Determine whether the data show a linear relationship. If so, write an equation of a line of fit.




The data do not show a linear relationship.
The data do not show a linear relationship.

The data show a linear relationship; The equation is y=4.25x+1.75.
The data show a linear relationship; The equation is y is equal to 4 point 2 5 x plus 1 point 7 5.

The data show a linear relationship; The equation is y=1.75x+4.25.
The data show a linear relationship; The equation is y is equal to 1 point 7 5 x plus 4 point 2 5.

The data show a linear relationship; The equation is y=6x.
The data show a linear relationship; The equation is y is equal to 6 x.

Question 2
If there is a linear relationship, use the selected equation to estimate y when x=15 and interpret its meaning in the context of the situation.

y=
, which means that after
minutes, you have burned
calories.

In case whereby You launch a toy rocket from a height of 5 feet with the  height h, in feet of the rocket t seconds after taking off is given by the formula h = -3t2 + 14t + 5, then the value of t will be 4.67 secs.

The giving equation is h = -3t2 + 14t + 5

where the height h is been given as 5 feet, then we can substitute the value of the height they the expression can be simplified as

5 =  -3t^2 + 14t + 5

Then this equation can be re arranged as :

-3t^2 + 14t + 5 - 5=0

This can as well be expressed as

-3t^2 + 14t = 0

t(-3t + 14)= 0

Then t= 0 and -3t + 14=0

t=14/3 = 4.67 secs

Learn more about rocket from

https://brainly.com/question/18882907

#SPJ1

The average rate of change of y between x=3 and x=7 is 9.

The average rate of change of a function f(x) over an interval [a,b] is given by:

Average rate of change = (f(b)-f(a))/(b-a)

Here, the function is y = 5x + 1 and the interval is [3,7]. Substituting the values in the formula, we get:

Average rate of change = (y(7) - y(3))/(7 - 3)

= (5(7) + 1 - (5(3) + 1))/4

= (36)/4

= 9

know more about function here;

https://brainly.com/question/30721594

#SPJ11

The derivative of the function f(x) = 390 by using the rules of differentiation is f'(x) = 0.

To find the derivative of the function f(x) = 390, we can apply the rules of differentiation.

In this case, the function f(x) = 390 is a constant function, which means it does not depend on the variable x. The derivative of a constant function is always zero.

Therefore, the derivative f'(x) of the function f(x) = 390 is:

f'(x) = 0

The derivative of a constant function is zero because a constant value does not change with respect to the variable x. So regardless of the value of x, the rate of change of the function is always zero.

To know more about derivative, click here: brainly.com/question/29144258

#SPJ11

Answer:

60 minutes

Step-by-step explanation:

You need to continue the straight line to the point (10, 100) and read off the graph for 6 miles.

Answer: ok

Step-by-step explanation: I THINK it E2

Answer:

-6

Step-by-step explanation:

2x-8=-6x-11

Answer: m = -11

Step-by-step explanation:

-3m + 6 = -27

=> -3m = 33

=> m = -11

Answer:

m = 11

Step-by-step explanation:

-3m + 6 = -27

Solve for m

_____________

To solve a question like this, we need to isolate m.

-3m + 6 = -27

Subtract 6 from both sides :

-3m = -33

Divide -3 from both sides to get m by itself :

m = 11

Answer:

d

Step-by-step explanation:

Step-by-step explanation:

Let r be the common root of the given equations.

Then we have:

ar³ + 4r² - 5r - 10 = 0 ...(1)

and

ar³ - 9r - 2 = 0 ... (2)

Subtracting equation (2) from equation (1), we get:

13r² - 3r - 8a = 0

Solving for r using quadratic formula, we get:

r = [3 ± sqrt(9 + 52a)]/26

For r to be a real number, the discriminant of the quadratic expression inside the square root must be non-negative:

9 + 52a ≥ 0

Solving for a, we get:

a ≥ -9/52

Therefore, the possible values of a are all real numbers greater than or equal to -9/52.

The correct answer is \(F \vee ( E \wedge M )\)

Given statement:

Either fortune favors the foolish, or love is eternal and life is meaningless.

Key:F= Fortune favors the foolish.

E = Love is eternal.

M = Life is meaningless.

Translation:    \(F \vee ( E \wedge M )\).

Therefore, the correct Translation is \(F \vee ( E \wedge M )\)

Learn more about this here:

https://brainly.com/question/32809841

#SPJ12

Answer:

d)142º

Step-by-step explanation:

\(\widehat{AB}=2\times71\º=142\º\)

Answer:

The volume of shipping crate is 32 unit cubes.

Step-by-step explanation:

Given that:

Length of the crate = 4 units

Width of the crate = 2 units

Height of the crate = 4 units

Volume of shipping crate = Length * Width * Height

Volume of the crate = 4 * 2 * 4

Volume of crate = 32 unit cubes.

