9514 1404 393
Answer:
B, D
Step-by-step explanation:
The quadratic expands to ...
(2n -1)² = (2n)² +2(2n)(-1) +(-1)² = 4n² -4n +1
The coefficients can be factored out of the sum, so ...
∑(4n²) = 4∑n² for example
The sum of 60 ones is 60:
![\displaystyle\sum_{n=1}^{60}{1}=1+1+1+\dots+1=60](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Csum_%7Bn%3D1%7D%5E%7B60%7D%7B1%7D%3D1%2B1%2B1%2B%5Cdots%2B1%3D60)
So, the sum can be written as ...
![\displaystyle\sum_{n=1}^{60}{(2n-1)^2}\\\\=\boxed{4\sum_{n=1}^{60}{n^2}-4\sum_{n=1}^{60}{n}+\sum_{n=1}^{60}{1}}\\\\=\boxed{4\sum_{n=1}^{60}{n^2}-4\sum_{n=1}^{60}{n}+60}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Csum_%7Bn%3D1%7D%5E%7B60%7D%7B%282n-1%29%5E2%7D%5C%5C%5C%5C%3D%5Cboxed%7B4%5Csum_%7Bn%3D1%7D%5E%7B60%7D%7Bn%5E2%7D-4%5Csum_%7Bn%3D1%7D%5E%7B60%7D%7Bn%7D%2B%5Csum_%7Bn%3D1%7D%5E%7B60%7D%7B1%7D%7D%5C%5C%5C%5C%3D%5Cboxed%7B4%5Csum_%7Bn%3D1%7D%5E%7B60%7D%7Bn%5E2%7D-4%5Csum_%7Bn%3D1%7D%5E%7B60%7D%7Bn%7D%2B60%7D)
_____
It appears that the key to choosing the correct answers is paying attention to signs.
<em>The</em><em> </em><em>right</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>1</em><em>1</em><em>3</em><em>.</em><em>0</em><em>4</em><em>m</em><em>^</em><em>2</em>
<em>please</em><em> </em><em>see</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em><em> </em><em>for</em><em> </em><em>full</em><em> </em><em>solution</em>
<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em>
Answer:
Total distance covered by the maintenance worker = 9189.16 feet
Step-by-step explanation:
An amusement park has a diameter = 975 feet
Radius of the park = ![\frac{\text{Diameter}}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BDiameter%7D%7D%7B2%7D)
r =
r = 487.5 feet
Since a maintenance worker walks around the park three times, that means he covers the circumference of the circle thrice.
Circumference = 2πr
C = 2π(487.5)
C = 975π feet
He covers this distance thrice,
So total distance covered by him = 3 × (975π)
= 2925π
= 9189.16 feet
Therefore, he walks 9189.16 feet per day.
The answer would be 30 over 4
Answer:
7
Step-by-step explanation:
3 team and 21 players
21÷ 3= 7