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Use the following to find the two roots:

\(y_{\pm}=\frac{19\pm \sqrt{19^2-4\times1\times7}}{2\times1}\)

Let r = y₊, say, and s = y_-

Can you take it from here?

Evaluate the expression 5(7 − 4)2 ÷ 3 + 11

5 X 3 X 2 / 3 +11

30/3 + 11

10 + 11

=21

You first need to specify what is the limiting value of x. 

What is sum of the first 30 positive numbers?

You can do it in a couple of ways:

(30 X (30+1)) / 2=465

Another way is to group them into pairs like this: 1 + 30, or 2 + 29, or 3 +28.....so on.

So we have 15 pairs X 31=465

You don't need to write a VBA macro, you can just do something like the following directly in the spreadsheet:

In the above you write =MOD(C3,C4) in cell C5

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The first part of your answer is correct Guest, but you went astray at the end.

\(((81a^3)^\frac{1}{4})^5 \rightarrow (81^\frac{1}{4}a^\frac{3}{4})^5 \rightarrow (3a^\frac{3}{4})^5\rightarrow3^5a^\frac{15}{4}\rightarrow 243a^\frac{15}{4}\)

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what is 2.5 in fraction form?.

You can write it like this:

2 1/4, also as 9/4.

The force is given by F = G*m1*m2/r^2  where G = 6,6742*10^-11 m^3/(kg.s^2), m1 and m2 are the masses and r is their separation.  Since you know F, G, m1 and m2 you can work out r

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Sum the individual digits:  6+7+6+4+5+6+0+n= 34+n

For any number divisible by 9 the sum of its digits is also divisible by 9

Therefore if we set n = 2 the sum will be 36, which is divisible by 9. No other single digit when added to 34 will give a number divisible by 9, so the missing digit is 2, and the overall number is 67645602

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Press the key that looks like \(\sqrt x\)

The following appears in the input line;  sqrt(   

Enter the number you want to take the square root of, followed by ) and press =

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I answered this question here: http://web2.0calc.com/questions/spring-constant-help#r1 

16 - 2|8 - 3(5 - 6)| → 16 - 2|8 -3(-1)| → 16 -2|8 + 3| → 16 - 2*11 → 16 - 22 → -6

Thank you Alan 

Well we not know the mass of the planets or how far apart they are because you didn’t put that question on here.

The planets names are “Dumb” and “Stupid”  so you probably came from one of them.

the answer is 6

In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

16-2|8-3(5-6)|

=-6

I need to simplify : 4th root of (81a^3)^5 the 4th root only implies to 81a^3

This can re-written like this:(81 a^3)^(1/4)=3(a^3)^1/4=3(a^3/4)

(3(a^3/4))^5=(243 a^15)/1024

CPhill: Please check this.Thanks.

the answer is 4

the average human body has a mass of 75 kg. Determine the mass of each of the following elements based on percents shown: oxygen- 65%, carbon- 18%, hydrogen- 10%, nitrogen- 3%, other- 4%

1- Oxygen=.65 x 75=48.75 Kg

2-Carbon =.18 x 75=13.50 Kg

3-Hydrogen=.10 x 75=7.50 Kg

4-Nitrogen=.03 x 75=2.25 Kg

5-Other    =.04 x 75=3.00 Kg

For a total of 75 Kilograms.

many thanks Alan

it's right.

How do I put code in Visual Basic in Excel by this function ( mod )
The first box: any number
The second box: small number (4,7,12)
The third box: result .

These days I tend to use Mathcad mostly, sometimes Matlab and, very occasionally, Maple (though when I was working I used Matlab most).

Difficult to know what to recommend without knowing what you are going to use it for.  The simplest to learn is probably Mathcad, the hardest is Maple (which is very similar to Mathematica).  The most powerful, at least as far as mathematics is concerned, is Maple/Mathematica.  Matlab and Mathcad are probably better for engineering applications.  For secondary school mathematics all of them are more than capable.  They are all pricey!

There are open-source (i.e. free) packages that do a lot of what these commercial packages do (though usually not so slickly).  For example, there is Scilab (a Matlab lookalike); SMath Studio (a Mathcad lookalike); and others.  There are a number of calculators that are mathematically quite powerful also, such as the Texas Instruments TI-Nspire or some of the Casio calculators.  There is also Microsoft Mathematics 4 if you use a Microsoft Windows PC.

As I said, it depends what you intend to use it for!

Yes It is, because 212 divides 4 evenly, thus:

212 / 4=53

343.3= 20 x sqrt(t+278), I'm not sure if it's 20 TIMES, or 20x. I will assume that it's 20*,

If that's the case, then the answer is:

t = 665489/40000=16.637225

Like so: