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A garden is rectangular with dimensions 20 m by 25 m . it is surrounded by a walkway. the outside perimeter of the walkway is 114m. The width of the walkway is equal on all four sides of the garden. What is the width of the walkway? use an algebraic solution to the equation.
sketch the parallelogram spanned by and in the xy plane and compute its area.
A dance team knows 17 routines of which 9 are tap, 5 are ballet, and 3 are modern. The program can consist of any five routines. In how many ways can the manager choose which routines to present if there are no restrictions?
If you were to let A be a 6 x 14 matrix where the dimension of the row space is 3 (dim(R(A) = 3), what would the dimension of the null space of matrix A (dim(N(A)) be and what would the dimension of the null space of A^T (dim(N(A^T)) be?
Determine the consumers' surplus if the wholesale market price is set at $12/unit. (Round your answer to two decimal places.)
A New York Times editorial criticized a chart caption that described a dental rinse as one that "reduces plaque on teeth by over 300%." What is wrong with that statement?
World grain demand. Freeport McMoRan projects that in 2010 world grain supply will be 1.8 trillion metric tons and the supply will be only 3/4 of world grain demand.
An experimental test to detect a particular type of cancer indicates the presence of cancer in 90% of individuals known to have this type of cancer, and in 15% of individuals known to be cancer-free (false positive)
Find the LCM of each set of polynomials
size of u.s. states. the total surface area (in square miles) for each of six selected Eastern states is listed here. Which set is more variable?
Given the adjacency relation p = {(1,4), (1,5) (1,6), (6,2), (6,3), (6,5)} on the set N ={1,2,3,4,5,6}, find the corresponding directed graph and adjacency matrix.
Consider the data points (1,7),(2,5),(3,2), and (4,1). Find the straight line that provides the best least-squares fit to these data. the equation of the least-squares line is y=?
Find and simplify the difference quotient for G(X)=1/x^2. HINT: After finding the difference quotient, simplify by using an LCD to combine the fractions.
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