Identify the variation as direct, inverse, joint or combined. y = 7x
2 answers:
Answer:
y =7x , follows the direct variation.
Step-by-step explanation:
Direct variation states that a relationship between two variables in which one is a constant multiple of the other. In other words, when one variable changes the other changes in proportion to the first.
If y is directly proportional to x i.e, or
y = kx .....[1] where k is the constant variation
Given : y = 7x
On comparing this with equation [1] we get;
k(constant of variation) = 7
therefore,
it follows the direct variation as or
y = 7x where k =7 is the constant of variation.
Therefore, y =7x follows the direct variation.
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Answer:
0.42ft/mn
Step-by-step explanation:
we have the following information to answer this question
dv/dt = 40 feet
height = 11 ft
volume = 1/3πr²h
= 1/3π(h/2)²h
= 1/3πh³/4
= πh³/12
dv/dt = π3h²/12
= πh²/4
dh/dt = 4/πh²dv/dt
= 4(40)÷22/7(11)²
= 160/380.29
= 0.42 ft/min
The height of the pile is therefore increasing by 0.42ft/min at a height of 11 feets
