7. You are given a note which contains clues to finding a treasure in a property. The note lists 5 true statements as to the location of the treasure. ˆ-If this house is next to a lake, then the treasure is not in the kitchen. ˆ-If the tree in the front yard is an elm, then the treasure is in the kitchen.     -This house is next to a lake. ˆ-The tree in the front yard is an elm or the treasure is buried under the flagpole. ˆ-If the tree in the back yard is an oak, the the treasure is in the garage

2) Ted, Robyn, Barney, Marshall, Lily, Stella, Victoria, Tracy, Karen, and Holli line up for a picture. Ho many ways can this happen if Ted, Barney and Robyn must be separated?

Jeremy boards a Ferris wheel at the 3- o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rotates at a constant angular speed of 7.3 radians per minute and has a radius of 50 feet. Let t represent the number of seconds since the Ferris wheel started rotating. a. Write an expression (in terms of t) to represent the varying number of radians Jeremy has swept out since the Ferris wheel started rotating. Preview b. Write a function f that determines Jeremy's distance above the center of the Ferris wheel (in feet) in terms of t. f(t) = Preview c. How long does it take for Jeremy to complete one full revolution on the Ferris wheel? Preview minutes

When asked if the sets {azalea, sunflower, orchid, chrysanthemum} and {azalea, orchid, chrysanthemum, sunflower} are equal, Noah responded "No". Explain why you think Noah answered as he did. What is he misunderstanding? Choose the correct answer below. O A. For two sets to be equal, they must contain the same elements without repetition. Since the sets are equal, Noah must have misread the elements in the sets. O B. For two sets to be equal, they must contain the same number of elements. Since the sets are equal, Noah must have miscounted the number of elements in the set. O C. For two sets to be equal, they must both contain exactly the same elements. Since the sets are equal, Noah must misunderstand that the only requirement for sets to be equal is that they contain exactly the same elements. O D. For two sets to be equal, they must contain the same elements in the same order. Since the sets are not equal, Noah is not misunderstanding anything.

Given: All registered voters must be at least 18 years old. What, if anything, can you conclude from each additional statement?6. Eric is 19 years old.8. Will is 15 vears old.7. Bonnie is not registered to vote.9. Barbara is a registered voter.

Choose the correct similarity statement. K. O A. AJMK -AMLK - JLM B. AJMK- ALMK ~ AJLM O C. AJLM AMLK -JKM D. AJKM-AMKL - AMJL 1 of 5 Answered

you are planning a wedding, and there are 10 people participating in the weddingceremony.1. During the ceremony, the 10 participants will walk down the aisle in pairs (groupsof 2), one pair at a time. How many ways can the 10 participants walk down theaisle in pairs if it matters which person is on the left and which is on the right?2. After walking down the aisle and completing the wedding ceremony, the 10 parti-cipants will leave the ceremony in pairs. How many ways can the 10 people leavethe ceremony in pairs, one pair at a time, if the left and right orientation of eachpair is now irrelevant?3. After leaving the ceremony there is a reception held where the 10 wedding parti-cipants will dance together. How many ways can the 10 participants form pairswhile dancing at the same time?