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Using the formula for the sum of an arithmetic series, what is the sum of the first 20 term?
The classic problem - put a penny on first square of a checkerboard, and then double the amount on each succeeding square.
Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function.
Graph 3x+2y=6. Where do the points cross and how is the pair figured out? Solve the linear inequality by graphing.
How many quarts of 60% alcohol solution must be added to 20 gallons of 20% alcohol solution to obtain a mixture that is 30% alcohol?
Theo wants to put a dinosaur border around the perimeter of his room. How many rolls of border must he buy if each one covers 10 ft?
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.