This box has the same length , width, and height as the 2 basketballs. Which expression gives the volume of the empty space enci
rcling the basketballs inside the box?
2 answers:
Answer:
Step-by-step explanation:
we know that
The volume of the empty space encircling the basketballs inside the box is equal to the volume of the box minus the volume of the two basketball inside the box
so
<u>The volume of the box is equal to</u>
in this problem we have
substitute
The volume of the two basketball inside the box is equal to
n this problem we have
substitute
The expression is equal to
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Answer:
Step-by-step explanation:
The equation that models the height of the ball in feet as a function of time is
Where is the initial height,
is the initial velocity and t is the time in seconds.
We know that the initial height is:
The initial speed is:
So the equation is:
The ball hits the ground when when
So
We use the quadratic formula to solve the equation for t
For a quadratic equation of the form
The quadratic formula is:
In this case
Therefore
We take the positive solution.
Finally the ball takes 2.47 seconds to touch the ground
The current rate is simply equal to $175 per month, let us call this as rate A:
A = 175
The new rate is $94 plus $4.50 per devices, let us call this as rate B:
B = 94 + 4.50 x
where x is the number of devices connected to the network
The inequality equation for us to find x which the new plan is less than current plan is:
94 + 4.50 x < 175
Solving for x:
4.50 x < 81
x < 18
So the number of devices must be less than 18.
- From the graph, we can actually see that the new rate intersects the current rate at number of devices equal to 18. So it should really be below 18 devices.
