Answer:
A. 49
Step-by-step explanation:
The average rate of change for the interval ranging from x = 3 to x = 5 for the given function represented in the table above can be calculated using:
x2 = 5
x1 = 3
f(x2) = f(5) = 125
f(x1) = f(3) = 27
Thus,
Average rate of change = 49
Average rate of change of the given table values representing an exponential function is A. 49.
The derivative is -6sin(3x)
Answer:
p = -6
Step-by-step explanation:
1) Distribute 3 through the parenthesis {3p + 12 = p}
2) Subtract 12 from each side {3p = p - 12}
3) Subtract p from each side {2p = -12}
4) Divide each side by 2 {p = -6}
Answer:
<h3>Total 20 boxes are there. </h3>
Step-by-step explanation:
Total number of shelves in a warehouse = 5 shelves.
Each shelve either can hold maximum 8 boxes with their lengths or can hold 4 boxes with their heights.
So, in that case only 4 boxes could be hold in each of 5 shelves because only 4 boxes could be fit with their heights.
Therefore, total number of boxes = 5 × 4 = 20 boxes .
<h3>Therefore, total 20 boxes are there. </h3>
Answer:
The time that the rocket will hit the ground is 12.87 seconds.
Step-by-step explanation:
Given : The rocket is launched from a tower 
. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation.
To find : The time that the rocket will hit the ground ?
Solution :
When the rocket hit the ground i.e. height became zero y=0,
Equation is
Substitute y=0,
Using quadratic formula, 
Reject negative value.
The time taken is 12.87 seconds.
