Write an equation in slope-intercept form for the line that passes through the given point and is PERPENDICULAR to the the graph of the given
equation.
(6,-7); y=-3x+1

This question is Incomplete because it lacks the appropriate diagram for the square pyramid. Please kindly find attached the required diagram

Answer:

45 square inches

Step-by-step explanation:

From the question, we are told that the foil covers the body of the trophy including the bottom, hence the formula we would be applying =

Total Surface Area of the Square pyramid = 2bs + b²

Where s = Height of the square pyramid

b = Edge length of the square pyramid

From the attached diagram, we can see that:

s = 6 inches

b = 3 inches

Total Surface Area of the Square pyramid = 2bs + b²

= 2 × 3 × 6 + 3²

= 36 + 9

= 45 square inches.

Therefore, the amount of gold foil it took to cover the trophy, including the bottom is 45 square inches

The sampling method described, where every 5th person on a list is chosen, is known as systematic sampling.

Systematic sampling is a sampling method where the researcher selects every k-th element from a population or a list. In this case, the researcher chooses every 5th person on the list.

Here's how systematic sampling works:

1. The population or list is ordered in a specific way, such as alphabetical order or ascending/descending order based on a specific criterion.

2. The researcher defines the sampling interval, denoted as k, which is the number of elements between each selected element.

3. The first element is randomly chosen from the first k elements, usually by using a random number generator.

4. Starting from the randomly chosen element, the researcher selects every k-th element thereafter until the desired sample size is reached.

Systematic sampling provides a more structured and efficient approach compared to simple random sampling, as it ensures coverage of the entire population and reduces sampling bias. However, it is important to note that systematic sampling assumes that the population is randomly ordered, and if there is any pattern or periodicity in the population list, it may introduce bias into the sample.

In summary, the sampling method described, where every 5th person on a list is chosen, is known as systematic sampling. It is a type of non-random sampling method, as the selection process follows a systematic pattern rather than being based on random selection.

Learn more about systematic sampling on:

https://brainly.com/question/30257375

#SPJ4

The complete question is:

In a study, the sample is chosen by choosing every 5th person on a list What is the sampling method?

Simple

Random

Systematic

Stratified

Cluster

Convenience

Answer:

x^2 + 5x + 4

Step-by-step explanation:

divide everything by 2

Answer:

2(x+4)(x+1)

Step-by-step explanation:

2x^2+10x+8

1. Take out the greatest common factor. Divide by 2

2(x^2+5x+4)

3. Replace 5x with 1x+4x

2(x^2+1x+4x+4)

4. Spilt the equation in half and factor.

2(x^2+1x) = 2(x(x+1) and 4x+4 = 4(x+1)

5. Combine the new terms

2(x+4)(x+1)

x = 147 / 0.5446 ≈ 270.2 ft

To find the length of the guy wire for a radio transmission tower, trigonometry concepts are applied. Given a tower height of 160 feet, with the wire attached 13 feet from the top and making an angle of 29° with the ground, we can solve for the length of the guy wire, represented by x.

Using the Pythagorean theorem and considering the right triangle formed by the tower height, the wire attachment point, and the ground, we can set up the equation:

x = √((160 - 13)² + x²)

Next, we apply the tangent function to the given angle:

tan(29°) = (160 - 13) / x

Simplifying, we have:

0.5446 = 147 / x

To solve for x, we rearrange the equation:

x = 147 / 0.5446 ≈ 270.2 ft

Rounding to the nearest tenth of a foot, the length of the guy wire required is approximately 270.2 feet. This wire is attached 13 feet from the top of the tower and makes a 29° angle with the ground.

Trigonometry plays a crucial role in solving real-world problems involving angles and distances. It provides a mathematical framework for calculating unknown values based on known information, enabling accurate measurements and constructions.

