Which of the following relations is a function?
A.
(5, 11), (-8, 2), (0, 7), (-5, 11)

B.
(5, 11), (-8, 2), (0, 7), (0, -5)

C.
(0, 11), (-8, 2), (0, 7), (-8, -5)

D.
(11, 5), (2, -8), (7, 0), (11, -5)

The child passes through 18π radians in the course of the carousel ride.

To determine the number of radians the child passes during the 6-minute ride on the carousel, we need to know the distance traveled in terms of radians.

Since there are 20 horses spaced evenly around the carousel, each horse is separated by an angle of 360/20 = 18 degrees or π/10 radians.

Therefore, during one rotation of the carousel, the child passes through 20π/10 = 2π radians. And since the carousel completes one rotation every 40 seconds, the angular velocity is 2π/40 = π/20 radians per second.

To find the total distance traveled in radians during a 6-minute ride, we need to multiply the angular velocity by the time elapsed.

6 minutes is equal to 360 seconds,

so the child passes through π/20 x 360 = 18π radians during the ride.

To learn more about : radians

https://brainly.com/question/29058626

#SPJ8

Answer:

this is a positive correlation

Step-by-step explanation:

it is going up so its positive

The coefficient of (3y² + 9)5 is 15.

A polynomial is of the form a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² + ... + aₙ₋₁x + aₙ.

Here, x is the variable, aₙ is the constant term, and a₀, a₁, a₂, ..., and aₙ₋₁, are the coefficients.

a₀ is the leading coefficient.

In the question, we are asked to identify the coefficient of (3y² + 9)5.

First, we expand the given expression:

(3y² + 9)5

= 15y² + 45.

Comparing this to the standard form of a polynomial, a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² + ... + aₙ₋₁x + aₙ, we can say that y is the variable, 15 is the coefficient, and 45 is the constant term.

Thus, the coefficient of (3y² + 9)5 is 15.

Learn more about the coefficients of a polynomial at

https://brainly.com/question/9071229

#SPJ1

Answer:

30 ft²

Step-by-step explanation:

Area of a paralleogram formula:

A = bh

A = (6)(2)

A = 12

Area of a rectangle:

A = bh

A = 6(3)

A = 18

Combined:

12 + 18

30

The Fed rule, also known as the Taylor rule, is an equation that attempts to describe how the Federal Reserve adjusts interest rates in response to changes in economic conditions.

The rule was first proposed by economist John Taylor in 1993 and has since become a widely used guide for central banks around the world.

The Fed rule is typically expressed as follows: r = p + 0.5y + 0.5(P - 2) + 2, where r is the federal funds rate, p is the target rate of inflation, y is the difference between actual output and potential output (also known as the output gap), and P is the current rate of inflation.

According to the rule, when the economy is operating below potential and inflation is low, the Fed should lower interest rates to stimulate growth.

Conversely, when the economy is growing too quickly and inflation is rising, the Fed should raise interest rates to slow down the economy and prevent inflation from getting out of control.

The Fed rule is not a perfect guide for monetary policy, as there are many other factors that can influence interest rate decisions, including global economic conditions, geopolitical events, and financial market developments.

However, it provides a useful framework for understanding the Fed's thinking about interest rates and helps to promote transparency and predictability in monetary policy.

To know more about rate click here

brainly.com/question/14018365

#SPJ11

Answer:

5x^2-5

Step-by-step explanation:

Answer:

it it 5x^2-5

Step-by-step explanation:

The downloaded file is 44.1 megabytes (approximate) at 17.1% completion.

In order to know how many megabytes have been downloaded in a file that is 258 megabytes and 17.1% complete,

we need to follow the steps below:

Express the percentage as a decimal.17.1% = 17.1 ÷ 100 = 0.171.

Multiply the file size by the percentage completed.258 × 0.171 = 44.118

Round the answer to the nearest tenth.44.118 ≈ 44.1.

Therefore, the main answer is 44.1. So, 44.1 megabytes have been downloaded.

The conclusion is that the downloaded file is 44.1 megabytes (approximate) at 17.1% completion.

To know more about percentage visit:

brainly.com/question/28269290

#SPJ11

Answer:

(x,y)=(-4/5,10/19)

Step-by-step explanation:

x+2y=3

x-8y=-16

x+2y=3

-x+8y=16 (multiply both sides by-1)

10y=16

y=16/10

x+2(16/10)=3

x=-4/5

30 inches long

Step-by-step explanation:

divide 36 by 1/6

this gives you six

subtract 6 from 36

there is 30 inches of hair left

The value of the integral is 2pi.

To interpret the given integral in terms of areas, we need to recognize that the integrand, \(\sqrt(4-x^2),\) represents the upper half of a circle with radius 2 centered at the origin.

