Find the slope of the line that passes through (6, 1) and (10, 8).

Find The Slope Of The Line That Passes Through (6, 1) And (10, 8).

Answers

Answer 1

The slope of the line that passes through (6, 1) and (10, 8) is 7 / 4.

How to find the slope of a line?

The slope of a line is the change in dependent variable with respect to the change in the independent variable. The slope of a line is rise over run.

In other words, the slope of a line is a measure of its steepness.

Hence, let's find the slope of the line that passes through (6, 1) and (10, 8).

Therefore,

slope = Δy / Δx

slope = y₂ - y₁ / x₂ - x₁

x₁ = 6

x₂ = 10

y₁ = 1

y₂ = 8

Therefore,

slope = 8 - 1 / 10 - 6

slope = 7 / 4

learn more on slope here: https://brainly.com/question/11610703

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Answer 2

Answer: 7/4 is the slope


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How many more dollars will Jacob earn on each skateboard deck if he switches to the new material? Explain how you found your answer. (5 points)

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What is the volume of this composite solid?

Answers

Answer:

A: 64 cubic meters

Step-by-step explanation:

Multiply 7m, 2m, and 4m. You get 56

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How much is Hamal earning per hour??

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answer

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Step-by-step explanation:

root 15 =3.87 and it is closer to root 4

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Answers

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Right triangle Pythagorean theorem

Answers

Answer:

6

Step-by-step explanation:

It's 6. The Pythagorean Theorem details how to find the length of a right triangle's hypotenuse.

The equation is a² + b² = c²

C is the length of the hypotenuse. The side lengths you have are a leg as 8 and hypotenuse as 10. By substituting these values into the equation, we get 8² + b² = 10²

Therefore, 64 + b² =100

So b² = 36

By square rooting both sides we finally reach the answer b=6.

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Write an equation of the line that passes through the given points.
(-2,8) and (1, -1)

Answers

/Answer:

Short Answer Type:

P1 - (-2,8)

P2 - (1,1)

Slope: (1 - 8) / (1 + 2)

=> -7/3

Therefore: 1 = -7/3 + c

=> 10/3 = c

Therefore equation: y = -7x/3 + 10/3

solve with solution
1. A cow is tied to a tree using a rope. The rope measures 5m. How many
meters can the cow walk around the tree?

Answers

Answer:

It sounds like you want the circumference of a circle with a 5m radius.

C = 2πr = 2(3.14)(5) = 31.4 m

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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When Bruce won a contest, he got a bronze medal with a radius
of 5 centimeters. What is the medal's diameter?

Answers

Answer:

10 centimeters

Step-by-step explanation:

diameter = 2r

r = radius

diameter = 2(5cm)

diameter = 10 cm

Which statement is true about the equation (x – 4)(x + 2) = 16? O The equation x - 4 = 16 can be used to solve for a solution of the given equation. O The standard form of the equation is x2 - 2x - 8 = 0. O The factored form of the equation is (x + 4)(x - 6) = 0. O One solution of the equation is x = -6. vity​

Answers

Answer:

The factored form of the equation is (x + 4)(x - 6) = 0

Step-by-step explanation:

(x - 4)(x + 2) = 16

[tex]x^{2} -2x - 8 = 16[/tex]

[tex]x^{2} -2x - 24[/tex] = 0

(x - 6)(x + 4) = 0

x = 6  or x = -4

Send
# 84 square inches
4
4. Luke has a cylinder with a radius of 5 inches and a height of 6 inches. What is the total.
surface area of his cylinder in cubic inches? 8.7B-R
F
G
345.6 in?
251.3 in?
188.5 in
471.2 in?
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Server time: 4/30/2021, 1:14:30 AM (637.50)
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Answers

Complete Question

Luke has a cylinder with a radius of 5 inches and a height of 6 inches. What is the volume of his cylinder in cubic inches?

Answer:

471.24 cubic inches

Step-by-step explanation:

The formula for the volume of a cylinder =

πr²h

r = Radius = 5 in

h = Height = 6 in

Hence,

Volume = π × (5 in)² × 6 in

= 471.24 cubic inches

Therefore, the volume of his cylinder in cubic inches = 471.24 cubic inches

Trisha helped clean up her neighborhood by picking up plastic she collected 3/4 pound of plastic the first day and 1/6 pound of plastic the second day how much more trash did she collect the first day than the second day?

Answers

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

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D) [tex]-2\sqrt{3}[/tex]

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Answer:

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Step-by-step explanation:

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A tree that is 8 feet tall is growing at a rate of 2 feet each year. A tree that is 16 feet tall is growing at a rate of 1 1/2 feet each year. Enter the number of years it will take the two trees to reach the same height

Answers

Answer: 8.

