Answer: second option.
Step-by-step explanation:
In order to solve this exercise, it is necessary to remember the following properties of logarithms:
In this case you have the following inequality:
So you need to solve for the variable "x".
The steps to do it are below:
1. You need to apply 
to both sides of the inequality:
2. Now you must apply the properties shown before:
3. Then, rounding to the nearest ten-thousandth, you get:
Answer:
x=42.3m
Step-by-step explanation:
x/47=82.8/92
92x=3891.6= 42.3m is the distance
Answer:
Rob made 31, and Matt made 24
Step-by-step explanation:
55 in total
Rob made 7 more do 55 - 7 = 48
48 / 2 = 24
24 for Matt
24 +7 = 31
31 for rob
Answer:
(3,2)
Step-by-step explanation:
Answer:
9990 years
Step-by-step explanation:
The exponential function with given values filled in can be solved for the unknown using logarithms.
__
Q(t) = 12 = 36e^(-0.00011t)
1/3 = e^(-0.00011t) . . . . . . divide by 36
ln(1/3) = -0.00011t . . . . . . take natural logs
t = ln(1/3)/(-0.00011) . . . . divide by the coefficient of t
t ≈ 9990 . . . years
