Algebra

The ancient Olympic Games in 776 BC primarily featured competitors from various city-states of Greece, as it was an event exclusive to Greek athletes. Notably, there were no countries in the modern sense; instead, athletes represented their individual city-states, such as Athens, Sparta, and Corinth. The games were a significant cultural event, emphasizing unity among the Greek states through competition.

To multiply the numbers in scientific notation, you multiply the coefficients and add the exponents. Thus, (5e \times 7e = (5 \times 7)e^{(1+1)} = 35e^2). The result is (35e^2).

Since ( y ) varies directly as ( x ), we can express this relationship as ( y = kx ), where ( k ) is the constant of variation. Given that ( y = 75 ) when ( x = 5 ), we can find ( k ) by substituting these values: ( 75 = k(5) ), which gives ( k = 15 ). Thus, the equation is ( y = 15x ). When ( x = 1 ), substituting gives ( y = 15(1) = 15 ).

44/110

Cancel down by '11'

4/10

Cancel down by'2'

2/5 The simplest form

0.75 = 0.75/1.00

Cancel down the decimal point

075/100

Drop the prefix '0'

75/100

Cancel down by '25'

3/4 as a fraction in its simplest form.

Per cent roughly translates to "out of one hundred." To change a percentage to a fraction, just put it over one hundred and reduce it if you can. 47% is 47/100.

46% is 46/100, or 23/50. 25% is 25/100, or 1/4.

1.061208^(1/3) = 1.02

NB THe index number of '1/3' means the 'Cube Root'.

2x^(2) - 5x - 12

First write down all the factors of '2' & '12'

2 = 1,2

12 = 1,12; 2,6; 3,4 .

From this we select two pairs of numbers, one pair from each coefficient, that add/multiply to '5'

They are, 1,2 & 3,4

Hence

-(2 x 4) + (1 x 3) = -8 + 3 = -5

Set up the brackets

(2x 3)(x 4)

Hence the signs are

( 2x + 3)(x - 4)

4x^(2) - x + 2x^(2) =

6x^(2) - x

X + X + X + X = 4x

It is the same as 4 x X = 4x

Think numbers .

3 + 3 + 3 + 3 = 12 = 4(3)

or

4 x 3 = 12 = 4(3)

In mathematics instead of writing a 'string of plusses(+), it is easier to write the number of plusses multiplied to the given number.

-47

1 x 54 = 54

2 x 27 = 54

3 x 18 = 54

6 x 9 = 54

x times 1 is x. Anything times 1 is still that same anything.

18+14=42

37 is a prime number, so the only factors that multiply to get it are 1 and 37.

The width is 22/8 or 11/4 or 2.75. The length is 66/8 or 33/4 or 8.25.

Length = 3W

3W + 3W + W + W = 8W

8W = 22

W = 22/8

L = 66/8

Then, you can simplify as you choose.

Cnidocytes are specialized cells found in cnidarians, such as jellyfish, corals, and sea anemones. Their primary function is to capture prey and provide defense; they contain nematocysts, which are stinging structures that can inject toxins into potential threats or prey. When triggered, cnidocytes rapidly discharge their nematocysts, allowing the organism to immobilize or deter predators and facilitate feeding.

NO!!!

The sum of the two shorter sides ( 8 + 9 = 17) MUST be greater than the longest side 20

17 < 20 So not possible

A linear system of equations can have three types of solutions: no solutions, exactly one solution, or infinitely many solutions. If the equations represent parallel lines, there are no solutions. If they intersect at a single point, there is exactly one solution. If they coincide (are essentially the same line), there are infinitely many solutions.

A quadratic equation is used to model situations where a variable's relationship with another variable produces a parabolic shape, such as projectile motion, optimizing area or profit, and analyzing certain economic trends. It is often applied in physics to determine the trajectory of objects, in finance to calculate maximum profit points, and in various engineering problems. Additionally, quadratic equations can be used to find the roots of functions, which can help identify key points in graphs.

150 feet are in 50 yards.

V = (4/3) pi r^(3)

V = ( 4/3) pi ( 59.7cm)^(3)

V = 1.333..... X 3.141592,.... X 212,776.173 cm^(3)

V = 891,274.74925 cm^(3) = 0.89127474... m^(3)

2x - 3x = -x

According to Wittgenstein's Finite Rule Paradox every finite sequence of numbers can be a described in infinitely many ways and so can be continued any of these ways - some simple, some complicated but all equally valid.
The Nth term, according to the simplest rule (a quadratic), is T(n) = n^2 - 2