Learn more about the applications of trigonometry in real-world scenarios:

https://brainly.com/question/31340190

#SPJ11

Answer:

A

Step-by-step explanation:

there is a common ratio between consecutive terms , that is

9 ÷ - 3 = - 27 ÷ 9 = 81 ÷ - 27 = - 3

this indicates the sequence is geometric.

the recursive formula allows a term in the sequence to be found by multiplying the previous term by the common ratio r , that is

f(n) = - 3f(n - 1) if n > 1 : f(1) = - 3

Population density refers to the number of people who live in a square mile or kilometer.

It measures the concentration or distribution of a population within a given area and is calculated by dividing the total population by the land area.Population density is a key indicator of how crowded or sparse an area is in terms of human habitation. It provides insights into the level of urbanization, resource allocation, and social dynamics within a region.

High population density typically indicates a greater concentration of people within a specific area, while low population density suggests a more spread-out or rural population distribution. This information is crucial for urban planning, resource management, and understanding the social and environmental impacts of human settlements.

To learn more about density.

Click here:brainly.com/question/15164682?

#SPJ11

Answer:

70 MPH (miles per hour)

Step-by-step explanation:

divide 850 by 12

70.83 mph, which rounds up to 71 mph, but it honestly depends on the instructions on your assignment. Hoped that helped! Have a wonderful day and remember you are important and loved!

The lines L1 and L2 will intersect at an intersection point (-1,3,-4) for L1 is (-1,1,-2), and the directional vector of L2 is (1,1,3).

We need to compare their directional vectors to determine the relationship between L1 and L2. The directional vector of L1 is (-1,1,-2), and the directional vector of L2 is (1,1,3).

Since these vectors are not scalar multiples of each other, the lines are not parallel.

To determine if they intersect or are skew, we can find the point of intersection using the system of equations formed by setting the equations of L1 and L2 equal to each other.

Solving this system of equations, we find that x = -1, y = 3, and z = -4.

Therefore, the lines intersect at the point (-1,3,-4).

Learn more about the intersecting lines at

https://brainly.com/question/11297403

#SPJ4

the solution to the system of equations is x = 2 and y = 1.

To solve the system of equations by substitution, we will solve one equation for one variable and substitute it into the other equation.

Given the system of equations:

1) y = 6x - 11

2) -2x - 3y = -7

Step 1: Solve equation (1) for y.

  y = 6x - 11

Step 2: Substitute the value of y from equation (1) into equation (2).

  -2x - 3(6x - 11) = -7

Step 3: Simplify and solve for x.

  -2x - 18x + 33 = -7

  -20x + 33 = -7

  -20x = -7 - 33

  -20x = -40

  x = (-40)/(-20)

  x = 2

Step 4: Substitute the value of x into equation (1) to find y.

  y = 6(2) - 11

  y = 12 - 11

  y = 1

Therefore, the solution to the system of equations is x = 2 and y = 1.

Learn more about Equation here

https://brainly.com/question/31345430

#SPJ4

The solution to the system of equations y = 6x - 11 and -2x - 3y = -7 is x = 2 and y = 1. This is achieved by substituting y into the second equation, simplifying, and solving for x, then substituting x back into the first equation to solve for y.

To solve the system of equations y = 6x - 11 and -2x - 3y = -7 by substitution, we start by substituting the equation y = 6x - 11 into the second equation in place of y, giving us -2x - 3(6x - 11) = -7. Next, simplify the equation by distributing the -3 inside the parentheses to get -2x - 18x + 33 = -7. Combine like terms to get -20x + 33 = -7. Subtract 33 from both sides to obtain -20x = -40, and finally, divide by -20 to find x = 2.

Once we find the solution for x, we substitute it back into the first equation y = 6x - 11. Substituting 2 in place of x gives y = 6*2 - 11, which simplifies to y = 1.

Therefore, the solution to the system of equations is x = 2 and y = 1.

https://brainly.com/question/35467992

#SPJ11

Answer:

it could be (x - 2)^2 + (y - 4) ^2 = 6

Step-by-step explanation:

because the first 2 blanks are the coordinates of the center and the last one should be the radius. as long as u know the radius then u should know the last part

(x - 2)^2 + (y - 4) ^2 = 6

your welcome!

