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What is the freezing point depression of an aqueous solution that contains 3m of ionic solute CaCl2 per 1 kg of water. The freezing point depression constant for water is -1.86 degree Celsius per mole (* CaCl2 dissociates into 3 ions)


Find the multiplicative inverse of 197 modulo 3000. Highlight each step clearly.


Cyclopentaethiol has a markedly lower melting point than cyclopentanol even though, it has a higher molecular weight. Explain


Use the Euclidean algorithm to find the Greatest Common Divisor of:

a. 1819 and 3587 b. 42823 and 6409


Use factor trees to find the GCF and LCM of the following:

a. 24 and 60 b. 150, 210 and 375


Program in Java


PROGRAM DESIGN

Create a class Date that can perform the following operations on a date:

- Set/Return the Month

- Set/Return the Day

- Set/Return the Year

- Whether the year is a leap year.

if the year number isn't divisible by 4, it is a common year;

otherwise, if the year number isn't divisible by 100, it is a leap year;

otherwise, if the year number isn't divisible by 400, it is a common year;

otherwise, it is a leap year.

- Return the number of days in a month

April, June, September, November has 30 days otherwise 31 except for Feb (refer to leap year)

- Print the month in string format followed by the date and year


SAMPLE INPUT1

2020

2

15

SAMPLE OUTPUT1

February 15, 2020

29 days

2020 is a Leap Year


SAMPLE INPUT2

2019

2

29

SAMPLE OUTPUT2

Invalid number of days


SAMPLE INPUT3

2019

3

15

SAMPLE OUTPUT3

March 15, 2019

31 days

2019 is a Common Year





A child kicks a ball with a force of 160 n. If the ball has a mass of 300g how quickly will it accelerate?

explain why is impossible to have upward sloping isoquant


the pulse rate adult men approach a normal distribution, ith a mean 80bpm(beats per minute) and a standard deviation of 5 bpm. what percent of adults have a pulse rate of more than 92 bpm?



  1. Show that ¬p → (q + r) and q→ (p V r) are logically equivalent.
  2. show, by the use of the truth table (truth matrix), that the (p v q)v[(p¬)ʌ(q)] is a contradiction.
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