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
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...
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....
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
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)
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)
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 ...
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...
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
b = u
c = (-3)
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...
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...
First, we should look at dilation and what traits are retain and which change
A dilation is a transformation (notation ) that produces an image that is the same shape as the original, but is a different size. A dilation stretches or shrinks the original figure.
The vertex is always halfway between the focus and the directrix, and the parabola always curves away from the directrix.
so if the focus is at (0,-2) and the directrix is at y = 4
the vertex would be halfway between here
So the vertex, exactly between the focus...