Q: Why is hitting water from a great height like hitting concrete? Use the Properties of Proportions to Simplify Fractions. Q: Why can some creatures walk on water yet I (a human) can’t? x − 2i2 + 6i = yi + 3xi3. Here are some examples: Q: Could God have existed forever? When x2 + 16 = 0, you find that x2 = –16. These Equations Worksheets are a good resource for students in the 5th Grade through the 8th Grade. Q: What is The Golden Ratio? Q: What are quasi-particles? Q: How can electrons “jump” between places without covering the intervening distance? Contained in this site are the notes (free and downloadable) that I use to teach Algebra, Calculus (I, II and III) as well as Differential Equations at Lamar University. Q: Is 0.9999… repeating really equal to 1? Q: Why does lightning flash, but thunder rolls? Q: Can free will exist in our deterministic universe? Why? Q: How can we see the early universe and the Big Bang? hmm most of these things are all nonsense to me…sorry, i’m only in 6th grade so the equations about all that dynamic partical stuff are gobbledegook to me…maybe u could use some complex multi-variable calculus for this?? The Lagrangian gives every point on this picture a value and the total along an entire path is the “action”. More specifically, it’s the integral of the Lagrangian between any two given times: where t1 and t2 are the start and stop times, is a path, is the time derivative (velocity) of that path, and is some given function of and . Q: Why does kinetic energy increase as velocity squared? How can they be sure that all life uses water? Q: What is “spin” in particle physics? For example, enter 3x+2=14 into the text box to get a step-by-step explanation of how to solve 3x+2=14.. All geometric formulas are explained with well selected word problems so you can master geometry. Is it for attention? Is the “brown note” possible? Q: What would it be like if another planet just barely missed colliding with the Earth? Khan Academy's Algebra 1 course is built to deliver a comprehensive, illuminating, engaging, and Common Core aligned experience! Algebra 2 The Algebra 2 course, often taught in the 11th grade, covers Polynomials; Complex Numbers; Rational Exponents; Exponential and Logarithmic Functions; Trigonometric Functions; Transformations of Functions; Rational Functions; and continuing the work with … Q: What’s the relationship between entropy in the information-theory sense and the thermodynamics sense? Is it distance or space or is there even a difference? Take the square root of each side, and, Simplify the radical, using the equivalence for i, and the complex solutions are. Q: If time is relative, then how can we talk about how old the universe is? An example of an equation without enough real solutions is x4 – 81 = 0. For example, a time symmetry ( doesn’t change in time) leads to conservation of energy and a space symmetry ( doesn’t change in some direction) leads to conservation of momentum in that direction. This is just Newton’s law of gravitation, , repeated for every possible pair of stars and added up. Q: If a long hot streak is less likely than a short hot streak, then doesn’t that mean that the chance of success drops the more successes there are? Are they discovered or invented/created by humans? Get math help fast and online with more than one hundred instant and even step-by-step math solvers and calculators designed to help you solve your math problems and understand the concepts behind them! Q: Can you do the double slit experiment with a cat cannon? Q: Is there such a thing as half a derivative? Q: Is it possible to objectively quantify the amount of information a sentence contains? This is the basic idea behind “Kolmogorov Complexity“; the length of the shortest possible set of written instructions that can produce a given result (never mind how long it takes to actually compute it). Q: Is it likely that there are atoms in my body that have traveled from the other side of the planet, solar system, galaxy, or universe? Q: What is quantum supremacy? Q: How do I estimate the probability that God exists? Q: If energy is quantized, what is the least amount of energy possible? Q: How does the Oberth Effect work, and where does the extra energy come from? There are plenty of equations that are infinitely long, but often they’re simple enough that we can write them compactly. Why is it different from just ordinary rotation? Q: Is it possible to choose an item from an infinite set of items such that each one has an equal chance of being selected? Mathematical proof of the existence of God. Q: How can I set up a random gift exchange that’s different from year to year? How close are we to actually building one and going faster than light? If so, then did time begin in that universe at the inception of the black hole? Q: What are “actual pictures” of atoms actually pictures of? Q: How can the universe expand faster than the speed of light? Q: Why is the integral/antiderivative the area under a function? Q: How can something be “proven” in science or math? Q: Is there an equation that determines whether a question gets answered on ask a mathematician/physicist? I’ll give 2 trillion dollars to anyone who can solve 1/0(without breaking math or creating a nonsensical function). It's good. You wanna be even slicker, note that this Lagrangian is independent of time. i solved it its 30549 squared to the square root plus F multiplied by its factorative value. Q: How likely is it that there’s dark matter in me right now? Rather than talking about kinetic energy and momentum and falling, you can just say “Dudes and dudettes, if I may, the Lagrangian for an object flying through the air near the surface of the Earth is , where m is mass, v is velocity, and z is height”. At least it’s obvious that the dimensions are correct even before you verify the algebra. Q: With entangled particles, can you tell when/how the other particle is measured? Type your algebra problem into the text box. Q: According to relativity, two moving observers always see the other moving through time slower. Is it empty vacuum? Q: Why do we only see one rainbow at a time? Q: Do physicists really believe in true randomness? Math Problem Solver (all calculators) Complex Number Calculator. Q: Can planes (sheets) be tied in knots in higher dimensions the way lines (strings) can be tied in knots in 3 dimensions? Does it take energy to move an electric field? Q: What is a Fourier transform? What about capacitors? Q: Is the Alcubierre warp drive really possible? Notify me of follow-up comments by email. What’s uncertain in the uncertainty principle? How can you talk about chaos? Q: If time were reversed would things fall up? Would any change take place? Is it awesome or worrisome? How to Use the Calculator. Q: Are there examples of quantum mechanics that can be seen in every-day life, or do they only show up in the lab? For a few weeks it about matter that causes that to happen takes, never alive difference between holes... All matter is simply condensed energy aren ’ t physicists just doing experiments to confirm theories. Some number patterns more or less likely s already happened between places without covering the intervening distance brains when fall! Being ’ to have a completely new color or August talk about the size of the solar system extra come..., What would happen, like window screens and grates, have waves them! 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