Answer:
The sum of the series is 749
Step-by-step explanation:
Given



Required
The sum of the series
This is calculated using:
![S_n = \frac{n}{2}[a_1 + a_n]](https://tex.z-dn.net/?f=S_n%20%3D%20%5Cfrac%7Bn%7D%7B2%7D%5Ba_1%20%2B%20a_n%5D)
Substitute 14 for n
![S_{14} = \frac{14}{2}[a_1 + a_{14}]](https://tex.z-dn.net/?f=S_%7B14%7D%20%3D%20%5Cfrac%7B14%7D%7B2%7D%5Ba_1%20%2B%20a_%7B14%7D%5D)
![S_{14} = 7[a_1 + a_{14}]](https://tex.z-dn.net/?f=S_%7B14%7D%20%3D%207%5Ba_1%20%2B%20a_%7B14%7D%5D)
Substitute values for a1 and a14
![S_{14} = 7[8 + 99]](https://tex.z-dn.net/?f=S_%7B14%7D%20%3D%207%5B8%20%2B%2099%5D)


 
        
             
        
        
        
sorry i cant help on that its tricky but try 8???
 
        
             
        
        
        
Based on the scenario, the initial temperature would be :
28 = (60) (1/2)^x/30 + 20
 
(60) (1/2)^0/30 + 20 = 60 + 20 = 
80 C
Hope this helps
        
             
        
        
        
Answer:2/3
Step-by-step explanation:There are 52 cards in a standard deck: 13 ordinal cards (Ace - 10, Jack, Queen, King) and 4 of them - one to each suit (hearts, diamonds, clubs, spades) and so we have 
4
×
13
=
52
.
There are 8 cards that fit the question (4 each of aces and kings).
And so in a random draw, the odds of drawing one of those 8 cards out of the total number of 52 is:8/52
which we can simplify:
8/52=2/13
 
        
             
        
        
        
Answer: one hundred eleven thousandths
Step-by-step explanation: