Mrs. Dillard is installing a cubed swimming pool in her backyard. The hole that her husband dug in her backyard is 216 feet cubed. She went to the pool store to pick out a pool frame. She chose a pool frame that had a length, width, and height of 7ft. Will the pool frame she choose fit into the 216 foot cubed hole? If so, explain, if not what dimensions much she buy for the pool frame to fit?

No. The pool frame she choose will not fit into the 216 foot cubed hole. She should have picked a frame of 6ft.

Step-by-step explanation:

From the question, we are informed that Mrs. Dillard is installing a cubed swimming pool in her backyard and that the hole that her husband dug in her backyard is 216 feet cubed.

We are further told that she went to the pool store to pick out a pool frame. She chose a pool frame that had a length, width, and height of 7ft.

Since the height is 7ft, the volume will be: = 7ft × 7ft × 7ft = 343 feet cubed.

This shows that the pool frame she choose will not fit in the hole dug. She should have picked a frame of 6feet since (6ft × 6ft × 6ft) = 216 ft cubed.

The following statements are true about exponential functions:
-The domain is all real numbers.
- The input to an exponential function is the exponent.
- The base represents the multiplicative rate of change.

The reason why the other two options are wrong are explained below:
The range of exponential functions is not always includes negative numbers; on the contrary, the range is the set of all positive real numbers.

The graph of an exponential function does not have a horizontal asymptote at x = 0; contrarily, the equation of the horizontal asymptote of the graph of is y = 0, which is the x-axis.