Answer:
The 24th term is 80 and the sum of 24 terms is 1092.
Explanation:
Given that,
The arithmetic series is
11,14,17,........24
First term a = 11
Difference d = 14-11=3
We need to calculate the 24th term of the arithmetic sequence
Using formula of number of terms

Put the value into the formula



We need to calculate the sum of the first 24 terms of the series
Using formula of sum,

Put the value into the formula


Hence, The 24th term is 80 and the sum of 24 terms is 1092.
Answer:
The value is 
Explanation:
From the question we are told that
The diameter is 
The length of the wire is 
Generally the cross sectional area of the copper wire is mathematically represented as

=> 
=> 
Generally the resistance is mathematically represented as

Here
is the resistivity of copper with the value 
=> 
=> 
Answer:
velocity = 0.3m/s
speed = 1.21 m/s
Explanation:
The total time it takes to get from the front door to the bench is
t = 27 + 39 = 66 seconds
The net displacement from the front door to the bench is the distance from the front door to the windmill subtracted by the distance from the windmill to the bench
s = 50 - 30 = 20 m
So the average velocity is net displacement divided by total time
v = s / t = 20 / 66 = 0.3 m/s
The total distance from the front door to the bench is the sum of distance from the front door to the windmill and the distance from the windmill to the bench
S = 50 + 30 = 80 m
So the average speed is total distance divided by total time
v = s / t = 80 / 66 = 1.21 m/s
Momentum transfer is reduced