Given:
radius of a cylindrical construction pipe is 3 ft
lenghtis 25ft long
Required:
what is it’s volume
Explanation:
volume of cylinder:
Required answer:
Answer:
(1)-
b1 =~3.4
bo= ~ 82.8
(2)- ý=[82.8]+[3.4] x
(3)- The change in annual sales ($1000) for every year of experience is= 3.4
(4)-r^2=~ 0.847
Estimated annual sales= $110514
Step-by-step explanation:
(1)- b1 = 3.4606
=~3.4
bo = 82.8296
= ~ 82.8
(2)-
ý=[82.8]+[3.4] x
(3)-The change in annual sales ($1000) for every year of experience is= 3.4
(4)- r^2 = 0.84776
=~ 0.847
Percentage of the variation in annual sales can be explained by the years of experience
of the salesperson 84.7%.
Estimated annual sales
= 82.8296 + 3.4606 × 8 ($ 1000).
= 110.5144 ( $1000)
= $ 110514:4
= $110514
The graph at option 1 shows the given inequality y < x² + 1. The domain and range of the given inequality is {x: x ∈ (-∞, ∞)} and {y: y ∈ [1, ∞)}.
<h3>How to graph an inequality?</h3>
The steps to graph an inequality equation are:
- Solve for the variable y in the given equation
- Graph the boundary line for the inequality
- Shade the region that satisfies the inequality.
<h3>Calculation:</h3>
The given inequality is y < x² + 1
Finding points to graph the boundary line by taking y = x² + 1:
When x = -2,
y = (-2)² + 1 = 4 + 1 = 5
⇒ (-2, 5)
When x = -1,
y = (-1)² + 1 = 2
⇒ (-1, 2)
When x = 0,
y = (0)² + 1 = 1
⇒ (0, 1)
When x = 1,
y = (1)² + 1 = 2
⇒ (1, 2)
When x = 2,
y = (2)² + 1 = 5
⇒ (2, 5)
Plotting these points in the graph forms an upward-facing parabola.
So, all the points above the vertex of the parabola satisfy the given inequality. Thus, that part is shaded.
From this, the graph at option 1 is the required graph for the inequality y < x² + 1. The boundary line is dashed since the inequality symbol is " < ".
Learn more about graphing inequalities here:
brainly.com/question/371134
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