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: 1/2
Step-by-step explanation:
Number of red balloons = 17
Number of purple balloons = 11
Number of orange balloons = 3
Number of green balloons = 1
Number of yellow balloons = 2
Total number of balloons = 34
The probability that a randomly selected balloon will be red will be:
= Number of red balloons/Total number of balloons
= 17/34
= 1/2
Answer:
15
Step-by-step explanation:
7x3=21
21-6=15
the word times means to multiply a number the said amount of times for example
cat has 5 sticks. Roger has 2 times as many sticks as cat. the equation is 5 × 2 that would equal 10. :)
first you put 12 over 100 and that is 12/100 and then simplify
