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A furniture factory needs 32.5 ft2 of fabric to upholster on a chair. Its Dutch supplier sends the fabric in bolts of exactly 200 m2. What is the maximum number of chairs that can be upholstered by 3 bolts of fabric (1 m = 3.281 ft)?
Find the equation of a line through (2,3,7) parallel to the line of intersection of the planes 2x + y + z = 0 and x-y +7z = 0.
6. 23% of the seniors at a high school failed pre-calculus. If 1138 students failed pre-calculus, how many seniors are at this high school?
FInd the midpoint of the segment with the end points
farmer wants to fence an area of 13.5 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. What should the lengths of the sides of the rectangular field be so as to minim..
Find the equation of parabola from the given data - Determine the equation of a parabola with vertex
a laboratory designed a radio telescope with 280 feet and maximum depth of 42 feet. The graph depicts a cross section of this telescope. Fine the equation of the parabola.
Decompose 6i-3j-6k into vectors parallel and perpendicular to following vectors.
A voltage V across a resistance R generates a current I=V*R. If a constant voltage of 14 volts is put across a resistance that is increasing at a rate of 0.7 ohms per second when the resistance is 3 ohms, at what rate is the current changing?
By imitating the Dirichlet constructions in Section 4.1 of Abbot, understanding Analysis, how construct a function on R that is differentiable at a single point?
graph the region of feasible solutions and locate the corner points.
karens financial aid stipulates that her tuition not exceed $1000. If her local community college charges $35 registeration fee plus $375 per course, what is the greatest number of courses for which Karen can register?
A telephone pole 35ft. tall has a guy wire attached to it 5 ft. from the top and tied to a ring on the ground 15 feet from the base of the pole.
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