Q: What’s so special about the Gaussian distribution (i.e. Q: If atoms are mostly made up of empty space, why do things feel solid? Q: Why are numerical methods necessary? If something were moving fast enough, would it become a black hole? Q: How hard would it be to make a list of products of primes that could beat public key encryption? Q: Can you beat the uncertainty principle using entanglement, by measuring position on one particle and momentum on the other? Q: Why is hitting water from a great height like hitting concrete? We offer an algebra calculator to solve your algebra problems step by step, as well as lessons and practice to help you master algebra. Q: What are fractional dimensions? Q: Can things really be in two places at the same time? Algebra is a branch of mathematics that substitutes letters for numbers. Q: How does a scientist turn ideas into math? The notes contain the usual topics that are taught in those courses as well as a few extra topics that I decided to include just because I wanted to. Q: Why does gravity pull things toward the center of mass? Why is it different from just ordinary rotation? Q: If the world were to stop spinning, would the people and everything on it be considered ‘lighter’ or ‘heavier’? Q: Why does the leading digit 1 appear more often than other digits in all sorts of numbers? If so, where? What is “pure energy” like? some of the characters some people put aren’t even valid mathematical functions… hmmmm…. A lot more, but thats broken down. 2y + xi = 4 + x − i. Maths is quite interesting, i just looked this up cuz i was bored but i SUCK at math i’m so dumb T-T, Guys my answer is correct because I solved it on the calculator the answer is error. Q: Since pi is infinite, do its digits contain all finite sequences of numbers? Q: According to relativity, two moving observers always see the other moving through time slower. And does centrifugal force have an effect on gravity? Take the square root of each side, and, Simplify the radical, using the equivalence for i, and the complex solutions are. For K-12 kids, teachers and parents. For the first time ever, you can buy a book! Q: How big is the universe? Q: How do you talk about the size of infinity? By “we” I mean humans. Online math solver with free step by step solutions to algebra, calculus, and other math problems. Is this not a paradox? How did we first figure out it was 3.14…? Q: Can light be used to transfer energy instead of power lines? Q: Are there an infinite number of prime numbers? How an Inmate Serving a Murder Sentence Made a Math Discovery. Q: Is there a number set that is “above” complex numbers? But what’s contracting? Q: Does the 2nd law of thermodynamics imply that everything must eventually die, regardless of the ultimate fate of the universe? In any other instance can energy ever be destroyed or created? WebMath is designed to help you solve your math problems. And many scientists admit they are often fond of particular formulas not just for their function, but for their form, and the simple, poetic truths they contain.While certain famous equations, such as Albert Einstein's E = mc^2, hog most of the public glory, many less familiar formulas have their champions among scientists. My bad: If fusion in the Sun suddenly stopped, what would happen? Q: If nothing can escape a black hole’s gravity, then how does the gravity itself escape? Q: If the Sun pulls things directly toward it, then why does everything move in circles around it? It also shows you how to check your answer three different ways: algebraically, graphically, and using the concept of equivalence.The following table is a partial lists of typical equations. Why do mathematicians and high school teachers disagree? This equation factors into (x2 – 9) (x2 + 9) = 0. If you use a magnifying glass to burn ants, aren’t you making a point hotter than the ambient temperature without losing energy? Q: Are some number patterns more or less likely? Q: What are the Intersecting Chord and Power of a Point Theorems? Like π itself, this sum goes on forever, but it isn’t complicated. Q: What is the “monogamy of entanglement”? Q: What are the equations of electromagnetism? Q: Why haven’t we discovered Earth-like planets yet? Q: What is the probability that two randomly chosen people will have been born on the same day? Could you ask them which slit they went through afterwards? In other words: this is a derivation of the conservation of energy for free-falling objects. So while the situation itself is complicated, the equation describing it isn’t. Q: Is there a formula for finding primes? Their ratios form the field of meromorphic functions on X . Q: Why is the speed of light the fastest speed? Q: What is the optimum spectrum to visualize things with? Q: Why is it that (if you exclude 2 & 3) the difference between the squares of any two prime numbers is divisible by 12? Q: If two trains move towards each other at certain velocities, and a fly flies between them at a certain constant speed, how much distance will the fly cover before they crash? Q: What’s the chance of getting a run of K or more successes (heads) in a row in N Bernoulli trials (coin flips)? 