Answer:
The dimension of the cardboard is 34 cm by 34 cm by 17 cm.
Step-by-step explanation:
Let the dimension of the cardboard box be x cm by y cm by z cm.
The surface area of the cardboard box without lid is
f(x,y,z)= xy+2xz+2yz.....(1)
Given that the volume of the cardboard is 19,652 cm³.
Therefore xyz =19,652
......(2)
putting the value of z in the equation (1)
The partial derivatives are
To find the dimension of the box set the partial derivatives 
and 
.Therefore 
.......(3)
and 
.......(4)
Now putting the x in equation (3)
⇒y=34 cm
Then 
=34 cm.
Putting the value of x and y in the equation (2)
=17 cm.
The dimension of the cardboard is 34 cm by 34 cm by 17 cm.
Answer:25
Step-by-step explan students ation:
total number of students=1+1+9+8+3+2+1
total number of students=25
Answer:
Third option.
Step-by-step explanation:
Some transformations for a function f(x), are:
If 
, the function is shifted down "k" units.
If 
, the function is shifted up "k" units.
If 
, and 
, the functio is stretch vertically by a factor of "b".
If 
, the function is reflected over the x-axis.
Therefore, knowing that the parent function 
was transformated by reflecting it over the x-axis, stretching vertically by a factor of 2 and shifting it down 3 units, we can determine that the following function represents the transformation:
Quotient: 164
Remainder: 8/19
Answer:
b
Step-by-step explanation:
Given
Substitute x = 3 into the expression
= 
= 
= 
= 0 → b
