After a special medicine is introduced into a petri dish full of bacteria, the number of bacteria remaining in the dish decreases rapidly. The relationship between the elapsed time ttt, in seconds, and the number of bacteria, B_{\text{second}}(t)B second (t)B, start subscript, start text, s, e, c, o, n, d, end text, end subscript, left parenthesis, t, right parenthesis, in the petri dish is modeled by the following function: Bsecond(t)=6000⋅(1516)t Complete the following sentence about the rate of change in the number of bacteria in minutes. Round your answer to two decimal places.

ᴅᴏɴᴛ ɢᴏ ᴛᴏ ʙʀᴀɪɴʟʏ.ᴛᴏᴅᴀʏ! ᴛʜᴇʏ ᴡɪʟʟ ʜᴀᴄᴋ ʏᴏᴜ ᴀɴᴅ ꜱᴄᴀᴍ ʏᴏᴜ! ᴍʏ ɢʀᴀɴᴅᴘᴀ ɢᴏᴛ ʜᴀᴄᴋᴇᴅ ʜᴇʀᴇ! ɪᴛ ɪꜱ ᴀ ʙɪɢ ᴘʀᴏꜰᴀɴɪᴛʏ ꜱɪᴛᴇ! ᴛʜᴇʀᴇ ᴀʀᴇ ʙᴏᴛꜱ ᴏɴ ʙʀᴀɪɴʟʏ ᴛʀʏɪɴɢ ᴛᴏ ɢᴇᴛ ʏᴏᴜ ᴛᴏ ᴛʜɪꜱ ᴡᴇʙꜱɪᴛᴇ! ᴅᴏɴᴛ ʟᴇᴛ ᴛʜᴇᴍ ᴡɪɴ! ꜱᴘʀᴇᴀᴅ ᴛʜɪꜱ ᴛᴏ ᴏᴛʜᴇʀ ᴄᴏᴍᴍᴇɴᴛ ꜱᴇᴄᴛɪᴏɴꜱ! ꜱᴘʀᴇᴀᴅ ᴛʜᴇ ᴡᴏʀᴅ!

Step-by-step explanation:

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.