Answer:
Step-by-step explanation:
This is modeled after an exponential function which, at its simplest, is
where, for us and in this particular situation, y is the final height, a is the initial height, b is the rate of growth or decline, and x is the number of bounces. We know the initial height is 20, but we need to find the rate of decline. Rewriting the formula to model a rate of decay or decline is
, or more closely related to our circumstances:
and simplifying that a bit:
, choice D.
First, let's find the area of one face of the cube.
Area = base x height
A = 5 x 5 = 25
There are 6 faces on a cube, so we can multiply the area of one face by 6 to get the total surface area.
SA = 25 x 6 = 150 ft^2
Hope this helps!
9.4/10 is the simplest form
Answer:
second option
Step-by-step explanation:
The x- intercepts are the values on the x- axis where the graph crosses.
These are
x = - 3, x = - 1 and x = 3
You can either find the roots of the quadratic formula using the quadratic formula two find the halfway point or you can use the formula t=-b/2a. Both of the two methods gives you the axis of symmetry (the t value for the vertex).
I will use the second method since I don't like using the quadratic formula.
t=-32/(2x-16)
t=1 second
After you find the t value for the axis of symmetry, you plug it into the formula of the graph to find the height.
h=-16+32+14
h=30 feet