Hence,

The volume of shipping crate is 32 unit cubes.

Answer:

32 units

Step-by-step explanation:

The volume of the square pyramid is: B. One-third s^2h units^3.

An example of a square pyramid is given in the image attached below. It has a square base and 4 triangular faces.

A right pyramid that has a square base has a volume that can be calculated using the following volume formula, given as: 1/3(a² × h), where "a" is the length of the edge of the square base, and "h" is the height of the square pyramid.

Given the following parameters for a square pyramid:

The length of the edge of the square base (a) = s units

The height of the square pyramid = h units.

Plug in the values into 1/3(a² × h) to find the expression that represents the volume of the pyramid:

Volume of the square pyramid = 1/3(a² × h) = 1/3(s² × h)

Volume of the square pyramid = 1/3s²h units ³.

The expression that represents the volume of the square pyramid is: B. One-third s^2h units^3.

Learn more about square pyramid on:

https://brainly.com/question/3688277

#SPJ1

The given statement is true.

Consider linearly independent vectors of \(R_{n}\)

Where n = 2

\(V = \[\begin{array}{ccc}4&\\2\end{array}\right]\)  

\(U = \[\begin{array}{ccc}5&\\6\end{array}\right]\)

Now product of these vectors

UV = 4x5 + 2x6

     = 32

Hence these vectors are not orthogonal.

To learn more about linearly independent vectors visit:

https://brainly.com/question/31328368

#SPJ1

Matthew traveled a total of 22 blocks to complete the journey from his starting point to the store.

Let's break it down into steps:

1. Matthew walked seven and a half city blocks from his starting point to the bus stop.

2. Then he caught the bus and rode 13 blocks. The bus covered this distance, not Matthew himself.

3. After getting off the bus, he walked one and a half blocks to reach the store.

Now, let's calculate the total distance traveled by Matthew:

1. Blocks walked to the bus stop: 7.5 blocks

2. Blocks ridden on the bus: 13 blocks (the bus ride distance)

3. Blocks walked from the bus stop to the store: 1.5 blocks

To calculate the total blocks traveled, we add up the distances:

Total blocks traveled = 7.5 blocks + 13 blocks + 1.5 blocks = 22 blocks

To know more about distance refer here:

https://brainly.com/question/29262574#

#SPJ11

Step-by-step explanation

Let's locate those points into a grid:

Subway stop: (-10, -1)

House: (-18, -16)

We can use Pythagoras theorem to find the distance d (in green in the graph)

But first, we have to find a and b.

a is the vertical distance between your house and the subway stop:

b is the horizontal distance between the subway stop and your house:

By the Pythagoras theorem, the distance d is:

Answer

The distance between your house and the subway stop is 17

Karen should order 41 square meters of carpet, and the cost will be $1,024.59 (taxes included).

An algebraic expression is a mathematical phrase that consists of variables, numbers, and mathematical operations such as addition, subtraction, multiplication, and division. It is a combination of constants, variables, and operators that represent a value or a relationship between values.

For example, "3x + 5" is an algebraic expression where "3" and "5" are constants, "x" is a variable, and "+" is an operator. The expression can be evaluated by substituting a value for "x" and performing the necessary operations.

Algebraic expressions can also be simplified by combining like terms and using the rules of arithmetic to simplify the expression. For instance, the expression "2x + 3x" can be simplified to "5x" by adding the coefficients of the like terms "x".

Algebraic expressions are used extensively in algebra to represent equations and relationships between variables. They are also used in a wide range of mathematical and scientific applications, including physics, engineering, and finance.

To calculate the amount of carpet Karen needs to order, we first need to convert the measurements of her living room from feet to meters:

Length: 18 feet = 5.4864 meters (rounded to four decimal places)

Width: 24 feet = 7.3152 meters (rounded to four decimal places)

To find the area of the living room in square meters, we multiply these two values:

Area: 5.4864 meters x 7.3152 meters = 40.0637 square meters (rounded to four decimal places)

Since Karen can only order full square meters of carpet, she should order 41 square meters (to be safe).

To calculate the cost of the carpet, we simply multiply the area by the cost per square meter:

Cost: 41 square meters x $24.99/square meter = $1,024.59

So Karen should order 41 square meters of carpet, and the cost will be $1,024.59 (taxes included).

To know more about cost visit:

https://brainly.com/question/13542740

#SPJ1

Answer:     Seven hundred thirteen point forty-nine.

Step-by-step explanation:    Hope this helps ;)

Answer:

(2,4)

Step-by-step explanation:

a) Diminishing returns start at x = 1,  where the marginal revenue will be less than the marginal cost

b)At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

a) At what level of advertising spending does diminishing returns start?

Diminishing returns refers to a situation when the marginal return on investment decreases as more resources are devoted to it. For instance, in case of Coffee Junction, increasing the advertising expenditure may lead to higher revenue, but the marginal revenue (revenue generated by each additional dollar spent) will gradually decrease.

b) How much revenue will the company earn at that level of advertising spending?

