Answer:
2580 ft-lb
Step-by-step explanation:
Water leaks out of the bucket at a rate of 
Work done required to pull the bucket to the top of the well is given by integral
Here, function 
is the total weight of the bucket and water 
feet above the bottom of the well. That is,
is the initial height and 
is the maximum height of well. That is,
Find the work done as,
![&\left.=46x-0.05 x^{2}\right]_{0}^{60}](https://tex.z-dn.net/?f=%26%5Cleft.%3D46x-0.05%20x%5E%7B2%7D%5Cright%5D_%7B0%7D%5E%7B60%7D)
Hence, the work done required to pull the bucket to the top of the well is 
y = mx + b
When a function is reflected over the y-axis, the b (2) stays the same but the slope (m) changes to its opposite sign.
since the slope is negative in this equation, it will become positive.
so the new fuction will be
y = 5x + 2
Answer:
1.25 seconds
Step-by-step explanation:
Cosine is a maximum at cos(0) = 1, and a minimum at cos(π) = -1.
At the maximum:
8π/5 t = 0
t = 0
At the minimum:
8π/5 t = π
t = 5/8
t = 0.625
The time from maximum to minimum is 0.625 seconds. Therefore, the time from minimum back to maximum is also 0.625 seconds. So the total time is:
0.625 + 0.625 = 1.25
Answer:
1: 71 pounds
2: 14 jellybeans
Step-by-step explanation:
1:
680 - 183 = 497
497 / 7 = 71
2:
Esther had (6 times)-7
77 + 7 = 84
84 / 6 = 14
