Answer:
n squared + 3n + 1
Step-by-step explanation:
5,11,19,29
Firstly look at the difference between each number. The first difference is 6 then 8 then 10 etc. After that you look at your created sequence - 6,8,10 etc. The difference is 2 each time. Then applying rules, you have to do the constant difference divided by 2 to get a coefficient of n squared. So in this case it's n squared because 2/2 = 1 so you don't have to place a 1 in front of the n squared. After you create a sequence from the n squared. That would be 1,4,9 etc. Then you need to see how to get from the sequence: 1,4,9 etc to your original sequence: 5,11,19 etc. So if you calculate it you will get 4,7,10 because firstly 5-1 = 4 then 11-4 = 7 etc. The sequence 4,7,10 is a linear sequence so the constant difference is 3 each time. So to get a nth term of a linear sequence you will start off as 3n then you will substitute 1 then 2 then 3 into the 3n. Therefore that would be 3,6 etc. So if you take the first substituted term, that would be 3 as said before then you will have to see how to get from the 3 to 4 so that is just adding 1. So the nth term of this linear sequence is 3n + 1. Check if it works at the end. So the overall nth term of the quadratic sequence is n squared as said before + 3n + 1.
You divide the shape into as many shapes as you want, and then multiply then all and add!
Answer:
profit : RS 150 and profit % : 3%
Step-by-step explanation:
for profit 10% for loss 4%
s.p will be 2750. s.p will be 2400
Total s.p : 2750 +2400. total s.p : 5150
profit = s.p-c.p. profit%=?
=5150-5000. profit = p /c.p × 100
=150 = 150/5000×100
= 3%
Answer:
The data in country B are more symmetric than the data in country A.
Step-by-step explanation:
The following information is missing:
<em>The box plots show the average wind speeds, in miles per hour, for various cities in two different countries. Average Wind Speeds of Cities in Country A 2 box plots. The number line goes from 1 to 11. For the average wind speeds of cities in country A, the whiskers range from 1 to 9.5, and the box ranges from 3 to 7. A line divides the box at 4. For the average wind speeds of cities in country B, the whiskers range from 1.2 to 11, and the box ranges from 4 to 9. A line divides the box at 6. Average Wind Speeds of Cities in Country B</em>
Country A
Country B
We can see that the difference between quartile 1 and minimum, median and quartile 1, quartile 3 and median, and maximum and quartile 3 is more homogeneous in Country B than Country A, then Country B is more symmetric.
Answer:
down below
Step-by-step explanation:
1) 4% of 120 = 4.8, so 120+4.8 = 124.8 cm tall
2) 12% of 6000 = 720 . 6000-720 = 5280 gallons
3) 22% of 200 = 44 . 200-44 = 156
4) 30% of 40 - 12 . 40 - 12 = $28
5) 35% of 140 = $49 . 140 + 49 = $189