A universal set contains only sets A and B. If A∩B = Ø and A and B are not the empty set, then all of the following are true except ______. A and B are disjoint.

A is equal to B complement.

A∪B={}

A is not a subset of B.

Answers

Answer 1

Answer:

If A∩B = Ø and A and B are not the empty set, all of the following are true except Option 3

What is an empty set?

That set which doesn't contain any value is called empty set. This is also called as null set or void set. This is denoted by Ø or { }

We have given A∩B = Ø

Case1:

If A∩B = Ø and A and B are not the empty set, A and B are non empty set which means A and B are disjoint.

Hence, Option 1 is correct.

Case2:

If there intersection is empty means there is nothing common. Hence, Option 2 is correct.

Case3:

A and B are non-empty sets means their union can not be empty.

Hence, option 3 is incorrect.

Case4:

A can't be subset of B because Subset is the same elements in B of A which is not possible because their intersection is empty.

Hence, Option 4 is correct.

Therefore, If A∩B = Ø and A and B are not the empty set, all of the following are true except Option 3.

Learn more about set here:

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Answer 2

Answer:

Answer:

Option 3

Step-by-step explanation:

We have give $A\capB=\phi$

Case1:

A and B are non empty set which means A and B are disjoint

Hence, Option 1 is correct.

Case2:

When there intersection is empty means there is nothing common

Hence, A is not of B or A is equal to complement of B

Hence, Option 2 is correct.

Case3:

A and B are non-empty sets means their union can not be empty

Hence, option 3 is incorrect.

Case4:

A can not be subset of B because Subset is the same elements in B of A which is not possible because their intersection is empty

Hence, Option 4 is correct.

We have to choose false statement

Therefore, Option 3

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What is the slope of the line shown in the graph? A coordinate plane is shown. Points are graphed at negative 3 comma 2 and negative 1 comma negative 1. The points are connected by a line. −3 over 2 −1 over 2 3 over 2 Undefined

Answers

The slope of a line is the rate of change of the line

The slope of the line is -3/2

The points on the line are given as:

$\mathbf{(x,y) = \{(-3,2)\ (-1,-1)\}}$

The slope (m) is calculated as:

$\mathbf{m = (y_2 - y_1)/(x_2 - x_1)}$

So, we have:

$\mathbf{m = (-1-2)/(-1--3)}$

$\mathbf{m = (-3)/(2)}$

Rewrite as:

$\mathbf{m = -(3)/(2)}$

Hence, the slope of the line is -3/2

Answers

Answer: A. 5

Step-by-step explanation:

The given exponential equation:

$y=5(6.8)^x$

To calculate the y intercept , we need to substitute x =0 , the given equation, we get

$y=5(6.8)^0\n\n\Rightarrow\ y=5(1)......................\text{Since}\ a^0=1\n\n\Rightarrow y=5$

Hence, the y intercept of the given exponential equation = 5.

Hello,

answer A

5*6.8^0=5*1=5

The sales tax on a digital camera is $7.15. What is the sales tax rate?

Answers

You just have to find out the percent 7.15 is of 105. To do that, you set up a proportion with x as the percentage:

$(7.15)/(105)=(x)/(100)$

Then, cross multiply to get:

$(7.15)/(105)=(x)/(100)\n715=105x\n105x/105=715/105\nx=6.810$

So, the sales tax rate was 6.8%.

I suck at this, i know. please help, will offer 15 points

Answers

Although the triangles have an equal angle and two equal sides, they are not necessarily congruent because the angle is not between the sides. As a result, there is not enough information to find the desired angle.

What is negative 6 =