Let the side length of each of the squares cut out be x inches.
The volume of the box will be:-
V = x(19 - 2x)(11 - 2x)
V = x( 209 - 38x - 22x + 4x^2)
V = x(209 - 60x + 4x^2)
V = 209x - 60x^2 + 4x^3
For maximum/minimum volume we find the derivative and equate to zero:-
dV/dx = 209 - 120x + 12x^2 = 0
solving for x:-
x = 7.75 , 2.25
For maximum volume evaluate the second derivative:-
d^2V/dx^2 = 24x - 120
for x = 2.25 second derivative = 24(2.25) - 120 = -66 so x = 2.25 gives a maximum volume.
Answe:- r the dimensions of the squares is 2.25 * 2.2.5 inches
Answer:
The temperature on Tuesday was 13.3 degrees Celcius, 3 degrees less than that of Monday.
Step-by-step explanation:
Given that the temperature on Monday was 16.3 degrees Celsius, and the following Tuesday the temperature dropped about 3 degrees, to determine the temperature of that day the following calculation must be made:
16.3 - 3 = X
13.3 = X
Thus, the temperature on Tuesday was 13.3 degrees Celcius, 3 degrees less than that of Monday.
There are 64 handshake because eaxh hand is shaked 8btimes and there are 8 people, so 8×8=64
The ordered pair that could be taken from the table is: C. (–2, 1).
<h3>Ordered pairs of a Table</h3>
Ordered pairs are given as, (x, y). To find either x or y of a pair given an equation, plug in the given given to find the corresponding missing value of the ordered pair.
Input value = x-values, while output value = y-values.
Given:
y = –3x – 5
Let's find the corresponding y-value (output) of x = -2.
Substitute x = -2 into y = –3x – 5.
y = –3(-2) – 5
y = 6 - 5
y = 1
Therefore, the ordered pair that could be taken from the table is: C. (–2, 1).
Learn more about ordered pairs on:
brainly.com/question/1528681
Answer:
Nope
They aren't.
You can simply verify by using your calc.