Sphere Surface Area = <span> 4 • <span>π <span>• r²
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Sphere Surface Area =
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1,809.5573684677
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Step-by-step explanation:
General equation of a parabola parallel to the x-axis: (y - k)^2 = 4p(x - h).
Vertex = (h, k) = (0, 0)
Directrix: x = h - p = -2.
Since h and k are 0, p must be 2.
Therefore the equation is y^2 = 8x.
Answer:
Step-by-step explanation:
Area of a triangle = 1/2 * Base * height | Plug in values
82.5 = 1/2 * 15 * height | Multiple both sides by 2
165 inches = 15 * height | Divide both sides by 15
Height = 165/15 = 11 inches
We have to see which model (quadratic or linear) best represents the data.
We can use software to fit this data set.
Linear model:
Quadratic model:
The quadratic model has a slightly better fit than the linear model.
But the value of R² = 0.176 shows that the fit is very weak, so we can conclude that this is not a good model for the data.
Answer:
Quadratic model, 0.176.
No, 0.176 is a very low R² value.