An 18 ft ladder is being pushed up a wall of a building at a rate of 3 min. Determine the rate at which the angle the ladder makes with the ground is changing when the ladder reaches 9 ft up the wall.

First find the center, then graph all the points that are at a distance of R units from that center.

A circle of radius R is the set of all points that are at a distance R from a given point (the center of the circle).

So to graph it, we need to know these two things, radius and center.

Once we do, first we graph the center on the coordinate plane.

Once we find the center, we can find all the poiints that are at a distance of R units from our center, so we need to graph these. Once we do, we will have the graph of our circle on the coordinate plane.

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Answer:

Make a table of values. Take numbers starting from 0 and plug them for t. This way you will get values for d. Since your answer is 3, you don't have a lot to plug in and calculate. Then make a graph where t is on the x-axis and d is on the y-axis. According to your d values you can make intervals of 10s, 20s or even 100s. Lastly just plot your data.

This is what I usually do and it works out fine.

ANSWER

-4.5

EXPLANATION

We want to find the opposite of the number 4.5

The opposite of a number is the number that is the same distance from 0 on the number line but on the other side.

So, if the number is on the right hand side, its opposite is on the left hand side.

In simpler terms, the opposite of a number is the negative of a number.

So, the opposite of 4.5 is -4.5.

Answer:

5. Obtuse

6. Right

7. Acute

Step-by-step explanation:

5. 5,12,15

The square of the longest side is 15^2 = 225. The sum of the squares of the two shorter sides is 5^2 + 12^2 = 169. Since 169 < 225, the triangle is obtuse.

6. 6,8,10

The square of the longest side is 10^2 = 100. The sum of the squares of the two shorter sides is 6^2 + 8^2 = 100. Since 100 = 100, the triangle is right.

7. 12,10,13

The square of the longest side is 13^2 = 169. The sum of the squares of the two shorter sides is 12^2 + 10^2 = 244. Since 244 > 169, the triangle is acute.

If the city worker released the statement that 60% of dairy city's 3,000 homes are in violation of city codes , then the City Worker's statement is an example of : (d) Statistical Inference .

The Statistical Inference involves making generalizations about a population based on a sample.

In this case, the city worker has taken a sample of 200 homes out of the total 3,000 homes in Dairy City, and based on that sample, the City Worker is making an inference about the proportion of homes in violation of city codes for the entire population of Dairy City.

The statement is not a census as a census would involve collecting data from every single unit in the population, in this case every single home in Dairy City.

The given question is incomplete , the complete question is

A city worker inspected 200 homes in dairy city. during that inspection, 120 homes were found to violate one or more city codes. the city worker released a statement that 60% of dairy city's 3,000 homes are in violation of city codes.

The City Worker's statement is an example of :

(a) Census

(b) An experiment

(c) Descriptive Statistics

(d) Statistical Inference

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Answer: 81

Step-by-step explanation: If you add all of the numbers, then you end up getting 81.35 and 81.35 estimated to the nearest whole number is 81 because that's the closest whole number to 81.35.

Answer:

cos^2(θ)

Step-by-step explanation:

Answer:

13%

Step-by-step explanation:

21-18.27=2.73

2.73/21= 0.13

0.13 x 100=13%

Answer:

24%

Step-by-step explanation:

6/25=0.24

0.24=24%

Answer:

y = -3/4x + 29/4

Step-by-step explanation:

According to the given information, the sample period should be from 2010-2020.

a) Model specification

The model specification based on the scenario above is as follows:

SDF= f(T, TI, NL)

Where: SDF= Sustainable Development Framework

T= Tourism

TI= Technological innovation

NL= National leadership

b) Justification for the selection of the dependent and independent variables model:

Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.

Independent variables:

The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.

The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.

c) Justification for the selection of the sample period:

The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.

Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.

The sample period should be from 2010-2020.

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The other measurements can you determine are the length of the sides of the Δtop triangle, which can be found using the Pythagorean Theorem.

You know that ma = 11 inches and mn = 8.5 inches, and to = 5.5 inches. Therefore, the length of the side opposite to angle A (a2) can be found by solving the Pythagorean Theorem equation which is

a2 = ma2 – mn2.

The length of the side opposite to angle B (b2) can be found by solving the Pythagorean Theorem equation b2 = to2 – mn2. The length of the side opposite to angle C (c2) can be found by solving the Pythagorean Theorem equation which is

c2 = ma2 – to2.

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The correct answer is A. y - 3 = -6(x + 1) of the  linear equation in point-slope form for the line that goes through (-1,3) and (1, -9).

To write the linear equation in point-slope form, we need to use the formula:

\(y - y_1 = m(x - x_1),\)

where \((x_1, y_1)\) represents one of the given points, and m represents the slope of the line.

