Answer:
The volume is about 4.24 cm^3.
Step-by-step explanation:
From the question we are told that:
Diameter
Radius 
Height risen
Generally the equation for Volume of a Key is mathematically given by
Since Volume of a cylinder is Given as

Therefore


Correct Option A
The volume is about 4.24 cm^3.
Answer:
f(x) = 2(x -3)² +5 or f(x) = 2x² -12x +23
Step-by-step explanation:
The equation of a quadratic is easily written in vertex form when the coordinates of the vertex are given. Here, the point one horizontal unit from the vertex is 2 vertical units higher, indicating the vertical scale factor is +2.
__
<h3>vertex form</h3>
The vertex form equation for a parabola is ...
f(x) = a(x -h)² +k . . . . . . vertex (h, k); vertical scale factor 'a'
<h3>equation</h3>
For vertex (h, k) = (3, 5) and vertical scale factor a=2, the vertex form equation of the parabola is ...
f(x) = 2(x -3)² +5 . . . . . vertex form equation
Expanded to standard form, this is ...
f(x) = 2(x² -6x +9) +5
f(x) = 2x² -12x +23 . . . . . standard form equation
<span>a. 17th percentile
First, take the data and sort it in increasing order, getting: 98 101 117 121 122 127 130 137 138 143 145 152.
The score of 117 is greater than 2 of the scores out of a total of 12 scores. So the percentile rank is 2/12 = 0.1666667 = 16.66667, or the 17th percentile. Therefore the answer is "a. 17th percentile"</span>
Answer is 128. 90-38=52 52+180= 232. 360-232=128. I hope this helps
Answer:
There are in total 3 maximum and minimum points of f(x)
Step-by-step explanation:
To find the number of stationary points (maximum and minimum points) in any function (f(x)), we need to find for what values of x does the derivative of f(x) equal to 0.
mathematically, for how many values of x does f'(x) = 0


since the factors can be separately solved we can write




Since there are 3 answers of x for which f'(x) = 0, we can say that the there are a total of 3 stationary (maximum or minimum) points in f(x).