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2 years ago

Consider the relation R on the set S = {1, 2, 3, 4} defined by

Mathematics

1 answer:

Nataly [62]2 years ago

4 0

Answer:

Step-by-step explanation:

a) A relation R is symmetric when it includes the inverse relation, for example if it includes (8,9) then it should also include (9,8), if not, then the relation is not symmetric, you can see that in this case the relation includes (3,4) but not (4,3), therefore it is not symmetric

b) A relation is antisymmetric when it never includes the inverse relation, for example if it includes (8,9) then it can not include (9,8), if it does then it is not antisymmetric. In this case you can see that it first starts with (1,2) but then it also includes (2,1) so then it is not antisymmetric

c) A relation is reflexive if for each number of the domain set it includes the pair that is two times that same number, for example if 8 is in the domain then the relation should include (8,8). if not then it is not reflexive. In this case you can see that the domain S includes 1 but (1,1) is never on the relation or for example (2,2) is also never in the relation.

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Marysya12 [62]

Answer:

84.95 with 15% : 102.87

84.95 with 20% tip: 107.34

125 with 15% tip: 143.75

125 with 20% tip: 150

12.45 with 15% tip: 14.38

12.45 with 20% tip: 14.94

Step-by-step explanation:

Take value on the vertical column and multiply it by either 1.15 or 1.2

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2 years ago

As part of a new fitness plan, Sabir walks on a treadmill at the same speed for 15 minuets every morning. The table shows the ca

Reil [10]

The relationship between Sabir and calories he burns can be modeled using a linear function given by:
y=ax+b
where
a=slope
b=y-intercept
from the graph, the slope will be given as follows:
taking points (3,15) and (12,60)
a=(60-15)/(12-3)=5 calories/minute
thus using the slope and a point (3,15) the equation will be:
a(x1-x)=(y1-y)
plugging the values we obtain:
5(x-3)=y-15
5x-15=y-15
thus
y=5x
thus the equation is:
y=5x

7 0

3 years ago

A medical technology course has 150 total students on the first exam 96 Donuts passed what is the percentage of students that di

nordsb [41]

Answer:

36%

Step-by-step explanation:

150-96=56

56/130 = .36

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3 years ago

Read 2 more answers

The diameter of the moon is about 3500 km. Approximate the surface area of the moon using the formula for the surface area of a

Contact [7]

Answer:

$3.8465 *10^7$ square kilometers

Step-by-step explanation:

The surface area of a sphere can be found using the formula $SA=4\pi r^2$ . Since the diameter is 3500 km then its radius is half of this. 3500 divided in two is 1,750 units. Substitute r=1,750.

$SA=4\pi r^2\\SA = 4 \pi (1750)^2\\SA = 4 \pi *3,062,500\\SA =38,465,000$

The surface area of the moon is about 38,465,000 square kilometers. Write this is scientific notation using base. $3.8465 *10^7$

4 0

3 years ago

Please help !

Talja [164]

Answer:

1. rational number

2. a positive rational number

Step-by-step explanation:

A rational number is a number that can be expressed as a simple fraction. When two rational numbers are multiplied together, the only logical answer would be for the outcome/product to also be rational.

The reciprocal of a positive rational number is also a positive rational number because if the original number was negative, the reciprocal would also be negative since the signs wouldn't change (in this case, the original number is positive). Since the original number is already a rational number, just by flipping it (the reciprocal), it would not change to an irrational, but instead stay the same.

3 0

2 years ago

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