Answer:
25x^2 - 16.
Step-by-step explanation:
(5x+4)(5x-4)
F = 5X*5X = 25X^2
O = 5x * - 4 = -20x
I = 4 + 5x = 20x
L = +4 * -4 = -16
So its
25x^2 - 20x + 20x - 16
= 25x^2 - 16.
Answer:
The volume of coffee in the thermos is 150.72 inches³ .
Step-by-step explanation:
Formula

Where r is the radius and h is the height .
As given
A thermos in the shape of a cylinder is filled with coffee.
The height of the cylinder is 12 inches and its radius is 2 inches.
As

Put all the value in the formula

= 150 .72 inches ³
Therefore the volume of coffee in the thermos is 150 .72 inches ³ .
J= -458! hope it helps :)
The correct model of the height of rocket above water is;
h(t) = -16t² + 96t + 112
Answer:
time to reach max height = 3 seconds
h_max = 256 ft
Time to hit the water = 7 seconds
Step-by-step explanation:
We are given height of water above rocket;
h(t) = -16t² + 96t + 112
From labeling quadratic equations, we know that from the equation given, we have;
a = -16 and b = 96 and c = 112
To find the time to reach maximum height, we will use the vertex formula which is; -b/2a
t_max = -96/(2 × -16)
t_max = 3 seconds
Thus, maximum height will be at t = 3 secs
Thus;
h_max = h(3) = -16(3)² + 96(3) + 112
h_max = -144 + 288 + 112
h_max = 256 ft
Time for it to hit the water means that height is zero.
Thus;
-16t² + 96t + 112 = 0
From online quadratic formula, we have;
t = 7 seconds
Answer:


And then the percentage between 24 and 40 would be 
Step-by-step explanation:
For this problem we have the following parameters given:

And for this case we want to find the percentage of lightbulb replacement requests numbering between 24 and 40.
From the empirical rule we know that we have 68% of the values within one deviation from the mean, 95% of the values within 2 deviations and 99.7% within 3 deviations.
We can find the number of deviations from themean for the limits with the z score formula we got:

And replacing we got:


And then the percentage between 24 and 40 would be 