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: How can we see the early universe and the Big Bang? Why all the fuss over carbon-based life? Use the Lasso Select tool to draw a circle around the equation. But doesn’t something new need to be made up for the square root of i? Q: Is darkness a wave the way light is a wave? Q: If you double your bet every time you lose, won’t you eventually win and come out ahead? That’s why math books are mostly words. Q: How can the universe expand faster than the speed of light? Get help on the web or with our math app. The numbers are constants. Q: Is the edge of a circle with an infinite radius curved or straight? Are they discovered or invented/created by humans? Q: Is it possible to destroy a black hole? If so, then did time begin in that universe at the inception of the black hole? Q: How would the universe be different if π = 3? Q: What would you experience if you were going the speed of light? Couldn’t you just “mash in” the gravity vectors or whatever? A better question might be “what is the most (but not needlessly) complicated equation?”. What is the process of developing a picture of a higher dimensional object? What about after the black hole evaporates? Q: What’s the point of going to the Moon? Desmos offers best-in-class calculators, digital math activities, and curriculum to help every student love math and love learning math. Q: How is the “Weak nuclear force” a force? Find all the roots, real and imaginary, of 5x2 + 6x + 3 = 0. Q: How do we know that π never repeats? I’ve heard string theoreticians say that the equation describing the string theory, if this theory were to ever become verified, would be the most complicated equation of all physics. Using the multiplication property of zero, you determine that x – 2 = 0 and x = 2. Q: If the number of ancestors you have doubles with each generation going back, you quickly get to a number bigger than the population of Earth. Q: Does quantum mechanics really say there are other “mes”? Do primes follow a pattern? Q: How many mathematicians/physicists does it take to screw in a light bulb? It’s a cute recipe for succinctly and simultaneously describing a lot of dynamics that would make Kolmogorov proud. Does it take energy to move an electric field? Why is light so special? I am in third grade. Q: Does quantum mechanics really say that there’s some probability that objects will suddenly start moving or that things can suddenly “shift” to the other side of the universe? Where can I find the source code of this? Q: How can I set up a random gift exchange that’s different from year to year? If we can’t get exact solutions, then how do we know when our approximate solutions are any good? » And how did they measure it? your math homework again Understand the how and why See how to tackle your equations and why to use a particular method to solve it — making it easier for you to learn. Q: How do Bell pairs (entangled particles) behave experimentally? Step 1: Enter your equation. Why? the Earth orbiting the Sun) just an arbitrary reference frame decision, and no more true than the Earth being at the center? Q: Is the Alcubierre warp drive really possible? Each different variable (x 1 =x, x 2 =y, x 3 =z) tells you something different. Q: What does a measurement in quantum mechanics do? So if you really want to see the most complicated equation ever, call in sick for a few weeks. Q: What happens when you fall into a blackhole? Q: Would it be possible to create an antimatter weapon by “harvesting” enough antimatter, containing it in an electro-magnetic field and placing that in a projectile? Q: What causes friction? Does that mean we’re all a little inbred? Physicist: If you have plenty of chalkboard space and absolutely nothing better to do, you can write down numbers, letters (Greek if you’re δυσάρεστος), and mathematical operators and eventually you’ll have the longest equation ever written down. More math can be found in the kitchen than anywhere else in the house. If the Earth was flat and had infinite area, would that change the answer? Q: Can you fix the “1/0 problem” by defining 1/0 as a new number? You can write it in mathspeak as . Learn more: Create your equation using ink or text. Q: If we find a “Theory of Everything” will we be done? Where are they? Wouldn’t God’s observation of the location of the photon collapse its probability wave function? Your email address will not be published. If they do, is the future determined and what does that mean for quantum randomness? The “action”, , is a function of the path a system takes, . Q: Where do the rules for “significant figures” come from? Where does the energy and matter for the new universes come from? In the case of  we find that this constant thing is: Astute students of physics 1 will recognize the sum of kinetic energy plus gravitational potential. Q: Are shadows 2-dimensional? Q: How can photons have energy and momentum, but no mass? will always be such that the “chosen” path will have the minimum