## History of ZERO and its importance

The concept of zero as a number and not just a placeholder was first developed by the ancient Babylonians, who used it as a placeholder in their base-60 number system.…

## Problem 710

The letters x and y represent rectangular coordinates. Write the following equation using polar coordinates (r, θ). y = x   Solution:-   x = r * cosθ y = r * sinθ give…

## Problem 709

Find z*w . Leave your answer in simplified polar form. Express all angles in degrees rounded to the nearest tenth. z = 9(cos45+I sin45° ) w = 3(cos10+isin10°)   Solution:-   z.w…

## Problem 701

A woman walks 200 yards west along a straight shoreline and then swims 50 yards north into the ocean on a line that is perpendicular to the shoreline. Using her…

## Problem 700

Find (x3-6×2+10)÷ (x-3) using synthetic division.   Solution:-   x-3 | 1  -6  0   10 | 0   3  -9   -27 ————— 1  -3   -9   -17…

## Problem 699

Solve x2 + 6x -7 = 0 by completing the square.   Solution:-   Solve for x by first isolating the constant and adding the square of half of the coefficient of x to…

## Problem 698

The value of a particular investment follows a pattern of exponential growth. You invested money in a money market account. The value of your investment t years after your initial investment is…

## Problem 695

Evaluate the expression: log100   Solution:-   log 100 log = 2 log 10 we know log 10 = 1 log 100 = 2(1) = 2

## Ludo and dices

Suppose in a game of ludo only two throws of dice are allowed. What is the most probable distance moved and what is the probability of the same? Hint:- Distance…

## Problem 18

Problem – 18 What is the probability that Bo, Colleen, Jeff, and Rohini win the first, second, third, and fourth prizes, respectively, in a drawing if 51 people enter a contest…