geno3141

Since they ate at the same rate for both years, they ate one-half of the potatoes the first year, and the other half the second year. How much is one-half of 1566 pounds?

I'm assuming that when you write "3 square root 5" you mean the cube root of 5.

If so, you want to find the cube root of 5 times the cube root of 25.

Since they are both cube roots, when you multiply them, you will be creating only one cube root, and it will be the cube root of 5 X 25, which is 125.

So, how much is the cube root of 125?  What number, used three times in multiplication, will have an answer of 125?

Gee, if you just knew of a site that had a calculator, you wouldn't have to do it by hand ... do you know any site that has a calculator?

One name is "mantissa".

A phase shift is a horizontal shift in a function; often, trig functions.

For instance, the basis sin function is  y = sin(x).

 If you have this equation y = sin(x - π/2)  (in radians, 90° if in degrees),

  you have a horizontal shift of the graph π/2 units to the right.

The equation y = cos(x + π) is the graph of y = cos(x) shifted π units to the left.

Yes:  if it's x - a, move the whole graph to the right a units; if it's x + a, move it to the left a units.

Example:  Turning an improper fraction into a mixed fraction.

                 Improper fraction:  23/7

                 -- divide 7 into 23 to get 3, with a remainder of 2

                 -- mixed:  3 2/7

Example:  Turning a mixed fraction into an improper fraction.

                Mixed fraction: 7 3/5

                 -- multiply 7 x 5 and then add 3  = 7x5 + 3  =  38

                 -- improper:  38/5

In the first step, when the student distributed the -2 with the 7 - y, multiplying -2 times -y should be + 2y.

The problem is to find how many students have either blond hair or glasses and then divide that by the total number of students; that will find the probability.

Since 7 have blonde hair and 9 have glasses, that would be a total of 16 persons if there were no overlap; that is, no blonde wears glasses and nobody who wears glasses is a blonde.

But there are 4 persons who have both blond hair and wears glasses. That means, of the 7 who are blondes, 3 of them do not wear glasses. And, of the 9 who wear glasses, 5 of them are not blondes.

So we have 3 who are blondes without glasses, 5 who wear glasses who are not blondes, and 4 blonds with glasses, for a total of 12 persons.

The probability is, therefore, 12/26 or 6/13.

This is a non-technical description:

The limit process gives the value for y in an equation as x gets closer and closer to some value.

It answers the question "What should the value of y be?".

Sometimes the equation actually has that value, sometimes it doesn't because the equation is not defined at that point (remember that you can't divide by zero).

For instance, if the equation is y = x + 3 and you want to find the value when x = 3, just put 3 in for x in the equation and you get the answer: 6. If you were to put in numbers close to x, such as 2, then 2.5, then 2.9, then 2.99 (etc), your answers would get closer and closer to 6 (they would be 5, 5.5, 5,9, 5.99). So the limiting process gets you closer and closer to 6; but you know it should, so that's not much of a surprise.

What about the equation y = (x² - 9) /(x - 3). Here, if you put in 3, you don't get an answer; it's undefined because you can't divide by zero. Now , you put in 2, 2.5, 2.9, 2.99, you'll get closer and closer to the limit (which is the value that it would have if there wouldn't be division by zero. Also if you approach 3 from the other side by putting in 3.5, 3.25, 3.1, 3.01, you'll again get closer and closer to the limit.

Try putting in those numbers and see if you can find the limit. The line is actually a line with one point removed, the point where x = 3.

There's a lot more; but this is a start. If you want more, post back. and, thanks for the question.

For scientific notation, you want the decimal point after the first digit. In this case you'll have to move the decimal point 10 places, so   3.6453 x 10^10.

Each time you move the decimal point one place you are either multiplying or dividing by 10, depending upon the direction that you're moving the decimal point.