Melody

We don't mind all your questions Mellie, they are excellent questions I wish I had more time to do them and to learn from other people's answers too.  

That is my only complaint - time is always an enemy :)

Are you understanding the answers Mellie?  You can always quiz people on their answers, if you want to, you know.

I like seeing you answer questions on the forum too.  The more that you get involved the better that it is.  

That is what I think anyway :))

√64 × 3x2y2 − 4xy × 5xy simplify

$$\\\sqrt{64}*3x^2y^2-4xy*5xy\\\\
=8*3x^2y^2-4xy*5xy\\\\
=24x^2y^2-20x^2y^2\\\\
=4x^2y^2\\\\$$

Thanks Geno, I thought strain would have some kind of  unit attached to it  

Is that a normal way to do it?

Ok, it is not a problem sabi,  

I am sure you will get yourself better organised.   

Chill yourself Titanium, there is no fight happening here, especially not by me :)

0.6 I guess.    

I mean he can only get 0 or 1 if he only serves the manager once.  But t he expected return in a statistical sence is 0.6 I think. 

- An airplane needs to travel 400 km. Determine a function for the speed of the airplane, with respect to time.

f(t)=400/t           where t=time    and f(t)=speed   (km/time unit)

-Scott wants to calculate the distance from his house to each of his friends' houses. If he drives at 50 km/h, find a function for the distance, with respect to the number of hours it takes to travel.

f(h)=50h       where h=hours and   f(h) is distance in km

Thanks Heureka,

I am going to do it a little differently but our answers are the same :)

A 9x12 rectangle is inscribed in a circle. What is the radius of the circle?

The diagonal of the rectangle is the hypotenuse of the triangle with short sides 9 and 12

It is also the diameter of the circle.

$$\\d^2=9^2+12^2\\
d^2=81+144\\
d^2=225\\
d=15\\
$The radius is half the diameter so radius = 7.5 units$$$

You might have got this straight of if you had realised that

3*3=9

4*3=12

5*3=15

3,4,5 is a pythagorean triad so, so is 9,12,15.     So the diameter had to be 15units

Yes, I saw it but it did not look very helpful to the question asker.

Maybe these might be more useful

T=-8+2h

Where T is the temp and H is the number of hours that have passed since the original early reading of -8degrees.

Obviously there needs to be constraints,  h must be positive, and h obviously needs an upper constraint as well, the temp will not keep going up for more than a few hours, but anyway that is probably the simplified answer that you need.