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## Jim S.'s Resources

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

Donielle,              If we let: c= number of children                            a= number of adults then the following relations must be true          ...

You are on the right track for one month 180*x=45 so x=45/180 or .25/month which is .25*12=3.0/yr or expressed as an annual percentage rate is 300%/yr   Jim

Hi Aleyna,                   If you plot the coordinates on a makeshift grid you will see the triangle. All you have to do is construct the equations for the lines that represent the sides of the triangle. For example the simplest one is the line...

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...

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.            ...

Hi Bethanye,              The answer is no it will be less here's why let say the original amount is A then a p% increase will be A(1+p/100)) Now from this amount we decrease it by p% this gives A(1+p/100)(1-p/100). We can simplify this expression...

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...

Hi Angle          f(x) =  ∫t7dt from 0 to x= (1/8)x8  so f'(x)= x7 and f'(7)=77=823,543   Hope this helps let me know if you have questions   Jim

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...

Alissa,           If you use excel you want the z value that corresponds to a p of .006 (=NORMSINV(0.006))which for a one side tail is -2.512144328. You can also get the answer from a z table in any statistics book.   Jim

Kathy,            Recall that the slope-intercept form of a straight line is y=mx+b, where m is the slope and b is the y intercept i.e. when x=0.            If you solve the equation 4x+y=-4 for y we have y=-4x-4 now compare...

Maja,           If we assume that the object is a particle on earth then the total energy E=KE + PE the KE=1/2mv2 and PE =mgz so if the object speeds up and z remains constant then the total energy will increase.   Hope this helps Jim

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

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...

Hi Tayler,             I plotted the points in excel as an x-y scatter plot to se if there was a pattern that would suggest what equation might fit however nothing resulted. Are you sure the points are correct?             I did...

Dale,         The simplest way to solve this is to write an equation for each person's position as a function of time Pn(t)=3t Pe(t)=4t     the subscripts n and e refer to north and east. Since the people are traveling in directions that are at right...

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...

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?  ...

Hi Yaryn,                When it says 20% off it means subtract 20% of the original price from the original price. Original price \$95 20% of 95=.2*95 or \$19 so we want to subtract \$19 form the original price. \$95-\$19=\$76 so we save \$19 if we...