WILL REWARD WITH BRAINIEST, PLS HELP. The temperature, T, of a given cup of hot chocolate after it has been cooling for t minutes can best
be modeled by the function below, where T0 is the temperature of the room and k is a constant.
ln(T − T0) = −kt + 4.718
Part A: A cup of hot chocolate is placed in a room that has a temperature of 68°. After 3 minutes, the
temperature of the hot chocolate is 150°. Compute the value of k to the nearest thousandth.
Part B: Using this value of k, find the temperature, T, of this cup of hot chocolate if it has been
sitting in this room for a total of 10 minutes. Express your answer to the nearest degree.

The graph below shows the amount of money left in the school’s desk fund, f, after d desks have been purchased. for each new desk that is purchased, by how much does the amount of money left in the school’s desk fund decrease?

In a sample of 2023 u.s. adults, 373 said franklin roosevelt was the best president since world war ii. two u.s. adults are selected at random from the population of all u.s. adults without replacement. assuming the sample is representative of all u.s. adults, complete parts (a) through (d). (a) find the probability that both adults say franklin roosevelt was the best president since world war ii. the probability that both adults say franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (b) find the probability that neither adult says franklin roosevelt was the best president since world war ii. the probability that neither adult says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (c) find the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii. the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (d) which of the events can be considered unusual? explain. select all that apply. the event in part left parenthesis a right parenthesis is unusual because its probability is less than or equal to 0.05. the event in part (b) is unusual because its probability is less than or equal to 0.05. none of these events are unusual. the event in part (c) is unusual because its probability is less than or equal to 0.05.

Combine like terms to make a simpler expression 3z+z