Samuel is deep-sea diving. he dives down 735 feet from the surface of the water, and then rises back up 418 feet. he then dives down another 271 feet. how far from the surface is he now?

Samuel is now at 588 feet down from the surface of water.

Step-by-step explanation:

Samuel dives down 735 feet from the surface of the water.

It is represented by the integer = -735

Then rises back up 418 feet

It is represented by + 418.

Then dives down another 271 feet. It is represented by - 271

Samuel location now = - 735 + 418 - 271

= -317 - 271

= -588 feet

So, Samuel is 588 down from the surface of water.

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!