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Answer: 30 feet per second
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x = diameter, y = speed of water
y varies inversely with respect to x, so, y = k/x for some constant k
If x = 0.6 and y = 5 pair up, then y = k/x turns into 5 = k/0.6 which solves to k = 3 when you multiply both sides by 0.6
So the equation y = k/x turns into y = 3/x
Now plug in the diameter x = 0.1 to find the speed to be...
y = 3/x
y = 3/0.1
y = 30 feet per second
Answer:
x < -1.5 U x > 9.6
Step-by-step explanation:
12x + 7 < -11
x < -1.5
5x - 8 > 40
5x > 48
x > 9.6
Answer:
d for the first and c for the second
Step-by-step explanation:
1. both are solid lines so it is or equal to something. the first line is going down by -3 and crosses the y axis at -3 so it is _>_ - 3x-3
the second line is going down at -1/2 and crosses the y axis at 2 so it is _<_ -1/2x+2
2. The point where the two lines cross is at (2.5, -6.5)
The standard equation of a circle is given by:
(x-a)²+(y-b)²=r²
where:
(a,b) is the center and r is the radius.
Given that (a,b) is (-8,-3) and r=2 units
then the equation of the circle will be:
(x-(-8))²+(y-(-3))²=2²
simplifying the above we get:
(x+8)²+(y+3)²=4
