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Well if we use the trigonometric functions   sin X = opposite / hypotenuse cos X = adjacent / hypotenuse tan X = opposite/ adjacent csc X = hypotenuse / opposite sec X = hypotenuse/adjacent ctn X = adjacent/opposite   We know that the hypotenuse = sqrt(adjacent2 +...

We know from the first statement that 2/3 cup oat meal ⇒10 granola bars   now we know we have 20 cups of oatmeal how many granola bars can be made.    If you think of this as two equivalent ratios we can set up the following equation   2/3 cup...

if you remember that if you were going to change base of a log   logb(x) = logd(x) / logd(b)   if we used this principle with your eqn   log2x + logx2 = 2.5   we could get the eqn into on base   ln(x)/ln(2) + ln(2)/ln(x) =...

I am assuming you're asking where you can go to learn and understand mathematics.   There are several websites that are useful You can use this website, they have some nice explanations for different levels of math under the resources at the top of the page, or you can go directly...

p(x) = 3x2 + 4x -1 p(x) - a(a-h)2 - k  ( think you mean p(x) = a(x+d)2 + e   Since in our eqn  the coefficient of the x2 term is not 1, we need to divide out the 3 by multiplying by 3/3   p(x) = (3x2 + 4x - 1)3/3 p(x) = 3( x2+ 4x/3...

Chris,    Energy   Here is an explanation from Yahoo Questions that really answers your question   Chemical Energy: is stored in the bonds of the chemical they are holding together. Covalent bonds contain the most energy,while hydrogen bond much less....

Ibadan,   I already answered questions 2 or 3 on previous post   I will help set up the problems by helping you get the eqns but I will leave the solving to you   In all word problems you need to list the information you have and assign variables to those that...

(1)The best thing to do with word problems is list all the info you have and need assigning variables   it = total money invested = 5500   if1 = amount invested in fund 1 if2 = amount invested in fund 2 = it - if1 = 5500 - if1   pf1 = profit fund 1 = 8%...

If you remember,  a√x = x1/a and x(a•b) = (xa)b   we can take your eqn 3√x6y5   and convert it to    3√x6y5 = (x6y5)1/3= x6/3 y5/3    x6/3  simplifies to x2 because 6/3 = 2 y5/3  simplifies to y(3√y2) ...

ln(x+1) -ln(x) = ln(4)   if you remember the basic rules of logs   1) logb(mn) = logb(m) + logb(n) 2) logb(m/n) = logb(m) – logb(n) 3) logb(mn) = n · logb(m)   So if we look at your eqn, we can use rule 2    ln(x+1)...

(m-2)(n-5)/((m4)(n3)-1)   you could also notice that the denominator is also to the -1 power which means that it becomes part of the numerator   1/x = x-1 1/x-1 = x   (m-2)(n-5)/((m4)(n3)-1) =(m-2)(n-5)(m4)(n3)= (m-2)(m4)(n-5)(n3)   you...

lets assume the lengths of the sides of your triangle are A, B and C   if we take the triangular inequality theorem A < B + C   if we subtracted B from both sides we would get   A - B < C   now if we want to generalize this you could...

Yes it is possible.   Actually both of the terms in the equation are cubed.   27x3 = (3x)3  and (-1) = (-1)3= (-1)(-1)(-1)  = 1(-1) = -1  or (1)3 = 1   realizing this we can use formula for (a3 - b3) = (a-b)(a2 + ab + b2) in your...

Ruben,   first lets think what the y intercept is. It is the value of y when x is 0.   So what we would need to do is substitute x=0 into the given equation and then solve for y.   Given:Ax+By + C = 0 A(0) +By +C = 0      ...

Nicole   To convert a decimal with a repeating digit to a fraction Take your original number and multiply it by 10   in your case we have x = 215.1111111111 now if we multiply it by 10 10x = 2151.111111111   Now we have two numbers with...

Linda,   the distributive property is the distribution of multiplication over addition.   The example usually given is  a(b+c) = ab + ac   if we look at your equation and substitute the following a=1 b = u c = (-3)   we...

The horizontal asymptote tells, roughly, where the graph will go when x is really, really big. So I'll look at some very big values for x in both the positive and negative direction   lets use x at ±1  ±10  ±100 and  ±10,000 and ±1,000,000 lets begin with...

Cynthia   this is a word problem that you will solve from two equations.   First lets assign some variables   L - number of lions M - number of monkeys   Now lets determine your two equations'   1. there are 3 times as many monkeys...