Math and Science Tutor

          W elcome back to my blog. I hope you find this blog interesting. Today's blog post would be short and simple as I would be solving only one math question. I got this question from a friend of mine. The question is on simultaneous equations. I know some people know about this concept already but the question I'm about to solve is a very rare type of simultaneous equation question and I had to think a little to figure out the solution. Let's get back to it.                   Find the values of x and y from the equations below:        X 1/3 + y 1/3 = 6 -----------(i)      x + y = 72 ----------------(ii)     To solve this type of question, you'll have to think of a way to get rid of those exponents in equation (i). One easy way to do that is to introduce a common logarithm or natural logarithm to each term in the equation. I will use natural logarithm for this question like this:     Then using laws of logarithm for exponents, the exponents would become the co

           Hello everyone, welcome back to my blog. This is just a bonus post, so I'll be solving only one question today in physics. That being said, let's get back to it. Question 1.  Two mass 6kg and 4kg hung on a frictionless pulley with an inextensible string:  a)  find the acceleration b)  tension of the string                                          (g=10m/s²)     Solution         To solve this question, you should at least have a basic knowledge or an idea on the  Forces and Pulley system . That would help you understand this solution. From the question, we were given two masses 6kg and 4kg respectively. Suppose the small m represents the 4kg mass and the M represents the 6kg mass, the whole system would move to the right as seen in the picture below. Force Diagram           The system doesn't have x-components (horizontal forces) because it's only moving in the y-direction (vertical forces). So, all we need to sum up the forces in the y-component for each

            Welcome back to my blog. I know it's been a while since I posted anything on my blog. Today, I'll be posting some questions and solutions about some familiar chemistry concepts. I took most of these questions from the  *P.UTME CHAMPIONS GROUP; although, I edited somethings in the questions.  These questions are multiple-choice questions, so we'll be able to do some guesses and eliminations to derive our answers. That's because some options are meant to divert your focus from the real question  for you to get the question wrong. I call them distractions . I'll also be explaining why an option is right or wrong in my solutions below. Note that the correct answers will be boldened alongside its option (letter).         Now, let's take a look at these questions and see their respective solutions:   1. In principles that govern electron filing into orbitals, which of the following rules states that in the building up of atoms, electrons enter into orbit

         I welcome everyone that is viewing my post right now. This is my first post and I'll be solving a couple of math questions with a detailed explanation. I'm doing this because sometimes, many people just solve some math problems without knowing the concepts behind the steps that lead to the solution. Some people just cram the steps to the solution to save their energy from studying and practicing the concepts.                   If you happen to be that type of person, I'm sorry to say but, that method will not take you far in the sense that mathematical concepts build on each other as you advance in math studies. For instance, if you haven't done precalculus, you'll have a hard time in calculus classes because the first calculus class builds on the majority of precalculus concepts with a few new concepts in calculus. One of my high school teachers used to say that, 'the concept you refuse to learn now will come back to haunt you later.'  So it's