Math and Arithmetic

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The height of a typical story in a building is generally around 10 to 12 feet. Therefore, a 750-foot tall building would be approximately 62 to 75 stories high, depending on the specific height of each story. Most commercial buildings tend to average around 12 feet per story, while residential buildings often average closer to 10 feet.

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Rational functions are expressions formed by the ratio of two polynomials, typically represented as ( f(x) = \frac{P(x)}{Q(x)} ), where ( P(x) ) and ( Q(x) ) are polynomials. Key characteristics include their domain, which excludes values that make the denominator ( Q(x) ) equal to zero, leading to vertical asymptotes. Additionally, they may have horizontal or oblique asymptotes depending on the degrees of the numerator and denominator. Rational functions can also exhibit behavior such as holes in the graph, which occur when a common factor in the numerator and denominator is canceled.

An alphanumeric grid reference is used to precisely locate a specific point on a map by combining letters and numbers, which correspond to the grid system. This system enhances navigation and orientation by providing a standardized way to identify locations, making it easier for users to communicate coordinates. Additionally, it allows for quick referencing and reduces the chances of misinterpretation compared to using only numerical coordinates.

4,097 is 97 more than 4,000

4,097 is 903 less than 5,000

Therefore 4,097 - rounded to the nearest thousand - becomes 4,000.

A smaller image can be achieved by reducing its dimensions (width and height) or by decreasing its resolution (measured in pixels per inch). Additionally, using a lower quality setting when saving an image can also lead to a smaller file size. For example, resizing an image from 1920x1080 pixels to 800x600 pixels or saving it in a compressed format like JPEG with a lower quality setting will result in a smaller image.

To find the number of ways to make a certain amount of cents using dimes (10 cents) and nickels (5 cents), we can use the equation (10d + 5n = c), where (d) is the number of dimes, (n) is the number of nickels, and (c) is the total amount in cents. Rearranging gives (n = \frac{c - 10d}{5}). The number of non-negative integer solutions depends on the maximum number of dimes that can be used, which is (\lfloor c/10 \rfloor). For each value of (d), there is a corresponding value of (n) as long as (c - 10d) is non-negative and divisible by 5.

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'3n' is an algebraic expression, and means ' Three multiplied to 'n' '.

Same as the 'Rules' for any other 'times(Multiplication) table.

Here is the three times table.

3 x 0 = 0

3 x 1 = 3

3 x 2 = 6

3 x 3 = 9

3 x 4 = 12

3 x 5 = 15

3 x 6 = 18

3 x 7 = 21

3 x 8 = 24

3 x 9 = 27

3 x 10 = 30

3 x 11 = 33

3 x 12 = 36

et seq/.,

NB For each addition al multiplicand , the answer goes up by '3'.

10.05 = 10 5/100 = 10 1/20

1.005 as a fraction is 1 5/1000

Reduce the fraction . Hence ' 1 1/200 ' is the answer/

1005 million in numbers is ' 1.005,000,000 ' .

It is said/written as ' One billion, and five million '.

Meters are a metric unit of length, commonly used worldwide for measuring distance. In English units, one meter is equivalent to approximately 3.28084 feet or 39.3701 inches. Meters are part of the International System of Units (SI), which is based on the decimal system, making conversions straightforward compared to the more varied English measurement system.

An equivalent ratio for 10 and 14 can be found by simplifying the ratio or multiplying both numbers by the same factor. The ratio 10:14 can be simplified by dividing both numbers by their greatest common divisor, which is 2, resulting in the equivalent ratio of 5:7. Alternatively, multiplying both numbers by 2 gives the ratio 20:28, which is also equivalent.

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To find out what you need to add to -6 to get 4, you can set up the equation: -6 + x = 4. By solving for x, you add 6 to both sides, resulting in x = 4 + 6, which simplifies to x = 10. Therefore, you need to add 10 to -6 to get 4.

There is one cheat. Press Alt and F4, but it won't give you one million stickers.

Sin + Cos Does NOT equal '1'.

However,

Sin^(2) + Cos^(2) = 1 = ( 1^(2)

It is by Pythagoras.

Remember in a right angled triangle

H^(2) = o^(2) + a^(2)

Assume ' h = 1'

Then 1^(2) = 1 = o^(2) + a^)2)

But o = hSin & a = hCos

Substituting

1^(2) = (hSin)^(2) + (hCos(^(2))

However, we assume h = 1

Hence

1^(2) = Sin^(2) + Cos^(2)

x+2)

by Algebraica Long Division.

x^(3) + 3x^(2) + 3x + 2 ) = x^(2) + x + 1

-x^(3)- 2x^(2)

¬

0 + x^(2) + 3x

0 - x^(2) - 2x

¬

0 + 0 + x + 2

0 + 0 - x - 2

¬ = 0

Hence answer is x^)2) + x + 1 ( Thos does NOT factor .

X squared divided by 2 can be expressed mathematically as ( \frac{x^2}{2} ). This represents half of the square of the variable ( x ). It simplifies to a function where the output is proportional to the square of the input, scaled down by a factor of 2.

In different parts of the world, it goes by different names.

West Indies and Southern U S A ; An Hurricane

Bay of Bengal(India) ; A Cyclone

South China Sea ; A Typhoon

Northern Australia ; A Willy Willy ( Aboriginal name).

Elsewhere in the world, notably S.E. Africa and Brazil(S AMerica), an Hurricane.

eight hundred and twenty-three thousand, seven hundred and seventy-four