Answer:
The answer is 100.5 
.
Step-by-step explanation:
To solve for the volume of the cylinder, use the cylinder volume formula, which is V = 
.
Next, plug in the information given from the problem, and the formula will look like V = 
.
Then, solve the equation, and the answer will be 100.5 .
Answer:
Step-by-step explanation:
As per definition of the function, every x- value (input) has exactly one corresponding y-value (output)
<u>We can see on the table:</u>
- x = 3.45 and y= 1.72
- x = 3.45 and y = 3.36
Two same input values with different outputs.
So this not a function
A) 5:00
<span>At 00 minutes, the minute hand is point straight up. That is one quarter turn of the entire circle. One-fourth of 2π radians is 1/2 π, or π/2 </span>
b) 7:15
At 15 minutes, the minute hand is pointing straight to the right, along the imaginary positive x-axis, so it has turned through none of the circle. 0 radians.
c) 3:30
<span>This one isn't as clean as the others. Let's first find the 35 minute position: it occurs at hour number 7. Identify that measuring from 3 (positive x-axis, measuring counter clockwise) you have to turn through 40 minutes worth of clock. 40 minutes represents 40/60 of an entire clock, which reduces to 2/3. 2/3 of all the radians in a circle (2π of them) is 4/3π, or 4π/3.
I hope my answer has come to your help. Thank you for posting your question here in Brainly.
</span>
<h3>
Answer: 6</h3>
===========================================================
Explanation:
Rule: If a set has n elements in it, then it will have 2^n subsets.
For example, there are n = 3 elements in the set {a,b,c}. This means there are 2^n = 2^3 = 8 subsets. The eight subsets are listed below.
- {a,b,c} .... any set is a subset of itself
- {a,b}
- {a,c}
- {b,c}
- {a}
- {b}
- {c}
- { } ..... the empty set
Subsets 2 through 4 are subsets with exactly 2 elements. Subsets 5 through 7 are singletons (aka sets with 1 element). The last subset is the empty set which is a subset of any set. You could use the special symbol 
to indicate the empty set.
For more information, check out concepts relating to the power set.
-------------------
The problem is asking what value of n will make 2^n = 64 true.
You could guess-and-check your way to see that 2^n = 64 has the solution n = 6.
Another approach is to follow these steps.
Which is fairly trivial.
Or you can use logarithms to solve for the exponent.
Due to rounding error, we don't land exactly on 6 even though we should.
If the diameter is 16, then the radius is 8.
A=(pi) r^2
8*8=64
64*3.14159265359=201.06
201.06 is your answer.
-TheOneandOnly003
