D(e^(In(x))^2)/dx = 2 In(x) * 1/x * e^(ln(x))^2 = (2e^(ln(x))^2 * In(x)) / x
The fence is 210 ft long.
There is a post every 3.5 ft.
If you divide 210 ft by 3.5 ft, you get the number of spaces between posts.
(210 ft)/(3.5 ft) = 60
The fence starts with a post. Then there is 3.5 ft of fencing. Then there is another post. Then there is another 3.5 ft of fencing followed by a post. In total there are 61 posts.
Here's another way of thinking of why you end up with 60 posts.
For each 3.5 ft of fencing, you place a post at the end of the fencing.
Since there are 60 3.5-ft-long pieces of fencing, there will be 60 posts, one at the end of each piece of fencing. The first thing that is done is to put the initial post before any fencing is put up. The first post plus 60 more posts add up to 61 posts.
Now that you see why there are 61 posts, we can calculate their cost.
61 * $8.50 = $518.50
Answer:

Step-by-step explanation:
Given
See comment for data
Required
The lower limit 94% confidence interval
First, calculate the mean




Next, calculate the standard deviation using:

So, we have:




For 94% interval, the z score is

So, the margin of error (E) is:




The confidence interval of the true mean is:

The lower limit (L) is:



and the upper limit (U) is



Answer: D, 6y + 1z = 7x - 3w
Step-by-step explanation: Expressions do not have equal signs (=), D is the correct answer.