Caroline, a piano tuner, suspects that a piano's A4 key is out of tune. Normally, she would play the key along with her A4 tuning fork and tune the piano to match, but her A4 tuning fork is missing. Instead, she plays the errant key along with her G4 tuning fork (which has a frequency of 392.0 Hz), displays the resulting waveform on a handheld oscilloscope, and measures a beat frequency of 84.6 Hz. Then, she plays the errant key along with her B4 tuning fork (which has a frequency of 493.9 Hz) and measures a beat frequency of 17.3 Hz. What frequency is being played by the out-of-tune key? If the B4 key is supposed to produce a frequency of 493.9, is the frequency of the key lower than it should be ("flat") or higher than it should be ("sharp")?

multiple allele inheritance is traits controlled by more than 2 alleles (ex: pigeons having 3 alleles of one gene govern their feather color).

russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

where is unknown. because the position is parabolic, there is symmetry about the midpoint at , and we know that

so that the position function is

which means the velocity is

then the total distance traveled is

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at and ends at , so its displacement is 0.

the ima (higher than 1m) will be greater than the ima with the height of 1m.