Answer:
You do pi times radius squared
Answer:
<u></u>
Explanation:
The text and the model are garbled.
This is the question amended:
<em />
<em>Hyun Woo is riding a ferris wheel. H(t) models his height (in m) above the ground, t seconds after the ride starts. Here, t is entered in radians.</em>
<em>H(t) = -10 cos(2π/150 t)+10</em>
<em />
<em>When does Hyun Woo first reach a height of 16 m?</em>
<em />
<h2>Solution</h2>
<em />
When <em>Hyun Woo reaches a height of 16 m</em> the <em>model </em>states:
- <em>16 = -10 cos(2π/150 t)+10</em>
<em />
Then you must find the lowest positive value of t that is a solution of the equation.
Solve the equation:
- <em>16 = -10 cos(2π/150 t)+10</em>
- t = 52.86s ≈ 53 s ← answer
1)
is simplified into ![=-x-2](https://tex.z-dn.net/?f=%3D-x-2)
2)
is simplified into ![5uv-2\\](https://tex.z-dn.net/?f=5uv-2%5C%5C)
3)
is simplified into ![-9x-11](https://tex.z-dn.net/?f=-9x-11)
4)
is simplified into ![x^2-x-2](https://tex.z-dn.net/?f=x%5E2-x-2)
5)
is simplified into ![-8t^2+13](https://tex.z-dn.net/?f=-8t%5E2%2B13)
Step-by-step explanation:
We need to solve the polynomials.
1) ![(-2x+4)+(x-6)](https://tex.z-dn.net/?f=%28-2x%2B4%29%2B%28x-6%29)
Solving:
![(-2x+4)+(x-6)\\=-2x+4+x-6\\Combining\,\,like\,\,terms:\\=-2x+x+4-6\\=-x-2](https://tex.z-dn.net/?f=%28-2x%2B4%29%2B%28x-6%29%5C%5C%3D-2x%2B4%2Bx-6%5C%5CCombining%5C%2C%5C%2Clike%5C%2C%5C%2Cterms%3A%5C%5C%3D-2x%2Bx%2B4-6%5C%5C%3D-x-2)
So,
is simplified into ![=-x-2](https://tex.z-dn.net/?f=%3D-x-2)
2) ![(uv-3)+(4uv+1)](https://tex.z-dn.net/?f=%28uv-3%29%2B%284uv%2B1%29)
Solving:
![(uv-3)+(4uv+1)](https://tex.z-dn.net/?f=%28uv-3%29%2B%284uv%2B1%29)
Expanding:
![=uv-3+4uv+1\\Combining\,\,like\,\,terms:\\=uv+4uv-3+1\\=5uv-2\\](https://tex.z-dn.net/?f=%3Duv-3%2B4uv%2B1%5C%5CCombining%5C%2C%5C%2Clike%5C%2C%5C%2Cterms%3A%5C%5C%3Duv%2B4uv-3%2B1%5C%5C%3D5uv-2%5C%5C)
So,
is simplified into ![5uv-2\\](https://tex.z-dn.net/?f=5uv-2%5C%5C)
3) ![(11x-8)-(2x+3)](https://tex.z-dn.net/?f=%2811x-8%29-%282x%2B3%29)
Solving:
![(11x-8)-(2x+3)](https://tex.z-dn.net/?f=%2811x-8%29-%282x%2B3%29)
Expanding:
![=11x-8-2x-3\\Combining\,\,like\,\,terms:\,\,\\=11x-2x-8-3\\=-9x-11](https://tex.z-dn.net/?f=%3D11x-8-2x-3%5C%5CCombining%5C%2C%5C%2Clike%5C%2C%5C%2Cterms%3A%5C%2C%5C%2C%5C%5C%3D11x-2x-8-3%5C%5C%3D-9x-11)
So,
is simplified into ![-9x-11](https://tex.z-dn.net/?f=-9x-11)
4) ![(x^2-4)-(x-2)](https://tex.z-dn.net/?f=%28x%5E2-4%29-%28x-2%29)
Solving:
![(x^2-4)-(x-2)](https://tex.z-dn.net/?f=%28x%5E2-4%29-%28x-2%29)
Expanding:
![=x^2-4-x+2\\Combining\,\,like\,\,terms:\\=x^2-x-4+2\\=x^2-x-2](https://tex.z-dn.net/?f=%3Dx%5E2-4-x%2B2%5C%5CCombining%5C%2C%5C%2Clike%5C%2C%5C%2Cterms%3A%5C%5C%3Dx%5E2-x-4%2B2%5C%5C%3Dx%5E2-x-2)
SO,
is simplified into ![x^2-x-2](https://tex.z-dn.net/?f=x%5E2-x-2)
5) ![(12-3t-7t^2)+(1+3t-t^2)](https://tex.z-dn.net/?f=%2812-3t-7t%5E2%29%2B%281%2B3t-t%5E2%29)
Solving:
![(12-3t-7t^2)+(1+3t-t^2)](https://tex.z-dn.net/?f=%2812-3t-7t%5E2%29%2B%281%2B3t-t%5E2%29)
Expanding:
![=12-3t-7t^2+1+3t-t^2\\Combining\,\,like\,\,terms:\\=12+1-3t+3t-7t^2-t^2\\=13+0t-8t^2\\=-8t^2+13](https://tex.z-dn.net/?f=%3D12-3t-7t%5E2%2B1%2B3t-t%5E2%5C%5CCombining%5C%2C%5C%2Clike%5C%2C%5C%2Cterms%3A%5C%5C%3D12%2B1-3t%2B3t-7t%5E2-t%5E2%5C%5C%3D13%2B0t-8t%5E2%5C%5C%3D-8t%5E2%2B13)
So,
is simplified into ![-8t^2+13](https://tex.z-dn.net/?f=-8t%5E2%2B13)
Keywords: Solving Polynomials
Learn more about solving Polynomials at:
#learnwithBrainly
Answer:
2.88
Step-by-step explanation:
Data provided in the question
= Population standard deviation = 7 miles per hour
Random sample = n = 32 vehicles
Sample mean =
= 64 miles per hour
98% confidence level
Now based on the above information, the alpha is
= 1 - confidence level
= 1 - 0.98
= 0.02
For
= 0.01
= 2.326
Now the margin of error is
![= Z \alpha_1_2 \times \frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=%3D%20Z%20%5Calpha_1_2%20%5Ctimes%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
![= 2.326 \times \frac{7}{\sqrt{32}}](https://tex.z-dn.net/?f=%3D%202.326%20%5Ctimes%20%5Cfrac%7B7%7D%7B%5Csqrt%7B32%7D%7D)
= 2.88
hence, the margin of error is 2.88
Answer:
i think its c
Step-by-step explanation: