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let a b c 2 za prove that if ab then acbc for all cb if abc can you conclude that either ab or ac justify your answer with a proof or a counter
1 sketch the spiral of archimedes r atheta agt0 2 sketch the hyperbolic spiral rtheta a agt0 3 sketch the equiangular spiral raetheta agt0
write a script to determine the volume of a pyramid which is 13 base height where the base is length width on time the user to enter values
a pythagorean triple is a set of positive integers abc like a2 b2 c2 write a function ispythag that will receive 3 positive integers a
make a file called testtandat which has 2 lines with 3 real numbers on every line some negative some positive in the range from-1 to 3 the file
a house painter uses the formula c 11050 3950h where c is the total cost and h is the number of hours he works to determine how much he charges his
take the carburizing of a steel bar to make a hard surface to obtain the desired hardness we require to control the diffusion of carbon into the
an advertising project manager developed the network diagram shown below for a new advertising campagign in addition the manager gathered the
1a manufacturing facility consists of five departments 1 2 3 4 and 5 it produces four components having the manufacturing product routings and
devise data that link a certain relationship of your choosing between two variables write a rationale stating why you chose this particular data and
the mathematics results of 20 first-year university students are given together with their results of their performances in the year 12 semester test
establish appropriate algebraic models for each of the following sets of data you can use technology to assist plot them on grids and demonstrate how
josephine is constructing an open box by cutting the squares off the corners of a sheet of paper sized 20cm by 16cm she is considering options of 3cm
in the national hockey championship there are 30 independent ice hockey teams every of the teams will play 82 official nhl games every year many
a complete the inventory record below for an foq of 100 unitsb talk about weaknesses of mrp list at least 3 and describe each in a sentence or
a company is setting up an assembly line to produce 100 unitshour the table shown below identifies the work elements times and immediate
a company makes 2 products product a and product b the product characteristics are shown in the following tableproduct a b price unit 8001000cost
the time t required to test a computer memory unit is directly proportional to the square of the number n of memory cells in the unit for a
a the distance d that can be seen from horizon to horizon from an airplane varies directly as the square root of the altitude h of the airplane if d
two boys a and b are at two diametrically opposite points on a circle at one instant the two start running on the circle a anticlockwise with
a jeweler has bars of 18-carat gold and 12-carat gold how much of every melted together to obtain a bar of 16-carat gold weighing 120 gm it is given
the students of a class are made to stand in complete rows if one student is more in each row there would be 2 rows less and if one student is less
5 years however a mans age will be 3times his sons age and 5 years ago he was 7 times as old as his son find their present
a two-digit number is seven times the sum of its digits the number formed by reversing the digits is 18 less than the original number find
a motor boat takes six hours to cover 100 km downstream and 30 km upstream if the motor boat goes 75 km downstream and returns back to its