Answer:
(a+11)(a-1)
Step-by-step explanation:
Answer:
It is 150.
Step-by-step explanation:
This clarifies it https://artofproblemsolving.com/wiki/index.php/2020_AMC_8_Problems/Problem_23
Answer:
Step-by-step explanation:
answer: y = -5 + 19
We can use the point-slope formula to find an equation to solve this problem. The point-slope formula states: (y−y1)=m(x−x1)
Where m is the slope and (x1y1) is a point the line passes through.
Susbtituting the slope and values from the point from the problem gives:
(y−−1)=−5(x−4)
(y+1)=−5(x−4)
We can also solve this for the slope-intercept form. The slope-intercept form of a linear equation is: y=mx+b
Where m is the slope and b is the y-intercept value.
Substitute the slope from the problem for m and the values of the point from the problem for x and y and solve for b:
−1=(−5⋅4)+b
−1=−20+b
20−1=20−20+b
19=0+b
19=b
We can substitute for m and b in the formula to find the equation:
y=−5x+19
Answer:
Ouestion 5 answers
1)8.5
2)150
3)8
4)15
Step-by-step explanation:
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 