Teaching Resources

An isosceles triangle with its apex cut off by a line parallel to the base.

Farting is not bad because that means you have to get gas out of your system it has to be out. Farting is really good and farting is even better because that means you can stink the people up.

A unit conversion ratio

Substitute for an actor.

Two-Dimensional Materials

Chart

Graph

Map

Photograph

Cartoon

Poster

Diagram

Who knows the wont tell me the answer i am stuck. But i think that it has a big role. especially in the men the think that is very important. So that you can read the Hebrew language.

4 sides

A square

A square.

Keyboard, Mouse, Barcode Reader, Scanner - any device that takes user input.

globes are used to find a country or etc.

Phonetics is the way words and letters are pronounced. If you know how to pronounce things, then when you see a word written down, you can figure out how it's pronounced. Since most kids learn how to talk before they can read, knowing how to say a word usually means you know what the word means.

For example: Let's say you're a kid learning to read. You already know how to talk and say things like "I want candy" but you see a new word you've never read before. It says C A N D Y ... since you know what each letter sounds like, you start making the sounds and realize that the word IS "candy" and you've just read it!

.7

F = First

O = Outside

I = Inside

L = Last

It's for the Order of Operations

Yes.

67.666 % literate people

The domain includes the numbers that serve as the input to a function. In contrast the range are the outputs which corresponds to the domain.

for example in the equation f(x)=(2-x)^2 the domain is given by the numbers you choose to substitute in for x and the range is given by the values of "f" that correspond to those substitutions. when you graph the function "over all real numbers" you are choosing the domain to go from negative infinity to positive infinity. If i choose the domain to be all integers from 0 to 4 then we would have the following:

f(0)=(2-0)^2=4

f(1)=(2-1)^2=1

f(2)=(2-2)^2=0

f(3)=(2-3)^2=1

f(4)=(2-4)^2=4

so we chose the domain to be (0,1,2,3,4) and that gave us the following range (4,1,0)

If our function was instead something like this: f(x,y)=x+y then we have two input variables, x and y. so this means the domain must be specified for each variable just like it was specified for the single variable in the previous example. here is an example:

lets choose our range for this same function, f(x,y)=x+y, to be x: {0,1,2} and y: {0,1,2}. then we would have the following

f(0,0)=0+0=0

f(0,1)=0+1=1

f(0,2)=0+2=2

f(1,0)=1+0=1

f(1,1)=1+1=2

f(1,2)=1+2=3

f(2,0)=2+0=2

f(2,1)=2+1=3

f(2,2)=2+2=4

so the corresponding range for that domain would be (0,1,2,3,1)

You can see how complex things get with multiple variables as inputs to a function. But what happens when we assign an interval to each x and y domain? In this case since the domain is more complex it is not given by a single interval (e.g x goes from 0 to infinity) but rather by two intervals which comprise a region.

As an example of this lets choose our domain to be all of the points (x,y) that would make up the region inside of a circle of radius 1 around the origin of a Cartesian coordinate system. An easier way to specify this domain is by saying: "the domain is given by all of the points where x^2+y^2<1" this is because that is the equation for a disc centered at the origin.

so how do we find the range for this domain? It would take an infinite amount of time for me to substitute random values in for x and y as i have done before. Another more practical way to visualize the range is to use a coordinate system with 3 axes, an x-axis, a y-axis, and a range-axis. the range can be determined by graphing the function, f(x,y)=x+y, on this system of coordinates but only including those values that lie over the circular region (our chosen domain) on the xy-plane of the coordinate system.

What happens if we extend this domain and range analysis to functions of not one, not two, but three variables. if our function is something like, f(x,y,z)=x+y+z then we would not be able to graph the range on a three dimensional, x, y, z coordinate system.

If time is one of our domain variables in a 3 dimensional function, f(x,y,t) then we can graph the range on a coordinate system with an x-axis, y-axis, and Range-axis. the time time domain would not be given by a spacial interval but a temporal interval. so the graph would begin building itself at time t=0 and the range would be swept out as its shadow hovers over the x,y domain.

to remove the air bubble, which are made error in volume.

S.Kailash

No! According to AAR definitions, traction horsepower (THP) is the diesel engine INPUT to the main generator available for traction purposes only (generator, electric motors and gear losses are not taken into consideration). So THP is the gross diesel engine HP less the auxiliary load HP (typically 5% of the diesel engine brake HP, for fan driving and other auxiliary vital equipment). Wheel rim HP is usually 85%+ of the traction HP (in a modern locomotive). Drawbar HP (DBHP) will be somewhat smaller (especially as speed increases) due to locomotive resistance as a vehicle (+ 0.75xTHP at maximum speed for a powerful freight loco.). For example, in a SD90MAC diesel loco., the GM16V265H diesel engine is capable of 6300 BHP, but the locomotive is rated at 6000 THP. The drawbar HP can top 5300 DBHP at low speed.

Probably is a decimal....not suree...ohhh welll.. lol

The question is self-contradictory.

we use this because it is easier and it shows you what to do for example 2/4 is eqivalent to 1/2. 2 divided into 2 is one and 4 divided into 2 is 2 so it is 1/2.

how can yu make algebra equations easy for a twelve year old

A square