Answer:

Avoid histograms with small bin widths that group data into lots of bins. A histogram constructed with small bin widths will show the distribution as a “pancake.” so no it does not help us see the pattern in the data.

Step-by-step explanation:

Answer:

C and D

Step-by-step explanation:

l faux off Gabba off KK kk haha BB mm hd h

If two polygons are similar, then they have the same shape but not necessarily the same size.

They can be either enlarged or reduced in size or reflected. Hence, even though the polygons are similar, they do not have to be drawn to scale.

The term scale refers to the ratio of any two corresponding lengths in two geometric figures, so if two figures are drawn to scale, the ratio of their corresponding lengths in the drawing is the same as the ratio of their corresponding lengths in the actual figures.

Therefore, if two polygons are similar but not drawn to scale, the drawing may not be an accurate representation of the actual figures, as the scaling information may not be consistent.

Know more about polygons here:

https://brainly.com/question/26583264

#SPJ11

Based on the given dataset, we cannot say whether the sample size is a problem or not. Therefore, it cannot be determined whether the sample size is a problem or not for the dataset for number 11.

Parametric statistical methods refer to the techniques that deal with populations with known parameters. These methods are used when a population's characteristics are known, such as the population mean and standard deviation.

For instance, the student's t-test, ANOVA, and the correlation coefficient are some of the most commonly used parametric tests.Parametric statistical methods usually prefer a sample size of ~30. However, in some situations, even small samples may be sufficient, depending on the size of the effect being measured.

The larger the effect size, the smaller the sample size required, and vice versa. For instance, if there is a large difference between the two groups being compared, a small sample size may be sufficient.

Consequently, whether the sample size is a problem or not for the dataset for number 11 cannot be determined based on this information because the sample size is unknown.

for such more question on sample size

https://brainly.com/question/28583871

#SPJ11

A random variable X has a probability distribution as follows:

X = 0, 1, 2, 3

P(X) = 2k, 3k, 13k, 2k

where k is a positive constant. The probability P(X < 2.0) is 0.25.

What is random variable?

A quantity or item that depends on random events is formalised mathematically as a random variable, also known as a random quantity, aleatory variable, or stochastic variable. It is a function or mapping from potential outcomes to a quantifiable space, frequently to real numbers.

We know that probability sum of all events is 1

Therefore here sum of all probability events =P(X=0)+P(X=1)+P(X=2)+PX=3)=1

2k+3k+13k+2k=1

20k=1

k=1/20=0.05

For P(x<2)=P(X=0)+P(X=1)=2k+3k =5k=5*(1/20)=0.25

Hence the correct answer is b, 0.25

To learn more about random variable from the given link

https://brainly.com/question/17217746

#SPJ1

Here's a LaTeX code that represents the question and provides both a concise answer and a more detailed explanation:

```latex

\documentclass{article}

\begin{document}

\textbf{Question:} Show that a particle moving with constant motion in the Cartesian plane with position $(x(t), y(t))$ will move along the line $y(x) = mx + c$.

\textbf{Answer (Concise):} A particle with constant motion in the Cartesian plane will move along a straight line represented by the equation $y(x) = mx + c$, where $m$ is the slope and $c$ is the y-intercept.

\textbf{Answer (Detailed):}

Let's consider a particle moving with constant motion in the Cartesian plane, where its position is given by the functions $x(t)$ and $y(t)$. We want to show that this particle will move along the line represented by the equation $y(x) = mx + c$, where $m$ is the slope and $c$ is the y-intercept.

Since the particle has constant motion, its velocity $\mathbf{v}$ is constant. The velocity vector can be written as $\mathbf{v} = \left(\frac{dx}{dt}, \frac{dy}{dt}\right)$. Since the motion is constant, the derivative of $x(t)$ and $y(t)$ with respect to $t$ will be constant.

Let's assume that the particle's initial position is $(x_0, y_0)$. We can write the position functions as $x(t) = x_0 + v_xt$ and $y(t) = y_0 + v_yt$, where $v_x$ and $v_y$ are the constant velocities in the x and y directions, respectively.

Now, let's solve for $t$ in terms of $x$ using the equation for $x(t)$. We have $t = \frac{x - x_0}{v_x}$. Substituting this into the equation for $y(t)$, we get $y(x) = y_0 + v_y \left(\frac{x - x_0}{v_x}\right)$. Simplifying this equation gives us $y(x) = mx + c$, where $m = \frac{v_y}{v_x}$ and $c = y_0 - \frac{v_y x_0}{v_x}$.

Therefore, we have shown that a particle with constant motion in the Cartesian plane will move along the line represented by the equation $y(x) = mx + c$.

\end{document}

