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# Math and Arithmetic

### What is the difference between 2D and 3D? 2D and 3D refer to the actual dimensions in a computer's workspace. 2D is 'flat', using the X & Y (horizontal and vertical) axis', the image has only two dimensions and if turned to the side becomes a line. 3D adds the 'Z' dimension. This third dimension allows for rotation and depth. It's essentially the difference between a painting and a sculpture.

### What is 70 percent off of 145? Note that if something is 70% off, then we are left off with 30% of the original value. The 70% off of \$145 is: \$145 * .7 = \$101.50 If we want to determine the remaining value after 70% off, then we have: \$145 * .3 = \$43.50.

### What is 4.3 as a percent? to convert a decimal to a percentage you multiply it by 100 or move the decimal point back 2 times in this case you chose 4.3 which would be 430%Another way to tell is that you have 4 wholes since 4 is in front of the decimal point which makes the 400% the 3 in back of the decimal point would be 3/10 since 3 divided by 10 is .3, times 100 to turn it to a percentage. so .3 times 100 would be 30(%) if you add up the 400% and the 30 % you will get 430%

### What is 20 minutes as a decimal? There are many ways to express 20 minutes in decimal form. 20 minutes is congruent to 20 / 60 hours = 1 / 3 hours ≈ 0.33 hours. 20 minutes is also congruent to 20.0 minutes 20 minutes is also the same as 20 / (60 * 24) days = 1 / 72 days ≈ 0.0139 days

### What is the antiderivative of -cscxcotx? First, antiderivative = a solution to the indefinite integral therefore to integrate -(csc(x))(cot(x)) first convert it to -cos(x)/sin2(x) To integrate ∫-cos(x)/sin2(x) dx, use substitution u = sin(x) and du/dx = cosx This will make it ∫-1/u2 du and the antiderivative is 1/u +c, therefore the answer is 1/sin(x) + c.

### How many ml is 7 oz? Ounces can't be converted to ml. Except with a few things that are "pint for pound" which means their density matches their volume. Fluid ounces can be converted however. 1 US fluid ounce = 29.57 ml 7 US fluid ounces = 207 ml

### What is 27x cubed plus 343y cubed factored? In order to factor the sum of the cubes, we need to use this form a³ + b³ = (a + b)(a² - ab + b²). Let a³ = 27x³ and b³ = 343y³. Then, a = 3x and b = 7y. Perform substitution of these terms for the form, and we obtain: 27x3 + 343y3 = (3x + 7y)(9x2 - 21xy + 49y2)

### Is 5 feet 9 inches and 148 pounds fat? No, that is not considered fat. If you wanted to lose five pounds then it wouldn't hurt, but if you really don't want to, then it's not necessary.

### 180 mL to liters? milli = one thousandth. milliliter = 1 one thousandth of a liter if you have 180 thousandths of a liter, you have 0.180 liters.

### What is a term for an infinitely repeating image such as the label on land o lakes butter? The term used to describe an infinitely-repeating images such as the Land O'Lakes butter packaging design featuring an Indian maiden is an 'infinite-loop motif' also known as the 'Droste effect'. The first term is self-explanatory; the second is named for the logo used by the Dutch brand of cocoa powder, Droste, which features an image similar in concept to the Land O'Lakes butter logo. The infinite-loop motif has long fascinated artists and viewers alike. We know the motif doesn't really keep repeating forever, but the idea that it appears to do so fires our imagination. A link below gives more information on the Droste effect. Professor Mandelbrot, the mathematician who died in October 2010, coined the term 'fractal', describing the boundary of the Mandelbrot set named for him: this describes an 'interated function', a mathematical function, an iteration, repeating itself indefinitely. There is an inviting similarity between fractals and the infinite-loop motif, even if viewed solely as an art form.

### 2a square b square plus 5ab square plus 8a square b square - 3ab square? 2a2b2 + 5ab2 + 8a2b2 - 3ab2 This can be further simplified to: 1. 10a2b2 + 2ab2 2. 2(5a2b2 + ab2) 3. 2ab2(5a + 1)

### How many meters is 1.5 acres? There is no sensible answer to this question. An acre is a measure of area, with dimensions [L2]. A metre is a measure of distance, with dimensions [L]. Basic dimensional analysis teaches that you cannot convert between measures with different dimensions without additional information.

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