Answer:
The maximum volume of the open box is 24.26 cm³
Step-by-step explanation:
The volume of the box is given as 
, where 
and 
.
Expand the function to obtain:
Differentiate wrt x to obtain:
To find the point where the maximum value occurs, we solve
Discard x=3.54 because it is not within the given domain.
Apply the second derivative test to confirm the maximum critical point.
, 
This means the maximum volume occurs at 
.
Substitute into to get the maximum volume.
The maximum volume of the open box is 24.26 cm³
See attachment for graph.
Answer: 12 cakes
Step-by-step explanation:
point slope form:y-2=4(x+1)
then distribute 4 and simplify y-2=4x+4 , y=4x+6 is the slope -y intercept form
then, move 4x on the left side, you get -4x+y=6 , multiply every term by -1, you get 4x-y=-6 which is standard form.
Answer:
0.75
Step-by-step explanation:
3/4=0.75
Hope this helps! :)
Answer:
11/5 inches
Step-by-step explanation:
total snowfall for the day = snowfall in morning + snowfall in evening
= 8 over 5 + 3 over 5 (all in inches)
= 8/5 + 3/5 (all in inches)
Since the denominators are the same (5), we can simply add the numerators up while keeping the denominator
(8/5 + 3/5) inches= (8+3)/5 inches = 11/5 inches = total snowfall for the day
