please answer this question ​

a 16-ft. ladder is leaning against a house. the ladder angle of elevation is 470, the distance between the wall and the foot of the ladder is 10.991ft.

Given ,

Length of the ladder is 16ft

Angle of elevation is 47 degree

To calculate the distance between the wall and the foot of the ladder

Cos thete = BC/AC

Cos 47 deg = BC / 16

16*0.6819 = BC

BC = 10.911 ft

Therefore , the distance between the wall and the foot of the ladder is 10.991ft

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When checking for scene safety for the use of an AED the dangers that would stop us include

An automated external defibrillator (AED) is a small, portable machine that shocks the heart with electricity through the chest.

After a sudden cardiac arrest (SCA), the shock may be able to stop an irregular heartbeat (arrhythmia) and restore a regular rhythm .

SCA happens when the heart develops a problem and abruptly stops beating. Without immediate treatment, it quickly results in death.

The dangers that would stop us from using a scene for an AED include

volatile gases, combustible liquids near the patient, and a patient lying in water

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The Mean absolute deviation and the mean are not same.

Given,

The mean;-

The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

Mean absolute deviation;-

The average distance between each data point and the mean is known as the mean absolute deviation of a dataset. It offers us a sense of how variable a dataset contains.

Therefore,

The Mean absolute deviation and the mean are not same.

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The total unit of fuel used per mile f (N)= 12+ 2.2N

A linear function has the following form

y = f (x) = a + bx

A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.

The graph of a linear function is a straight line.

The train uses 12 unit of fuel per mile and an additional 2.2 unit of fuel per mile for each railcar on the train.

Therefore the unit of fuel used per mile by N railcars is 2.2N

The total number of unit of fuel used per mile = 12+2.2N

therefore f(N)= 12+2.2N

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The anagrams that can be created from the word accommodate is N=4989600.

An anagram is a word or phrase made by rearranging the letters of another word or phrase, often using all of the original letters exactly once.

The original word or phrase is known as the anagram's subject. An anagram is any word or phrase that exactly duplicates the letters in a different order. An "anagrammatist" is someone who makes anagrams, and the purpose of a serious or expert anagrammatist is to make anagrams that reflect or remark on their subject.

Given word is

'accommodate'

Total number of letters= 11

Number of a = 2

c=2

m=2

0=2

The rest are one each.

Therefore, the number of possible arrangements can be written as;

N = 11!/(2!2!2!2!)

N = 39916800/8

N=4989600

Therefore, the anagrams that can be created from the word accommodate is N=4989600.

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Using the t-distribution, it is found that the 90% confidence interval for the mean electricity bill of all ucf students is (108.79, 121.21).

It is referred to as the simple random sampling technique when each member of a population has an equal likelihood of being chosen. This sampling technique relies solely on chance to determine the selection. A random number generator or any other approach that relies solely on chance can be used to carry out such a sampling strategy.

Using the t-distribution, it is found that the 90% confidence interval for the mean electricity bill of all ucf students is (105.25, 114.75).

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On the basic of properties of Semi Strong form efficiency, we conclude the given statement that According to the Semi- strong form of efficiency, analysts who find unique information hidden in a company's published financial statements have an advantage over the rest of the market is False.

Semi Strong form :

The efficiency theory of the semi-strong format uses all publicly available information when calculating the current price of a stock, allowing investors to use either technical or fundamental analysis to find the best value in the market. We follow the belief that no higher return can be generated.

Those who agree with this version of theory believe that only information not available to the public can help investors drive returns to higher levels of performance than the general market. To test the semi -strong version of EMH, we can see if the stock price fluctuates up or down if private his message has been published before. For example, proposed mergers and ambiguous earnings announcements are known to insiders but not to the public. Therefore, this information will not be correctly reflected in the stock price until it is published. At this point, investors and traders take this new information into account, so the stock may bounce or fall depending on the nature of the news.

From the semi-strong efficiency information above, we can say that the information hidden in the company's published financial statements does not benefit the rest of the market.

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The value of the total distance between the two stations is 2520m

The train runs with the following acceleration:

v = u + at

12 = 0 + a(120)

a = 0.1 m/s2.

Distance covered by the train in first part:

S = 1/2at^2

S = 1/2×0.1×(120)^2

S = 720m

Distance covered in second part:

S = ut

S = 12×60 = 720m

Train deceleration is given by

v = u+ at

0 = 12+a (180)

a = -1/15

Distance covered by the train in last part:

S = ut- 1/2at^2

S = 12(180) - 1/2(1/15)(180)^2

S = 2160 - 1080

S = 1080m

Therefore,  The value of the total distance between the two stations is 720+720+1080 = 2520m.

The complete question is :A tram leaves a station and accelerates for 2 minutes until it reaches a speed of 12 meters per second. It continues at this speed for 1 minute. It then decelerates for 3 minutes until it stops at the next station .Calculate the distance, in meters, between the two stations.​

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Adding doubles mean that the result will be obtained by adding 2 times of the numbers.

According to the question,

We have the following information:

We have to know what does it mean to add doubles.

Now, we know that doubles mean that the same number is added two times or in other words it has been multiplied by 2.

For example, the double of 3 is 6 and the double of 4 is 8 because we have multiplied both the numbers by 2.

Now, adding the doubles of 3 and 4 means that we will add 6 and 8 and the result in this case is 14.

Hence, adding doubles mean that the result will be obtained by adding 2 times of the numbers.

