Answer:
Step-by-step explanation:
We have the system of equations:
Let's solve by substituting. We know that , so we can substitute in as in the equation .
Simplify this down so that we have on one side of the equation:
Now that we know the value of , we can substitute it in to the equation to find .
Hope this helped!
Answer:
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Step-by-step explanation:
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Answer:
11811 feet
Step-by-step explanation:
Hope it helps!
Answer:
<h3>19,133.067</h3>
Step-by-step explanation:
Volume of the ball (spherical in nature) Vb = 4/3πrb³
Volume of the hole Vh = 4/3πrh³
rb is the radius of the ball
rh is the radius of the hole
If a ball of radius 17 has a round hole of radius 7 drilled through its center, the volume of the resulting solid will be expressed as:
V = Vb - Vh
V = 4/3πrb³ - 4/3πrh³
factor out the like terms;
V = 4/3π(rb³-rh³)
Given
rb = 17
rh = 7
V = 4/3π(17³-7³)
V = 4/3π(4913-343)
V = 4/3π(4570)
V = (4π*4570)/3
V = 57,399.2/3
V = 19,133.067
Hence the volume of the resulting solid is 19,133.067
(5,60)(10,40)
slope = (40 - 60) / (10 - 5) = - 20/5 = -4
y = mx + b
slope(m) = -4
(5,60)...x = 5 and y = 60
now we sub and find b, the y int
60 = -4(5) + b
60 = -20 + b
60 + 20 = b
80 = b
equation is : y = -4x + 80
function form : f(x) = -4x + 80...where x = number of weeks and f(x) = loads of waste removed