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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?
The John Hancock Center in Chicago has a rectangular base. The length of the base measures 65 feet less than twice the width. The perimeter of this base is 860 feet. What are the dimensions of the base?
the turtle never stopped for a break, but his pace was only 1 km hr. how long will the rabbit run before it catches the turtle?
An apache helicopter of enemy is flying along the path given by y= x2 +7. Find the nearest distance from where a soldier placed at (3,7) can shoot down the helicopter.
A ball drops from a height of 21 feet. Each time it hits the ground, it bounces up 80 percents of the height it fall. Assume it goes on forever, find the total distance it travels.
Determine the number of points in the sample space of the possible arrangements of boys and girls.
Probability of Drawing Two Red and Two Blue Marbles, A bag contains 4 red, 3 white and 5 blue marbles, What is the probability that in a sample of 4 marbles that are drawn
Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. Round to three decimal places.
find the slope of the tangent line to the give polar curve at the point specified by the value of theta
Show that the greedy algorithm for making change for n cents using quarters, dimes, nickels and pennies has O(n) complexity measured in terms of comparisons needed.
The investor uses the proceeds from the sale of the 12% bond to purchase a 8% bond with semiannual coupons, maturing at par at the end of ten years. Find the face value of the 8% bond.
They reported that there was a strong relationship between the diameter of a bird's eye and the time it started singing in the morning: birds with larger eyes tended to start singing earlier. Is this anecdotal evidence, an experiment or an observa..
A standard two by four actually measures 1 ½ in by 3 ½ in. The rough board is 2 inches by 4 inches, but is planed and dried to the finished to the finished size. What percent of the wood is removed in planning and drying?
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