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A garden shop wishes to prepare a supply of special fertilizer at a minimal cost by mixing two fertilizers, A and B. The mixture is to contain at least 45 units of phosphate at least 36 units of nitrate and at least 40 units of ammonium. Fertilizer A and B costs the shop $.97 per pound, $1.89 per pound respectively. Fertilizer A contains 5 units of phosphate, 2 units of nitrate and 2 units of ammonium. Fertilizer B contains 3 units of phosphate, 3 units of nitrate and 5 units of ammonium. How many pounds of each fertilizer should the shop use in order to minimize their cost?
A spherical balloon is inflated with a gas at the rate of 500 cm3/min. How fast is the radius of the balloon increasing at the instant the radius is 30 cm?
Find the diameter of the largest circular pond that could fit in a triangular garden with vertices at (18,54), (-27,36), and (27,-18), where a unit reprsents 1m.
The school cafeteria has found that they go through 9 sandwiches for every 6 tickets they sell to the students. Today they have 324 tickets for sale. How many sandwiches do they need to make?
An office manager has four employees and nine reports to be done. In how many ways can the reports be assigned to the employees so that each employee has at least one report to do.
Find the area of the region bounded by 2 curves.
A church steeple casts a shadow 115 ft long, at the same time a 9.0 ft post casts a shadow 7.0 ft long. How high is the steeple?
Determine the normalized eigenfunction for this problem; Use the results in part (a) to express f(x)=x in an eigenfunction expansion, i.e. determine the expansion coefficients (Cn).
In a school of 420 students, 147 students are in the band, 245 students are on sports teams, and 63 participate in both activities. How many students do not participate in band or sports?
Find the solution of the initial value problem
The local weather station (which we'll assume is accurate in giving forecasts) predicts that the chance of rain is 25 percent for the day of the concert. What is Jeff's expected earnings from the concert?
Describe the transformation,function of g(x)=-sqrtx, h(x)=sqrtx+3,i(x)=sqrtx-1+2,j(x)=sqrtx+3
Stating the null & alternate hypotheses
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