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patriot [66]
3 years ago
6

Weighing about a ton on their 14th birthday, the average T-Rex grew 4.6 pounds per day from the age 14 to 18 years! Write a form

ula for this arithmetic sequence.
Mathematics
1 answer:
erica [24]3 years ago
7 0

Answer:

The formula for this arithmetic sequence: a_{n}= 2000 + 4.6n

Step-by-step explanation:

As

  • weighing about a ton on their 14th birthday, weighing about a ton on their 14th birthday, the average T-Rex grew 4.6 pounds per day from the age 14 to 18 years.

Let the general term a_{n} of the arithmetic sequence represent the weight in tons of the T-Rex where n  is the number of days.

Therefore, the formula for this arithmetic sequence:

a_{n}= 2000 + 4.6n

Keywords: arithmetic sequence

Learn more about arithmetic sequence from brainly.com/question/11908808

#learnwithBrainly

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Answer:

Part A:

(1) x + y = 95

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Part B:

The number of minutes Eric spends playing volleyball each day is 35 minutes

Part C:

It is not possible for Eric to have spent exactly 35 minutes playing basketball

Step-by-step explanation:

The total time Eric plays basketball and volleyball = 95 minutes

The time duration Eric plays basket ball = x

The time duration Eric plays volleyball = y

Part A:

The pair of relationships between the number of minutes Eric plays basketball (x) and the number of minutes he plays volleyball (y) are;

(1) x + y = 95

(2) x = y + 25

Part B:

By substituting the value of x in equation (2) into equation (1), we have;

x + y = (y + 25) + y = 95

2·y + 25 = 95

2·y = 95 - 25 = 70

y = 70/2 = 35 minutes

Therefore, Eric spends 35 minutes playing volleyball every day

Part C:

It is not possible for Eric to have spent only 35 minutes playing basketball because, given that he plays basketball for 25 minutes longer than he plays volley, the number of minutes he spends playing volleyball will then be given as follows;

x = y + 25

35 = y + 25

y = 35 - 25 = 10 minutes

The total time = x + y = 10 + 35 = 45 minutes ≠ 95 minutes.

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