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4 years ago

What are the explicit equation and domain for an arithmetic sequence with a first term of 7 and a second term of 3?

1 answer:

5 0

I am detailing it to show you how to calculate an explicite equation

Arithmetic Progression First term 7 , second 3 hence d=3-7 = - 4

n=Term rank ==>║ 1 2 3 4 5 6 7......n
Value ====>║ 7 3 -1 -5 -9 -13 -17.......

a(n) (sub Notation║ a₁ a₂ a₃ a₄ a₅ a₆ a₇.....a(n)

Term 1 = a₁ = 7........................7-4(0)
Term 2 = a₂ = 3........................7-4(1)
Term 3 = a₃ = -1.......................7-4(2)
Term 4 = a₄ = -5.......................7-4(3)
Term 5 = a₅ = -9.......................7-4(4)
Term n = a(n) ============7-4(n-1)
So A. an = 7 − 4(n − 1); all integers where n ≥ 1

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The temperature was 8 degrees Celsius at midnight.

Pavel [41]

Answer:

-4 degrees Celsius

Step-by-step explanation:

start at 8

subtract 12 from 8

8-12=-4

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3 years ago

Read 2 more answers

If the present value of an item is P

lisov135 [29]

inflation means, the same item costs more however is the same item, so if a tomato in January 1st costs $1 and by December 31st it costs $2, the price went up by twice, however is same tomato, it didn't become twice as large, anyhow, inflation eats away value and thus is a Decay case.

$\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &100\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=\textit{elapsed time}\dotfill &15\\ \end{cases} \\\\\\ A=100(1 - 0.04)^{15}\implies A=100(0.96)^{15}\implies A\approx 54.21$

6 0

2 years ago

If a family eats out 4 nights a week, what is the ratio of eating out nights to not eating out nights per week?

hjlf

Answer: 4:3

eats out : not eating out

Step-by-step explanation:

so theres 7 days in a week so you do simple subtraction and do 7-4=3

then you get the remaining days of the week that you dont eat out.

4 0

3 years ago

Please help me calculate the volume

vaieri [72.5K]

Multiply base times height and your answer should be without decimals it would be 1,056 with decimals it would be 1.56. Hope this helps!

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3 years ago

Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of s

Elenna [48]

I will rewrite the question for better understanding:

Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of samples in her neighborhood. It takes Ashley 2/3 of a minute to prepare one bag. It takes each of her friends 75% longer to prepare a bag. How many hours will it take Ashley and 4 of her friends to prepare 1575 bags of samples?

Answer:

5.3 hours

Explanation:

1) Time it takes Ashley to preprate one bag:

2/3 min

2) Time it takes each friend of Ashley: 75% more than 2/3 min

75% × 2/3 min = 0.75 × 2/3 min = 3/4 × 2/3 min= 2/4 min = 1/2 min = 0.5 min

2/3 min + 1/2 min = 7/6 min

3) Time it takes Ashley and the 4 friends working along to prepare one bag:

Convert each time into a rate, since you can set that the total rate of Ashley along with her four friends is equal to the sum of each rate:

Rate of Ashley: 1 bag / (2/3) min = 3/2 bag/min

Rate of each friend: 1 bag / (7/6) min = 6/7 bag/min

Rate of Ashley and 4 friends = 3/2 bag/min + 4 × 6/7 bag/min = (3/2 +24/7) bag/min = 69/14 bag/min

4) Time of prepare 1575 bags of samples:

time = number of bags / number of bags per min = 1,575 bags / (69/14) bags/min = 319.56 min

5) Convert minutes to hours:

356.56 min × 1 hour / 60 min = 5.3 hours

3 0

3 years ago