Step-by-step explanation:
log <base a> b = x
means
a^x = b
So
3^2 = x^2+7x+21
x^2 + 7x + 21 - 9 = 0
x^2 + 7x + 12 = 0
(x+3)(x+4)
x = -3 or -4
Answer:
Yes
Step-by-step explanation:
the function that gives the alcohol level is:

where x is the number of hours.
we need to know if after 4 hours an average person is legally drunk, thus:

and we substitute this in the function:

solving these operations we obtain:


the alcohol level after 4 hours is 3.24.
Since a person is considered to be legally drunk if the level exceeds 1.5, and we obtained 3.24 which is greater than 1.5, a person who has been drinking for 4 hours under the conditions indicated by the problem would be considered legally drunk.
Answer:Answer:
2155.1 m^3
Step-by-step explanation:
area= pi* r ^2 * h =pi * 7^2 *14 = 2155.1 m^3