In mathematics, the factorial of a non-negative integer n, denoted by n! , is the product of all positive integers less than or equal to n. for example, 5! =5 *4* 3* 2* 1 =120 write a programn (in java) to print and calculate the factorial for a given (n) number

This problem has been solved! see the answeran evil king has a cellar containing n bottles of expensive wine, and his guards have just caught a spy trying to poison the king’s wine. fortunately, the guards caught the spy after he succeeded in poisoning only one bottle. unfortunately, they don’t know which one. to make matters worse, the poison the spy used was very deadly; just one drop diluted even a billion to one will still kill someone. even so, the poison works slowly; it takes a full month for the person to die. design a scheme that allows the evil king to determine exactly which one of his wine bottles was poisoned in just one month’s time while expending at most o(logn) of his taste testers. you are not allowed to use n testers, one for each bottle, and see which one tester dies after 30 days.(no pseudocode needed. just answer in words, how many testers you use, how you use them and why you correctly identify the poisoned bottle in 30 days)

The pyraminx is a rubik's cube-type toy in the shape of a tetrahedron (not a pyramid). the pyraminx shown below has edges 15\,\text{cm}15cm15, space, c, m long and vertical height h=12.2\,\text{cm}h=12.2cmh, equals, 12, point, 2, space, c, m. the triangle drawn with dashed lines is a right triangle. what is the distance rrr? round your answer to the nearest tenth.

What kind of motivation is katrina showing? use the drop-down menu to complete the statement. katrina is using motivation because she is personally interested in learning more.