If Pipe 1 (P1) takes x hours to fill the pool, Pipe 2 (P1) and pipe 2 (P2) takes (x-9) hours to fill the pool, and pipe 2 (P2) takes (x+7) hours to fill the pool.
That is,
P1 = x hrs
P1+P2 = (x-9) hrs
P3 = (x+7) hrs
In 1 hour, P1 fills 1/x of the pool, P1+P2 fills 1/(x-9) of the pool and P2 fills 1/(1+7) of the pool.
Therefore,
1/x+1/(1+7) = 1/(x-9) => ((x+7)+x)/(x)(x+7)=1/(x-9) => (2x+7)/x^2+7x = 1/(x-9) => (2x+7)(x-9)=x^2+7x => x^2-18x-63 =0
Solving for x
x= (-b+/- sqrt (b^2-4ac)/2a, where a=1, b=18, and c=63
Substituting;
x1=21 and x2=-3 (the negative x is ignored as it does not make sense).
Therefore, x = 21
This means,
P1 takes 21 hours to fill the pool
P1+P2 takes (21-9) hours = 12 hours to fill the pool while P3 takes (21+7) hours = 28 hours
Answer: $40
Step-by-step explanation:
36÷0.9=40
Answer:
Step-by-step explanation:
Given that a person’s body surface area (BSA) (in meters squared) using the formula
We are to calculate the rate of change of BSA with respect to mass for a person of constant height h = 180 from m =70 to m =80
For this we calculate BSA for 80 kg and BSA for 70 kg first
Rate of change =
=
i.e. rate of change per 10 kg is 0.129
No BSA does not increase more rapidly
Answer:
Pi also appears in the calculations to determine the area of an ellipse and in finding the radius, surface area, and volume of a sphere.
Step-by-step explanation:
The number represented by pi (π) is used in calculations whenever something round (or nearly so) is involved, such as for circles, spheres, cylinders, cones, and ellipses. Its value is necessary to compute many important quantities about these shapes, such as understanding the relationship between a circle’s radius and its circumference and area (circumference=2πr; area=πr²).
Our world contains many round and near-round objects; finding the exact value of pi helps us build, manufacture, and work with them more accurately.
Answer:
y = 8x -25
Step-by-step explanation:
The two-point form of the equation of a line can be used.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (7-(-1))/(4-3)(x -3) +(-1)
y = 8(x -3) -1
y = 8x -25 . . . . slope-intercept form of the equation
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We don't know what you're starting with, so we don't know how to "complete the equation." Perhaps the above equation is sufficient for the task.