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Darina [25.2K]
3 years ago
8

What is the volume of a sphere with radius of 16 inches? Use 3.14 for π. 200.96 in3 17,148.59 in3 1071.79 in3 4287.15 in3

Mathematics
2 answers:
Deffense [45]3 years ago
7 0

Answer:

The answer is 17148.59 in^3

Step-by-step explanation:

I just did the quiz.

crimeas [40]3 years ago
3 0

Answer:

17148.59 in^3

Step-by-step explanation:

This volume is calculated as follows:  V = (4/3)(3.14)(16 in)^3 = 17148.95 in^3

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Read 2 more answers
A piecewise function g(x) is defined by g(x)={x^3-4x for x&lt;2, -log_4(x-1)+2 for x&gt;=2
storchak [24]

The x-intercepts of the piecewise function are 1.59 and 17 and the intervals where g(x) is positive are (-2,0) and [2,17)

<h3>The graph of the function</h3>

The piecewise function is given as:

g(x) = \left[\begin{array}{cc}x^3-4x &x < 2\\-\log_4(x - 1) + 2 &x \ge 2\end{array}\right

See attachment for the graph of the piecewise function.

<h3>The x-intercepts of the piecewise function</h3>

This is the point where the piecewise function crosses the x-axis.

From the attached graph, the graph crosses the x-axis at x = -2, x = 0 and x = 17

Hence, the x-intercepts of the piecewise function are -2, 0 and 17

<h3>The intervals where g(x) is positive</h3>

This is the range of x value where g(x) > 0

From the attached graph, g(x)> 0 between x = -2 & x = 0 and between x = 2 (inclusive) & x = 17

Hence, the intervals where g(x) is positive are (-2,0) and [2,17)

Read more about piecewise function at:

brainly.com/question/11827078

#SPJ1

3 0
2 years ago
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