Calculus

The substitution method in mathematics is a technique used to solve systems of equations by isolating one variable and substituting it into the other equation. The method is not attributed to a single inventor, as it has been used by mathematicians for centuries. The concept of substitution in algebra can be traced back to ancient civilizations such as the Babylonians and Greeks, who used similar methods to solve mathematical problems.

Well, honey, that's a jumbled mess of an equation you've got there. It looks like a basic addition problem with some numbers all mixed up. If you rearrange the terms, you'll see it's just y + x + z = yxz. So, grab a pen and paper, and get that math sorted out, darling.

Well, isn't that a happy little math problem we have here! To find out what x is, we can simply subtract 3 from both sides of the equation. So, x equals 4! Just like painting a beautiful landscape, sometimes all it takes is a few gentle brushstrokes to reveal the hidden beauty within.

Oh honey, you've got yourself a little math problem, don't you? Well, let me break it down for you. 6x^2 divided by 2x^2 is just 3. Yep, that's it. So simple even a toddler could do it. You're welcome.

The volume of a standard drum can vary, but a common size is a 55-gallon drum. To convert gallons to liters, you can use the conversion factor 1 gallon is approximately equal to 3.78541 liters. Therefore, a 55-gallon drum would contain approximately 208 liters (55 gallons x 3.78541 liters/gallon).

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"10x - x" is basically 10 x's minus one x. The answer is 10 minus 1, but in terms of x. Since 10 minus 1 is 9, the answer is 9x.

An estimated value is an approximate value that is calculated based on available information, assumptions, or simplifications. It is used when the exact value is not known or is difficult to determine. An actual value, on the other hand, is the precise and accurate value of a quantity obtained through direct measurement or observation. It represents the true value of the quantity being measured.

Well, honey, three quarters of 4 is simply 3. You take 4, divide it into four equal parts, and then take three of those parts. Voilà, you got your answer. Math can be a piece of cake when you break it down like that.

0.607 as a fraction can be expressed as 607/1000. This is because the decimal 0.607 can be written as 607 divided by 1000. To simplify this fraction, you can divide both the numerator and denominator by their greatest common factor, which in this case is 1. So, the simplified fraction for 0.607 is 607/1000.

Oh, what a happy little question! When you have zero of something and you take away zero of that same thing, you are left with... well, still zero! It's like having an empty canvas and not adding any colors yet. Just a peaceful blank space waiting for your creativity to bring it to life.

43.879999999999995

3x+x=4x. The 3x is just an easier way of stating x+x+x, and then you would just count the x's up like normal to create a total. You can also do this with larger numbers. For example, if you have 100x+500x, you would still add the numbers together to create a total of 600x. As long as the variables (x, in this case) are the same in the numbers you're adding (i.e., you can't add 3x+y together) you can just add the numbers to create your total.

Oh, dude, the square root of 100000000 is 10000. It's like, you take the square root of 10, which is 3.16227766017, and then multiply it by 1000 because there are four sets of three zeros in 100000000. So yeah, 10000 is your answer. Math, man, it's wild.

Oh, dude, you're hitting me with the math questions now? Alright, alright, 0.5 times 0.8 equals 0.4. So, like, if you have half of something and then take 80% of that half, you're left with 0.4 of that thing. Math can be fun, right?

Oh, dude, you're hitting me with the Toyota engine trivia! So, the Toyota 3K engine typically consumes around 10-12 kilometers per liter, while the 4K engine can go for about 12-14 kilometers per liter. But hey, who's counting when you're cruising in a Toyota, am I right?

Well, darling, that's the equation of a circle with radius √15 centered at the origin. To graph it, just draw a nice little circle with a radius of about 3.87 units. And there you have it, a perfect circle to add some pizzazz to your math class.

three squared = 3^(2) = 3 x 3 = 9 The answer!!!!!

Einstein figured out this formula: Energy equal mass * 89,875,517,800,000,000 mtr²/sec²

The expression (X^2 - Y^2) / (X - Y) can be simplified using the difference of squares formula, which states that a^2 - b^2 = (a + b)(a - b). Applying this formula, we get (X + Y)(X - Y) / (X - Y). The (X - Y) terms cancel out, leaving us with the simplified expression X + Y. Therefore, (X^2 - Y^2) / (X - Y) simplifies to X + Y.

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what is

The signum function, also known as the sign function, is not differentiable at zero. This is because the derivative of the signum function is not defined at zero due to a sharp corner or discontinuity at that point. In mathematical terms, the signum function has a derivative of zero for all values except at zero, where it is undefined. Therefore, the signum function is not differentiable at zero.

There is no solution yet, for x is an unknown. Once x is known, one can plug in the numbers. 4x-2=4x-2 because they are the exact same on both sides of the equal sign.

To solve this one, subtract 50 from 180 and you'll have your answer.