Answer:
A function that gives the work required in foot-lbs to lift the bucket up x feet from the ground is 
and the work to get the bucket to the top of the cliff is 3726 foot-lbs
Step-by-step explanation:
Work done to lift the rope by distance x feet:
Work done to lift the bucket by distance x feet:
On reaching top 7 gallons of water spilled out so , on going up by x feet 
gallons of water spilled out.
a function that gives the work required in foot-lbs to lift the bucket up x feet from the ground:
Now the work to get the bucket to the top of the cliff i.e. x =35
W=3726
Hence, a function that gives the work required in foot-lbs to lift the bucket up x feet from the ground is and the work to get the bucket to the top of the cliff is 3726 foot-lbs
1. 4
2. 12
3. 6
4. 18
5. 2
6. 4
7. 7
8. 15
9. 9
Answer: 1 3/4 is your mixed fraction and 7/4 is the improper fraction.
Step-by-step explanation:
<u>Question 1</u>
If we let 
, then 
.
Also, as 
bisects 
, this means 
.
Thus, by the intersecting chords theorem,
However, as distance must be positive, we only consider the positive case, meaning FE=9
<u>Question 2</u>
If we let CE=x, then because AB bisects CD, CE=ED=x.
We also know that since FB=17, the radius of the circle is 17. So, this means that the diameter is 34, and as AE=2, thus means EB=32.
By the intersecting chords theorem,
However, as distance must be positive, we only consider the positive case, meaning CE=8
Answer: t= -4
Step-by-step explanation:
-6t = 24
t = -4
