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 = 14
Step-by-step explanation:
It's given in the question that a point R lies between the two points Q and S.
Therefore, by addition postulate of segments,
QS = QR + RS
Now we substitute the values of the given segments,
3x - 5 = (35 - x) + (3x - 26)
3x - 5 = -x + 3x + 35 - 26
3x - 5 = 2x + 9
3x - 2x = 5 + 9
x = 14
Therefore, the value of x is 14.
Answer:
C = 97.20
Step-by-step explanation:
Given that C varies as r² then the equation relating them is
C = kr² ← k is the constant of variation
To find k use the condition C = 202.80 when r = 2.6
k = = = 30
C = 30r² ← equation of variation
When r = 1.8, then
C = 30 × 1.8² = 97.20
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Answer:
B: y = 2x² - 16x + 40
Step-by-step explanation:
You can find this simply by expanding the given function:
y = 2(x - 4)² + 8
y = 2(x² - 8x + 16) + 8
y = 2x² - 16x + 32 + 8
y = 2x² - 16x + 40