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If Tom Bombadil's house is 16 miles east of Hobbiton and 12 miles south, what is the straight line distance (omit units)?
True or False. In a multinomial experiment, all outcomes of each trial can have several categories. In finding Expected Frequency you multiply what divided by what?
Let R be a commutative ring. Recall that an element x in R is nilpotent if x^n=0 for some positive integer n. Prove that the set of nilpotent elements form an ideal.
Find the constant of variation and write an equation of direct variation -
151 g of water at 79.0°C are mixed with 75.2 g of water at 23.0°C. If no heat is lost to the surroundings, what is the final temperature of the water? The specific heat of water is 4.184 J/g·°C.
It would normally follow on from work on sequences and fractions-Ruth was investigating fraction differences. She wrote down this sequence of fractions:
the resident population of south california (in thousands) was 3860 in 1997 and 4107 in 2002 .let t equal 7 represent 1997. write linear model for the population as afunction of time t.
The circumference of a sphere was measured to be 82 cm with a possible error of 0.5 cm. Use linear approximation to estimate the maximum error in the calculated surface area. Estimate the relative error in the calculated surface area.
A rancher has 1200 ft of fencing to enclose two adjacent rectangular regions of equal areas. express the area A of the two rectangles as a function of the width x.
Regrind, Inc. regrinds used typewriter platens. The cost per platen is $2.40. The fixed cost to run the grinding machine is $92 per day. If the company sells the reground platens for $4.40, how many must be reground daily to break even?
A rocket consists of a right circular cylinder of height 25m surmounted by a cone whose height and diameter are equal and whose radius is the same as that of the cylindrical section.
A person receives $212 per year in simple interest from 3 investments totalling $2500. Part is invested at 7%, part at 8%, and part at 9%. There is $1100 more invested at 9% than 8%. Find the amount invested at each rate.
Suppose triangle DEF lies inside triangle ABC with AB parallel to DE, AC parallel to DF and BC parallel to EF. Show that the lines AD, BE and CF are concurrent.
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