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3 years ago

How to tell if speed is increasing or decreasing calculus?

1 answer:

6 0

You will need data that logs the changes in speed from various, consecutive events. Which you can use to calculate the difference in speed and determine wether the speed is increasing or increasing.

Otherwise, you only need the initial and finak value to find the difference.

$final \: - \: initial \: = \: difference$

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The average of eight numbers is 56. When one of the numbers was left out, the mean decreased to 54. What number was left out?

Alexandra [31]

The number that was left out is 70.

<h3>What is the number that was left out?</h3>

Average is the sum of a set of numbers divided by the total numbers in the data set.

Average = sum of numbers / total numbers

Sum of numbers when there are 8 numbers = 56 x 8 = 448
Sum of numbers when there are 7 numbers = 54 x 7 = 378
Difference = 448 - 378 = 70

To learn more about average, please check: brainly.com/question/25842202

#SPJ1

4 0

2 years ago

Solve 2x+3y=2<br> 5x-y=-29<br> By elimination

Andreyy89

Answer:

$\huge\boxed{x=-5,\ y=4\to(-5,\ 4)}$

Step-by-step explanation:

$\left\{\begin{array}{ccc}2x+3y=2\\5x-y=-29&\text{multiply both sides by 3}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}2x+3y=2\\15x-3y=-87\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad17x=-85\qquad\text{divide both sides by 17}\\.\qquad\dfrac{17x}{17}=\dfrac{-85}{17}\\.\qquad\boxed{x=-5}\\\\\text{Substitute it to the second equation:}\\\\5(-5)-y=-29\\\\-25-y=-29\qquad\text{add 25 to both sides}\\\\-25+25-y=-29+25\\\\-y=-4\qquad\text{change the signs}\\\\\boxed{y=4}$

5 0

3 years ago

What do the following two equations represent?

noname [10]

Answer:

It parallel line.

Step-by-step explanation:

7 0

3 years ago

what is the answer to 18 2/5 - 9 13/ 15 andb 28 3/9 - 19 5/6. Plz help her now!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

wel

8 and 8/15 or 128/15 and 8.5

4 0

3 years ago

Which weights are within 2 standard deviations of the mean? select three options. 8.4 lbs 8.9 lbs 9.5 lbs 10.4 lbs 10.9 lbs

djverab [1.8K]

The weights are within 2 standard deviations of the mean are 8.9 lbs, 9.5 lbs and 10.4 lbs

<h3>How to determine the weights?</h3>

The given parameters are:

Mean, μ = 9.5
Standard deviation, σ = 0.5

The weights within 2 standard deviation is represented as:

μ - 2σ ≤ x ≤ μ + 2σ

Substitute known values

9.5 - 2(0.5) ≤ x ≤ 9.5 + 2(0.5)

Evaluate the product

9.5 - 1 ≤ x ≤ 9.5 + 1

Evaluate the sum

8.5 ≤ x ≤ 10.5

This means that the weights are between 8.5 and 10.5 (inclusive)

Hence, the weights are within 2 standard deviations of the mean are 8.9 lbs, 9.5 lbs and 10.4 lbs

Read more about standard deviation at:

brainly.com/question/11743583

5 0

2 years ago