Answer:
½ ln 3
Step-by-step explanation:
∫ sec²x / tan x dx
If u = tan x, then du = sec²x dx.
∫ du / u
ln|u| + C
ln|tan x| + C
Evaluate between π/4 and π/3.
ln|tan(π/3)| + C − (ln|tan(π/4)| + C)
ln|√3| + C − ln|1| − C
ln(√3)
½ ln 3
If x is the time, in hours, then:
x(55)=x(50)+15
5x=15
x=3 hours before Aisha is ahead of Luke
hope this helps you!
Answer:
a. 
b. $225
Step-by-step explanation:
Let Mr. Scruggs got money for his birthday be 'a'
He spent
of it on dog treats = a × 
= 
remainder amount would be = a - 
= 
Then he divided the remainder money equally among 3 favorite charities.

= 
a. Each charity receive
b. If he donated $60 to each charity.


a = $225
Mr. Scruggs received $225 for his birthday.
I'd say A, since there, all the operations are the opposite from the original function.
Hope it helped,
BioTeacher101