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Using a Truth table, determine the value of the compound proposition(10marks)

((𝑝 ∨ 𝑞) ∧ (¬𝑝 ∨ 𝑟)) → (𝑞 ∨ 𝑟).


How many positive integers less than 1000 have at least one decimal digit equal to 9?





Solve for the determinant in the equation below. (10)

1.7.1.

4 −3 2

1 2 −2

2 −1 −4

1.7.2

2 −2 1

2 2 1

4 1 3


  1. how can we use the production possibility frontier to determine opportunity cost?

The rate at which a super computer body cools is proportional to the difference between the temperature of the body and that of the surrounding air. If a body in air at 25°C will cool from 100°C to 75°C in one minute, find its temperature at the end of three minutes.


The magnetic flux through a coil of wire containing two loops changes at a constant rate from -58 Wb to 38 Wb in 0.34 s. What is the emf induced in the coil?


When creating a left-endpoint Riemann sum on the interval [-29.8, 388.8] using 26 rectangles, the 7th endpoint used to calculate the height of the approximating rectangle would be? Calculate the following showing all your steps.




Create a user defined method named calcCost() that accepts two double values as input (length

and width), and then computes the estimated cost of painting a room (walls only, not ceiling),

assuming the room is rectangular and has four full walls and the walls are 2.6 meter high. The rate

for the painting job is R20 per square meter. Your method should return the estimated cost to the

calling method.

Create a program whose Main() method prompts a user for the length and the width of a room in

meter, then calls calcCost to calculate the estimated cost. Once calculated, you should display

the estimated cost.


the goal of this coding exam is to quickly get you off the ground with the array method filter(). given vowels List in the prefilled code and ward List as an input, write a js program to, filter the words from wordsList with at least one vowel in it. log the array containing the filtered words in the console


"use strict";

process.stdin.resume();

process.stdin.setEncoding("utf-8");

let inputString = "";

let currentLine = 0;

process.stdin.on("data", (inputStdin) => {

 inputString += inputStdin;

});

process.stdin.on("end", (_) => {

 inputString = inputString.trim().split("\n").map((str) => str.trim());

 main();

});

function readLine() {

 return inputString[currentLine++];

}

function main() {

 const wordsList = JSON.parse(readLine().replace(/'/g, '"'));

 const vowelsList = ["a", "e", "i", "o", "u"]

 // Write your code here

}


What would be the diameter of the earth if it had the density of neutron star ?

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