# Math and Arithmetic

## Math is the study of abstractions. Math allows us to isolate one or a few features such as the number, shape or direction of some kind of object. Then we can study what can be learned about the behavior of those features while ignoring everything else about the object.

### How long will it take travel 30 miles by car?

That depends on the speed at which you are traveling. At 30mph, it will take one hour and at 60mph it will take 30 minutes, etc...

### Difference between solid angle and planar angle?

A solid angle is 3-dimensional, a planar angle is 2-d.

### What instrument measures liquid volume or capacity?

There are manu instruments capable of measuring liquid volume: In laboratories, typical volume measuring devices include graduated cylinders and beakers, and measuring/volumetric flasks. For home use, the equivalents are measuring cups and spoons. If you wanted to put a precise volume of a liquid into a jar you might use a burette (a graduated glass tube with a tap at the bottom that you can let exactly the right amount through). Or you could use a pipette (a glass tube with a bulge in the middle and a line on the neck. You suck liquid up until it reaches the line and depending on what the size of the pipette is you have an exact quantity. A measuring jug or normal scales works millilitres and grams are the same. Mathematically, if you know the dimensions of the container of the liquid you can find it's volume and calculate the volume. Or you could find the volume indirectly: for example by measuring the time it takes to fill at a known flow rate, or by measuring the mass of liquid and using the density. They use a graduated cylinder. graduated cylinder beaker or measuring cylinder.

### How do you factor 5x2 plus 10x - 40?

Here are some steps to factor out the polynomial like this: Factor out 5 to get: 5(x² + 2x - 8) Here is how to work out the decomposition of the center value: Find two integers such that the product of these integers is -8 and the sum of these two integers is 2. We know that the factors of 8 are 1 and 8 and 2 and 4. Good thing that we obtain the pairs of factors. Now, we need to determine what type of signs we need to assign each factor of 8. Since the sum of two integers is 2, the only two values that work are -2 and 4. How? 4 - 2 = 2. That gives the sum of 2. Then, 4 * -2 = -8, which gives the product -8. So we can rewrite the expression as: 5(x² + 4x - 2x - 8) Factor by grouping, we have: 5(x(x + 4) - 2(x + 4)) Therefore, by collecting the terms and grouping the binomial (x + 4), we obtain: 5(x - 2)(x + 4)

### How do you write twice the sum of a number x and 8?

Note that: "sum of two values" means that you are adding these values altogether. "twice the sum" means that you are multiplying the sum by 2. Therefore, we write 2(x + 8).

### How many people can you fit in a square meter?

it depends how big they are and how squished they are but probably about 14 =============================== Answer #2: Horsefeathers ! You would have a tough job trying to make more than one (1) person stand in one square meter of floor space.

### What is 65 percent of 170?

"65 percent of 170" is the same as saying "0.65 * 170". Evaluate that expression to obtain 110.5

### 24 grams equals to how many ml?

24 grams of water = 24 ml (at normal temperature pressure on Earth)

### What is 10 to the negative sixth power?

Expressed as a vulgar fraction, 10 to the -6 is equal to 1/1000000, or one one-millionth. Expressed as a decimal fraction, this is equal to 0.000001.

### What's 500 plus 500?

500 + 500 is equal to 1,000

### Is 5 over 6 bigger than 4 over 5?

5/6 is the same as 25/30 4/5 is the same as 24/30 Answer is YES.

### What are first 12 prime numbers?

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37

### What does it mean to solve a system of linear equations?

Find values for each of the unknown variables (or at least as many as is possible for the system) that satisfy all the equations.

### What are the next 10 prime numbers after 47?

The next ten primes after 47 are 53, 59, 61, 67, 71, 73, 79, 83, 89 and 97

### How many feet high is 116 meters?

116 meters=380.577428 feet

### How many centimeters equals 66 inches?

167.6cm, next time google inches to centimeters.

1/4

### 18.9 litres of water equals how many pounds?

firstly 1liter of water = 1 kg so 18.9 kg = 41.667368 pounds

### Suzanne can read 1page in 3 minutes how many can she read in 5 hours?

60 / 3 = 20 20 * 5 = 100 20 pages per hour x 5 hours = 100 pages in 5 hours

6561

### If it is 26.99 plus tax how much would it be?

That depends what the level of tax is. If the tax is 5%, then you would multiply 26.99 by .05 ; this will give you the amount of the tax imposed. You would then add the tax plus your original purchase price to equal your total. (\$28.34) If the tax is 9%, you would multiply 26.99 by .09 and so on. (\$29.42)

### What is a planar surface?

In mathematics, a plane is any flat, two-dimensional surface. A planar surface means that the surface of a material is straight in two dimensions, an example would be a perfectly flat smooth piece of glass. If an etch or chip is on the glass surface, or if the glass is heated and curves, then it is no longer a planar surface. Semiconductor fabrication requires the wafer to be a planar surface.

### How do you convert 6 oz to kilogram?

Formula: ounces x 0.0283 = kg 6 ounces x 0.0283 = 0.1698 kg Algebraic Steps / Dimensional Analysis6 oz*1 lb 16 oz*1 kg 2.2046 lb=0.1700971388 kg

### 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.

### How do you work out 2 thirds of something?

To calculate 2/3 of something, multiply the something by 2, then divide the result by 3. (If you'd prefer, the order doesn't matter, so you can also divide by 3 and multiply the result by 2.)