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How many gallons of a 4% acid solution should be mixed with 20 gallons of a 10% acid solution to obtain a mixture that is 5% acid?
Jose has savings accounts for each of his five children. They contain $215, $156, $318, $75 and $25. Find the median and the mean amount of money per account.
Starting your own business can be exciting and daunting at the same time. Businesses use math when managing finances, determining production levels.
Solve system by the substitution method.Solve each system by the addition method. If there is no solution or an infinite number of solutions, so state.
Complete Table in order to shown how the total charges under package 1 and under the two scenarios for package 2 compare for different amounts
Media Services charges $40.00 for a phone and $30/ month for its economy plan. The equation c=30t +40 describes the total cost, c, of operating a Media Service.
Eigenvalues and Generalized Eigenvectors of a Matrix.Find the eigenvalues and (generalised) eigenvectors of the matrix
State the domain and range for each of the following functions
How is dividing a polynomial by a binomial similar to or different from the long division you learned in elementary school?
Applications of Linear Equations.The director of a summer day camp estimates that 120 children will join if the camp fee is $250,
For what values or range of values are the following functions undefined
Eigenvectors and Eigenvalues.Assume that ST = TS. Prove that the operators S and T have a common eigenvector.
Find the equation of the tangent plane to the ellipsoid 7x2 + 5y2 + 3z2 = 60 which pass through the line 5y - 3z = 0 = 7x + 10y - 30.
Given three points, there is one line that can be drawn through them if the points are colinear. If the three points are noncolinear,there are three lines
Identify and sketch the graph of the conic described by the quadratic equation x^2 + 4xy + y^2 - 12 = 0. Do this by writing this equation in matrix form;
Acute, Obtuse, Right or Straight Angles.Along a straight shoreline, two lighthouses, A and B, are located 2000 feet apart.
The cables supporting a straight-line suspension bridge are nearly parabolic in shape. Suppose that a suspension bridge is being designed with concrete supports
A force F of magnitude 6 in the direction i - 2j + 2k acts at the point P = (1,-1, 2).
The graph of F consists of a semicircle and two line segments as shown (please see the attachment). Let g be the function given by:
Suppose that f(x) satisfies the functional equation for all x,y in R (the real numbers). Prove that if f(x) is continuous that f(x) = cx where c is a constant.
A machine produces 249 bolts in 21 minutes. At the same rate, how many bolts would be produced in 28 minutes?
Demonstrate the use of graphs to model motion by explaining how such models are created, and how the interpretation of the results depend upon the assumption
What is the slope of a horizontal line? a. impossible to tell from info given b. none of the following
Find the equation of the line tangent Find the equation of the line tangent
Find the slope and Y-intercept of: Find the slope and Y-intercept of: