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Ostrovityanka [42]
2 years ago
13

How many whole weeks are in a year

Mathematics
1 answer:
SOVA2 [1]2 years ago
8 0

Answer:

52 weeks are there in a year

Step-by-step explanation:

365/7

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WILL GIVE 100 POINTS
padilas [110]

(a) The explicit rule to model the sequence formed by the number of seats in each row is a_{n}=15+3n

(b) The 35th row has 120 seats

Step-by-step explanation:

The rule of the nth term of an arithmetic sequence is

a_{n}=a+(n-1)d , where

  • a is the the first term
  • d is the common difference between each two consecutive terms

∵ There are 18 seats in the 1st row

∵ There are 21 seats in the 2nd row

∵ 21 - 18 = 3

∵ The number of seats is increased by 3 with each additional row

- The number of seats in each row represents an arithmetic

   sequence because there is a common difference between

   each two consecutive rows

∴ The number of seats in each row formed an arithmetic sequence

∵ The number of seats in the first row = 18 seats

∴ a = 18

∵ The number of seats in a row continues to increase by 3 with each

   additional row

∴ d = 3

- Substitute the values of a and d in the rule of nth term

∴ a_{n}=18+(n-1)3

- Simplify the right hand side

∴ a_{n}=18+3n-3

- Add like terms

∴ a_{n}=15+3n

(a) The explicit rule to model the sequence formed by the number of seats in each row is a_{n}=15+3n

∵ There are 120 seat in a row

- Substitute a_{n} by 120 in the rule above

∴ 120 = 15 + 3n

- Subtract 15 from both sides

∴ 105 = 3n

- Divide both sides by 3

∴ n = 35

∴ The number of the row is 35

(b) The 35th row has 120 seats

Learn more:

You can learn more about the sequences in brainly.com/question/7221312

#LearnwithBrainly

6 0
2 years ago
What two integers does 226 lie between?
Bond [772]
0 and 452
The average of 452 and 0 is 226
6 0
3 years ago
Find the y-intercept of the line on the graph.<br> Enter the correct answer.
klio [65]

Answer:

y-intercept =  -1

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Help is greatly appreciated:)
Murrr4er [49]
Well there are 6 units down and 11 units across so 6•11=66. there are 14 red units. 66-14=52. the area of yellow is 52.
4 0
2 years ago
Rewrite the function by completing the square<br><br> h(x)=4x^2+4x+1
lisov135 [29]

Answer:

h(x) = 4(x+\frac{1}{2})^{2}

Step-by-step explanation:

h(x)=4x^2+4x+1\\h(x)=4(x^2+x+\frac{1}{4}) \\h(x)=4(x^2+x+\frac{1}{4})\\h(x) = 4(x+\frac{1}{2})^{2}

8 0
2 years ago
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