a.write an equation to model the relationship
b.explain how you know if an equation or a graph represents a proportional relationship ​

Answer:

Step-by-step explanation:

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K B.

Fort Collins, CO

0223

6/18/2015

wonderful cinnamon rolls and sticky buns, so glad we stopped on our way thru town.

It's a small little place in  residential area, not far from a main road, definitely worth stopping by for a delicious treat!

Kaitlin J.

Cedar Grove, Panama City, FL

016

8/27/2020

2 photos

Erin is so friendly and truly a master of her trade! We ordered a cake shaped like a suitcase (complete with fondant flight attendant) as a surprise for our mom's retirement party. It turned out even better than we could have ever expected with the best hand-painted intricate details. She really went above and beyond, and the carrot cake was absolutely delicious!! We are all still so impressed. We just had such a great experience from start to finish--Erin is so friendly and easy to work with. She made our vision come to life and at an incredibly reasonable price. I can't recommend her bakery enough!

Answer: 5.5

Step-by-step explanation:

Answer:

x>

Step-by-step explanation:

x>

A number a:

a

is more than 6

< 6

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!

The two boats will be 120 miles apart in five hours.

We need to find the time at which the boats will be 120 miles apart from each other.

It has been given that the total distance is 120 miles.

Now, let's take up the following assumptions in order to arrive at the time taken by two boats to cover the requisite distance:-

Let x= distance traveled by boat 1 at 10 miles per hour.

Let y= distance traveled by boat 2 at 14 miles per hour.

Thus, x+y=120(given)------(i) [That is, distance travelled by boat 1+ Distance travelled by boat 2= Total Distance]

Let t denote the time factor,

then, Boat 1 will travel x miles in T hours, and the Boat 2 will travel y miles in T hours.

We know, Distance= Rate * Time

Thus,  we can say, x= 10*T---------------(ii)

                               y=14*T-----------------(iii)

Adding equations ii and iii, we get

x+y=24T----------------(iv)

Now, subtracting equation (iv) from (i), we get

24T-120=0

24T= 120

thus, we get t=5

Hence, the time taken by two boats, to be 120 miles apart is five hours.

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By using the concept of null space of a matrix, it can be calculated that

Nullspace of A = [tex]\{ \begin{bmatrix} 3 \\ 1 \\0 \\ 0\\0 \end{bmatrix} , \begin{bmatrix} 3 \\ 0 \\-4 \\ 1\\0 \end{bmatrix}\}[/tex]

What is Nullspace of a matrix?

Nullspace of a matrix A is the solution of the equation AX= 0 where 0 is the zero matrix

[tex]\begin{bmatrix} 1 & -3 & 0 & -3 & 0 \\ 0 & 0 & 1 & 4 & 0 \\0 & 0 & 0 & 0 & -1 \end{bmatrix} \begin{bmatrix} x \\ y \\z \\w \\t \end{bmatrix}[/tex]

We need to find Ax = 0

[tex]\begin{bmatrix} 1 & -3 & 0 & -3 & 0 \\ 0 & 0 & 1 & 4 & 0 \\0 & 0 & 0 & 0 & -1 \end{bmatrix} \begin{bmatrix} x \\ y \\z \\w \\t \end{bmatrix} = \begin{bmatrix} 0 \\ 0 \\0 \end{bmatrix}[/tex]

x - 3y - 3w = 0

x = 3y + 3w

z + 4w = 0

z = -4w

-t =  0

t = 0

[tex]\begin{bmatrix} x \\ y \\z \\w \\t \end{bmatrix} = \begin{bmatrix} 3y + 3w\\ y \\-4w \\ w\\0 \end{bmatrix}\\\\y \begin{bmatrix} 3 \\ 1 \\0 \\ 0\\0 \end{bmatrix} + w \begin{bmatrix} 3 \\ 0 \\-4 \\ 1\\0 \end{bmatrix}[/tex]

Nullspace of A = [tex]\{ \begin{bmatrix} 3 \\ 1 \\0 \\ 0\\0 \end{bmatrix} , \begin{bmatrix} 3 \\ 0 \\-4 \\ 1\\0 \end{bmatrix}\}[/tex]

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Complete Question

The complete question has been attached

We know that in statistics, the Type II error happens when the null hypothesis is false but fails to get rejected.

