T = k/R where k is the constant of variation, T=time and R=speed.
Plug in the given values:-
12 = k/60
k = 12*60 = 720
So the equation of variation is T = 720/R
At 85 mph we have
T = 720 / 85 = 8.47 hours (answer)
The reactangle has an area of x.
So that means two numbers multiplied to each other equal to x. We can just think of itwo numbers that when multiplied equal to x as a and b.
So that means the side lengths are <u />a and b. And ab = x (will be using this right next).
And it was multiplied by some scale factor that made the new area 9x. So if the scale factor is y, then:




y can not equal to -3, because the length of a side of any polygon can never be negative.
So the dilation is 3.And so if the dimension is 5 by 8.
Then the area is

And so then

And then after the dilation, it would be

We could check it another way too. Since we said the scale factor is 3, then:

So
basically
15 by 24 is the new dimensions :)
Given that t<span>he
mean lifespan of a sylvania light bulb is 1600 hours with a standard
deviation of 300 hours, an iqr of 450 hours, and a range of 690 hours.
the lifespan distribution is relatively symmetric.
Since, the distribution is relatively symmetric, the measure of
spread that is the best measurement is the standard deviation.</span>
The rule for this one is called the difference of squares
A^2 - b ^2 = (a+b)(a-b)
Using this rule
N^2 - 62 = (n+ sqrt(62)) (n - sqrt(62))
The solution for this one is to make the statement = 0
0 = (n+ sqrt(62)) (n - sqrt(62))
N can either be +- sqrt(62)