Answer:

Step-by-step explanation:
we know that
The volume of a cylinder is equal to

we have
----> the radius is half the diameter
substitute the values

Answer:
-3.7, -1.9, -1/2, 1 1/3, 1.6, 2 1/3
Step-by-step explanation:
I believe this is correct, if not feel free to let me know and I will fix it. I'm sorry in advance if this answer is wrong.
Answer:
Step-by-step explanation:
Starting with the parent function, x was replaced by (x + 5), indicating that the graph of the new function is that of the old function shifted 5 units to the LEFT. That +2 shifts this result UP by 2 units.
The volume of the shaded region is 1650 cubic feet.
<u>Answer:</u>
The length of a paper clip chain is directly proportional to the number of paper clips. If a chain with 65 paper clips has a length of 97.5 inches then the length of chain with 14 paper clips is 21 inches.
<u>Solution:</u>
Given that the length of a paper clip chain is directly proportional to the number of paper clips. Directly propotional means when the length of paper clip increases, then the number of paper clips also increases in same ratio.
Hence, by above definition, we get
------- eqn 1
From question, for a chain with 65 paper clips has a length of 97.5 inches, we get

Similarly, for a chain with 14 paper clips with length to be found, we get

Now by using eqn 1, we can calculate the length of 14 paper clips is,

Rearranging the terms we get,


Hence the length of chain with 14 paper clips is 21 inches.