The age of a man whose normal blood pressure measures 123 mm of hg
9 years
<h3>What is Quadratic equation ?</h3>
A quadratic equation as an equation of degree 2, meaning that the highest exponent of this function is 2. The standard form of a quadratic equation is y = a
+ bx + c, where a, b, and c are numbers and a cannot be 0
P(A) = 0.006
- 0.02a + 120
123 = 0.006- 0.02a + 120
0=0.006
- 0.02a - 3
you can use the quadratic equation formula to solve for the man's age.
A = (-b ± (
) ) / (2a)
A = (0.02 ±
/ (2*0.006)
A = (0.02 ±
) / 0.012
A = 9 , -5.67
Age of the man will be 9 years
To learn more about quadratic equation here
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Answer:
The work done in pulling the bucket to the top of the well is 3,360 ft-lb
Explanation:
Given
Weight = 6 lb
Depth = 80ft
Weight of Water = 40lb
Rate = 2ft/s
Leak Rate = 0.2ft/s
Calculating Workdone to lift the bucket
Work = Force * Distance
Work = 6 * 80
Work = 480ft-lb
At time t, the bucket is xi = 2t above the original depth of 80ft.
t = ½xi
But it now holds 40lb - 0.2t lb of water
= 40 - 0.2(½xi)
= 40 - 0.1xi.
This is the size of the water when it is x ft above the original depth.
To move this amount of water, we need (40 - 0.1xi)∆x
So, W = ∫(40 - 0.1xi)∆x {1,n}
Where n = 80
W = ∫(40 - 0.1x)dx {0,80}
W = 40x - ½(0.1x²) {0,80}
W = 40x - x²/20 {0,80}
W = 40(80) - 80²/20
W = 3200 - 320
W = 2880 ft-lb
The work done in pulling the bucket to the top of the well = 2880 + 480
= 3,360 ft-lb
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