Answer:
-1/36
Step-by-step explanation:
Estimate the instantaneous rate of change at the point indicated
To find the instantaneous rate of change we find the derivative of the given function
Instantaneous rate of change is the rate of change at the given point

To find derivative we apply power rule



Now plug in 4 for x in f'(x)


Answer:
- large: 40 lbs
- small: 20 lbs
Step-by-step explanation:
A system of equations can be written for the weights of the boxes based on the relationships given in the problem statement. One equation will be for the total weight of 1 large and 1 small box; the other will be for the total weight of 70 large and 60 small boxes.
Let L and S represent the weights of Large and Small boxes, respectively. The system of equations is ...
L + S = 60 . . . . . . combined weight is 60 lbs
70L +60S = 4000 . . . . weight of boxes in the truck
__
We can solve this by substituting for s in the second equation.
70L +60(60 -L) = 4000
10L = 400 . . . . . . . . . subtract 3600, simplify
L = 40
S = 60 -L = 20
A large box weighs 40 pounds; a small box weighs 20 pounds.
Answer:
11
Fifth term
Step-by-step explanation:
The third term is:
20 − (3)² = 11
If the term is negative:
20 − n² < 0
n² > 20
n > √20
n > 4.47
The first term to have a negative value is the fifth term.
Answer:
56
Step-by-step explanation:
1 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10
2 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10
4 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10
7 + 4 + 5 + 6 + 7 + 8 + 9 + 10
11 + 5 + 6 + 7 + 8 + 9 + 10
16 + 6 + 7 + 8 + 9 + 10
22 + 7 + 8 + 9 + 10
29 + 8 + 9 + 10
37 + 9 + 10
46 + 10
56
Hope this helps!
Also hi