Type II error in this scenario will be when the researcher claim 65% of college students will graduate with debt is false but fails to be rejected.

A type II error is a statistical term used within the context of hypothesis testing that describes the error that occurs when one fails to reject a null hypothesis that is actually false. A type II error produces a false negative, also known as an error of omission.

For example, a test for a disease may report a negative result when the patient is infected. This is a type II error because we accept the conclusion of the test as negative, even though it is incorrect.

A Type II error can be contrasted with a type I error is the rejection of a true null hypothesis, whereas a type II error describes the error that occurs when one fails to reject a null hypothesis that is actually false. The error rejects the alternative hypothesis, even though it does not occur due to chance.

Given : The null hypothesis, , is: researchers claim that 65% of college students will graduate with debt.

Then , Type II error in this scenario will be when the researcher claim 65% of college students will graduate with debt is false but fails to be rejected.

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The value of the required integral is 50π  where C is the positively oriented circle x2+y2=25

We are given a vector F = -yi + xj. A vector is a quantity with magnitude and direction that is commonly represented by a directed line segment, with length representing magnitude and orientation in space representing direction. We need to use the tangential vector form of Green's Theorem to compute the circulation integral ∫CF⋅dr where C is the positively oriented circle x² + y² = 25

Let the value of the integral be represented by the variable "I".

I = ∫∫[(/x)(x) - (/y)(-y)]dA

I = ∫∫[(1 - (-1)]dA

I = ∫∫2dA

I = 2∫∫dA

I = 2×(Area of the circle)

I = 2*(πr²)

I = 2*(π*25)

I = 50π

Hence, the value of the required integral is 50π.

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Surface are increasing at the rate of 8 square feet per second.

What is a sphere?

A sphere is a geometrical object that resembles a two-dimensional circle in three dimensions. In three-dimensional space, a sphere is a collection of points that are all located at the same r-distance from a single point. The radius of the sphere is equal to r, and the provided point is its centre.

Volume(V) = [tex]4\pi r^3[/tex]

            [tex]\frac{dV}{dt} =\frac{4\pi }{3} \times3r^2\times\frac{dr}{dt} =4\pi r^2.\frac{dr}{dt} \\\\\boxed{\frac{dr}{dt} =\frac{1}{4\pi r^2} (\frac{dV}{dt} )}[/tex]

             [tex]V=36\pi \\\\\frac{4}{3} \pi r^3=36\pi \\\\r^3=\frac{108}{4} =27\\\\\boxed{r=3}\\\\\boxed{\frac{dV}{dt} =12}[/tex]

Surface area(S) = [tex]4\pi r^2[/tex]

                        [tex]\frac{dS}{dr} =8\pi r\times\frac{dr}{dt} \\\\\frac{dS}{dt} =\frac{8\pi r}{4\pi r^2} \times\frac{dr}{dt}\\\\ \frac{dS}{dt}=\frac{2}{r} \times \frac{dV}{dt} =\frac{2}{3} \times12=8\\\\\boxed{\frac{dS}{dt} =8}[/tex]

Hence, the surface area increasing at the rate of 8 square feet per second.

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Answer:

a. El auto pesado ganará, ya que debido a su mayor masa tendrá una mayor fuerza de arrastre.

b. El auto ligero se detendrá en menos tiempo, debido a que su masa es menor, lo cual significa que tendrá una menor resistencia al movimiento.

Step-by-step explanation:

We have demonstrated the definition of an isosceles triangle.

What is an isosceles triangle?

