Answer: a) 490.91 mph
b) 540 mph
c) speed of the wind = 49.1 mph
Step-by-step explanation:
Given that flight between Joppetown and Jawsburgh took 5 hours and 30 minutes.
Time t = 5.5hours
Distance = 2700 miles
Speed = distance/ time
Speed = 2700/5.5
Speed = 490.91 mph
The return flight took 5 hours of the same distance from = 2700 miles
Speed = 2700/5 = 540 mph
speed of the wind = the difference in the two speed
speed of the wind = 450 - 490.91
speed of the wind = 49.1 mph
Speed = 540m/s
Answer:
34 nickels, 39 dimes, 78 quarters
Step-by-step explanation:
q = quarters, d = dimes, n = nickels
n = d - 5
q = 2d
.25q + .10d + .05n = 7.55
<em>Plug in the first 2 equations into the third one</em>
.5d + .10d + .05(d - 5) = 7.55
<em>Open up the Parenthesis</em>
.5d + .10d + .5d - .25 = 7.55
<em>Combine Like Terms</em>
.2d - .25 = 7.55-->
.2d = 7.8 -->
d = 39 -->
n = 39 - 5 = 34
q = 2(39) = 78
The answer is 20.1.
<em>**Please mark this answer as Brainliest and leave a Thanks if I helped :)</em>
First, you'll use the "Log power rule," which says that

. In this case, you're going from the form on the right (with p in front of the log) to the form on the left (with p in the exponent position). So, the expression becomes:

Then, you'll use the "Log product rule," which says that

. Again, you're going from the form on the right to the form on the left (basically, from the sum of the logs, to a log of the products). So you get:

There's your expression simplified into a simple logarithm.