What is the shortcut to solve the following problem: 1+2+3+4+5+6+7+8+9+10+11+12+...+49=?
There are many answers that look at it in terms of series of natural numbers, let us look at a way to solve it without any specific formula.Let us consider another number in the series and make it Sum =1+2+3+.....+49+50 Thus we have a total of 50 numbers,i.e 25 pairs of numbers . In the series we can see that : 1+50=51 2+49=513+48=51...25+26=51Therefore the total sum = 51 * 25 ( Since there are 25 such pairs) Sum =1275 But we had included an extra term 50 , thus subtracting 50 from the obtained sum we get ,1+2+3+4+5+.....+48+49 = 1275-50 =1225
Work the problem using the three-step method.The sum of two consecutive integers is 21. Find the integers.?
x is the smallest integer. x+(x+1)=21 2x+1=21 2x=20 x=10 So the integers are 10 and 11.
Work the problem using the three-step method.Aunt Mary is 6 times as old as Jane. If Aunt Mary is 72 years old?
Well I'm not familiar with the three step method but I can answers your question So if you multiply you get a bigger number so if you do the opposite you'll get a smaller number and the opposite is dividing so you divide 72 by 6 because aunt mary is 6 times as old as Jane sooo your answers is 12
Stoichiometry. use the three step method to solve the following problems based on the equation shown..........?
a) 1) Calculate the mass of one mole of N2H4-- it's just two times the atomic mass of nitrogen plus 4 times the atomic mass of hydrogen. 2) Divide 1200 kg by this mass to get the amount of moles you have. 3) Multiply by 3/2 to get the amount of moles of N204 b) 1) Divide the amount of moles of N2H4 by 2 to get the amount of moles of the second reactant 2) Calculate the mass of one mole of the compound as in a1). 3) Multiply by the amount of moles you need to get the total mass. c) 1) Multiply amount of moles of N2H4 by 3 to get the number of moles of N2 2) Multiply by Avogadro's Number to get the amount of molecules. d) 1) You never said how many water molecules were produced but it looks like 4. Figure out how many moles, then how many grams, then how many liters.
Please solve these problems step-by-step without using a calculator. i want to learn how to work it out?
1. 15 7/18 - 3/9 (15*18 + 7)/18 - 3/9 277/18 - 6/18 271/18 alternate method: 15 + 7/18 - 3/9 15 + 7/18 - 6/18 15 + 1/18 271/18 2. 25 1/7 - 12 5/7 (25*7 + 1)/7 - (12*7 + 5)/7 176/7 - 89/7 87/7 alternative method: (25-12) + 1/7 - 5/7 13 - 4/7 87/7 3. 30 1/2 - 13 3/4 30 + 1/2 - 13 - 3/4 17 + 2/4 - 3/4 17 - 1/4 67/4
What are the three steps of data processing?
Three steps of data processing . I do not think there are some fixed steps in data processing . To begin with let us understand the data is remains data until it becomes meaningful and useful no matter how many steps of processing it may have under gone .Typically , the so called raw data might have to be processed to make it suitable for further processing . The processed data may later on become a raw data for some other process . Hence , generalization of the data into three steps is fallacy.But,let’s understand the steps in following mannerStep 1 : Preprocessing : This may consist to many steps including removal of noisy values , treatment of missing values and reduction of dimensions to make it workable for some algorithm . other than this the data may be labelled or grouped using some clustering method or may be done using manual approach .Step 2: Processing : It is time actually the data is subjected to the some statistical test /equation or some algorithm .Step 3: Post Processing : The outcome of some of the algorithms are sometimes are readable , comprehensible or it may be such that interpretations cannot be directly be drawn . In such cases it may require Post processing .Step 4: Recycle .:It may happen the same data is not subjected to new process, method , algorithm , statistical test to gain some new insight and process goes on using the post processed data.
How do I complete the engineering drawings?
Well, this is something I would like to answer.There is no shortcut for hard-work, but there is always a way to work smartly.First of all study the previous university question papers and find out the portions that have been repeated maximum number of time. Make a list of such questions or types.Secondly filter the topics that are not difficult and doesn’t consume much time (as ED is a subject of time)Start practicing these topics first and master them, as ED is all about practice.*Hacks for ED ExamDon’t waste time rubbing things you find are not correct. Let it be there, attempt it fresh as you may end up wasting time rubbing that drawing and after you start it again, its already messed up. So start fresh, in case your are not able to finish, you may have chances to get some marks for the old one .Good Luck