Answer:
The number 10/2 = 5 is an integer.
Step-by-step explanation:
An integer is a whole number which cannot be expressed in fractions. For example, 1, 2, 3...
Integer can be positive, negative of zero.
It is a whole number so it is an integer.
- 0.3
It is not an integer as it has a fractional part.
It also has a fractional part, so it is not an integer.
0.4
It also has a fractional part, so it is not an integer.
Answer:
Height: 3/2 inches
Length: 12 inches
Width: 4 inches
Step-by-step explanation:
Let x is the side length of the square
The height of the box by cutting squares off :x
The new volume of it is:
V = (15 -2x) (7 -2x) x
<=> V =
To maximum volume, we use the first derivative of the volume
<=>
<=>
<=> 2x -3 = 0 or 6x -35 = 0
<=> x = 3/2 or x = 35/6
To determine which value of x gives a maximum, we evaluate
= 24x -88
= 24(3/2) -88 = -52
= 24(35/6) -88 = 52
We choose x = 3/2 to have the maximum volume because the value of x that gives a negative value is maximum.
So the dimensions (in inches) of the box is:
Height: 3/2 inches
Length: 15-2(3/2) = 12 inches
Width: 7 - 2(3/2) = 4 inches