First, we can sketch the graph of\(y = \sqrt(4-x^2)\)over the interval [-2, 2]:

      |         /\            |

   2 |       /    \          |

      |      /        \       |

     |     /            \     |

     |_/_____  __\_|

         -2         2

The integral can be evaluated as follows:

\(int_(-2)^2 \sqrt(4-x^2) dx\) = area of upper half of circle with radius 2 and center at (0, 0)

                         = (1/2) * pi *\(r^2\), where r = 2

                         = (1/2) * pi * 4

                         = 2pi

Therefore, the value of the integral is 2pi.

Learn more about definite integral

brainly.com/question/29974649

#SPJ11

The due date of the loan in the amount of $14,800, opened on January 22, at an interest rate of 9% and with the maturity value of the loan as $15,799, is a. October 22nd.

The due date can be determined using an online finance calculator, which shows that it will take almost 9 months for the loan's due date.

I/Y (Interest per year) = 9%

PV (Present Value) = $14,800

PMT (Periodic Payment) = $0

FV (Future Value) = $15,799

Results:

Loan Period (N) = 8.742 months

≈ 9 months

Total Interest = $999.00

Thus, 9 months to January 22 falls on October 22nd.

Learn more about determining loan due dates at https://brainly.com/question/15848690.

#SPJ1

Answer:

1,000 pencils  

Step-by-step explanation:  

First, there are 10,000 cents in $100.  

So divide 10,000 by 10.  

1,000.

I hope this helps!  

pls ❤ and mark brainliest pls

Answer:

11/7

Step-by-step explanation:

(44-22)/(28-14)

= 22/14

= 11/7

hope this helped!

Answer:

y2-y1/ x2-x1 use this formula for solving questions

The probability that at least one pair of people have the same birthday, with 30 people in a classroom is approximately 0.7063.

To solve this problem, we can use the concept of the complement of an event. The complement of the event "at least one pair of people have the same birthday" is the event "no pair of people have the same birthday." So, we can find the probability of this complement event and subtract it from 1 to get the probability of the original event.

The probability that the first person has a unique birthday is 1, since there are no other people in the room yet. The probability that the second person also has a unique birthday is (364/365), since there are 364 remaining days in the year that they could be born on.

Similarly, the probability that the third person has a unique birthday is (363/365), and so on, down to the 30th person, whose probability of having a unique birthday is (336/365).

To find the probability that no pair of people have the same birthday, we can multiply these probabilities together:

P(no pair share a birthday) = 1 * (364/365) * (363/365) * ... * (336/365) ≈ 0.2937

Therefore, the probability that at least one pair of people have the same birthday is:

P(at least one pair share a birthday) = 1 - P(no pair share a birthday) ≈ 1 - 0.2937 = 0.7063

So the probability that at least one pair of people have the same birthday is approximately 0.7063, which is quite high. This is known as the birthday problem or birthday paradox.

To learn more about probability click on,

https://brainly.com/question/13493824

#SPJ4

Proportion of six-year-old rainbow trout that are less than millimeters long:To find the required proportion, the standard normal variable can be calculated using the z-score formula as follows:

\(z = (x - μ) / σWhere,μ = 331.6 mm\) (mean length of six-year-old rainbow trout)\(σ = 42.4 mm\) (standard deviation of the length of six-year-old rainbow trout)\(x = 300 mm\) (the length less than which the proportion of six-year-old rainbow trout is to be determined)\(z = (300 - 331.6) / 42.4 = -0.7488\)Using the standard normal distribution table, the proportion of six-year-old rainbow trout less than 300 mm long is found to be 0.2266.

Approximately 0.5251 or 52.51% of six-year-old rainbow trout are between 300 and 360 mm long.(c) A six-year-old rainbow trout length of less than 267.44 mm would be considered unusual since the z-score corresponding to this length is -2.5, which lies beyond 2 standard deviations from the mean.

To know more about deviations visit:

https://brainly.com/question/29758680

#SPJ11

The measure of tangent angle QIA is 180 degrees.

m/QIA = 180 degrees.

If IA is the diameter of the circle, it means that angle QIA is a right angle (90 degrees). Since QN is tangent to the circle at point I, it is perpendicular to the radius IA at that point.

Therefore, in triangle QIA, we have a right angle at Q and a right angle at I. This implies that angle IQA is also 90 degrees.

In a right triangle, the sum of the angles is 180 degrees. Since angles QIA and IQA are both right angles, the remaining angle in the triangle, angle QAI, must be:

180 degrees - 90 degrees - 90 degrees = 0 degrees

Angle QAI is a degenerate angle, which means it has a measure of 0 degrees. Therefore, the measure of tangent angle QIA is 180 degrees.

