Answer:
b/a
Step-by-step explanation:
Given,(b^-2)/a*(b^-3)
or,(b^-2+3)/a
or,b/a
Answer:
a non repeating decimal
Step-by-step explanation:
answer from alexa device
Problem 2
Part (a)
The 3D shape formed when rotating around the y axis forms a pencil tip
The shape formed when rotating around the x axis is a truncated cone turned on its side.
------------
Part (b)
Check out the two diagrams below.
============================================================
Problem 3
Answer: Choice A and Choice C
-----------------------
Explanation:
Think of stacks of coins. Let's say we had 2 stacks of 10 quarters each. The quarters are identical, so they must produce identical volumes. Those sub-volumes then add up to the same volume for each stack. Now imagine one stack is perfectly aligned and the other stack is a bit crooked. Has the volume changed for the crooked stack? No, it hasn't. We're still dealing with the same amount of coins and they yield the same volume.
For more information, check out Cavalieri's Principle.
With all that in mind, this leads us to choice C. If the bases are the same, and so are the heights, then we must be dealing with the same volumes.
On the other hand, if one base is wider (while the heights are still equal) then the wider based block is going to have more volume. This leads us to choice A.
Answer:
B) 1296 D) 729
Step-by-step explanation:
It's pretty straight forward, just put the values into your calculator. The question is asking to evaluate instead of simplifying, so this works. If you don't have a calculator, here are some tricks. Do them step by step in your head slowly if you have to, for fractions do them alone, and then divide them. Also in D, don't let the second value of (3)3)0 scare you, any exponent with a 0 in it is automatically 1! Hope I could help.
You add up 1+1+1+1+2 and you get 6. You then subtract 6 by 200 and your answer is -194