An open box is to be made from a square piece of cardboard, 30 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below). If the volume of the box is represented by , determine the domain of .              Write you answer in interval notation. 

Find the value of k such that ​ x – 3  is a factor of  x3 – kx2 + 2kx – 3. You must have work to receive any partial credit. ​

Find all the zeros of the function and write the polynomial as a product of linear factors. ​ x4 + 20×2 + 64 No partial credit for this answer.

Given –3i is a root, determine all other roots of f(x) = x3  + 2×2  + 9x  + 18. No partial credit for this answer.

Select the correct graph of the function. ​ No partial credit for this answer. ​

Terrence, a baseball enthusiast, wants to predict the average number of home runs based on the on-base percentage + slugging (OPS). He has data from the 2021 Major League Baseball (MLB) season. HR = -119.09 + 265.29*OPS Predict the number of home runs for the team, who had an = 0.704. Round to one decimal place.

Which section of the fallopian tube is the longest and where fertilization occurs?

How should the endometrium appear during the menstrual phase?

A normal uterus is positioned:

Where is the ‘X’ placed in the uterus?