Step 1: Find the slope (m):

\(m = \frac {(y_2 - y_1) }{(x_2 - x_1)}\\= \frac {(-9 - 3)} { (1 - (-1))}\=\frac {-12 } {2}= -6.\)

Step 2: Choose one of the given points (-1, 3), and substitute its coordinates into the point-slope form:

\(y - 3 = -6(x - (-1)).\)

Step 3: Simplify and rearrange the equation:

\(y - 3 = -6(x + 1)\\y - 3 = -6x - 6.\)

Therefore, the correct equation is A. y - 3 = -6(x + 1).

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Answer:

-24x + 18y

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

...

Answer:

Vertex: (-1,9) is true

Sample Points: (2,4) is not true

Step-by-step explanation:

Given

\(Vertex: (-1,9)\)

\(Sample\ Points: (2,4)\)

Required

Determine if the vertex and sample points exist for \(y= -2(x+1)\²+9\)

Solving for the vertex:

\(y= -2(x+1)\²+9\)

Writing the given equation in the form:

\(y = ax^2 + bx + c\)

Expand the bracket

\(y= -2(x+1)(x+1)+9\)

Open Bracket

\(y= -2(x+1)(x+1)+9\)

\(y = -2(x^2 + 2x + 1) + 9\)

Open bracket

\(y = -2x^2 - 4x -2 + 9\)

\(y = -2x^2 - 4x +7\)

Solve for x using:

\(x = \frac{-b}{2a}\)

Where \(a = -2\); \(b = -4;\)

So:

\(x = \frac{-(-4)}{2 * (-2)}\)

\(x = \frac{4}{-4}\)

\(x = -1\)

Substitute -1 for x in \(y = -2x^2 - 4x +7\)

\(y = -2(-1)^2 -4(-1) + 7\)

Simplify all brackets

\(y = -2(1) + 4 + 7\)

\(y = -2 + 4 + 7\)

\(y = 9\)

Hence;

The vertex (x,y) is (-1,9)

This is true

Checking sample points: \((2,4)\)

In this case; \(x = 2\) and \(y = 4\)

Substitute \(x = 2\) and \(y = 4\) in \(y= -2(x+1)\²+9\)

\(4 = -2(2 + 1)^2 + 9\)

\(4 = -2(3)^2 + 9\)

\(4 = -2 * 9 + 9\)

\(4 = -18 + 9\)

\(4 \neq -9\)

Hence;

This sample points \((2,4)\) does not exist

Answer:

STEM | LEAF

_0 __ | 2, 7

_1 ___| 3, 8, 8

_2 __ | 0, 5, 7, 8

_3 __ | 2

Step-by-step explanation:

Given the data:

2,7,13,18,18,20,25,27,28,32

Prepare an ordered stem plot:

STEM | LEAF

_0 __ | 2, 7

_1 ___| 3, 8, 8

_2 __ | 0, 5, 7, 8

_3 __ | 2

KEY:

20 = 2 | 0

Answer:

your answer will be 14

Step-by-step explanation:

hope it helps ^_^

A significance level of 0.10, we have enough evidence to conclude that the new copy machines have a significantly faster mean repair time compared to the older model.

To test if the new copy machines are faster to repair, we can set up the following null and alternative hypotheses:

Null Hypothesis (H₀): The mean repair time for the new copy machines is the same as the mean repair time for the older model.

Alternative Hypothesis (H₁): The mean repair time for the new copy machines is less than the mean repair time for the older model.

Let's perform a one-sample t-test to test these hypotheses. The test statistic is calculated as:

t = (sample mean - population mean) / (sample standard deviation / √(sample size))

Given:

Population mean (μ) = 93 minutes

Sample mean (\(\bar x\)) = 86.8 minutes

Sample standard deviation (s) = 14.6 minutes

Sample size (n) = 18

Significance level (α) = 0.10

Calculating the test statistic:

t = (86.8 - 93) / (14.6 / sqrt(18))

t = -6.2 / (14.6 / 4.24264)

t ≈ -2.677

The degrees of freedom for this test is n - 1 = 18 - 1 = 17.

Now, we need to determine the critical value for the t-distribution with 17 degrees of freedom and a one-tailed test at a significance level of 0.10. Consulting a t-table or using statistical software, the critical value is approximately -1.333.

Since the test statistic (t = -2.677) is less than the critical value (-1.333), we reject the null hypothesis.

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The probability of flipping a heads on the coin and rolling a 5 on the die is 1/12 if a coin is flipped and die is rolled once.

The sample space for the coin toss is  {H,T}, so there are two possible outcomes. The favorable one is  H.

The probability of flipping a heads on the coin is equal to 1/2.

Die has six faces, meaning six possible outcomes, but we’re only interested in one of those outcomes: that roll of a 5. That means that only 1 in 6 outcomes is desirable and we can write it as  1/6

The probability of rolling a 5 on the die is equal to 1/6.

Since a coin is flipped and die is rolled independently, the joint probability is a product of above probabilities.