```

This LaTeX code generates a document with the question, a concise answer, and a more detailed explanation. It explains the concept of a particle with constant motion and how its position can be represented using functions in the Cartesian plane. The code also derives the equation of the line that the particle will move along and provides the values for slope ($m$) and y-intercept ($c$).

Learn more about Cartesian here: brainly.com/question/28986301

#SPJ11

Answer:

=3. The remainder of given polynomial is 3.

Let us take polynomial f(x) as dividend and linear expression as divisor.

The linear expression should be in the form of x-a.

Then, the remainder value of polynomial will become f(a).

So, substitute the c value in the polynomial expression and evaluate to get the remainder value.

As a point estimator for, we utilise x-bar (sample mean) (mu, population mean)

The average value in mathematics is the middle number, which is calculated by dividing the total number of numbers by the sum of all the numbers. A set of data's average is calculated by adding up all the values and dividing the result by the total number of values.

We use the x-bar (sample mean) as a point estimator for (mu, population mean). As long as the sample is random, this estimator's impartial long-run distribution is centred at (mu).

To learn more about the average from the given link

brainly.com/question/1136789

#SPJ4

Complete question -

Answer:

Susan's brother is correct.

Step-by-step explanation:

Since one rectangular picture has a dimension of (8x-3) units by 4 units, the area that is left for a second picture is \(25x^2 - 32x + 24\)square units.

Given, Dimensions of one picture is (8x-3) x 4

Thus

The area of one rectangular picture is

(8x-3) x 4

= 32x - 12 square units.

To get the area left for a second picture, subtract the area of one picture from the total area of the poster board

Area left = \(25x^2\) + 12 - (32x - 12)

By simplifying the expression,

Area left = \(25x^2\)+ 12 - 32x + 12

Area left = \(25x^2\)- 32x + 24

Therefore, the area left for a second picture is \(25x^2\) - 32x + 24 square units.

Learn more on area of rectangle on https://brainly.com/question/25292087

#SPJ4

Answer:

a and c are alternate interior angles

For the parallel lines pq and rs a° and c° are alternate interior angles. Option A is correct.

Parallel lines are defined as identical lines with identical orientations, parallel lines never intersect each other but meet at infinity.

Here,
When two parallel lines is intersect by a transversal line then the angles made facing the region between the parallel lines are said to be interior angles, And as we know that alternate angles for parallel lines are always equal. So a° and c° are alternate interior angles.

Thus, a° and c° are alternate interior angles.

To learn more about parallel line below:

https://brainly.com/question/16701300

#SPJ2

The answer to your question is that the only way to demonstrate causation is to conduct a controlled experiment. This domain involves manipulating one variable and measuring the effect it has on another variable while holding all other variables constant.

correlation simply shows a relationship between two variables, but it doesn't prove that one variable causes the other. There could be other factors at play that are influencing both variables. For example, there may be a correlation between ice cream sales and crime rates, but this doesn't mean that ice cream causes crime or vice versa. It's possible that a third variable, such as temperature, is influencing both ice cream sales and crime rates.

further into the complexities of establishing causation, such as the need for random assignment in experimental studies, the importance of replicating findings, and the challenges of applying experimental findings to real-world situations. However, the key point is that a controlled experiment is the most reliable method for establishing a causal relationship between variables.

