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1.Let R be the relation on the set {0, 1, 2, 3} containing the ordered pairs (0, 1), (1, 1), (1, 2), (2, 0), (2, 2), and (3, 0). Find the

a) reflexive closure of R.

b) symmetric closure of R.


The life expectancy at birth y for females born in a certain country is given by the equation y=0.13x+74.6​, where x is the number of years after 1950.

a. Find the life expectancy for a female born in 1990.

b. Find and interpret the slope of the equation.

c. Find and interpret the​ y-intercept of the equation.


program to convert 6 digits numbers into words


1. 19 ^ 42 K - 1 ^ 0 e+

State whether each of the following situations is an example of surface tension, capillary action, or adhesion. Include an explanation to support each answer.

1. After it rains, you have water droplets on your car.

2. You see an insect walking on a pond. 

3. You left the end of a towel in a bucket of water. The end that is hanging over the rim of the bucket is wet as well.


State whether each of the following situations is an example of surface tension, capillary action, or adhesion. Include an explanation to support each answer.

1. After it rains, you have water droplets on your car.

2. You see an insect walking on a pond. 

3. You left the end of a towel in a bucket of water. The end that is hanging over the rim of the bucket is wet as well.



how use Bohr's equation to calculate. how much energy in joule is needed to promote an electron from H-atom n=1 to the n=4 level?

How many C6H12O6 molecules are contained in a 100g sample of C6H12O6

Construct the truth table of the following proposition.

1. (p∧q)→(p∨q)

2. ~(p→q)

3. (p∨q)∧~p


The rest mass of an electron is 9.1 x


10^-31 kg. What is the relativistic mass if its velocity is 55 % of the speed


of light?

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