Derive a relationship between depth and temperature, then substitute that into the density/temperature relationship and use the equation from the text to solve the integral and pressure difference. what is the gage pressure at the bottom of the lake? what is the absolute pressure at the bottom of the lake?

And the absolute pressure at the bottom would be:

Step-by-step explanation:

From the figure attached we know the following two conditions:

And we want a linear model like this one:

Where m abd b represent the slope and intercept.

We can find the slope with the following expression:

And then we can find the intercept using the first point:

So then the linear model is:

Assuming the following formula for the density:

If we replace the expression for T into the density we got:

Since the units for are g/ml we can convert this into kg/m^3 multiplying by 1000 and we got:

Then we have the following differential equation:

If we replace the expression for the density in terms of z we got:

And we can separate like this:

Now w can integrate both sides and we got:

And that would be the expression for the change of pressure:

For our case we have 20m of difference between the surface and the bottom so then the change of pressure between these two levels is:

We know that the pressure increase with the depth. So then the gage pressure at the bottom would be:

And the absolute pressure at the bottom would be:

on a coordinate grid, point a is at (−4.0, −2.4) and point b is at (4.0, −2.4). point b is a reflection of point a across the –axis. input either a lowercase x or i think is the right awnser

step-by-step explanation:

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~