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Show that the propositions p1,p2,p3,p4, and p5 can be shown to be equivalent by proving that the conditional statements p1→p4, p3→p1, p4→p2, p2→p5, and p5→p3 are true.

Directions: find (f-g)(x) using the two functions given in each number.



1.f(x) =3 x


g(x) =-4x+1



2.f(x) =2x


g(x)= 4x2+2x-2



3.f(x) =5x+1


g(x) =3x



4.f(x) =5x+2


g(x)=3x-5



5.f(x) =3x


g(x) =4x²+5x-4


Show that the sequence En=(1+1/n)^n is bounded and increasing

Do you believe that feelings of ethnocentricity or xenocentric attitudes are prevalent in Philippine culture?


A force of 5.78x10^-16N acts on an unknown particle moving at an angle of 90 degrees through a magnetic field. if the velocity of the particle is 5.65x 10^4 m/s and 3.20x10^-2T, how many elementary charges does it carry

#include <iostream>




ung namespace std;




#include <string> class snident




string name="DefaultName":




string birthyear= "9999":




Your Code Here




int main(){




sident $1;




student $2("Geoffrey Hinton"); student $3("Yann LeCun", "1960");




s1.print_info(); print_info();




$3.print_info():




$2.change year(1947");




s1 change_name("YourName");




s1.change year("YourBirth Year>");




$2.print info(); $1.print_info();




return 0;




Complete the student class so the main function above produces the following output:




Name: DefaultName, Birth Year: 9999




Name: Geoffrey Hinton, Birth Year: 9999.




Name: Yann LeCun, Birth Year: 1960 Name: Geoffrey Hinton, Birth Year: 1947.




Name: YourName, Birth Year: <Your Birth Year>

A gas mixture is made by combining 7.1 g

7.1 g each of Ar,

Ar, Ne,

Ne, and an unknown diatomic gas. At STP, the mixture occupies a volume of 16.83 L.

16.83 L.

What is the molar mass of the unknown gas?


Of the 20 people attending a lecture, 2 have brown eyes. What is the probability that a randomly selected person will have brown eyes?


• Using Php Script write a program that will compute the students average



• The user will input the following:



 Name



 Math



 Science



 English



• If the average is equal and above 75, it will display “Congratulations. You passed the semester” otherwise “You failed the semester.”


The following data show the number of cars sold at a dealer during the past 20 weeks:



18; 13; 2; 20; 8; 10; 5; 10; 6; 9; 10; 20; 2; 15; 16; 16; 13; 10; 17; 10



Use the data to construct a histogram that shows the number of weeks versus car sales. Use the intervals



0,5 − 4,5; 4,5 − 8,5; 8,5 − 12,5; 12,5 − 16,5; 16,5 − 20,5



for the number of cars sold. The correct histogram

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