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To grow a certain vegetable crop, a farmer needs to ensure that there is a sufficient concentration of the macro-nutrients nitrogen, phosphorus and potassium in her soil. To achieve this she will apply two types of fertiliser to her soil, Fertiliser 1 and Fertiliser 2. She needs to have at least 36 units of nitrogen, at least 20 units of phosphorus and no more than 28 units of potassium present in the fertiliser that she applies to her soil. The composition of macro-nutrients in each of the two types of fertilisers is described in the following table.
Fertiliser 1 Fertiliser 2
Nitrogen (units/kg) 9 2
Phosphorus (units/kg) 2 6
Potassium (units/kg) 4 5
Fertiliser 1 costs $20/kg while Fertiliser 2 costs $15/kg. The farmer wants to know how many bags of each type of fertiliser should be used to minimise the cost.
Formulate the problem above as an optimisation problem, don't solve it.
Assume 3 men and 3 women are to be assigned at random to six seats in a row at a movie theater. Determine the probability that they will alternate gender.
Assuming that the other variables affecting blood flow remain the same (that is, it in equation (2) remains the same), use equation (2) to determine the ratio of blood flow in the 5M% laded artery vs. the oPen artery.
In your own words, describe the process of factoring by grouping. Explain how the distributive property is used in this process. Give a detailed example of this process.
assume that lincoln was 6 13 feet tall and his head was frac34 ft. long. knowing that the carved head of lincoln at
32 feet per second squared 2 (the gravitational acceleration at the Earths surface). What is the greatest height that the stone reaches, and when does it reach that height?
For the PCJ, what is the percentage change in return on equity (ROE) after recapitalization (i.e. with debt) under the expansion scenario as compared to the ROE for the normal sales scenario?
Show that the Sierpinski carpet has Lebesgue measure 0. Show that the Sierpinski carpet has Hausdorff dimension log3 8. Show that for s 0 by integrating e-sx sin2xy with respect to x and y.
Functions worksheet. A confused cell with a terrifying genetic mutation divides into two cells exactly one minute after being created. Then, after another minute each of the two new cells will divide, and so on. Find a formula for the number of cel..
Find the formula of the volume of a cylinder using the following variables: V = volume, h = height, r = radius. Find the volume to the nearest tenth of a cylinder with radius 4 cm and height 15.92 cm.
A region is bounded by y=5-x, the x axis and the y axis. Find the volume of the solid generated when the bounded region is revolved about the line x=-2. Also graph the bounded region.
which of the following describes the graphs of 2x+5y=9 and 10x=4y+18?
You have 96m of fencing. The field is to be three times as long as it is wide. Define an appropriate variable and set up an equation to determine the dimensions of the field.
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