An isosceles triangle is a triangle with at least two equal-length sides in geometry. It is sometimes specified as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter version including the equilateral triangle as a special case.

The isosceles triangle has both two equal sides and two equal angles. The name derives from the Greek iso (same) and Skelos (leg). A triangle with all sides equal is called an equilateral triangle, and a triangle with no sides equal is called a scalene triangle.

The given diagram shows an isosceles triangle.

Hence, we have demonstrated the definition of an isosceles triangle.

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Taking into account the definition of a system of linear equations, Finally, the investor owns 80 and 120 shares of Stock A and B respectively.

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

A solution to a system is an assignment of values to the unknowns that makes each of the equations true. Solving a system means finding all the solutions of the system.

In this case, a system of linear equations must be proposed taking into account that:

You know:

The system of equations to be solved is:

A + B= 200

9.50A +27B= 4000

There are several methods to solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, isolating the variable "A" from the first equation you get:

A= 200 - B

Substituting the expression in the second equation:

9.50× (200 - B) +27B= 4000

Solving:

9.50×200 - 9.50B +27B= 4000

1900 - 9.50B +27B= 4000

- 9.50B +27B= 4000 - 1900

17.5B= 2100

B= 2100÷ 17.5

B= 120

Substituting this value in the expression A=200 - B you get:

A= 200 - 120

A= 80

Finally, the investor owns 80 shares of Stock A and 120 shares of Stock B.

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Answer:

Below

Step-by-step explanation:

a = 1   b = 5    c  = 5

Using these values in the Quadratic Formula given results in zeroes of

x =    -5/2 ± sqrt (5) / 2

Probability of two black Erminette chickens crossed is equal to 1/4.

As given in the question,

Erminette chickens are basically a chicken with a gene of black and white feathers.

There are two groups of chicken black feather chicken and white feather chicken.

All possible outcomes when Erminette chicken crossed each other are:

= { BB , BW, WB, WW}

Total number of outcomes are = 4

Favourable outcomes are ={ BB }

Number of favourable outcomes = 1

Probability of two black Erminette chickens crossed each other

= ( Favourable outcomes) / ( Total number of outcomes )

= 1 / 4

Therefore, probability of two black Erminette chickens crossed each other with the given condition is equal to 1/ 4.

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The number of rides is the dependent variable, while the total cost is the independent variable.

In mathematical modeling, statistical modeling, and experimental sciences, there are dependent and independent variables. Dependent variables get their name because, during an experiment, their values are investigated under the presumption or requirement that they are dependent on the values of other variables according to some law or rule.

The variable that the researcher modifies or manipulates in an experiment is known as the independent variable. The measured reaction is the dependent variable. The dependent variable is dependent on the change in the independent variable, to put it another way.

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Answer:

Step-by-step explanation:

x is increasing by 2

y is decreasing by 4

Rise over run:

-4/2 --> -2

Answer: I believe the answer is -2

After solving,  41.67 Hz wing beats the dragonfly performs per second.

In the given question, if the video is shot at 190 frames per second, then we have to find how many wing beats the dragonfly performs per second.

From the given question,

Frames per one wing beat = 6 frames

Video shot at = 250 frames per second

We firstly find the time period

So, Time period (T) = 6/250

T= 0.024 s

Snce we have to find how many wing beats the dragonfly performs per second.

Per second number of wing beats = 1/T

Per second number of wing beats = 1/0.024

Per second number of wing beats = 41.67 Hz

Hence, 41.67 Hz wing beats the dragonfly performs per second.

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The right question is;

A frame by frame analysis of a slowmotion video shows that a hovering dragonfly takes 6 frames to complete one wing beat.

If the video is shot at 190 frames per second, how many wing beats does the dragonfly perform per second?

K-means clustering is a type of unsupervised learning which uses unlabeled data, or data without clearly defined categories or groupings.

Data is divided into k clusters using K-means clustering, with the goal of making the clusters closer together and the individual data points more dispersed.

