We can take any word and rearrange all the letters to get another “word”. These new “words” may be nonsensical. For example, you can rearrange the letters in MATH to get MTHA. Geordie wants to rearrange all the letters in the word CADET. However, he uses the following rules: • the letters A and D must be beside each other, and
• the letters E and T must be beside each other.
How many different arrangements of the word CADET can Geordie make if he follows these rules? Note: ADCET and ADT EC are acceptable words, while ADT CE is not.

The blue whale is the largest animal living on the earth. the average blue whale measures 100 feet long (30 meters) and weighs 300,000 pounds (136,000 kilograms). a whale’s head is 1⁄3 of the length of its body. a new baby whale is 1⁄4 the length of a grown whale. the average man is 1⁄17 the length of a blue whale, and 1⁄1,818 its weight. a human baby measures 1⁄4 of the length of an adult. calculate the following information: how long is a whale’s head? how long is a new baby whale? how tall is the average man? how much does the average man weigh? how tall is the average human baby?

Complete the equation of the line through (−10,3) and (−8,−8). use exact numbers.

Pepe and leo deposits money into their savings account at the end of the month the table shows the account balances. if there pattern of savings continue and neither earns interest nor withdraw any of the money , how will the balance compare after a very long time ?