What is the relationship between these two values? 8 and 400

Answers

Answer 1
Answer:

Final answer:

The numbers 8 and 400 have different orders of magnitude. They also possess a ratio relationship, with 400 being 50 times bigger than 8. While not directly related through square and square root, both numbers share these relationships with other numbers.

Explanation:

The relationship between the values 8 and 400 can be understood through the concept of order of magnitude in mathematics. The order of magnitude is a rough measure of the size of a number, typically based on powers of 10.

An important factor in analyzing this relationship is understanding the concept of ratio and interval level data. Unlike interval level data, the ratio between the numbers, in this case 8 and 400, carries meaningful information in a ratio scale data. In this case, 400 is 50 times bigger than 8.

Another mathematical relationship between 8 and 400 is square and square root, since 400 is the square of 20, and 8 is the square root of 64. So, although there is no direct square or square root relationship between 8 and 400, they share these relationships with other numbers.

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Answer 2
Answer:

Answer:

They both come in the 8 times table.


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Nielsen Media Research wants to estimate the mean amount of time, in minutes, that full-time college students spend texting each weekday.Find the sample size necessary to estimate that mean with a 15 minute margin of error. Assume that a 96% confidence level is desired and that the standard deviation is estimated to be 112.2 minutes.

There are two different music download companies that offer a monthly plan for downloading songs. S-Jams charges $1.29 per song plus $10 monthly fee. C-tunes charges $0.99 per song plus $16 monthly fee. When will the company’s plans cost the same? Write an expression for the cost of S-Jams.

Answers

Answer:

Thus, when both S-jams and C-tunes have 20 songs downloaded in a month  , the cost will be same.

an expression for the cost of S-Jams $0.99n + $16

Step-by-step explanation:

For

S-Jams

cost of 1 song = $1.29

let there be n songs downloaded in a month

then

cost of n songs = n*cost of 1 song  = $1.29n

monthly fee = $10

Total cost of S-Jams = $1.29n+$10

________________________________________

For

C-Tunes

cost of 1 song = $0.99

let there be n songs downloaded in a month

then

cost of n songs = n*cost of 1 song  = $0.99n

monthly fee = $16

Total cost for C-Tunes= $0.99n + $16

we have to find When will the company’s plans cost the same.

Total cost of S-Jams = Total cost of C- Tunes

1.29n+10 = 0.99n + 16

=> 1.29n - 0.99n = 16-10

=> 0.30n = 6

=> n = 6/0.3 = 20

Thus, when both S-jams and C-tunes have 20 songs downloaded in a month  , the cost will be same.

an expression for the cost of S-Jams $0.99n + $16

You and a friend both leave the same restaurant to drive home. You are heading directly west at 30 miles per hour and he or she is heading directly south at 40 miles per hour. After half an hour, how fast (in mph) is the distance between you changing? Do not include units in your answer.

Answers

Answer:

  50

Step-by-step explanation:

The distance between the friends is changing at the constant rate of 50 mph.

___

The equation for the distance in the westerly direction is ...

  w = 30t . . . . . miles, where t is time in hours

The equation for the distance in the southerly direction is ...

  s = 40t . . . . . miles, where t is time in hours

Then the total distance between the friends is ...

  d = √((30t)² + (40t)²) = √(2500t²) = 50t  . . . . miles, where t is time in hours

And the rate of change of distance is the derivative of this with respect to t:

  dd/dt = 50 . . . . . . miles per hour

For his long distance phone service, Bill pays a $3 monthly fee plus 11 cents per minute. Last month, Bill's long distance bill was $16.09. For how many minutes was Bill billed?

Answers

Answer:

1.19 minutes

Step-by-step explanation:

First, subtract the $3 monthly fee:

16.09 - 3

= 13.09

Then, divide this by 11:

13.09/11

= 1.19

So, he was billed for 1.19 minutes

Abigail invested $29,000 in an account paying an interest rate of 2.1% compoundedcontinuously. Assuming no deposits or withdrawals are made, how much money, to
the nearest dollar, would be in the account after 8 years?

Answers

Final answer:

Abigail can find out how much money she will have after 8 years continuously compounding interest by using the formula A = P*e^(rt), where A is the final amount, P is the principal ($29,000), r is the interest rate (0.021), and t is time in years (8). Once the values are inserted into the formula, it can be solved to find the total amount.

Explanation:

The problem that Abigail is facing can be solved using the continuous compound interest formula which is A = P*e^(rt). Here, A stands for the amount of money in the account after t years, P is the principal amount (the initial amount of money), r represents the annual interest rate (expressed as a decimal), and t is time in years. In this context:

  • P = $29,000
  • r = 2.1 /100 = 0.021
  • t = 8 years

Plug in these values into the formula:

A = 29000 * e^(0.021 * 8)

When calculated this would give the total amount to the nearest dollar.

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9,16,25,36 arithmetic or geometric?24,18,12,arithmetic or geometric?
500,100,20 ,4 arithmetic or geometric?

Answers

Answer:

9,16,25,36 neither, 24,18,12 arithmetic, 500,100,20 ,4 geometric

Step-by-step explanation:

1. has no common number

2. goes down by 6 each time

3. is divided by 5 each time

The number line below shows points A B C D and Ea. subtracting 2 from point e
b. adding -4 to point b
c. adding -9 to point a
d. subtracting 14 from point c​

Answers

the answer to this is B