Answer:
D-70.81
Step-by-step explanation:
I did the math, this should be correct.
Good luck!
Answer:
B. 2010.62 ft³
Step-by-step explanation:
The formula for the volume of a cylinder is ...
V = πr²h . . . . . where r is the radius and h is the height
Filling in the numbers and doing the arithmetic, we get ...
V = π(8 ft)²(10 ft) = 640π ft³ ≈ 2010.6193 ft³ ≈ 2010.62 ft³
The volume of the cylinder is about 2010.62 ft³.
Answer:
The height at time of 12.1 seconds is approximately 729.2562 feet
Step-by-step explanation:
The general form of the quadratic regression equation is y = A + Bx + Cx²
The quadratic regression formula is given as follows;
![B = \dfrac{S_{xy}S_{x'x'}-S_{x'y}S_{xx'}}{S_{xx}S_{x'x'} -(S_{xx'})^2}](https://tex.z-dn.net/?f=B%20%3D%20%5Cdfrac%7BS_%7Bxy%7DS_%7Bx%27x%27%7D-S_%7Bx%27y%7DS_%7Bxx%27%7D%7D%7BS_%7Bxx%7DS_%7Bx%27x%27%7D%20-%28S_%7Bxx%27%7D%29%5E2%7D)
![C = \dfrac{S_{x'y}S_{xx}-S_{xy}S_{xx'}}{S_{xx}S_{x'x'} -(S_{xx'})^2}](https://tex.z-dn.net/?f=C%20%3D%20%5Cdfrac%7BS_%7Bx%27y%7DS_%7Bxx%7D-S_%7Bxy%7DS_%7Bxx%27%7D%7D%7BS_%7Bxx%7DS_%7Bx%27x%27%7D%20-%28S_%7Bxx%27%7D%29%5E2%7D)
![A = \bar y - B \bar x - C \bar {x^2}](https://tex.z-dn.net/?f=A%20%3D%20%5Cbar%20y%20-%20B%20%5Cbar%20x%20-%20C%20%5Cbar%20%7Bx%5E2%7D)
![S_{xx} = \Sigma (x_i - \bar x)^2](https://tex.z-dn.net/?f=S_%7Bxx%7D%20%3D%20%5CSigma%20%28x_i%20-%20%5Cbar%20x%29%5E2)
![S_{xy} = \Sigma (x_i - \bar x)(y_i - \bar y)](https://tex.z-dn.net/?f=S_%7Bxy%7D%20%3D%20%5CSigma%20%28x_i%20-%20%5Cbar%20x%29%28y_i%20-%20%5Cbar%20y%29)
![S_{xx'} = \Sigma (x_i - \bar x)(x^2_i - \bar {x^2})](https://tex.z-dn.net/?f=S_%7Bxx%27%7D%20%3D%20%5CSigma%20%28x_i%20-%20%5Cbar%20x%29%28x%5E2_i%20-%20%5Cbar%20%7Bx%5E2%7D%29)
![S_{x'x'} = \Sigma (x^2_i - \bar {x^2})^2](https://tex.z-dn.net/?f=S_%7Bx%27x%27%7D%20%3D%20%5CSigma%20%28x%5E2_i%20-%20%5Cbar%20%7Bx%5E2%7D%29%5E2)
![S_{x'y} = \Sigma (x^2_i - \bar {x^2})(y_i - \bar {y})](https://tex.z-dn.net/?f=S_%7Bx%27y%7D%20%3D%20%5CSigma%20%28x%5E2_i%20-%20%5Cbar%20%7Bx%5E2%7D%29%28y_i%20-%20%5Cbar%20%7By%7D%29)
Solving using an online quadratic regression calculator, gives;
A = 2.5643259
B = 246.6374865
C = -15.41986006
Substituting gives;
y = 2.5643259 + 246.6374865·x -15.41986006·x²
When time, x = 12.1, we have;
y = 2.5643259 + 246.6374865×12.1 -15.41986006×12.1²≈ 729.2562 feet
The height at time of 12.1 seconds ≈ 729.2562 feet.