Math and Arithmetic

YES!!!!

Any Number raised to the power of '0' equals '1'.

It is a consequence of the isomorphism between powers of numbers under multiplication and their indices under addition.

This leads to the definition of x-a as the [multiplicative] inverse of xa.

Then xa * x-a = xa-a = x0

But since x-a is the inverse of xa, their product is 1.

That is to say, x0 = 1.

x - a = y -6

Subtract 'x' from both sides.

-a = y - 6 - x

Multiply both sides by ;-1;

a = -y + 6 + x Solved.

x is equals to 0 or 1.

How is it solved? ....

x.x =x

x.x - x = 0 which can be solved by the usual formula for quadratic equations, or..

x.(x-1)=0

x= 0 or x-1 =0

x=0 or x=1

This is not solvable, as you have not equated it to any value. You have just given an 'Algebraic Expression'.

Let y^(3) = x

Hence y^(6) = x^(2)

Substitute

6x^(2) - 5x - 4

Factor

( 2x + 1)(3x - 4)

Substitute back

2y^(3) + 1 & 3y^(3) - 4

5y^(3) - 125y =>

5y(y^(2) - 25) =>

5y(y^(2) - 5^(2)) =>

5y(y- 5)(y + 5)

Done !!!! Gully Factored!!!!!

5y - y = 4y

Two thousand million Two billion

Two times ten to the ninth (2 × 109)

(The British and the Americans disagree about what is a billion and a trillion etc.) No one disputes that 2 000 000 000 is "Two times ten to the ninth"

Scientific notation is good too: 2,0 E9

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360

100 pennies = $1.00

100 pennies X 1,000,000 = 100,000,000 pennies.

100,000,000 (100 million) pennies make a million dollars.

To find out how many dollars 46,000 pennies make, you divide the number of pennies by 100, since there are 100 pennies in a dollar. Therefore, 46,000 pennies is equal to 460 dollars.

6200000 pennies.

1500000 pennies = 1500000/100 = 15000 dollars

4000000 pennies is exactly 4000000 pennies.

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In one word 'NO!!!!'.

To compare decimal size.

Bring both decimals to the same number of decimal places , by inserting suffix zeroes. . In this case, it is already done at 4 d.p.

Hence 0.0008 : 0.0012

Next drop the decimal point.

00008 : 00012

Next drop the prefix zeroes.

8 : 12

I think you will agrees that 8 < 12 .

Hence it follows that 0.0008 < 0,0012

To simplify ratios. Take the smallest ratio , and divide it into itself, and then divide the smallest ratio in to the larger ration.

Hence 15 : 33 becomes

15/15 : 33.15

1 : 2.2

However, if you wish to keep whole numbers ( rather than decimals), look for a common factor. In this case '3'

Hence

15/3 : 33/3

5 : 11

NB Notice ratios are separated by a colon ':' . . When said it is ' Five to eleven'. or ' one to two point two;.

NNB Double /equivalent ratios are separated by a double colon ' :: '.

e.g.

15:33 :: 5:1 :: 1:2.2

The way to write it in words is... fiftytwo point eight.

EXT. ANGLE = 360/13 = 27.69...

INT. Angle = 180 - 27.69... = 152.31...

SUM of interior angles - 152.31... X 13 = 1980 degrees.

-2/3 - 5/6 =>

-4/6 - 5/6 =>

-9/6 =>

-1 3/6 =>

-1 1/2 The Answer!!!!!

0.00000675 in scientific notation = 6.750000e-6

The area of a circle is figured out using the formula

Now, the circle we are given has a radius of 9cm. So, the area of the circle would be:

Area = 3.14 x (9)2

= 3.14 x 81

= 254.34 cm2

The area of the circle in question is 254.34 cm2