To summarize, m/QIA = 180 degrees.

For such more questions on Tangent angle

https://brainly.com/question/30385886

#SPJ11

Answer: (0,-2)

Step-by-step explanation: just multiply

The function for the total cost of renting a car for a weekend with a base cost of $45 and a mileage charge of $0.15 per mile can be written as:

Total Cost = 45 + 0.15 * miles driven

where "miles driven" is the number of miles the car is driven over the rental period.

To find out how much it would cost Tara to rent the car if she travels 500 miles, we can substitute "500" for "miles driven" in the function:

Total Cost = 45 + 0.15 * 500

Total Cost = 45 + 75

Total Cost = $120

Therefore, if Tara drives 500 miles over the rental period, the total cost of renting the car for the weekend would be $120.

Hence, the total cost of renting a car for a weekend with a base cost of $45 and a mileage charge of $0.15 per mile can be calculated using the function Total Cost = 45 + 0.15 * miles driven. To find the total cost for a specific number of miles driven, we can substitute that number for "miles driven" in the function.

In this case, if Tara drives 500 miles, the total cost of renting the car would be $120.

To know more about rental period, refer here:

https://brainly.com/question/28132433#

#SPJ11

Answer:

one solution

Step-by-step explanation:

Given

17 - \(\frac{1}{9}\) x = 10 ( subtract 17 from both sides )

- \(\frac{1}{9}\) x = - 7 ( multiply both sides by - 9 to clear the fraction )

x = 63

Check the picture below, so that's the picture of a parabolic path with a certain initial velocity.

so anyhow, not to bore you to death, the maximum or peak point occurs at the vertex, as you see in the picture, and the x-coordinate is how long it took to get there.

\(\textit{vertex of a vertical parabola, using coefficients} \\\\ P(t)=\stackrel{\stackrel{a}{\downarrow }}{-1698}t^2\stackrel{\stackrel{b}{\downarrow }}{+85000}t\stackrel{\stackrel{c}{\downarrow }}{+10000} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 85000}{2(-1698)}~~~~ ,~~~~ 10000-\cfrac{ (85000)^2}{4(-1698)}\right) \implies \left( - \cfrac{ 85000 }{ -3396 }~~,~~10000 - \cfrac{ 7225000000 }{ -6792 } \right)\)

\(\left( \cfrac{ -21250 }{ -849 } ~~~~ ,~~~~ 10000 +\cfrac{ 903125000 }{ 849 } \right) \\\\\\ \left( \cfrac{ 21250 }{ 849 } ~~~~ ,~~~~ \cfrac{ 911615000 }{ 849 } \right) ~~ \approx ~~ (\stackrel{ hrs }{25}~~,~~\stackrel{ population }{1,074,000})\)

The total heat, denoted by H(t), in a metal bar with fully insulated ends is proven to be a constant.

Let's consider the heat equation for the temperature distribution in the bar:

∂u/∂t = α∂²u/∂x²

where α is the thermal diffusivity of the metal. Integrating both sides of the equation over the entire bar length from a to b, we get:

∫(∂u/∂t)dx = α∫(∂²u/∂x²)dx

The left-hand side represents the rate of change of total heat with respect to time, which is equivalent to dH(t)/dt. The right-hand side represents the heat flux across the bar. Since the ends of the bar are fully insulated, there is no heat flow through the boundaries, implying that the heat flux is zero.

Therefore, dH(t)/dt = 0, which means that the total heat H(t) is constant with respect to time. In other words, the sum of temperatures over the entire bar remains constant over time. This is a consequence of the insulation at both ends, which prevents heat exchange and ensures the conservation of energy within the system.

Learn more about equation here:

https://brainly.com/question/10724260

#SPJ11

Step-by-step explanation:

The formula for the circumference of a circle is 2*pi*radius

Circumference = 2(3.14)(2.1)

= 13.188cm

Y = (1/6)*e^5t  is  differential equation .

What exactly does differential equation mean?

An equation that connects one or more unknown functions and their derivatives is known as a differential equation in mathematics.  

                                     Applications typically use functions to describe physical quantities, derivatives to indicate the rates at which those quantities change, and differential equations to define a relationship between the two.

y′′−9y′+26y=e^(5t)

The characteristice equation of the differential equation is : r^2 -9r +26 =0

On solving we get the values of r=4.5 + 2.34i (z1) ,  4.5 - 2.4i(z2)--- (complex roots)

homogeneous solution is: yh = c1e^z1t + c2e^z2t

Plug  Y = Ae^5t in the ODE:

=   25Ae^5t -9*5Ae^5t +26Ae^5t =e^(5t)

25A -45A +26A =1 ;  6A = 1; A =1/6

Y = c1e^z1t + c2e^z2t  is a general solution but we wnata particular solution

So, simply Y = (1/6)*e^5t

Learn more about differential equation

brainly.com/question/14620493

#SPJ4

There are 100 seats in business class and 260 seats in economy class on the plane. As,we know that for every 13 seats in economy class, there are 5 seats in business class. We can write this as a fraction:5/13. This fraction represents the ratio of seats in business class to seats in economy class.

