertical shift.

On comparing (1) and (2), we get

a=2,b=3,c=180

it means the altitude of the function is 2, period is 3 and phase shift is 180.

The graph of the given function is shown below.

4 0
3 years ago
Read 2 more answers
Imagine two lines intersect. How can the properties of linear pairs and vertical angles help to determine the angle measures cre
Rudik [331]
Adjacent angles create linear pairs so they add to 180. If we know the measure of one angle, we can find the other by subtracting from 180.

Vertical lines create congruent angles. If we know the measure of one angle, we know the measure of the angle opposite of it (they only share a vertex, no sides)
3 0
3 years ago
3 nineteens, tripled
34kurt

Answer:

19 x 3 = 57

19 plus 19 plus 19 = 57

19 to the power of 3 squared = 6859

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
C = d where C is the circumference of a circle, is about 3.14, and d is the diameter.
Rzqust [24]

Answer:

Formula for Circumference of a Circle

Circumference is given by the formula C = πd where π = 3.14 and d is the diameter of the circle. Circumference is given by the formula C = 2πr where π = 3.14 and r is the radius of the circle.

Hope it's helpful to you

3 0
3 years ago
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