Talulah is an ecologist who studies the change in the penguin population of Antarctica over time. She

observed that the population decays by a factor of every 4 months. The population of penguins can be

modeled by a function, P. which depends on the amount of time, t (in months)

When Talulah began the study, she observed that there were 27,000 penguins in Antarctica.

Write a function that models the population of the penguins t months since the beginning of Talulah's

P(t) =

Multiply. write your answer in simplest form. 3/8 x 5/7

Reflect the point (7,0) across the y-axis

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.