Answer:
$113.75
Step-by-step explanation:
First add 70.25 to 43.50 to get 113.75
The sequence diverges because the value of the absolute common ratio r is greater than the 1.
<h3>What is convergent of a series?</h3>
A series is convergent if the series of its partial sums approaches a limit; that really is, when the values are added one after the other in the order defined by the numbers, the partial sums getting closer and closer to a certain number.
We have series:
9, 27, 81, 243....
The above series is a geometric progression with common ratio r is 3
r = 3
We know the formula for a geometric sequence:
A geometric series converges only if the absolute value of the common ratio:
r < 1 and
It diverges if the ratio ≥ 1
Here the value of r = 3 which is greater than the 1 so the sequence diverges.
Thus, the sequence diverges because the value of the absolute common ratio r is greater than the 1.
Learn more about the convergent of a series here:
brainly.com/question/15415793
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Answer:
High velocity train will take 36.73 hours to travel from Paris and Naples.
Explanation:
Average speed = Distance traveled / Time taken
Time taken = Distance traveled / Average speed.
Distance traveled = 7346 km
Average speed = 200 km/hr.
Time taken = 7346 / 200 = 36.73 hour.
So, high velocity train will take 36.73 hours to travel from Paris and Naples.
6) 1.6 x 10^-4 = 0.00016
7) diameter of the sun
8) water molecule
9) grain of salt
Answer:
For each test run, the minimum time is 45 mins or <u>3/4 ____</u> hours
and the maximum time is 67.5 minutes or <u>1 hour 7.5 minutes.</u>
Step-by-step explanation:
If x is the number of hours the robot is performing a test run, the equation that can be used to find the minimum and maximum time (in hours) for a test run is <u>15 mins for 1 mile</u>
For 4 miles the time is 1 hour
For 1 miles the time will be 1/4 hour
For 3 miles the time will be 3/4 hours
and for 4.5 miles the time will be 4.5/4 hours
Now reversing
1 hour = 4miles
15 mins= 1 mile
45 mins = 3 miles
30 mins = 2 miles
67.5 min= 4.5 miles
For each test run, the minimum time is ____ hours
the minimum distance is 3 miles and time taken is 45 mins
and the maximum time is ____ hours.
The maximum distance is 3+ 1.5= 4.5 miles and time taken is 67.7 minutues or 1 hour 7.5 minutes.