The sequence is geometric. The infinite series does converge.
Note how dividing any given term by the previous one leads to the same result
-8/12 = -2/3
(16/3) divided by -8 = -2/3
and so on...
So the common ratio is r = -2/3. This proves the sequence is geometric.
Since |r| < 1 is true, this means the infinite series converges to some fixed number.<span />
Answer:
The resistance of the heater is 44 ohms.
Step-by-step explanation:
Given that,
Voltage of electric heater, V = 440 volts
Current drawn by the heater, I = 10 A
We need to find the resistance of the heater. It is a case of Ohm's law. Its mathematical form is given by :
R is resistance of the heater
So, the resistance of the heater is 44 ohms. Hence, this is the required solution.
Answer:
x=7
ONQ=14
QNP= 121
Step-by-step explanation:
subtract 135 by 93 135-93= 42
add the variables together 2x+4x=6x
divide 42/6= 7
Add the two trips together for total Km’s:
4500 + 11700 = 16,200 km.
divide total km by speed:
16,200 / 1,100 = 14.727272 hours
0.727272 x 60 minutes per hour = 43.636363 minutes, round up to 44 minutes
total time: 14 hours and 44 minutes
