10. A veterinarian is changing the diets of two animals, Simba and Cuddles. Simba currently consumes 1200
Calories per day. That number will increase by 100
Calories each day. Cuddles currently consumes 3230
Calories a day. That number will decrease by 190
Calories each day. The patterns will continue until
both animals are consuming the same number of
Calories each day. In how many days will that be?
How many Calories will each animal be consuming
each day then? NOTE: Be sure to state the algebraic
property for each step as you are solving the equation.

1. are the triangles similar and if so why? what is the value of x? show your work.

The human resources manager at a company records the length, in hours, of one shift at work, x. he creates the probability distribution below. what is the probability that a worker chosen at random works at least 8 hours? 0.62 0.78 0.84 0.96

The biologist has a second culture to examine. she knows that the population of the culture doubles every 15 minutes. after 1 hour and 15 minutes, her assistant found that 80,000 bacteria were present. a) what was the size of the initial population? b) predict the size of the culture at t=3 hours. what was the size of the population at 40 minutes? explain and justify your answers. c) create a graph of the population as a function of time. find an equation that can be used to predict the size of the population at any time t. d) examine the rate at which the bacteria culture is growing. how fast is the culture growing after 1 hour? after 1.5 hours? after 2 hours? use a time interval of h = 0.01 hours to estimate these rates. interpret these rates in terms of the context of the problem situation. how do these three rates compare?