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:
Continuous: Height, weight, annual income.
Discrete: Number of children, number of students in a class.
Continuous data (like height) can (in theory) be measured to any degree of accuracy. If you consider a value line, the values can be anywhere on the line. For statistical purposes this kind of data is often gathered in classes (example height in 5 cm classes).
Discrete data (like number of children) are parcelled out one by one. On the value line they occupy only certain points. Sometimes discrete values are grouped into classes, but less often.
Step-by-step explanation:
Answer:
11
Explanation:
(next time, it would be helpful to include a picture)
If you were on the same test as I was, than that means that the triangle you're looking for is the one below.
Using the Pythagorean Theorem,
a² + b² = c² is the same as c² - b² = a²
c = 61
61^2 = 61 X 61 = 3,721
b = 60
60^2 = 60 X 60 = 3,600
Next, we subtract:
3,721 - 3,600 = 121
√121 = 11
(x = 11 cm)
so 11 is your answer
Answer: More information
Step-by-step explanation:
