The volume of a cone whose radius is 3 1 / 2 cm and vertical height is 24 cm is 307.72 cm³
<h3>Volume of a cone</h3>
The volume of a cone can be represented as follows:
volume = 1 / 3 πr²h
where
Therefore,
r = 3 1 / 2 cm = 7 / 2 cm
h = 24 cm
Hence,
volume = 1 / 3 × π × (7 / 2 )² × 24
volume of a cone = 1 / 3 × π × 49 / 4 × 24
volume of the cone = 1 / 3 × π × 1176 / 4
volume of the cone = 1176 / 12 π
volume of the cone = 98π
volume of the cone = 307.72 cm³
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Answer:
D
Step-by-step explanation: ny line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
x
y
0
1
1
3
0
Graph the line using the slope and the y-intercept, or the points.
Slope:
−
3
y-intercept:
(
0
,
1
)
x
y
0
1
1
3
0
Answer:
Z + 12
Step-by-step explanation:
Z-(-12)
Z + 12
Double negative turns into positive
Answer:
Check below, please
Step-by-step explanation:
Step-by-step explanation:
1.For which values of x is f '(x) zero? (Enter your answers as a comma-separated list.)
When the derivative of a function is equal to zero, then it occurs when we have either a local minimum or a local maximum point. So for our x-coordinates we can say

2. For which values of x is f '(x) positive?
Whenever we have

then function is increasing. Since if we could start tracing tangent lines over that graph, those tangent lines would point up.

3. For which values of x is f '(x) negative?
On the other hand, every time the function is decreasing its derivative would be negative. The opposite case of the previous explanation. So

4.What do these values mean?

5.(b) For which values of x is f ''(x) zero?
In its inflection points, i.e. when the concavity of the curve changes. Since the function was not provided. There's no way to be precise, but roughly
at x=-4 and x=4