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## Charles G.'s Resources

Dalen,   I have a sematic difficultly with your problem. Your question states: If one pound equals two cups of water and you have 225 gallons to displace 5.5 My issue is 5.5 what? Is it pounds? Cubic inches? Cubic Feet? There are no units and it is also somewhat unclear if this...

The midpoint of (6, 10) & (-8, 5) = (x1 + x2)/2, (y1 + y2)/2   x = (6 + -8)/2   ;  (-2/2) ; = -1   y = (10 + 5)/2  ; 7.5   The midpoint of this line is (-1, 7.5)

Elizabeth:   The per unit cost  per ounce is as follows:   A. \$1.20/20 oz  =  \$0.06/oz. B. \$2.00/25 oz  =  \$0.08/oz. B2 \$2.88/36 oz =  \$0.08/oz. B3 \$4.00/50 oz. = \$0.08/oz.   Brand A has a cost of 6 cent per ounce...

(u5p/u4pu2p)5  =    (u5p/u6p2)5 = u25p5/u30p10 =  1/u5p5

4(5y-5) = 6y+10   20y-20 = 6y+10   14y = 30   y = 30/14 = 15/7

A can do a work in 6 days while B can do a work in 8 days.    6A = 1  {6 times A does 1 job}; so A = 1/6 {1/6 of job per day}     8B = 1  {8 times B does 1 job}; so B = 1/8 {1/8 of job per day}   They worked together for 2 days and B...

Write two hundred-thousandth in Scientific Notation   The key here is the -th at the end of thousandth in decimal notation this is 0.200   or ;   2.00 x 10-1

L x W = 144   W = (1/3 L +2)   So: L x (1/3L +2) = 144          1/3L2 + 2L = 144           L2 + 6L = 432           L2 + 6L - 432 = 0    ...

x = t^2 ; y = 4-t^3   The first derivate, or velocity is; dx/dt = 2t ; dy/dt = -3t^2   The second derivate, or acceleration is; d2x/dt = 2 ; d2y/dt = -6t evaluation for t = 1   x = 2(1) = 2     ;    y = -6(1) = -6   so:...

y2 + 18y + 32 = 0   Solve by Completing the Square   y2 + 18y + 32 -32 = -32   y2  + 18y = -32   Middle term is 18 so; 18/2 = 9 finds the end term to complete the square which is 92  or 81.   y2 +...

Some of the questions that I am asked by Pre-Calculus students usually go something like: What is this thing about “Pi” [p]? Why do we have to do measurements in radians, and What are Radians anyway? The answer to these and other questions like them rest in understanding the Unit Circle The Unit Circle is designed to show that there is a changing relationship between the x... read more