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If N is any positive integer, how many consecutive integers following N are needed to insure that at least one of the integers is divisible byanother positive integer m?
A) m - 1
B) m
C) m + 1
D) 2m
E) m2
a number has 3 digits. it is an even square number less than 500.the product of its digits is evenly divisible by 15. what is the number?
Calculate the value of population mean.
a spherical wood bead is formed by taking a sphere of radius 5 mm and drilling out a cylindrical hole. The hole has a radius of 2 mm. What is the volume of the resulting bead? (Use Volume by slicing methord to solve this problem in Calculus.)
A uniform boom AC, 4m long and weighing 50 N is smoothly hinged at C and is supported at A by a rope AB. Find the tension in the rope and the size and direction of the reaction at C.
A child lies on the ground and looks up at the top of a 17-ft tree nearby. the child is 14 ft away from the tree. what is the angle of elevation from the child to the top of the tree?
A car rental agency rents 210 cars per day at a rate of 31 dollars per day. For each 1 dollar increase in the daily rate, 5 fewer cars are rented. At what rate should the cars be rented to produce the maximum income, and what is the maximum income..
altitude of mountain climber 4572 meters. altitude of submarine commander -609 meters. What is the difference in these altitudes?
a triangular lot has dimensions 20.6 m, 31.4 m and 38.3 m. Find the angles at the corners of the property.
Find the interest rate needed for an investment of $5800 to double in 7 yr if interest is compounded continuously. (Round your answer to two decimal places.)
Ahmad drove 385 miles using 14 gallons of gas. At this rate, how many gallons of gas would he need to drive 319 miles?
Find the number of decibels for the power of the sound. Round to the nearest decibel.
the length of a photograph is 3 cm less than twice the width. the area is 77 cm^2. find the dimesions of the photograph.
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