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## Bill F.'s Resources

Hi Jen... looks to be like this already is in polar (nor rectangular coordinate) form; just need to rearrange to solve for r:   r * Sec(θ) = -5;  r = -5/Sec(θ) = -5 / (1/Cos(θ)) = -5Cos(θ)

Part a:  3 + 2x = 11; 2x = 8;  x = 4 Part b:  ln(e)3 + 2 log(x) = 11;  ln(e)3 = 3*ln(e) = 3*1 = 3;  3 + 2 log(x) = 11;   2 log(x) = 8; log(x) = 4;  therefore x = 104 = 10,000

Let me make sure I understand:  n = inmates in millions (1.0 = 1 million), and the formula is n = 0.03x - 58.79 You named x = 2002, so n = (0.03)(2002) - 58.79;  60.06 - 58.79 = 1.27.  Rounded to 1 decimal place, that = 1.3 million. If we set 1.3 = (0.03)(x) - 58.79, then...

Still not sure I understand, looks too simple.  I'm sure you already know 1/2 of 6 (one half of 6) = 3. (1/2)*6 = 6/2 = 3

I'd ask the desk clerk or other hotel help :-) If no help was available and/or I had the time and energy, I'd first try 6th floor, room 10 However, if it was in the game Hotel Decimalfornia, I'd guess floor 7, 1st room (same as 7.0), unless, of course, it is in Hotel Real, an infinite...

Kevin's definitions and solution are good.  Another way to look at this:  what are the numbers that would make the shortest list of numbers, and satisfy this situation (mean & median=10, mode=8)? If we want to ensure the mode = 8, then we must use 8 the most often:  let's...

2m2(m+4) + 5(m+4)  - original expression Hi Summer... I'm not sure what you need as an end result, but here are two possibilities: 2m3 + 8m2 + 5m + 20     - do the multiplications (m+4) (2m2 + 5)     - pull out the common term,...

33 times 3:  input 33, then X, then 3, press enter.

In general, it just means "measurement".  Most often used in geometric measurements of length/size, area, and volume, especially in 3-D (conic, spacial, volume) applications.

Hi Kelli.... we do it just like with other fractions.  For example:  1/5 is "fifths", and we divide 1 by 5 = 0.20 "tenths" is 1/10 = 0.01.   So 1120ths is just a big denominator:  1/1120, = 0.000893

Ok, Courtney, it's not hard:   We know that 2 r = 1 d (diameter is twice the radius), right?  And you may remember, or can easily find, that pi (∏) = approximately 3.14 1.  We have C = 2∏r, or ∏d.   Now let's just substitute what we know:  2*∏*r = 2*3.14*6...

Short answer: carefully!  Just use what you know to "prove" any statement you write. The whole idea of using the two columns is to help you think of each step to use when "proving" why something is true (or not). As a simple example: if we draw two intersecting lines,...

A "square" is just the same number multiplied by itself, like x2  If x= 2, then x2=4 So the first ten are... 1x1 = 1 2x2 = 4 3x3 = 9...  etc.  I'm sure you can finish the list, Melissa!

Assuming the only difference between your gross and net amounts is the tax, then in general: Net is what you have after you subtract tax, or net = gross - tax.  The tax amount = gross * tax rate, or (gross*0.28) Net = Gross - (Gross * tax rate).  For your example, express the 28%...

Looks like a 2-stage simple multiplication.  Let's ignore the 104's for now to make it easier: We have 140 total lbs X ml for each pound:  140 X 2.7 = 378 ml (X 104) in this dude (or dudette). And 378 ml X # white cells = 378 X 7 = 2,646 total white blood cells/140 pounds,...

Hi Kaitlin, First we need to make the problem clear. A good way is to use parentheses ( ) to group terms. So is your problem:  (2 1/2)(x) - (2 1/4) = (3 2/5) ? Assuming that is what you mean, get all the terms that do NOT have x all together on one side of the =, and leave only the term...

Ok, so knowing where to start is the main point:  Do parentheses and exponents first - let's take the top half (numerator): Let's re-write the top (numerator) 3a(b-4) as (3a)(b-4)(b-4)  - this simply shows that (b-4)2 = (b-4)(b-4), just like (2)(2) = 22 The bottom (denominator)...

Like many words, "organic" has different definitions, including what some health-food advocates call "organic" which tends to mean grown naturally, without using anti-pest chemicals or chemical fertilizers, but there's not a clear universal legal definition of this.  More...

Short answer:  sugar!  Tree leaves store sugar as tree food, which sap carries to roots, etc.  When photosynthesis slows with cold temps, sugar gets trapped in leaves, and appears as red/pink/yellow/orange, etc.  Some trees have much less sugar and more waste products...

Sometimes things are not exactly as they appear to be...  You may have heard that, or something similar, before.  One of the purposes in "proving" congruence is to learn the burden or amount of proof required to absolutely know that something is true or not.  Two...