Diameter of each hemispheral holes = the diameter of a full sphere = side length of cube = 2 units.
<h3>What is a Hemisphere?</h3>
A hemishpere is half of a sphere. Thus, two hemispheres makes one full sphere.
Given the image as shown below, since the identical hemispheral holes are centered at the center of each fce and they touch each other at only one point, it means that two hemisphere meet to make one full sphere.
Therefore, the diameter of a full sphere = side length of cube.
Thus, diameter of each hemispheral holes = the diameter of a full sphere = side length of cube = 2 units.
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Based on the characteristics of <em>linear</em> and <em>piecewise</em> functions, the <em>piecewise</em> function
is shown in the graph attached herein. (Correct choice: A)
<h3>How to determine a piecewise function</h3>
In this question we have a graph formed by two different <em>linear</em> functions. <em>Linear</em> functions are polynomials with grade 1 and which are described by the following formula:
y = m · x + b (1)
Where:
- x - Independent variable.
- y - Dependent variable.
- m - Slope
- b - Intercept
By direct observation and by applying (1) we have the following <em>piecewise</em> function:

Based on the characteristics of <em>linear</em> and <em>piecewise</em> functions, the <em>piecewise</em> function
is shown in the graph attached herein. (Correct choice: A)
To learn more on piecewise functions: brainly.com/question/12561612
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Answer:
5x
Step-by-step explanation:
1 plus 4 is 5 and everyone is ordering the same thing, which is known as any variable, so in this case, x. So, you get 5x
Answer:
-19
Step-by-step explanation:
1) substitute a with 2 and b with 5
(3 + 2)^2 * (4-5) + √36
2) solve the brackets and the square root
(5^2) * (-1) + 6
3) solve the power
25 *(-1) + 6
4) solve the multiplication
-25 + 6
5) solve the sum
- 19