K-means clustering is a sort of unsupervised learning which uses unlabeled data, or data without clearly defined categories or groupings.

Thus this algorithm's goal is to identify groups among the data, where K stands for the set of organizations.

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The complete question is-

Assume that you have a labeled dataset. Explain how you can use only K-means clustering to build a classification model for this dataset. What can go wrong?

At p = Θ(1/√n) the expected number of cliques in G will be going to be equal to 1.

The likelihood that a random event will occur is defined by probability. There are several real-life circumstances in which we must forecast the result of an occurrence. We might be certain or uncertain about the outcome of an event. In these circumstances, we state that there is a likelihood that this occurrence will occur or not. Generally speaking, probability has many useful uses in games, business (to make forecasts based on probability), and this emerging branch of artificial intelligence.

By simply dividing the favorable number of possibilities by the entire number of potential outcomes, the probability of an occurrence may be computed using the probability formula. Probability values range from 0 to 1, with a value of 1 being the most likely.

How to solve?

Fix any S-vertex subgroup that contains less than 5. Given that S includes (5, 2)=10 edges, the probability of S being a clique in G is p^10. Given that S has (n, 5) options, the predicted number of 5 cliques in G is (n, 5)p^10 due to linearity of expectation. The result of solving for (n, 5)p10 = 1 is^ p10 = (1/n^5).

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On solving tthe question, we got by double integration [tex]\int\limits^0_1 \int\limits^1_2{100x^2+49y^2} \, dx dy = x(\frac{100x^2 + 147y^2}{3} )[/tex]

A function in two variables over a region in R2, or the real number plane, is referred to in mathematics as a double integral. It is possible to write the double integral of a function of two variables, such as f(x, y), over a rectangular region as follows:  ∬ R f ( x , y ) d A = ∬ R f ( x , y ) d x d y.

g[tex]\int\limits^0_1 \int\limits^1_2{100x^2+49y^2} \, dx dy \\ At first,\\ \int\limits^{} \,100x^2 dx = 100\int\limits^ {} \,x^2 dx \\ \int\limits^ {} \,x^2 dx = \frac{x^3}{3} \\[/tex]

[tex]the result - \frac{100x^3}{3}\\ now,\\\int\limits \, 49y^2dx = 49xy^2\\\\result - \frac{100x^3}{3} + 49xy^2\\\\On simplyfing-\\[/tex]

[tex]x(\frac{100x^2 + 147y^2}{3} )[/tex]

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(1). The unit rate of per hour is 8 hours.

(2). He bikes 72 miles in 9 hours.

What do you mean by unit rate?

An item's unit rate is its price for one of it. This is expressed as a ratio with a one as the denominator. For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second. Seven yards in one second and 70 yards in ten seconds are both ratios, but only one of them is a unit rate.

According to data in the given question,

We have :

Distance travelled in 3.5 hours = 28 miles

Now, firstly we need to find unit rate per hour,

Distance travelled in 1 hours = 28/3.5 miles

                                               = 8 miles

So, the unit rate of per hour is 8 hours.

Then, we will find the how far can he bike in 9 hours,

Distance travelled in 9 hours = 9*8 miles

                                                = 72 miles

Therefore, he bikes 72 miles in 9 hours.

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The asymptotes of the graph of the function are given as follows:

The function has two types of asymptotes, which are given as follows:

The vertical asymptotes are the values of x for which the function is not defined, that is, empty spaces on the graph of the function, hence they are given as follows:

At x = 1, there is a closed circle, hence the function is defined and it is not a vertical asymptote.

The horizontal asymptote is the limit of the function as it goes to infinity, as long as this limit is different of infinity.

The limits are given as follows:

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Answer:

39.9 yards

Step-by-step explanation:

Pythagorean theorem is a^2+b^2=c^2

Where a and b are the legs and c is the hypotheneus

We set this so it will be equal to a leg

a^2+b^2=c^2

     -b^2. -b^2

a^2=c^2-b^2

42^2-13^2=a^2

1764-169=a^2

1595=a^2

√        √

39.9=a

Hopes this helps please mark brainliest

Answer:

D

Step-by-step explanation:

Exam test completed. Your welcome

The Frequency will be "266.14 Hz" and the number of loops are "60".