To know more about domain visit:

https://brainly.com/question/28135761

#SPJ11

Answer:

y =-1

Step-by-step explanation:

An easy way to answer any type of these questions is looking at the part where it said "Write the equation of a horizontal line", if this is the case you have to look at the 2nd point given to you which is -1 and simply make y = to that. Having y = -1 covers every possible x value which is why it is valid.

Answer:

Y=112  x=45

Step-by-step explanation:

y+68=180

so 180-68=112

y=112

y+(4x-2)+30=180

112+(4x-2)+30=180

140+4x=180

-140 to both sides

4x=180

divide by 4 to both sides

x=45

Answer:

4x² + 26x - 3 = 0

Step-by-step explanation:

We assume the width of the frame is the same along all sides and is x.

The length of the painting plus the frame is 7 + 2x, or 2x + 7.

The width of the painting plus the frame is 6 + 2x, or 2x + 6.

(2x + 7)(2x + 6) = 45

4x² + 12x + 14x + 42 = 45

4x² + 26x - 3 = 0

Answer:

Step-by-step explanation:

I suppose  we could factor this and find out how long the ball was in the air. From there we could determine its halfway point in terms of time, and then sub that time in for t in the position function to get the height at that time. But in order to avoid that, which may actually lead to an estimation as opposed to the actual height and time, we will use calculus.

Keep in mind that the first derivative of the position function is velocity. You have learned in Physics that if an object is at the very tip-top of its travels it has 0 velocity (this is because the object HAS to stop moving in order to turn around and head the other direction). So we will simply find the function's derivative, set it equal to 0 and then solve for t. The position function is

\(s(t)=-16t^2+20t+8\)

The first derivative, aka as the velocity function, is

\(v(t)=-32t+20\)

Setting it equal to 0:

-20 = -32t so

\(t=\frac{5}{8}sec\)

That is WHEN the object is at its max height. To find out what the max height it, we will sub that t value into the position function.

\(s(\frac{5}{8})=-16(\frac{5}{8})^2+20(\frac{5}{8})+8\) gives us that the ball's position at five-eighths of a second is 14.25 feet.

Answer:

200

Step-by-step explanation:

hope this helps!

Answer:

200

Step-by-step explanation:

=> 32 ÷ 0.16

=> 32 ÷ (16/100)

=> 32 * 100/16

=> 2 * 100

=> 200

HOPE IT HELPS!!!

The relationship between the cost charged for the daily boarding of dogs

by the kennel is a directly proportional relationship.

The correct responses are;

1. The dog kennel charges $60 per day is; False

Correct statement; The dog kennel charges $30 per day

2. The equation y = 30·x can represent the graph; True

3. It costs $200 to board a dog for 7 days is; False

Correct statement; It costs $210 to board a dog for 7 days

4.The graph will contain the coordinate point (9, 270); True

Reasons:

Points on the graph of the given graph of the Cost to Number of days are;

(2, 60), (4, 120)

The slope of the graph is \(m = \dfrac{120 - 60}{4 - 2} = 30\)

Equation of the graph is therefore; y - 60 = 30·(x - 2)

Which gives;

y  = 30·x - 2×30 + 60 = 30·x

The equation of the graph is; y = 30·x

Therefore, the statement;

The cost of the dog kennel a day is given by the value of 'y', when x = 1, as

follows;

Cost per day, y = 30 × 1 = 30

The cost per day = $30 per day

Therefore;

The correct statement is; The dog kennel charges $30 per day

The amount it costs to board a dog for 7 days is y = $30×7 = $210

Therefore, the correct statement is; It costs $210 to board a dog for 7 days

Therefore, the statement; the graph will contain the coordinate point (9, 270) is; True

Learn more here:

https://brainly.com/question/5281177

Answer:

Solving for X? would be 1

Step-by-step explanation:

32x-8-12x=22x-6

20x-8=22x-6 then subtract 20x from each side and add 6 to each side

2=2x then divide by 2 and getting 1 is x

Answer:

x=-1

Step-by-step explanation: