Answer:
0.772
Step-by-step explanation:
Original equation:

Divide both sides by 18

Rewrite in logarithmic form (
)

Divide both sides by 5

Rewrite the equation so that base is 10 using change of base formula:

Keep, change, flip

Use a calculator to approximate log14.5 and log2

Multiply in denominator

Divide two values

Round to nearest thousandth

Answer:
I don't understand the question what is the quarter????
Step-by-step explanation:
40°
and thats an acute angle
Answer:
first do:
60mph * 4 hours= 240mi
Let D = the distance the passenger train has to
travel to catch the freight train
Start a stopwatch when the passenger train leaves
Let t = the time on the stopwatch when they meet
Equation for freight train:
d-240=60t
Equation for passenger train:
d=100t
all together:
100t-240=60t
we can do 100t-60t because they both have (t)= 40t
40t=240 *now divide 240 by 40= 6
THEN do:
D= 100mph x 6= 600mi
They will meet 600 mi from the station
to check:
d-240=60t x 6
600-240= 360
60 x 6= 360
360=360
Given expression is
.
where 
Now we have to simplify this and find the next step so that negative exponent gets eliminated.
We know that when negative exponent changes sign, then it moves from numerator to denominator or from denominator to numerator as shown in the formula:

or
n has negative exponent in denominator so it will move to numerator and we get:

or 
Hence final answer is
.