Answer:
is the density of the oil
Explanation:
Given:
- height of oil column,

- oil column height that is more than the water column height in the other arm,

<u>Now from the given it is clear that the height of water column is:</u>



Now according to the pressure balance condition of fluid columns:
Pressure due to water column = Pressure due to oil column



is the density of the oil
Balance. acids and bases counteract each other on the PH scale.
Answer:

Explanation:
<u>Rate Of Change</u>
Let some variable y depend on time t. we can express y as a function of t as

The instant rate of change of y respect to t is the first derivative, i.e.

The balloon, the ground and the observer form a right triangle (shown below) where the height of the balloon y, the horizontal distance x, and the angle of elevation are related with the trigonometric formula

Since x is constant, we take the derivative with respect to time by using the chain rule:

Solving for 

Let's compute the actual angle with the initial conditions y=9 feet, x=12 feet


Knowing that



The balloon is rising at y'=8 feet/sec, thus we compute the change of the angle of elevation:



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