Erin,
For exponential functions, a fixed difference in domain translates into a fixed
ratio of range.
Difference given in domain = 38 (30 - (-8)). Ratio of range = 580/200 = 2.9, ln(ratio of range) = 1.06471074
So for function f(x) = a * exp(kx)
take ln each side:
ln (f(x))...

This isn't a problem, yet. What was the original form, and what are p and q supposed to represent?
All right, that's a proper problem now.
You want an expression for x ("solve for x"). To do this, you must gather all the terms for x together.
But in order to easily...

Hi Jonathan,
I hate these problems! There's nothing wrong with Mark M's solution above, and it's what your textbook wants you to do to solve. The problem is, in real life, reservoirs don't drain linearly with time; rather, the rate of emptying depends on the pressure head operating at the outlet...

So Jessi,
What do you think the midpoint means? It means, that you started at A and went halfway towards B IN THE DIRECTION B LIES IN. So, how do you find the *displacement* from A to the midpoint? It's ALWAYS final minus initial (for each of x and y). So let's say for example that A = (2,-2)...

Tamie,
There's a couple of ways you could approach this problem. The first is intuitive:
1) If Alfred drives 10 mph slower than Brigit, then for every hour Alfred drives, he lags Brigit by (another) 10 miles. Since in the problem, Alfred built up a 25 mile lag from Brigit, therefore everyone...

However, the useful point here is probably *why* all side chains per se have the enormous effect on viscosity -- for a molecule this compact, the side chains of adjacent molecules aren't tangling much around each other (as would much longer chains), there's no steric room for them to do so...

Megha(?) or Meghan,
NTP stands for Normal Temperature and Pressure. It's now defined as 101.325 kPa pressure, and 20C temperature.
This compares with STP == Standard Temperature and Pressure, defined as 100 kPa and 0C temperature. To convert your 2L of nitrogen gas, you need to calculate...

Crystal,
A prion is a particular denatured configuration of one (or possibly more than one) surface membrane protein of nervous system cells. So it's both a macromolecule (the protein), plus the particular shape it has taken, which unfortunately enable it to latch onto and transform normal protein...

Quadratic expression means a sum of terms (each term has form ax^n , where a is a constant (real number), and n is an integer, such as 0, 1, 2, etc.), and x stands for a variable (x, y, z, p, etc.)(the same variable across the whole expression!).
Quadratic means that one term in the expression...

Natalie,
These are both problems in Special Relativity, the theory and laws of what happens to certain measureable properties of objects travelling with respect to each other.
It seems weird to us in the normal, slowly moving world, but the measurable dimensions of objects change when they're...

Jayce,
Let me break the question down into pieces that may make more sense to you. The two answers above tell you WHAT to do, but that doesn't really help you understand WHY to do them, does it perhaps?
OK, "A 113 L sample of helium": This is what you start with; it's a gas (being...

Jordan, I don't know what sort of terminology mishmash your educational course may use for this, but the essence of the answer is this: A logical linear sequence is how YOU analyse and synthesize usually a single item, factor or event at a time. Thus, you might trace "getting yourself hit by...

Another way to say this is: in order to graph (-x)^0.5 for negative-valued x, there's no problem since the result is a positive real number : i.e. you can do it on regular 2-D graph paper. But for positive-valued x, now you need to show the result on the imaginary portion of the complex plane. So,...

Heaven,
Zygomycetes are a certain family of fungi. Like many other organisms, within the family there are species with all sorts of numbers of chromosomes! You'd have to go in and look up "ploidy" for a few species specifically, to get an idea of what's typical. I suspect, the purpose...

Courtney,
There are just three types of systems of equations:
1) inconsistent = no solutions : such as (for two equations in two variables) two parallel but not overlapping lines
2) dependent = infinite number of solutions : such as (for two equations in two variables) two lines that...

I'd have to differ on the answer here. Richard P., the adiabatic lapse rate arises from a volume of gas expanding against a gradually decreasing surround pressure. Thus, such a gas packet does work on the surroundings as it rises, and experiences a loss of sensible heat as a result. Here, in spite...

April, I'll point you in the right direction on this one, since it's your third question today (that's close to spamming!)
In chemistry, you must be agile at converting among several units of measure for substances. The one that's convenient to measure directly in the lab is mass (frequently...

April,
You're posting an awful lot of questions today. Big test review?
Charles' Law indicates that the volume a gas takes up is proportional to the temperature ****in degrees Kelvin****.
Therefore, calculate what your initial and final temperatures are in degrees K (add 273.15 to the...

Actually Kamesha,
Matt above is right, if you think of the Earth as flat. But, especially up around the (geographical) poles of the Earth, the situation gets iffy. For example, if you both started just 5 miles south of the North Pole, you'll end up only 5 miles apart, because you'll end up at...

No Xavier, this is not the problem you had to solve. For several reasons. First of all, as stated you're given the decrease (negative change) in value (not cost, he's not still buying it!). Then, usually you'll have to solve a typical expression for value vs. time. But it's not a quadratic, it's...