If a cup of coffee has temperature 95∘c in a room where the temperature is 20∘c, then, according to newton's law of cooling, the temperature of the coffee after t minutes is t(t)=20+75e−t/50. what is the average temperature (in degrees celsius) of the coffee during the first half hour?

Describe how to translate the graph of y=/x to obtain the graph of y=/x+5

Astudent is determining the influence of different types of food on the growth rate of spiders. she feeds one group of spiders two caterpillars twice a week. the other group received similarly-sized beetles twice a week. she records the amount of time required for individuals to reach sexual maturity. her hypothesis is that the spiders feeding on caterpillars will have a faster growth rate because caterpillars have a higher protein content compared to beetles. in this experiment, what is the dependent variable? spiders assigned to different feeding groups. time required to reach sexual maturity number of prey items fed twice a week. growth rates of each group.

A11 gram sample of a substance that’s used to treat thyroid disorders has a k-value of 0.1247