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Ah, my words failed me! Thanks for pointing that out :p

Thanks ThisGuy.  :)

It really means  x=i    OR    x = -i

x obviously cannot equal both at once and that is what 'and' means :)

It is a technical difference but it is an important one for both of you to understand :)

Looking at Google, the formula for the volume of a cylinder is \(V = \pi r^2 h\)

Plugging stuff in, we have \(V = \pi * (15/2)^2* 8\)

Solving gives us \(V = 450 \pi\)

or V = 450pi units^2

//edit

I should clarify that r = d/2. That's why I used 15/2.

We have a right triangle with a hypotenuse =  27 and a leg   = 22

So.....the height is

sqrt  ( 27^2  -  22^2 )  ≈ 15.65 in  =  16  in

Write 3(x-5)^2 as an expression

It is already an expression

but you can expand it if you want.

3*(x-5)(x-5) = 3*(x^2-10x+25) = 3x^2-30x+75

You roll three six-sided dice. What is the probability that exactly two of the dice are odd? Write your answer as a fraction in simplest form.

3C2*(3/6)^2*(3/6)^1 = 3*(1/2)^3 = 3/8

If you need it to be done in a different way then say so.

It would be easy to do with a probability tree.

The +- symbol means that the number can be both positive and negative. So, to elaborate on Meoldy's answer, x = -i and  x = +i. You use it whenever you take the square root of a number, as both (-x)^2 and (x)^2 give the same result, without exception.
You'll see this in the quadratic formula: \(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)

That just means there are two answers, one where the +- sign is positive and one where it's negative.

"D"  is correct

Look  at the pic :

AB  = DE,  AC = DF  and BC  = EF

So.....by SSS  the triangles are congruent  which implies that matching angles are also congruent

15 to 16 inches

for what does the kind of mix between '+' and '=' stands for?

a/b =

(na/b)/n

(where 'n' is the decimal)

example:

4/5 =

(40/5)/10 =

8/10 =

0.8

There is no real answer, YOu cannot find the squareroot of a negative number but if you know about complex numbers there is an imaginary answer.

\(x^2=-1\\x=\pm i\)

⁵√243   =   3

45% off  means that  the cost of the phone is 55%  of its original price....so

55% *  83   =   .55 * 83  =  $ 45.65

$40  rebate means the cost is  83  - 40  =  $43

The rebate is the better  deal

Good job, hectitctar......at least you got it down to a cubic ....

But you're correct.....it's still hard to solve....!!!!

Note.... There is a "formula" for solving a cubic, but it's pretty messy !!!  

Also......here's a procedure involving some substitutions.....

http://www.sosmath.com/algebra/factor/fac11/fac11.html

Not sure it's worth pursuing for this problem, but if you can work it out.....I'd be willing to chip in a point  (or two).......LOL!!!!!

DMBN is a parallelogram that is cut in half by AC.

area of shaded region = (1/2)(DMBN)

Imagine that DMBN is a stack of saltine crackers that is leaning to the right.

If we straightened the crackers up, the area of the side facing us stays the same.

When they are straightened up, we can see that

area of side facing us = MB * MN

And... MN = 1     and     MB = (1/2)

So..

area of DMBN = (1)(1/2) = (1/2)

and so..

area of shaded region = (1/2)(1/2) = 1/4 un²

MBND  is a parallelogram   with a base  = 1/2  and height  = 1

So....its area  =  (1/2) (1)  = 1/2

And....because  of symmetry, the diagonal AC divides the parallelogram into equal areas......so.....the shaded  area  = 1/4 

Hey!! I might have figured out a way!!!

\(3\log(x-2)=\log(2x)-3 \\~\\ \log(x-2)=\frac{\log(2x)-3}{3}\)

And...

\(\log_{10}(n)=a \quad \rightarrow \quad 10^a=n\)

That means:

\(10^{\frac{\log(2x)-3}{3}}=(x-2) \\~\\ (10^{\frac{\log(2x)-3}{3}})^3=(x-2)^3 \\~\\ 10^{\log(2x)-3}=(x-2)^3 \\~\\ 10^{\log(2x)}*10^{-3}=(x-2)^3 \\~\\ \frac{2x}{10^3}=x^3-6x^2+12x-8 \\~\\ 0=x^3-6x^2+(12-\frac{2}{10^3})x-8 \\~\\ 0=x^3-6x^2+11.998x-8\)

Annnd then....I dunno how to solve that..I thought once I got rid of the logs it would be easy.... 

But I checked this on WolframAlpha:

no it is what h**l is made of

im on this to help and receivce help

was this helpful?

wow not a single answer thats sad

This question indicates you choose the “best” description is from a list.  You need to include these when you post this type of question; else, no one will know how to answer your question properly.  (Unless that person has mind reading skills, like some of us genetically enhanced chimps).

The dog speeds up   

The dog slows down   <-------This is the best description.

The dog moves with a constant speed   

The dog changes direction

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