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The following eight numbers can be grouped into four pairs such that the higher of each pair divided by the lower is a number of particular mathematical significance (at least to 4 decimal places).
113 323 355 408 577 610 878 987
What are the four pairs?
Students are given three chances to pass a basic skills exam for permission to enroll in Calculus I. Sixty percent of the students pass on the first try; of those who fail on the first try, 54% pass on the second try; and, of those remaining, 48% ..
The probability that Simon completes his homework is 7/8 and the probability that Hannah completes her homework is 3/4. By drawing a tree diagram, find the probability that
The minute hand on a watch is 9 mm long and the hour hand is 5 mm long. How fast is the distance between the tips of the hands changing at one o'clock? (Round your answer to one decimal place.)
Estimate the relative error in the calculated surface area.
A farmer has a rectangular pasture with dimensions x by 2x. If he places posts 15 ft. apart, how will he represent the distance between each post on the shorter side? on the longer side?
an open rectangular box with square ends to hold 6400 cu. cm. is to be built at a cost 75 cents/sq.cm. for the base and 23 cents/sq.cm. for the side. find the most economical dimension.
The aim of the project is to determine, for any fixed grid constants, an appropriate discrete skeletons from multivariate data so that the memory computational effort is minimal.
A rectangular building lot measures 295 ft. by 438 ft. Find the number of acres in the lot. Round to two places after the decimal. Show all steps taken to find the solution.
Find an expression for the block's oscillation frequency f in terms of the frequencies f_1 and f_2 at which it would oscillate if attached to spring 1 or spring 2 alone.
Explain the assignment model and how it facilitates in solving transportation problems. What benefits would be gained from using this model?
There are three consecutive even integers. If twice the first integer added to the third is 268,252, what are all three integers?
At a certain rate of simple interest $1000 will accumulate to $1110 after a certain period of time. Find the accumulated value of $500 at a rate of simple interest three fourths as great over twice as long a period of time.
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