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## Answers by Tim E.

2/3 lbs  divided among 12 people   so,  (2/3) / 12       this can be written as  2/3 * 1/12  = 2/36   factor num and denom by 2     each person would get  1/18 lb

Set up as an inequality so the pay is at least as much as \$90,000   43,800 + 2950*T  >=  90,000         Now just solve for T.  first subt 43,800 from each side   2,950*T  >=  90,000 - 43,800  ...

7B - 12 < 3B   With any equation, isolate the variable (in this case B) on one side, and the constant on the other remember, always add, subtract, divide, multiple the same to both sides !!   1)  subtract 3B from each side   7B - 3B - 12 < 0...

If you are using the exponential function, Exponential decay is often expressed as:   e^-kT  where k is found by taking the natural logarithm   T = time   so using this, the decay rate would be:    e^-kT  =  (1-0.22)  =...

for line 2 to be perpendicular to line 1,  line 2 slope is the negative reciprocal of line 1. so, we need to find the slope of line 1.  for the equation, 5X -  4Y = 2 the slope(m) = -A/B. Here A=5, B= -4. So the slope(m) = -5/-4  or  5/4 A line is perpendicular...

for a line to be parallel, the slope must be the same.    for the equation,  2X + 7Y = 9    the slope(m) = -A/B. Here A=2, B=7.  So the slope(m) = -2/7   In slope intercept form  Y = mX + b   (b = Y intercept)   we need...

VOLUME = 4,000    box's material consists of the bottom and the sides only (no top) if we let the bottom square of each side = X, and the height = H we have 1 bottom (X2) area, and 4 sides of  dimen = XH    so the material (M) we want to minimize...

4 (x^2-3x+1/2) (answer)

to Solve, we mean solving for the zeroes, or roots, which means setting the equation = 0   So,  4(X2 - 3X + 1/2) = 0      (We can divide both sides by 4 and the result is:   X2 - 3X + 1/2 = 0          we could use the...

LET  X and Y equal the amounts of brand X and Y   X = kg of brand X Y = kg of brand Y    we know: 1)   X    +    Y   =   21    (kg)   2)   1X  +   4Y  =   2(X +...

The half life formula is:   eKT = 0.5   which we use to solve first for the decay constant K   where T = half life time    For this problem, T = 432.2 YEARS, SO:   eK*432.2 = 0.5       Now take the natural log of each side   K*432...

first, let me assume your equations are: LOG(√(1+SINX) and LOG(√(1-SINX) and that the LOG is the Logarithm with base 10 ?? or natural Logarithm LN ?? I'll answer both ways. 1) F(X) = LOG10(√(1+SINX) THEN F(X) = LOG10(1+SINX)1/2 and using rules of logarithms F(X)...

first, let me assume your equations are: LOG(√(1+SINX) and LOG(√(1-SINX) and that the LOG is the Logarithm with base 10 ?? or natural Logarithm LN ?? I'll answer both ways. 1) F(X) = LOG10(√(1+SINX) THEN F(X) = LOG10(1+SINX)1/2 and using rules of logarithms F(X)...

first, let me assume your equations are:  LOG(√(1+SINX)  and  LOG(√(1-SINX)  and that the LOG is the Logarithm with base 10 ??  or natural Logarithm LN ??    I'll answer both ways.   1) F(X) = LOG10(√(1+SINX)   THEN  F(X)...

Physics Help? (answer)

this looks like an old post but I'll put in my 2 cents worth.    ** note ** Without further detail, I will assume friction force of 0.58 is in Newtons, and we are talking about accelerating the box uphill or up the ramp, not down.    Really need a diagram...

Evaluate the product:   (6.4*10^-3)(8.2*10^5)]/(2.1*10^-2)   We first multiply all the leading factors of 6.4, 8.2, 2.1 together,  6.4 x 8.2 x 2.1 = 110.208   Next we can multiply all the powers of ten, by adding exponents 10-3 x 105 x 10-2  =  10...

Conservation of momentum states :   MA*VAi + MB*VBi  = MA*VAf + MB*VBf      Note the sums are the same but velocities before and after are different   MA = 5  kg          MASS A VAi = 20 m/s      VEL...

Perimeter of a rectangle is 2W + 2L    however one side of the house, which could be either a Width or Length.    (are you sure they don't tell you which, or give a length of the house side ??   so the expressions would be either 1)  2W...

We know that zeroes are just the values of X that make that factor = 0 example:  (X + a) = 0  so X = -a   so, for zeroes = 3,2,0 we just form the following factors:   (X-3)(X-2)(X-0)  =  X(X-3)(X-2)    ! Now just expand   X...

5 miles at 9min per mile = 45 min total   her current time is: at 9:10 for 4 miles = 36:40    (= 9x4 min + 4 x 10 sec)    for her final mile, we just difference her target of 45 min with her current 36:40 so difference  45:00 -...

if the weights given consist of the cans of paint and the crate, then we can set up 2 equations.   X = total weight of paint cans (crate is full) C = weight of Crate   #1)     (3/4) X + C  = 240 lbs #2)   (3/10) X + C = 102 lbs   subtract...

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