There are 8 elephants in the zoo. Each elephant eats about 2.16 × 105 pounds of vegetation per year.

The zookeeper asked Nate and Elena to determine how many pounds of vegetation is required to feed all of the elephants. They wrote their solutions in scientific notation.

Nate's Solution Elena's Solution

8 × (2.16 × 105) 8 × (2.16 × 105)

= (8 × 2.16) × 105 = (8 × 2.16) × (8 × 105)

= 17.28 × 105 = 17.28 × 805

= 1.728 × 106 = 1.728 × 806

Who is correct? Explain.

Triangle xyz has vertices x(1,3), y(0,0)

The motion of a weight that hangs from a spring is represented by the equation h=8sin(2pi/3t). it models the weight’s height above or below the rest position as a function of time. approximately when will the object be 3 inches above the rest position?

Q.1 dr. frank needs to choose 3 students from her advanced biology course to attend a conference in hawaii. the course has 40 students. which of the following methods could dr. frank use to choose a simple, random sample of 3 students? select all that apply. 1 dr. frank could have the students line up from shortest to tallest, then use her birthdate, 2/5/39, to select 3 students from the line (the 2nd student, the 5th student, and the 39th student). 2. dr. frank could upload her class roster into a spreadsheet and use a ranom-number generating function to produce 3 random numbers. the students whose names are located in the rows with these 3 numbers on the spreadsheet would be chosen. 3. dr. frank could choose the students with the 3 highest grades in the class. 4. dr. frank could count to three, then the first students to come to the front of the classroom and grab a golden ticket from her hand would be selected. 5. dr. frank could ask all students to write their name on a card, place all of the cards in a hat, shake the hat, and then pull 3 cards out from the hat. the students whose names appear on those 3 cards will be selected. 6. dr. frank could ask for volunteers to go to the conference, then choose the first 3 students who raise their hands. q2. now, choose one of the methods that you did not select and explain why this method would not result in a simple, random sample: