What is the square root of 3x plus 16 and equal to 7
1 answer:
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Answer:
The equation relates the variables is y = 8x ⇒ D
Step-by-step explanation:
If x and y vary directly (y ∝ x), then y = k x, where
- k is the constant of variation
- k can be found using the initial value of x and y
∵ The variable x and y vary directly
∴ y ∝ x
→ By using the rule above
∴ y = k x
∵ y = 40 when x = 5
∴ The initial values of x and y are x = 5 and y = 40
→ Substitute them in the equation above to find k
∵ 40 = k(5)
∴ 40 = 5k
→ Divide both sides by 5
∵ =
∴ 8 = k
→ Substitute the value of k in the equation above
∴ y = 8x
∴ The equation relates the variables is y = 8x
Answer:
2580 ft-lb
Step-by-step explanation:
Water leaks out of the bucket at a rate of
Work done required to pull the bucket to the top of the well is given by integral
Here, function is the total weight of the bucket and water
feet above the bottom of the well. That is,
is the initial height and
is the maximum height of well. That is,
Find the work done as,
Hence, the work done required to pull the bucket to the top of the well is