Answer:
$31.18
Step-by-step explanation:
810.68/26=31.18
Step 1
find the volume of sand
volume of sand=8*20*3------------>Volume of sand=480 in³
Volume of sand in the new terrarium=10*24*h
where
h------------> is the <span>deep in the new terrarium
</span>remember that
the volume of sand is the same
so
10*24*h=480----------> h=480/(10*24)-----------> h=2 in
the answer is 2 in
To solve this problem you must apply the proccedure shown below:
1- You have that the equation of the line is:
Where 
is the slope and
is the y-intercept.
2- Based on the information given in the problem, the lines 
and
are parallel, which means that both have the same slope. Therefore, you can calculate the slope of 
:
3- Use the coordinates of the point 
to calculate the y-intercept:
4. Solve for :
5. The equation of the line is:
The answer is:
For this case what we should do is evaluate the function in each of the points from 2 to 7 and then find the average.
We have then:
f (x) = ln (3x) +2.5.
f (2) = ln (3 * 2) + 2.5 = 4.291759469
f (3) = ln (3 * 3) + 2.5 = 4.697224577
f (4) = ln (3 * 4) + 2.5 = 4.98490665
f (5) = ln (3 * 5) + 2.5 = 5.208050201
f (6) = ln (3 * 6) + 2.5 = 5.390371758
f (7) = ln (3 * 7) + 2.5 = 5.544522438
Then the average is:
Average = (4.291759469 + 4.697224577 + 4.98490665 + 5.208050201 + 5.390371758 + 5.544522438) / (6) = 5.019472516
nearest hundredth
5.02
Answer:
the average rate of change of f (x) from 2 to 7 is 5.02
