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Jim S.'s Resources

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Donielle,                This one uses the same basic idea as the last one.               Let p=number of packs of plain paper purchased                  b=number...

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Hi Shandon,            You were given that PV=k so if we have two conditions i.e. p1=14.7 psi, v1=71.2ft3 and p2=2250 psi and v2=? Using p1v1=p2v2 and solving for v2 gives v2=(p1/p2)v1. All you have to do is plug in the numerical values.   Hope...

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Hi Christine,             As you know momentum ( mass*velocity) is conserved that means that the initial momentum of a system of particles will be equal to the final momentum after some interaction has taken place.            ...

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Hi Jade,          If you convert the information given into equations we have S1= Length of the side of square one S2 same for square two, then S12 +S22=41 (combined area is 41m2) and  4S1+4S2=36 (the sum of the perimeters is 36m)   This...

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Kari,         The objective function (score) is S=7a+12b The constraint equations are: a+b>=8 10a+8b<=80 a>0 b>0   With a simple system like this if you plot the constraint equations a vs b they define a triangular...

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tan(θ) = opp/adj =8/15 so the hyp =17 so cos(θ)=15/17   using the identity sin2(θ/2)=1/2(1-cos(θ))=1/2(1-15/17)=1/17 so   sin(θ/2)=+-√1/17 and since θ in in the third quadrant  choose the (-) sign   Jim 

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complex zeros? (answer)

Hi Kari,      I always try a few small numbers to see if one of them is a root. In this case x=4 is a root i.e. 64-64+100-100=0 so you can divide the cubic polynomial by x-4 when you do that you get x2+25 so the polynomial can be written as   (x-4)(x2+25)=0...

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Hi Dalia,           We want to have m=ρmπr2L where r=radius of the wire diameter =2r, L=the length of the wire. This provides one equation which says we use all the mass to make the wire. The second equation is R= ρL/A where A is the area of the wire i.e. A=πr2...

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Hi Gina,             If you are considering only real numbers the above equation has one real root and is therefor only "true" for x approx equal to 3.5386.... so I would say none of the choices apply. I'm not even sure what choice D means?  ...

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