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Much appreciated! 

deceleration and acceleration are exactly the same thing!  The only difference is that if you lose speed your resulting acceleration will be negative.  In your example

(8-25)/3=-17/3

thanks! whats the formula for deceleration? i have driving at 25mi/hr slam on breaks, and in 3 seconds speed decreases to 8mi/hr.

2(9)+8=18+8=26

With that in mind go ahead and try number 2 for yourself.  If you post your working and/or questions here I'll check them for you!

1. There is a nifty little rule with radicals that goes as follows  sqrt(ab)=sqrt(a)sqrt(b)   it only works for positive values of a and b, but it is pretty rare that we are not looking for positive values so lets carry on.  As a quick example lets decompose sqrt(32)this way

Sqrt(32)=sqrt(16)sqrt(2)=4sqrt(2)  This will be useful for simplifying your original problem!

4 / sqrt(32)=4/(4sqrt(2))=1/sqrt(2)   It sure would be nice to leave it like this but we need to rationalize the denominator.  I'll multiply by a very sneaky form of 1, sqrt(2)/sqrt(2)

1sqrt(2)/sqrt(2)sqrt(2)   Please note that sqrt(2)sqrt(2)=2

so our final answer is sqrt(2)/2

acceleration is change in velocity divided by time.  In 10 seconds the change in velocity is 26.82-17.88=8.94

then we divide by time, 10, to get .894m/s^2

(3 possibilities for the first die) * (3 possibilities for the second die) = 9 possibilities

I'm assuming that x represents the side of the square.  And the area of a square is given by:    A = side²

Therefore:

12= side²      take the square root of both sides

√12 = side = 2√3

thank you!

There are nine possibilities.  The first die can be a 1, 2, or 3. If it is a 1, there are three options for the second:1,2, and 3.  If the first is a 2 there are the same three possiblities for the second and the same again for the the first die being a 3.  3X3=9 so there are 9 possibilities.

velocity is distance divided by time so for you it is 517/8=64.625 MPH

Re:  seven slips of paper with the number 4 through 10 are placed in a box after mixing two slips are drawn list the different combinations

You need to select the LaTeX Formula button from the ribbon and enter your LaTeX into that (I just copied and pasted it below).  

$$\frac{a}{c} + \frac{bc - ad}{c} \left [ \frac{(cx - a + \alpha)\alpha^{n - 1} - (cx - a + \beta)\beta^{n - 1}}{(cx - a + \alpha)\alpha^{n} - (cx - a + \beta)\beta^{n}} \right ]
where:

\alpha = \frac{a + d + \sqrt{(a - d)^2 + 4bc}}{2}
\beta = \frac{a + d - \sqrt{(a - d)^2 + 4bc}}{2}

\left\{b+1,\sum_{i=a}^b g(i)\right\} \equiv \left( \{i,x\} \rightarrow \{ i+1 ,x+g(i) \}\right)^{b-a+1} \{a,0\}
and the equivalent product:

\left\{b+1,\prod_{i=a}^b g(i)\right\} \equiv \left( \{i,x\} \rightarrow \{ i+1 ,x g(i) \}\right)^{b-a+1} \{a,1\}$$

I'm not clear what your question is though!

It should also be noted that the antiderivative is ln|x|+c and yes it is very important that we include the absolute value bars in our answer.  The function f(x)=1/x has all real numbers, with the exception of 0, as its domain so naturally we want the antiderivative to have the same domain.  Notice that ln(x) has a domain that includes on the positive real numbers.  In when we use the absolute value inside the natural log it will now accept negative real numbers and inputs so now it has the same domain as 1/x. 

Empirical evidence indicates....... "three."

However, theoretical upper bounds have not yet been established, so it could be more....

Stay tuned......

to add on to this i want to mention that a lot of people try to use the antiderivative equivalent of the power rule where we add 1 to the exponent and then divide by it.  I saw this a lot with my own students this year.  they would do this:

(x^-1+1)/(-1+1)=(x^0)/0   and then they would try to tell me the answer was 0.  what in the world!  This is obviously undefined

Looks like you just need to simplify.  We want to combine "like" terms which means, basically, terms that have the same variables or terms that are just contants get combined.  In your expression 32 and -6 are like terms because they are just contants.  Since 32-6=26 your final expression will be

26-34y

Here's another way of looking at it (but also by differentiating lnx):

Let us start by letting  f(x) = e^x and g(x) = lnx

And these functions are inverses of each other.

There is  a fact associated with inverse functions that says that:

g'(x) = 1 / f '(g(x))     ..... so using this, we have

g'(x) = 1/ e^(g(x)) = 1/ e^(lnx) = 1/x   (remember that f'(x) = e^x)

Putting this together, we have

(d/dx)[ ln(x) + C] = 1/x      (the derivative of the constant "C" = 0)

Thus, taking the derivative of the anti-derivative ln(x) + C  returns the function in the integrand, i.e., 1/x = x^(-1)

If you have graph paper the easiest way to see this is to plot the points and connect them to make a right triangle.  One side will be 5 long because 2-(-3)=5 and the other will be 5 as well since 0-(-5)=5.  Now we can use the pythagorean equation to find the hypotenuse which is equivalent to the distance between the points.

5^2+5^2=h^2

50=h^2

sqrt(50)=h

5sqrt(2)=h   If you desire a decimal approximation of this it can easily be typed into any calculator

How many 'answerers' does it take to divide a number by 2 ?

Three answers that are all the same........they MUST be correct!!

What's an "SST" test???

Your diameter is 11.6 and as the radius is half of the diameter so ur radius will be half of the diameter !

so to find the radius as half means deviding by 2 we will find ur radius by deviding the  diameter by 2 that will give us the half!

so we'll do it like this :

11.6/2

=5.8    ANSWER

I hope uv understood by now and if not then pls be free to ask!

I hope this helps as there was no question for me to answer so I thought this one I can do so let me answer this only !