Answer:25.5m^3
Step-by-step explanation:
radius(r)=2.3m
π=3.14
volume of hemisphere=2/3 x π x r^3
Volume=2/3 x 3.14x(2.3)^3
Volume=2/3 x 3.14 x 2.3 x 2.3 x 2.3
volume=(2x3.14x2.3x2.3x2.3) ➗ 3
Volume=76.40876 ➗ 3
Volume=25.5
Answer:
{8, 24, 72, 216, 648}
Step-by-step explanation:
Geometric sequence:
In a geometric sequence, the quotient of consecutive terms is always the same, that is, each term is the previous term multiplied by the common ratio.
In this question:
First element is 8, common ratio of 3. So
Second term: 8*3 = 24
Third term: 24*3 = 72
Fourth term: 72*3 = 216
Fifth term: 216*3 = 648
So the answer is {8, 24, 72, 216, 648}
Answer:
2.25
Step-by-step explanation:
Answer:

Step-by-step explanation:
Slope-intercept form of a <u>linear equation</u>:

where:
- m is the slope.
- b is the y-intercept (where the line crosses the y-axis).
<u>Slope formula</u>

<u>Equation 1</u>
<u />
Define two points on the line:
<u>Substitute</u> the defined points into the slope formula:

From inspection of the graph, the line crosses the y-axis at y = 1 and so the y-intercept is 1.
Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:

<u>Equation 2</u>
<u />
Define two points on the line:
<u>Substitute</u> the defined points into the slope formula:

From inspection of the graph, the line crosses the y-axis at y = -4 and so the y-intercept is -4.
Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:

<u>Conclusion</u>
Therefore, the system of linear equations shown by the graph is:

Learn more about systems of linear equations here:
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