Answer:
The average rate of change of the function over the interval x = 0 to x = 6 is 
.
Step-by-step explanation:
Geometrically speaking, the average rate of change (
) of the function over a given interval is determined by equation of secant line, that is:
(1)
Where:
, 
- Lower and upper bounds.
, 
- Function evaluated at lower and upper bounds.
If we know that 
, 
and 
, then the average rate of change of the function over the interval is:
The average rate of change of the function over the interval x = 0 to x = 6 is .
Answer:
4 batches
Step-by-step explanation:
First, you need to convert the mix number into a single fraction:
3 1/5 = 16/5 total barrels of coffee beans used
This allows us to divide the numbers easier in the next step.
Next, because each batch uses 4/5 of a barrel of beans, you need to divide 16/5 by 4/5:
(16/5) / (4/5) = 16/4 = 4 batches
(The fives cancel out because they are the same divisor.)
I hope this helps!
-TheBusinessMan
Answer:
The first option is greater. The second option is more. The third option is 50%.
Step-by-step explanation:
Flipping a coin heads or tails expected probability is 50%. The more trials there are, the more accurate the actual probability will be.
Hope this helps!
Answer:
Alma got home at 3:27
Step-by-step explanation:
2:45+30 min=3:15
3:15+12 min = 3:27
Answer:
9:15 am
Step-by-step explanation:
Alarms sound at 7:15 am
Alarm frequencies are 40 min and 60 min
Since 40= 20*2 and 60= 20*3, the overlapping frequency is:
- 20*2*3= 120 min = 2 hours
So next time both alarms sound at 7:15 am + 2 hours = 9:15 am
