Evaluate -2a^2 if a = -5/2 -25 -12 1/2 25 12 1/2

List of subsets of each set {1,3,5,7}

agasfer [191]

ANSWER

{},{1},{3},{5},{7},{1,3},{1,5},{1,7},{3,5},{3,7},{5,7},{1,3,5},{1,3,7},{3,5,7},{1,5,7},{1,3,5,7}

EXPLANATION

The given set is {1,3,5,7}.

This set has

${2}^{n} = {2}^{4} = 16$

subsets.

Where n=4 is the number of elements in the set.

Recall that the null set is a subset of every set and every set is a subset of itself.

The subsets are:

{}

{1},{3},{5},{7}

{1,3},{1,5},{1,7},{3,5},{3,7},{5,7}

{1,3,5},{1,3,7},{3,5,7},{1,5,7}

{1,3,5,7}

7 0

3 years ago

What is the surface area of the square pyramid?

Schach [20]

Answer:

You find the area of all the faces of the square pyramid, then add them together to get the surface area.

6 0

3 years ago

Solve for the x using elimination 3x-2y=13x−2y=1 2x+2y=42x+2y=4

Nikitich [7]

3x - 2y = 1

2x + 2y = 4

Add the second equation to the first

5x = 5

2x + 2y = 4

Divide the first equation by 5

x = 1

2x + 2y = 4

Subtract the first equation from the second

x = 1

x + 2y = 3

Subtract the first equation from the second again

x = 1

2y = 2

Divide the second equation by 2

x = 1

y = 1

<h3>So, the solution is x = 1 and y = 1 {or: (1, 1)} </h3>

7 0

3 years ago

Formula for area the area of a triangle

nordsb [41]

I think A=12bh I hope it’s right

4 0

3 years ago

A 13 ft ladder is resting on a wall. The angle the ladder makes with the floor is 45 degrees. How high off the ground is the top

PtichkaEL [24]

Answer: 9.19 ft

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.

Sin α = opposite side / hypotenuse

Where α is the angle of elevation of the ladder to the ground, the hypotenuse is the longest side of the triangle (in this case is the length of the ladder), and the opposite side (x) is distance between the top of the ladder and the ground.

Replacing with the values given:

Sin 45 = x/ 13

Solving for x

sin45 (13) =x

x= 9.19 ft

Feel free to ask for more if needed or if you did not understand something.

6 0

3 years ago