At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) What does 0≤x≤25 tell us with respect to this problem?

In this problem, 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

To learn more about marginal cost refer:-

https://brainly.com/question/14923834

#SPJ11

\(m = \frac{y2-y1}{x2-x1}\\ m=\frac{4-2}{10-4} \\m = \frac{2}{6} \\\\m=\frac{1}{3}\)

Therefore, the slope of the line is 1/3. In case if you want the equation too.

\(y=mx+b\\y=\frac{1}{3}x+b\\ 2=\frac{1}{3}(4)+b\\ 2=\frac{4}{3}+b\\ b=-\frac{4}{3}+2\\ b=-\frac{4}{3} +\frac{6}{3}\\ b=\frac{2}{3}\)

Therefore, the equation is y=1/3x+2/3

Answer:

false

Step-by-step explanation:

1/8 = .125

2/4 = .5

therefore 1/8 does not = 2/4

Answer:

The z-Table gives the area under the standard normal curve to the left of z. What does the t-Table give? The t-Table gives the area under the t-curve with n degrees of freedom to the left of it

HOPE THIS HELPSSS!

9514 1404 393

Answer:

  55.5 ft

Step-by-step explanation:

In the attached diagram, PH = 50 represents the distance from point P to the house. The length of HT represents the height to the top of the house. The angle at P is the angle of elevation. That angle is adjacent to PH and opposite HT. This means the relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(48°) = HT/(50 ft)

  HT = (50 ft)tan(48°) ≈ 55.53 ft

The height of the house is about 55.5 feet.

Answer:

Step-by-step explanation:

(-5/3)(-5/3)= 25/9= 2 7/9

The slope-intercept equation for the given line is y = 2x + 3

From the question, we are to determine the equation for the line

The slope-intercept form of the equation of a straight line is

y = mx + b

Where m is the slope

and b is the y-intercept

First, we will determine the slope

Slope of the line = (3 - 0) / (1.5 - 0)

Slope of the line = 3/1.5

Slope of the line = 2

∴ m = 2

On the graph, we can observe that the y-intercept is 3

∴ b = 3

Thus,

The equation becomes

y = 2x + 3

Hence, the slope-intercept equation for the given line is y = 2x + 3

Learn more on Equation of a straight line here: https://brainly.com/question/13959234

#SPJ1

Answer:

probably It decreased by 1/2 which is a half

Step-by-step explanation:

In the First quadrants and the third quadrants have the same sign of the x-coordinates and the y-coordinates which is I (+; +), III (−; −).

According to the statement

we have to find that the in In which quadrants do the x-coordinates and the y-coordinates have the same sign.

For this purpose, firstly we know that the

Quadrants are The axes of a two-dimensional Cartesian system divide the plane into four infinite regions, called quadrants, each bounded by two half-axes. These are often numbered from 1st to 4th and denoted by Roman numerals.

And according to the Cartesian system, we know that the

First quadrants have a sign :

I (+; +),

And second quadrants have a sign:

II (−; +),

And third quadrants have a sign:

III (−; −),

and Fourth quadrants have a sign:

IV (+; −).

So, In the First quadrants and the third quadrants have the same sign of the x-coordinates and the y-coordinates which is I (+; +), III (−; −).

Learn more about Quadrants here

https://brainly.com/question/13028517

#SPJ4

Answer:

The coordinates are

2,1

2, 3

4,3

3,1

Step-by-step explanation:

-1/7, since parallel lines have equal slopes.

\(\qquad \qquad\huge \underline{\boxed{\sf Answer}}\)

In the given question ~

Line segments BC and DE are parallel to one another therefore,

The Angles :

\( \longrightarrow \sf \angle ABC = \angle ADE\)

\( \longrightarrow \sf \angle ACB = \angle AED \)

[ By corresponding Angle property ]

Now, in the given figure the Triangles ABC and ADE are similar to one another. by AA criteria of similarity.

since we know, The sides of similar triangles are in equal proportion, let's use the property ~

\(\qquad \sf  \dashrightarrow \: \dfrac{x}{5} = \dfrac{9}{9 + 6} \)

\(\qquad \sf  \dashrightarrow \: x = \dfrac{9}{15} \times 5\)

\(\qquad \sf  \dashrightarrow \: x = \dfrac{9}{3} \)

\(\qquad \sf  \dashrightarrow \: x = 3 \: units\)

The value of x from the figuree is 3

In order to get the value of x we will use the similarity theorem expressed as:

CB/AB = ED/AD

Given the following

CB = x

AB = 9

ED  = 5

AD = 9 + 6 = 15

Substitute

x/9 = 5/15

x/9 = 1/3

3x = 9

x = 3

Hence the value of x from the figuree is 3

Learn more on similar triangle here: https://brainly.com/question/2644832