WILL GIVE BRANLIEST!! PLEASE HELP

a(t)= t^2/2 - 20t + k

There was a 50-day period when the number of ants in a certain hill could be modeled by the function “a” above. In the function, “k” is a constant and a(t) represents the number of ants on day number “t” for 0 ≤t ≤49. On what day was the number of ants in the hill the same as it was in day 10?

answer: you need to organize this better it does not make sense.

step-by-step explanation: ?

the answer is 40.

proof:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: