A diver begins at 150 feet below sea level, descends at a steady rate of 5 feet per minute for 3.5 minutes, and then ascends 122.2 feet. What is the diver’s current depth? Explain how to write a numerical expression to find the answer.

The answer is -45.3 feet depth. while minus sign shows the descend under the water with water surface as starting point.

Step-by-step explanation:

Initial depth of diver under the water   = -150 feet

Diver descends 5 feet per minute for 3.5 minutes   = 3.5 *(-5)

                                                                                         = 17.5

Note: minus sign shows that the diver is under the water.

Diver ascends  = 122.2 feet

Now adding all the terms a below as a numerical expression.

Current Depth of Diver after he descends 5 feet for 3.5 minutes and ascend 122.2 feet after    =150=17.5+122.2

                                            =45.3feet

By taking the initial depth of diver from which we add or subtract the changes made when he ascends or descends in the water to get the current depth.

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.