For the given question-

The formula for the linear velocity is given as;

Linear density; μ = mass/length

Put the values,

μ = 4.5 x 10⁻³/0.6

μ = 7.5 x 10⁻³ kg/m

The formula for the fundamental frequency is;

F = (1/2L)√(T/ μ)      

F = (1/2x0.6)√(765/ 7.5 x 10⁻³)      

F = 266.14 hz

The number of loops  is;

n = f'/f

n = 16000/266.14

n = 60

Thus, a person who can hear frequencies up to f = 16 kHz would be able to hear the highest harmonic with number n equal to 60.

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The complete question is-

A piano tuner stretches a steel piano wire with a tension of 765 N . The steel wire has a length of 0.600 m and a mass of 4.50g .

What is the frequency (f_1) of the string's fundamental mode of vibration?

What is the number n of the highest harmonic that could be heard by a person who is capable of hearing frequencies up to f = 16 kHzc?

Answer:

  y = mx

Step-by-step explanation:

You want to know the slope-intercept formula for a line that represents a proportion.

A proportion is a linear function that includes the point (0, 0). The y-intercept is zero, so the slope-intercept equation is ...

  y = mx

Hence, the ordered pair which replace  [tex](x,y)[/tex] is [tex](4,8)[/tex].

What is the function?

Functions are often defined by a formula that describes a combination of arithmetic operations and previously defined functions; such a formula allows computing the value of the function from the value of any element of the domain.

Here given function is

[tex]{(0, 1), (2, 6), (1, 7), (5, 7), (x, y)}[/tex]

So, the value which replace [tex](x,y)[/tex] is [tex](4,8)[/tex], because for the function every element have a single image.

Hence, the ordered pair which replace  [tex](x,y)[/tex] is [tex](4,8)[/tex].

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Answer:

7 + 6[tex]\sqrt{2}[/tex]

Step-by-step explanation:

note that [tex]\sqrt{a}[/tex] × [tex]\sqrt{a}[/tex] = a

([tex]\sqrt{2}[/tex] + 5)(1 + [tex]\sqrt{2}[/tex])

each term in the second factor is multiplied by each term in the first factor, that is

[tex]\sqrt{2}[/tex](1 + [tex]\sqrt{2}[/tex]) + 5(1 +[tex]\sqrt{2}[/tex]) ← distribute parenthesis

= [tex]\sqrt{2}[/tex] + 2 + 5 + 5[tex]\sqrt{2}[/tex] ← collect like terms

= 7 + 6[tex]\sqrt{2}[/tex]

To make a 49 pound bag of a mixture of peanuts and almonds that costs $6.85 per pound, the owner needs 15.98 pounds of peanuts and 33.02 pounds of almonds.

An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question. An equation is the equality of expressions.

Let x = pounds of peanuts in the mixture

y = pounds of almonds in the mixture

The owner wished to make a total of 49 pounds of mixture of peanuts ang almonds. Hence,

x + y = 49

x = 49 - y     (equation 1)

Bags of peanuts cost $2.2 per pound and bags of almonds cost $9.1 per pound, and the mixture should cost $6.85 per pound. Hence,

2.2x + 9.1y = 6.85(49)

2.2x + 9.1y = 335.65

Substitute equation 1 and solve for y.

2.2x + 9.1y = 335.65

2.2(49 - y) + 9.1y = 335.65

107.8 - 2.2y + 9.1y = 335.65

6.9y = 227.85

y = 33.02

pounds of almonds in the mixture = 33.02

Using equation 1, solve for x.

x = 49 - y

x = 49 - 33.02

x = 15.98

pounds of peanuts in the mixture = 15.98

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