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This falls into the category of a very poorly written question which is probably one reason why no tutor has answered it for months. The question assumes a different type of universe where a student can predict their expected grade and number of hours per week they need to devote to a course...

Well, in terms of definitions, a macromolecule is just a very large molecule. But there's a lot more to macromolecules than just their definition. Depending on the exact course you're taking and the level that it's being taught, you might be expected to know a more specific definition or particular...

If you use either method and end up with a statement that's always true, like 0 = 0 or 1 = 1, the system of equations is dependent. Here's a simple example to try yourself: x+y = 2 2x+ 2y = 4.   If you use either method and end up with a statement that's always false,...

It's easier to understand and remember how to use the rational root theorem if you see where it comes from by considering the roots of a polynomial after it's been fully factored. If you fully factor a polynomial then you get a bunch of linear terms multiplied by each other. Just like a quadratic...

I would use the unit-factor method to solve this question, but formulas are easier to write about. The relevant formula to use is:   Q = (CP)(delta-T)(n) where Q is the heat energy transferred into or out of a material, CP is the heat capacity of the material, delta-T is the temperature...

It sounds like you might be in a linear algebra course or maybe you're taking an advanced algebra or precalculus course. There are several different expected ways to answer this question depending on which course you're taking and the material you've learned so far. A cumbersome-but-most-likely-to-be-familiar...

Hi Jay, There are (at least) two different methods to solve this problem. One method uses calculus, so it would be the expected solution method for a calculus course. Another method doesn't use calculus but it does use knowledge of parabolas and quadratic expressions, so it would be the expected...

Hi Diane, When you heat ice at −10.0 °C until it becomes superheated steam at 129.0 °C, you are proceeding through several steps, and you have to take the time and make the calculations to account for each of those steps. In a general sense, adding thermal energy to H2O or any other...

Hi Nish, and welcome to the wonderful world of factoring polynomials of degree 3 and above. That wild beast is a quartic because it's degree 4, and here's how I would try to tame it by factoring it into nice domesticated polynomials of degree 1 and 2. These are the the linear and quadratic polynomials...

Before solving this problem, it's useful to know how the three Pythagorean identities arise from the Pythagorean formula. If you have a right triangle, select one of the non-right angles as x, and label the three sides as adj, opp, and hyp to represent the lengths of the sides adjacent to x,...

I think the answer is "zero pair," but I don't think I would have gotten it without your hints! A zero pair is two manipulatives representing numbers that make zero or two numbers that make zero. Zero pairs are used in prealgebra to help students learn integer arithmetic, but most students...

Hi Ej, A probability model is just a set of all possible outcomes. For this carnival game, I'm assuming that you're not permitted to keep playing after you win, so the two general classes of outcomes are you either win within 4 throws and then stop playing or you don't win within 4 throws...

This is a domain question in disguise. Most high school and college math textbooks introducing inverse trigonometric functions would indicate that the value of sin(sin−1(1.325)) does not exist because sin−1(1.325) doesn't exist. The sine of any real angle must fall between −1 and 1. This...

Nope! If I understand your question correctly, being "left with 1" means a factor of 1, not a remainder of 1 and not the expression "x−1". For example: Maybe you needed to find all the zeros of x4−15x2−10x+24. You determined that there was a real zero at x=4, so you divided...

Let's start with the answer! Be sure to check out http://www.wolframalpha.com/input/?i=Simplify+%283q^2%2B9q%2B6%29%2F%289q^2-36q-45%29 . Wolfram Alpha today is like calculators were in the 1970s. Using it and playing with it will help you learn math. Now on to the skills you need to solve...