We can use this ratio to find the actual number of seats in each class, let's start by finding the total number of seats in business class. To do this, we need to know what fraction of the total number of seats is in business class. We can write this as: 5/18. This fraction represents the ratio of seats in business class to the total number of seats and  can use this fraction to find the actual number of seats in business class:5/18 * 360 = 100. So there are 100 seats in business class.

Now we can use the ratio of seats in economy class to find the actual number of seats in that class. We know that there are 13 seats in economy class for every 5 seats in business class. So the ratio of seats in economy class to seats in business class is:13/5, We can use this ratio to find the actual number of seats in economy class: 13/5 * 100 = 260, so there are 260 seats in economy class.

To know more about fractions click here

brainly.com/question/10354322

#SPJ11

Let's begin by identifying key information given to us:

Interactions involving dummy variables can provide insights into the different effects of independent variables across categories.

1. Dummy variables are binary variables that represent categorical variables in a regression analysis. When interactions are included between dummy variables and other independent variables, it allows for differential effects of the independent variables based on the different levels of the categorical variable.

For example, let's consider a regression model to predict income based on education level and gender. We can include an interaction term between education level (represented by dummy variables for different levels) and gender. This interaction term allows us to examine whether the effect of education level on income differs between males and females. It helps capture any gender-specific differences in the relationship between education and income.

1.2 The linear probability model (LPM) is a common approach to estimate the probability of an event occurring using a linear regression framework. However, it has several problems:

1. The predicted probabilities from the LPM can fall outside the [0, 1] range: Since the LPM does not impose any restrictions on the predicted probabilities, they can sometimes exceed the valid probability range. This violates the assumption of probabilities being bounded between 0 and 1.

2. Heteroscedasticity: The LPM assumes constant error variance across the range of the predictors. However, in practice, the variability of the error term may change with different levels of the predictors, resulting in heteroscedasticity. This violates the assumption of homoscedasticity.

3. Non-linearity: The LPM assumes a linear relationship between the predictors and the probability of the event. However, this may not always be the case, and using a linear model can result in misspecification.

To remedy these problems, an alternative to the LPM is to use logistic regression or probit regression models. These models explicitly model the probability of an event occurring and address the issues mentioned above. They provide predicted probabilities that fall within the valid range of 0 to 1, account for heteroscedasticity, and allow for non-linear relationships between the predictors and the probability of the event.

Learn more about LPM here:

https://brainly.com/question/30890632

#SPJ4

Answer:

huh looks simple....it's unreactive because it's already stable

Step-by-step explanation:

it has eight electrons in the outer most energy level making it stable so it doesn't need to loose or gain electrons

The statistical test that a researcher could use to test the null hypothesis that the mean body temperature of residents in a nursing home is 98.6°F is a one-sample t-test.

A statistical test is a method that enables the comparison of the collected data with the assumed distribution of the data. A statistical test aids in determining if the outcomes of the experiment or research are caused by the treatment or if they are due to the random variation in the data.

A null hypothesis is a type of hypothesis that predicts the absence of a relationship between variables or groups. The null hypothesis claims that no difference exists between two variables or groups, and that any observed differences are due to chance.

Alternative hypotheses are used to reject null hypotheses, as they predict the presence of a relationship between variables or groups.

The significance level, which is the probability of committing a Type I error, is often used to set the null hypothesis. The statistical test that a researcher could use to test the null hypothesis that the mean body temperature of residents in a nursing home is 98.6°F is a one-sample t-test.

The t-test will aid in determining if the difference between the mean body temperature of residents in the nursing home and 98.6°F is statistically significant.

Learn more about statistical test here:

https://brainly.com/question/28957899

#SPJ11

Answer:

first box: F, second box: 25

Step-by-step explanation:

We are substituting "25" for "C" because the problem says to convert 25 degrees Celsius to (unknown) Fahrenheit

5/9(F - 32) = 25

I would then multiply both sides of the equation by 9 to get rid of the fraction, giving:

5(F -32) = 225

then divide both sides by 5

F - 32 = 45

then add 32 to both sides

F = 77

If it has you follow different steps, we'll fill in whatever it gives you :)