Therefore, the probability of flipping a heads on the coin and rolling a 5 on the die equals

\(\frac{1}{2} \times \frac{1}{6}\\= \frac{1}{12}\)

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The system of equations has two solutions: (0,2) and (-4/5, -6/5).

The substitution method is a way to solve a system of two linear equations with two variables. The method involves solving one of the equations for one of the variables, and then substituting that expression into the other equation in place of the same variable. This process reduces the system of two equations and two variables to a single equation and a single variable, which can then be solved.

We have the system of equations:

4x² + y² = 4 ........(1)

y = x + 2 ........(2)

We can solve this system of equations by substitution.

Substitute (2) into (1) to eliminate y:

4x² + (x + 2)² = 4

Simplify and solve for x:

4x² + x² + 4x + 4 = 4

5x²+ 4x = 0

x(5x + 4) = 0

x = 0 or x = -4/5

If x = 0, then from equation (2), y = 2. So one solution is (x,y) = (0,2).

If x = -4/5, then from equation (2), y = -6/5. So the other solution is (x,y) = (-4/5, -6/5).

Therefore, the system of equations has two solutions: (0,2) and (-4/5, -6/5).

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Answer:

To find the coordinates of P so that P partitions segment AB in the part-to-whole ratio of 1 to 5 with A(-9, 3) and B(1, 8), we can use the formula:

P = (1 - t)A + tB

where t is a scalar value that represents the position of P on the segment AB, and A and B are the coordinates of the two endpoints of the segment.

In this case, we know that the part-to-whole ratio is 1:5, so t = 1/6.

So we substitute the values for A, B and t into the formula:

P = (1 - 1/6)A + (1/6)B

P = (5/6)A + (1/6)B

P = (-95/6, 35/6) + (1/6, 8/6)

P = (-15/2, 5/2) + (1/6, 4/3)

P = (-15/2 + 1/6, 5/2 + 4/3)

P = (-30/3, 23/6)

The coordinates of P are (-10,3.83)

For the second problem,

To find the coordinates of P so that P partitions the segment AB in the ratio 3 to 1 if A(7, -4) and B(-5, 4), we can use the same formula as above:

P = (1 - t)A + tB

In this case, we know that the part-to-whole ratio is 3:1, so t = 3/4.

So we substitute the values for A, B and t into the formula:

P = (1 - 3/4)A + (3/4)B

P = (1/4)A + (3/4)B

P = (7/4, -4/4) + (-53/4, 43/4)

P = (7/4 + -15/4, -4/4 + 3)

P = (-8/4, -1/4)

The coordinates of P are (-2,-0.25)

So in the first problem point P is (-10,3.83) and in the second problem point P is (-2,-0.25)

A metric can be used to help us determine the extent of how much an outcome is achieved.

A metric is a quantifiable gauge that is employed to assess, scrutinize, and appraise diverse facets of a system, procedure, or outcome. It furnishes a standardized and unbiased approach to gauge and monitor performance or advancement towards particular objectives or goals. Metrics are commonly formulated based on precise criteria or prerequisites and can manifest as numerical or qualitative in essence.

They find application in various domains such as commerce, finance, science, engineering, and myriad others to evaluate performance, facilitate well-informed decisions, and oversee progress over time.

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450 miles

Explanation

Step 1

Let

Step 2

how many times the distnce (E-M) is the distance(E-S)

so, the distance is

I hope this helps you

The vertical line at x = infinity represents the vertical asymptote.

The graph approaches the asymptote but never touches it.

We have,

To graph the function f(x) = 2(1/2)^x - 7, we first need to find the coordinates of the asymptote and two points with integer coordinates.

The function has an asymptote at x = infinity, since as x approaches infinity, the value of 2(1/2)^x approaches 0.

So the line x = infinity is a vertical asymptote for the graph.

To find two points with integer coordinates, we can simply choose two integer values of x and evaluate the function at those values.

Let's choose x = 0 and x = 3.

When x = 0, we have f(0) = 2(1/2)^0 - 7 = -5, so one point on the graph is

(0, -5).

When x = 3, we have f(3) = 2(1/2)^3 - 7 = -6, so another point on the graph is (3, -6).

And,

The dot at (0, -5) represents the point where the graph crosses the y-axis.

The dot at (3, -6) represents another point on the graph.

Thus,

The vertical line at x = infinity represents the vertical asymptote.

The graph approaches the asymptote but never touches it.

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Answer:

When X = 6 and Y = 11, (Y^2 - X)=(11^2-6)=(121-6)=115)

Step-by-step explanation:

Answer:

GCF = 3

Factor = 3(x^2-100)=0

Solutions are: x = 10, -10

Step-by-step explanation:

You have to factor out GCF which is 3 which then makes the equation 3(x^2-100)=0. After that you basically have (x^2-100)=0. Which then you solve for x which is a difference of squares and the answers are 10 and -10 for x.

(hope this helps) :)

Step-by-step explanation: in the picture

please give me a brainliest answer