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If the sum of four times the first number and twelve equals three times the second number, then what are the two numbers?
Find the set of all possible third numbers given that twice the sum of the first two numbers is greater than the third number.
A computer is infected with the Sasser virus. Assume that it infects 20 other computers within 5 minutes; and that these PCs and servers each infect.
The stabilization ratio (births/deaths) for South and Central America can be modeled by the formula y = -0.0012x^2 + 0.074x + 2.69
Anne is pulling on a 60 foot rope attached to the top of a 48 foot tree while Walter is cutting the tree at its base. How far from the base of the tree is Anne
At a university, 1/4 of the undergraduate students commute, and 1/3 of the graduate students commute.
Given a line containing the points (1,4), (2,7), and (3,10) determine the slope-intercept form of the equation, and graph the function.
Use a recursive tree to give an asymptotically tight solution to the recurrence T(n) = T(n-a) + T(a) + cn, where n > = 1 and c > 0 are constants.
Draw line1 through (-4, 0) & (0,6). What is the slope of any line parallel to line1? Draw line 2 through the origin and parallel to line 1.
Find all real or imaginary solutions to the equation. Provide complete and step by step solution for the question.
The line through the origin that is perpendicular to the line through (-3, 0) and (0, -3)
Suppose that rabbits live forever and that every month each pair produces a new pair which becomes productive at age 2 months.
Let G be a nonabelian group and Z(G) be its center. Show that the factor group G/Z(G) is not a cyclic group.
Tell whether or not the recurrence relation below is a linear homogeneous recurrence relation with constant coefficients.
A 30 feet ladder is used by fire fighters is a safe only when it leans against a building at an angle of 60 degrees or less to the ground.
Let {x_n} be a sequence of positive numbers and suppose that he sequence {x_n+1/x_n} converges to L.
Line 1 passes through the points (-5, 4) and (3, -7). Line 2 is parallel to line 1 and passes through the origin. Find the equation of line 2.
Determine whether each relation is a function. Determine the domain and range of each relation.
V = s3. Find the length of a side of a cube if the Volume is 729 cm3.
Let b = r_0, r_1, r_2, ... be the successive remainders in the Euclidean Algorithm applied to a and b.
If the plane flies 7 miles with the wind in the same amount of time as it flies 5 miles against the wind, then what is the wind speed?
Calculate the amount of wheat necessary to fill the whole checkerboard (64 squares). How much wheat would the farmer need to give the salesman?
A governor would like to find out how people in his state feel about state subsidized public art. How might a cluster sample be selected?
The height (h) (in feet) of an object that is dropped from the height of (s) feet is given the formula h=s-16t^2, where (t) is the time the object.
The formula for profit (P) is cost (C) minus overheard (O). Write an equation for profit and then translate it to solve for cost.