total Lagrangian along that path. It's interesting. Have virtual particles ever been observed? Q: Is there such a thing as half a derivative? Math Problem Solver (all calculators) Complex Number Calculator. Q: Is the quantum zeno effect a real thing? So tricky, in fact, that it’s become the ultimate math question. In practice this is absurd (there are a few hundred billion stars in the Milky Way, but we can’t see most of them because there’s a galaxy in the way), but the equation you would use is pretty straight forward. Q: Can a human being survive in the fourth dimension? Q: Is it of any coincidence that mathematics is able to describe physical reality – given that both are inventions of the human mind? Theoretically, which type of vision would be the best to see things with? Q: What causes iron, nickel, and cobalt to be attracted to magnets, but not other metals? An example of an equation without enough real solutions is x4 – 81 = 0. What does it do? These Algebra 1 Equations Worksheets will produce distance, rate, and time word problems with ten problems per worksheet. It's good. There are lots of variables and things in the equations described above, so… the answer would depend on those variables:) most people make up weird equations on these kinds of forums. Q: If time is relative, then how can we talk about how old the universe is? Q: What is The Golden Ratio? The equation of everything (except gravity). Q: How good is the Enigma code system compared to today’s publicly available cryptography systems? Q: What’s that third hole in electrical outlets for? Q: How do those “executive ball clicker” things work? Following are answers to the practice questions: Add –9 to each side to get x2 = –9. Q: Why haven’t we been able to see the spectra of anti-hydrogen until recently? What’s the point? Are some betting schemes better than others? The two real solutions of … Not until you have the imaginary numbers can you write that the solution of this equation is x = +/–i. “2+2=4” means nothing to an alien until after you tell them what each of those symbols mean and how they’re being used. Q: Why does oxygen necessarily indicate the presence of life? Once you’ve got the Lagrangian of a system, you can describe the behavior of that system by applying the “principle of least action“, which says that the behavior of a system (the orbit a planet takes, the path of light through materials, etc.) Q: Why is the integral/antiderivative the area under a function? Q: If a man hangs on an un-insulated wire using both his hands what will happen and why? For instance, the equation x2 + 1 = 0 has no real solutions. Multiplication … You may select the numbers to be represented with digits or in words. Q: How can we prove that 2+2 always equals 4. Do they remain entangled? Q: Is there some way to actually play quidditch? Q: Is the final step in evolution an ascension into an energy-based lifeform? Q: How can quantum computers break encryption? Physics and engineering students beyond their introductory courses are the intended audience and will benefit the most. Q: What’s the difference between anti-matter and negative-matter? Q: Are explosions more or less powerful in space? Isn’t it gravity that makes the dip in the first place? Post was not sent - check your email addresses! In regular ol’ calculus, if you want to find the value of x that extremizes a function f(x), you solve for the value x. The Algebra 1 course, often taught in the 9th grade, covers Linear equations, inequalities, functions, and graphs; Systems of equations and inequalities; Extension of the concept of a function; Exponential models; and Quadratic equations, functions, and graphs. Q: Why do wet stones look darker, more colorful, and polished? Q: What is the meaning of the term “random”? Relativity and Quantum Mechanics: the elevator pitch. Q: After the heat death of the universe will anything ever happen again? Q: In relativity, how do you define “the observer”? Q: Is it more efficient to keep keep a swimming pool warm or let it get cold and heat it up again? Q: Why does lightning flash, but thunder rolls? You can describe it simply and in such a way that anyone (with sufficient time and chalk) can find as many digits of π as they like. All the relevant dynamics are there, but there’s a lot of unpacking to do before that becomes remotely obvious. Is the Sun being at the “center” (i.e. Q: What role does Dark Matter play in the behavior of things inside the solar system? Find all the roots, real and imaginary, of x4 + 12x2 – 64 = 0. 푖—Finding 휁 ( s ) gets tricky modern technology, are you guaranteed to eventually an! Beyond their introductory courses are the atoms in living things any different from the atoms dead... Away is the probability that God really does play dice with the MathPapa website, or that! How an Inmate Serving a Murder Sentence made a math Discovery step solutions to,... Were shrunk to microscopic size would you fall into a black hole or math has the same thing x. Is no ax² term = –16 take a picture of a problem and when. 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