MATHEMATICS COLLEGE

Let S = {a, b, c). Find the following:a) the number of reflexive relations on S

b)the number of reflexive and symmetric relations on S

Answers

Answer 1
Answer:

Answer:

The number of reflexive relations on S  is 64.

The number of reflexive and symmetric relations on S  is 8.

Step-by-step explanation:

Consider the provided set S = {a, b, c}.

The number of elements in the provided set is 3.

Part (a) the number of reflexive relations on S

To calculate the number of reflexive relation on S we can use the formula as shown:

Total number of Reflexive Relations on a set:2^(n(n-1)).

Where, n is the number of elements.

In the provided set we have 3 elements, so substitute the value of n in the above formula:

2^(3(3-1))

2^(3(2))

2^(6)

64

Hence, the number of reflexive relations on S  is 64.

Part(b) The number of reflexive and symmetric relations on S.

To calculate the number of reflexive and symmetric relation on S we can use the formula as shown:

Total number of Reflexive and symmetric Relations on a set:2^{(n(n-1))/(2)}.

Where, n is the number of elements.

In the provided set we have 3 elements, so substitute the value of n in the above formula:

2^{(3(3-1))/(2)}

2^{(3(2))/(2)}

2^{(6)/(2)}

2^(3)

8

Hence, the number of reflexive and symmetric relations on S  is 8.

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Calculate the total cost of an item bought at a negotiated price of $14,380, a $2,700 trade-in allowance, a sales tax of 7.2 percent, and a $79 registration fee.$14266.08

$13,689.35

$12,794.36

$12,599.96

Answers

The total cost of an item bought at a negotiated price of $14,380 is $12495.36.

Item bought at a negotiated price of $14,380, a $2,700 trade-in allowance,

A sales tax of 7.2 percent, and a $79  registration fee.

Let us find the cost of the item after 7.2% of sales tax.

What is the cost?

A cost is an expenditure required to produce or sell a product or get an asset ready for normal use.

The cost of an item after 7.2% of sales tax will be equal to 15640 plus 7.2% of 15640.

The cost of items after sales tax

=14,380+((7.2)/(100)* 14,380)

=14,380+(0.072 * 14,380)

=15415.36

Therefore the cost of an item after 7.2% of sales tax will be 15415.36

Now let us add the registration fee to the cost of the item.

The cost after registration fees is to the cost of items

=15415.36+79

=15495.36

Now let us subtract $2700 trade allowance to find the total cost of the item.

=15495.36- 2700

=12795.36

Therefore the total cost is $12495.36.

To learn more about the cost visit:

brainly.com/question/14323743

 

Answer:

The answer to this is option C: $12,794.36

Step-by-step explanation:

I just completed the test and this was the corrected answer.

If a 5 ft tall man cast an 8 ft long shadow at the same time a tree cast a 24 ft long shadow, how tall is the tree?

Answers

Answer:

15 feet

Step-by-step explanation:

We have 2 similar right triangles with legs height and length of shadows.

height of men : length of shadows of the man = height of tree : length of shadows of the tree

5 : 8 = x : 24

8x = 5* 24

x = 5*24/8 = 15 (feet)

Answer:

15ft

Step-by-step explanation:

5 ft  is to 8 ft

A ft is to  24 ft

A = 24*5/8

A = 15ft

15ft

The midpoint of AB is M=(3, 1). One endpoint is A=(-1, -1).Find the coordinates of the other endpoint, B.

Answers

Answer:

(7, 3)

Step-by-step explanation:

Given segment AB, where:

  • A = (-1, -1)

Mid point

  • M = (3, 1)
  • Point B = (x, y)

As per mid point formula:

  • (-1+x)/2 = 3 ⇒ -1 + x = 6 ⇒ x = 6+ 1 = 7
  • (-1 + y)/2 = 1 ⇒ -1 + y = 2 ⇒ y = 2 + 1 = 3

So, the point B is:

  • B = (7, 3)

12% of students of a class of 50 like blue
colour. How many children like blue colour?​

Answers

If 12% of students of a class of 50 like blue  colour, the number of children that like blue is 6

The number of students in the class = 50

12% of the total number of students like blue

Number of students that like blue colour = 12% of 50

Number of students that like blue colour = (12/100)  x  50

Number of students that like blue colour = 0.12  x  50

Number of students that like blue colour = 6

Therefore, if 12% of students of a class of 50 like blue  colour, the number of children that like blue is 6

Learn more here: brainly.com/question/22055494

Answer:

6 children

Step-by-step explanation:

(12*50)/100

Form a polynomial f(x) with real coefficients having the given degree and zeros.Degree 4; zeros: 1, multiplicity 2; 2i

Answers

Answer:

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Step-by-step explanation:no

The rectangle shown as a perimeter of 70 cm and the given area. It’s length is 8 more than twice it’s width. Write and solve a system of equations to find the dimensions of the rectangle. The length of the rectangle is ___cm and the width of the rectangle is ___cm.

Answers

width of the rectangle = b = x

length of the rectangle = l = 8 + 2x

Perimeter of the rectangle = 70cm

Also, perimeter of the rectangle = 2(l + b)

70 = 2[x + (8 + 2x)]

70 = 2(x + 8 + 2x)

70 = 2(3x + 8)

70 = 6x + 16

70 - 16 = 6x

54 = 6x

54/6 = x

9 = x

Therefore, b = x

b = 9cm

l = 8 + 2x

I = 8 + 2×9

I = 8 + 18

I = 26cm
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