Algebra

First, find the least common multiple of 4 and 3 (the denominators). This is 12. 3/4 = 9/12 and 2/3 = 8/12 So the revised question is: 9/12 minus 8/12 easy enough? (pssst. the answer is one twelfth)

1,000 multiplied by 1,000 is 1,000,000.

A Rectangle ( or a square)

The cube root of the number 8 is 2(two).

Cube Root-a number when multiplied 3 times equals a given number.

4

cu.rt.(342) = 342^(1/3) = 6.993190657.... ~ 6.99 (2 d.p.).

The number 45 can be expressed as a ratio in various ways. For example, it can be represented as the ratio 45:1 or simplified to 9:1 by dividing both sides by 5. Additionally, it can also be expressed as a fraction, such as 45/1, which is equivalent to the same value.

A posteriori knowledge refers to understanding that is derived from experience or empirical evidence, making it a key component of empiricism. Empiricism is the philosophical stance that emphasizes the role of sensory experience in the formation of knowledge, asserting that all knowledge is ultimately grounded in observation and experimentation. Therefore, a posteriori knowledge supports the empiricist view by highlighting how our understanding of the world is shaped by our experiences. In contrast, a priori knowledge is independent of experience, relying instead on reason or intuition.

Can you ell me how much all this is worth???

2/15

Infinite!!!!

'pi' is an irrational number, which means that the decimal digits recur to infinity(go on forever), AND there is no regular order in the decimal digits.

'Supa - Dupa' Computers have calculated 'pi' to 50 billion places and still going.

When you are given pi = 3.14 or 3.1416 etc., these are only approximate values.

Well, darling, the answer to 2X times 3X is 6X^2. Just multiply the coefficients and add the exponents because math doesn't have time for drama. So there you have it, simple and straight to the point.

Curved surface area includes the area of the length of the cylinder only whereas surface area includes the two bases as well...

Agreed with anonymous 14 y ago.

However,

2pir^(2) + 2pirh

can be factor to

2pir(r + h)

So S.A.(Cyl) = 2pir(r + h)

e.g. a cylinder of radious 2 cm and a height/length of 24 cm

Has a surface area of

SA(cyl) = 2(3.14)(2(2 + 24) =>

SA(Cyl) = 3.14(4)(26)

SA(Cyl) = 3.14(104)

SA(Cyl) = 326.56 cm(2)

There are 40 (5 x 8) pints in a 5 gallon vessel.

An imperial pint (20 fl oz) is 0.020068 cu ft. Thus 40 x 0.020068 = 0.80272 cu ft.

QED

A handsaw is a manual cutting tool used primarily for cutting wood and other materials. It features a long, serrated blade that allows users to make precise cuts by manually sawing back and forth. Handsaws are commonly used in woodworking, carpentry, and construction for tasks such as framing, trimming, and crafting. Their portability and simplicity make them an essential tool for both professional tradespeople and DIY enthusiasts.

The Golgi body, or Golgi apparatus, functions as a key organelle in the processing, packaging, and distribution of proteins and lipids synthesized in the endoplasmic reticulum. It modifies these molecules by adding carbohydrate or phosphate groups and sorts them for transport to their final destinations, either within the cell or for secretion outside the cell. Additionally, the Golgi body plays a role in the formation of lysosomes and the synthesis of certain polysaccharides.

Rational numbers are those that can be expressed as a ratio of two integers. So 2, which can be expressed in such a way, for example, (-2) / 1 or 2 / (-1) is a rational number.

A Twelve(12) sided 2-dimensional figure.

From the Classical Languages.

'Do' ; two(2)

'Deca' ; ten(10)

'Gon' ; a 2-dimensional figure.

NB 2 + 10 = 12

Hence 'Dodeca' ...

36

In an experiment, the independent variable is the factor that is manipulated or changed by the researcher to observe its effects. The dependent variable is the outcome or response that is measured to determine the impact of the independent variable. For example, if studying the effect of different amounts of sunlight on plant growth, the amount of sunlight is the independent variable, while the growth of the plants is the dependent variable.

Depends on the density of 'dirt'. I'll guess about 2.5 x that of water. 13 x 20 x 6 x 62.4 x 2.5 / 2000 = 121.68 tons of course if my guess for dirt is too high, just divide by 2.5 and multiply by the real specific gravity of dirt.

The square root of 89 is approximately 9.434. This value is not a whole number, as 89 is not a perfect square. If you need a more precise value, it can be expressed as approximately 9.433981.

To write 65,402.09 in expanded notation, break it down by place value. It can be expressed as 60,000 + 5,000 + 400 + 0 + 2 + 0.09, which highlights the value of each digit in the number.

x^(5) X x^(6) = x^(5 + 6) = x^(11)

NB When calculating exponentials

#1 ; the coefficient 'x' MUST be the same.

#2 ; When dividing .subtract the exponentials

#3 ; When 'nesting' , multiply the exponentials.

e.g.

Multiplication ; given above.

Division [x^(5)] / [x^(6)] = x^(5 - 6) = x^(-1) (= 1/x)

'Nesting' [x^)5)]^(6) = [x^(5 x 6)] = x^(30)

NNB When x^(5) X y^(6) cannot be done by this method as the coefficients 'x' & 'y' are different.. The coefficients MUST be the same.