There are 40 people at drake's sweet sixteen party. drake's only rule is that everyone in the party must meet and shake each others hand. if all 40 guest shake each other's hand once and only once. (1) how many handshakes are there altogether? (50 pts) (2) how did you get your solution? no verbiage should be the same for this. there are multiple ways to think about this. (30 pts) (3) what's the quickest way to figure this out if drake invited 1000 people? (20 pts)

can someone answer this with an explanation?

What is the y-intercept of the graph of the equation y=3(2^x)

Consider the following geometry problems in 3-space enter t or f depending on whether the statement is true or false. (you must enter t or f -- true and false will not work.) f equation editorequation editor 1. a plane and a line either intersect or are parallel t equation editorequation editor 2. two planes parallel to a third plane are parallel f equation editorequation editor 3. two lines either intersect or are parallel f equation editorequation editor 4. two planes orthogonal to a third plane are parallel f equation editorequation editor 5. two planes orthogonal to a line are parallel f equation editorequation editor 6. two planes either intersect or are parallel f equation editorequation editor 7. two lines orthogonal to a third line are parallel t equation editorequation editor 8. two lines parallel to a third line are parallel t equation editorequation editor 9. two planes parallel to a line are parallel f equation editorequation editor 10. two lines parallel to a plane are parallel f equation editorequation editor 11. two lines orthogonal to a plane are parallel

The base of the rectangle pyramid is 13 inches long and 12 inches wide the height of the pyramid is 18 inches . what is the volume of the pyramid ?