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2wot is ( X4 ) b) Prove that tan-1 x < x for all x > 0 (Using mean value theorem on {o,x} for tan-1x) a positive number when divided by 35 gives a remainder 3. what will be the remainder when this number is divided by 7? b) Find the area of the region included between the circle: x2 + y2 + 2 x + 10y + 27 = 0 and the parabola y2 + 10y – x + 23 = 0 (part a) Factorise m(squared) - 9n(squared)+3-21 2 3 4 5 6 7 8 91,4,4,6,9,8,1610 percent of 30 plus 30 percent of 50 =?10% of 1100 2 decorators, 8 days two paint a house2 numbers are first added together and then multiplied together. The numbers added together = 18 and the numbers multiplied together = 45. What are the 2 numbers?2 power 56 when divided by 17 leaves a remainder of?2,3,1,12,13,12,...?2x+10=-34-9x what is x31-(8+4)=3D Regularity3x+2y-z=-1 x+y+z=6 3x+y+2z=154% of 304% of 7342/(-6)*2+3=?48 out of 6050 digit number divisible by 2 power 50?6 points lie on a circle. How many different triangles can be formed having 3 of these 6 points as vertices?7 courses = 100% , if 9 courses = ??%8. A man engaged a servant on a condition that he’ll pay Rs 90 and also give him a bag at the end of the yr. He served for 9 months and was given a turban and Rs 65. So the price of turban is8p - 1 = 23A 12 litre solution contains 100/3% acid.how much water is to be added to reduce acid to 20%?A 500 m long train runs at a speed of 36kmph. In what time will it cross an electric pole?A bag contains 15 marbles, some red, some green, and some blue. Three Fifths (3/5) of the marbles are red. The number of blue and green marbles are the same. What is the probability of removing a green marble followed by a red marble without replacing A book was discontinued in price by 45% and sold for $12.50. what was the marked price?A bus travels at a speed of 80km/h. How far does it travel in 45 minutes?A car was sold for £2,975 after a 7% reduction in price. what is the original value?A common school questionA dice is thrown 80 times. it lands on a six 12 times. What is the probability of throwing a six?A drawer contains 50 bolts and 150 nuts.half of bolts and half of nuts are rusted.if one is chosen at random,what is the probability of that is rusted or bolt.A man sold an article for Rs.6270 and lost 1/20 of cost price. find the cost price?A piece of wire 80cm long is cut into 2 parts. Each part is bent to form a square. If the total area of the two squares is 272cm2, find the length of longer wire.A pond has 10 stones arranged equally spaced in a circle. A frog stands on a start stone and jumps onto every 2nd stone (missing 1 stone)'how many circuits are made before returning to the start stone? how many circuits are made if the frog jumps onto A pully driving a belt has a diameter of 300mm and is turning at 2700/ pie revolutions per minA roof rafter is needed to span a legth of 15m for a roof rise of 8m.a carpenter cuts a rafter of 18m.find the distance of the rafter span?A salary is increased by 3% to £39552A solid rectangular block of copper 5cm by 4cm by 2cm is drawn out to make a cylindrical wire of diameter 2mm. Calculate the length of wire A solution of the equation A two digit sequenceA village population is 63 500.some 41% of population are men,39% are women and the rest are children.calculate,correct to 3 significant figures the number of a)men a)women c)childrenA what divides a circle into two halfsAbandon rateAbout boat and streamAcooldude63: A man spends 75% of his income, when his income is increased by 20%, he increases his expenditure by 10%. By how much per cent are his savings increasedAhhh volumeAlgebraAlgebra question & answer Ambiguous case, find CAAn alloy is to contain copper and zinc in the ratio 9:5. How much zinc is required to be melted with 24 kg of copper?An artist makes frame for painting by joining 2cm,15cm,18cm.gind the veiwing area?An author started writing a bookin the afternoon between 2pm to 3pm he wrote for 4 hours and finished writing between 6pm to 7pm . after finishing he found that the position of the hands of the clock interchanged.at what time exactly did he start and finiAreaArea of a rectangle !Arithametic regressionAssinment - MathsAssociative propertyAverageAverage speeds Binomial questionBrad goes to a shop that sells five flavours of ice-cream. Each flavour comes in a separate tub. He decides to buy two tubs, each on containing a different flavour. How many choices are possible? Calculate the actual length of the kitchen (in metres) if the scale is 1:50 Kitchen 108mmCalculate the length of a ladder?Calculate the surface areaCalculate the surface area of a room.Calculate volumeCalculating contribution of increase/decreasing in %profitCan anyone give me a perimeter/area questions involving polygons that are hard to answer? (has to be able to be answered by middle school children or starters)The question has to be though and complete with working and answerCan anyone round this number to 1 decimal place?15.36 thanksCan anyone round this number to 2 decimal places?22.338 thanksCan anyone round this number to 2 decimal places?thank uCan you explain Standard Deviation please.Circline form of a circleColoured socksCombinations HomeworkComplete the patternComplete the sequenceComplete the sequenceComplete the sequence 1,2,5,10,20Complex number?Consecutive numbersConsecutive numbersConversionCoordinate geometryCos90+sin45=?Cost of the box as a function of width x of the boxCould you please explain the sequence of the following numbers, 3, 2, 7, 8, 11 and 14. Cube and CuboidCubs Currency CalculationCurrency convertions???DecimalsDecimalsDifficulty with fractionsDivide 60 in 15 parts such that each part is a odd numberAsk a new question in this category