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Kryger [21]
3 years ago
11

Brian and Emily are testing different paper airplane designs to see which will allow a plane to go the farthest. Emily folds her

plane and attaches a paperclip to the front of it. After she throws the plane, it travels about fifty feet and then starts to fall to the ground. Why does the plane eventually fall to the ground?
The force of air resistance stops acting on the plane.


The plane was not designed to carry a load like a paperclip.


The force of gravity is greater than the force keeping the plane in the air.


The paperclip creates a magnetic force that attracts the plane to the ground.



and actually answer it, answers will be reported if you put random letters.
Mathematics
1 answer:
Inessa [10]3 years ago
4 0

Answer:

It will be B I guess

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A person measured the depth of water in a bathtub at two minute intervals after the tap was turned on. Use the line of best fit
Leto [7]

Answer:

The Depth of water in the bathtub initially = 2 cm

Step-by-step explanation:

For this question, we want to f8nd the amount of water present in the bathtub at time t = 0 using line of best fit, that is, linear regression analysis.

The table provided shows that the depth of water in the bathtub (y) changes as time (x) progresses.

Time (min) (x) | 2 | 4 | 6 | 8 | 10 | 12 | | 14

Depth (cm) (y) | 8 | 15 | 29 | 37 | 39 | 49 | 55

Running the analysis on a spreadsheet application, like excel, the table of parameters is obtained and presented in the first attached image to this solution.

Σxᵢ = sum of all the independent variables (sum of all the time data)

Σyᵢ = sum of all the dependent variables (sum of all the depth data)

Σxᵢyᵢ = sum of the product of each dependent variable and its corresponding independent variable

Σxᵢ² = sum of the square of each independent variable (time data)

Σyᵢ² = sum of the square of each dependent variable (depth data)

n = number of variables = 7

The scatter plot and the line of best fit is presented in the second attached image to this solution

Then the regression analysis is then done

Slope; m = [n×Σxᵢyᵢ - (Σxᵢ)×(Σyᵢ)] / [nΣxᵢ² - (∑xi)²]

Intercept b = [Σyᵢ - m×(Σxᵢ)] / n

Mean of x = (Σxᵢ)/n

Mean of y = (Σyᵢ) / n

Sample correlation coefficient r: r =

[n*Σxᵢyᵢ - (Σxᵢ)(Σyᵢ)] ÷ {√([n*Σxᵢ² - (Σxᵢ)²][n*Σyᵢ² - (Σyᵢ)²])}

And -1 ≤ r ≤ +1

All of these formulas are properly presented in the third attached image to this answer

The table of results; mean of x, mean of y, intercept, slope, regression equation and sample coefficient is presented in the fourth attached image to this answer.

The linear regression equation obtained is then

y = 3.911x + 1.857

at a regression coefficient of 0.987 (the closer the value is to 1, the more accurate the equation obtained)

So, the Depth of water in the bathtub initially, that is, when t = x= 0,

y = 3.911x + 1.857

y = 3.911(0) + 1.857 = 1.857 cm = 2 cm to the nearest integer.

Hope this Helps!!!

3 0
3 years ago
What is the equation of this trend line?
solmaris [256]

Equation of this line is K = -2J + 28

<u>Step-by-step explanation:</u>

Step 1:

The equation can be written in slope intercept form which is y = mx + b

Step 2:

Calculate slope of the line, m = (y2 - y1)/(x2 - x1)

⇒ m = (24 - 20)/(2 - 4) = 4/-2) = -2

Step 3:

Find y-intercept of the line

⇒ b = 28

Step 4:

Substitute values in the equation

⇒ K = -2J + 28

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son4ous [18]

Answer:

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dangina [55]

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The period is -2 pi

The phase shift is pi

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The period is -4pi

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What are the domain, range, and asymptote of h(x) = (0.5)x – 9?
Rzqust [24]

Let's solve for h

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hx/x = 0.5x - 9/ x

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