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It takes 8 years fort the 10 ft tree to be:16

This is because you do:

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It takes 8 years for the 8 food tree to be: 16

You do:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Answer:

when the first equation was multiplied by 2, the -22 did not get multiplied by 2

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Step-by-step explanation:

The box plots summarize the attendance for the spring musical and the fall musical. Each musical was performed for six evenings.

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A recent article in Business Week listed the "Best Small Companies." We are interested in the current results of the companies' sales and earnings. A random sample of 8 companies was selected and the sales and earnings, in millions of dollars, are reported below. Sales ($million) 89.2 18.6 18.2 71.7 58.6 46.8 17.5 11.9 Earnings ($million) 4.9 4.4 1.3 8 6.6 4.1 2.6 1.7 Let sales be the independent variable and earnings be the dependent variable. (i) Determine the estimated regression equation and comment on the coefficient of X. (ii) For a small company with $50.0 million in sales, estimate the earnings. (iii) Calculate the standard error of estimate and comment on it. (iv) Find the coefficient of determination and interpret the result.

Answers

Answer:

(i) The estimated regression equation is;

[tex]\hat y[/tex] ≈ 1.6896 + 0.0604·X

The coefficient of 'X' indicates that [tex]\hat y[/tex] increase by a multiple of 0.0604 for each million dollar increase in sales, X

(ii) The estimated earnings for the company is approximately $4.7096 million

(iii) The standard error of estimate is approximately 29.34

The high standard error of estimate indicates that individual mean do not accurately represent the population mean

(iv) The coefficient of determination is approximately 0.57925

The coefficient of determination indicates that the probability of the coordinate of a new point of data to be located on the line is 0.57925

Step-by-step explanation:

The given data is presented as follows;

[tex]\begin{array}{ccc}Sales \ (\$million)&&Earning \ (\$million) \\89.2&&4.9\\18.6&&4.4\\18.2&&1.3\\71.7&&8\\58.6&&6.6\\46.8&&4.1\\17.5&&2.6\\11.9&&1.7\end{array}[/tex]

(i) From the data, we have;

The regression equation can be presented as follows;

[tex]\hat y[/tex] = b₀ + b₁·x

Where;

b₁ = The slope given as follows;

[tex]b_1 = \dfrac{\Sigma(x_i - \overline x) \cdot (y_i - \overline y)}{\Sigma(x_i - \overline x)^2}[/tex]

b₀ = [tex]\overline y[/tex] - b₁·[tex]\overline x[/tex]

From the data, we have;

[tex]{\Sigma(x_i - \overline x) \cdot (y_i - \overline y)}[/tex] = 364.05

[tex]\Sigma(x_i - \overline x)^2}[/tex] = 6,027.259

[tex]\overline y[/tex] = 4.2

[tex]\overline x[/tex] = 41.5625

∴ b₁ = 364.05/6,027.259 ≈ 0.06040059005

b₀ = 4.2 - 0.06040059005 × 41.5625 ≈ 1.68960047605 ≈ 1.69

Therefore, we have the regression equation as follows;

[tex]\hat y[/tex] ≈ 1.6896 + 0.0604·X

The coefficient of 'X' indicates that the earnings increase by a multiple of 0.0604 for each million dollar increase in sales

(ii) For the small company, we have;

X = $50.0 million, therefore, we get;

[tex]\hat y[/tex] = 1.6896 + 0.0604 × 50 = 4.7096

The estimated earnings for the company, [tex]\hat y[/tex] = 4.7096 million

(iii) The standard error of estimate, σ, is given by the following formula;

[tex]\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu \right )^{2} }{n - 1}}[/tex]

Where;

n = The sample size

Therefore, we have;

[tex]\sigma =\sqrt{\dfrac{6,027.259 }{8 - 1}} \approx 29.34[/tex]

The standard error of estimate, σ ≈ 29.34

The high standard error of estimate indicates that it is very unlikely that a given mean value within the data is a representation of the true population mean

(iv) The coefficient of determination (R Square) is given as follows;

[tex]R^2 = \dfrac{SSR}{SST}[/tex]

Where;

SSR = The Sum of Squared Regression ≈ 21.9884

SST = The total variation in the sample ≈ 37.96

Therefore, R² ≈ 21.9884/37.96 ≈ 0.57925

The coefficient of determination, R² ≈ 0.57925.

Therefore, by the coefficient of determination, the likelihood of a new introduced data point to located on the line is 0.57925

Find the derivative of
y = 1/ (3x^3) with steps

Answers

Answer:

[tex] - 9 {x}^{ - 4} [/tex]

Step-by-step explanation:

[tex]y = \frac{1}{ {3x}^{3} } = {3x}^{ - 3} [/tex]

[tex]y = < - 3 \times 3 > {x}^{ - 3 - 1} \\ = - 9 {x}^{ - 4} [/tex]

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