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A function containing a variable base raised to a fixed power   is considered to be a power function.

when a function has a constant base raised to a variable power. This can be called an exponential function, not a power function A power function may be a function with a single term that is the product of a real number, a coefficient, and a variable raised to a fixed real number. It is in the form of f(x)=kx^p, where k and p are the real numbers whereas k is the coefficient.

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The current required to produce metal at a rate of 5.00 g/min is 274A

The electrolyte ion equation is;

Ni²⁺ (aq)  +  2e⁻   →   Ni (s)

Faradays constant = 9.65 * 10⁴ C/mol

Molar mass of Nickel = 58.69 g/mol

Number of moles of nickel; n_ni = 5 g/min * 1 mol/58.69 g/mol = 0.0852 mol

n_e = 0.0852 mol * 2/1

n_e = 0.170 mol

I = nF/t

where;

t is in minutes

F is faradays' constant

Thus;

I = (0.17 * 9.65 * 10⁴)/(1 * 60)

I = 274 A

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For given function f(x) = x+2/(x + 4) (x + 1), the graph of function is as shown below and the end behaviour of function is as x → -∞, f(x)→0, as x → +∞, f(x)→0

In this question, we have been given a function  f(x) = x+2/(x + 4) (x + 1)

We need to gaph the given function.

From given function we can observe that the function f(x) is not defined for x = -4 and x = -1

Also, the degree of numerator = 1 and the degree of denominator is 2

We know that if the degree of the denominator > degree of the numerator, then a horizontal asymptote is at y = 0 (x - axis)

The graph of function f(x) is as shown below.

The x-intercept for the graph  function f(x) is at (-2, 0)

Also, as x → -∞, f(x)→0

and as x → +∞, f(x)→0

Therefore, for given function f(x) = x+2/(x + 4) (x + 1), the graph of function is as shown below and the end behaviour of function is as x → -∞, f(x)→0, as x → +∞, f(x)→0

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Using the normal distribution we find that P(X=8) equals zero.

According to our question-

Measures how many standard deviations a measurement is from its mean.

After finding the Z-score, look at the Z-score table to find the p-value (percentile of x) associated with that Z-score.

As with any continuous distribution, the probability of an exact value, P(X = x), is 0.

So t we know that P(X=8) equals zero.

Hence, Using the normal distribution we find that P(X=8) equals zero.

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The full Python code is included below as an image, and it sets the base and height of triangles 1 and 2, then calculates the bigger area.

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Recommended percentage grouping of ABC classification is A items get 20%, B items get 30% and C items get 50%.

What is Dollar volume?

DOLLAR VOLUME is the result of multiplying the closing price by the principal market's trading volume on a given trading day.

DOLLAR VOLUME refers to the dollar volume of shares of Common Stock traded on the Principal Market on a Trading Day for any given Trading Day.

When referring to residential real estate, the term "dollar volume" simply refers to the sum of all residences' sales prices during a specific time period (month, quarter, year). It does not divide out by unit count like average sales price, but rather represents the largest dollar-based measure of sales activity.

Hence, Recommended percentage grouping of ABC classification is A items get 20%, B items get 30% and C items get 50%.

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This equation [tex]\frac{3}{m + 3}[/tex] - [tex]\frac{m}{3 - m}[/tex] = [tex]\frac{m^{2 } + 9}{m - 9}[/tex] has no solution.

Since we have given that

[tex]\frac{3}{m + 3}[/tex] - [tex]\frac{m}{3 - m}[/tex] = [tex]\frac{m^{2 } + 9}{m - 9}[/tex]

We need to find the solution of the above equation:

Since is a rational equation so, we will check for its extraneous solution.

[tex]\frac{3}{m + 3}[/tex] - [tex]\frac{m}{3 - m}[/tex] = [tex]\frac{m^{2 } + 9}{m - 9}[/tex]

[tex]\frac{3}{m + 3}[/tex] +  [tex]\frac{m}{3 - m}[/tex]  =  [tex]\frac{m^{2 } + 9}{m - 9}[/tex]  

[tex]\frac{3(m + 3) + m(m +3)}{m^{2} - 9}[/tex] =   [tex]\frac{m^{2 } + 9}{m - 9}[/tex]

[tex]\frac{3m - 9 + m^{2} +3m }{m^{2}-9 }[/tex] =  [tex]\frac{m^{2 } + 9}{m - 9}[/tex]

[tex]\frac{m^{2} -9+6m}{m^{2} -9}[/tex] =  [tex]\frac{m^{2 } + 9}{m - 9}[/tex]

[tex]m^{2} +6m -9 = m^{2} + 9[/tex]

[tex]6m = 18[/tex]

[tex]m = \frac{18}{6} = 3[/tex]

Hence, the extraneous solution in case of rational equation is 3 , when we put m = 3, it becomes undefined so, it has no solution.

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The average rate of change of the function, f(x)=50(1.021)^x over the interval of x=7 to x=10 is calculated as: 1.24.

The average rate of change = f(b) - f(a) / b - a.

Given the following:

The function is: f(x) = 50(1.021)^x

Interval is: x = 7 to x = 10

Therefore:

a = 7

b = 10

f(a) = f(7) = 50(1.021)^7

f(a) = f(7) = 57.83

f(b) = f(10) = 50(1.021)^10

f(b) = f(10) = 61.55

Therefore:

Average rate of change = (61.55 - 57.83) / 10 - 7

= 1.24.

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Answer:

y = -5

Step-by-step explanation:

The two points have the same y: it means that the line is parallel to x axis

Answer:

The slope of the given line is -3/2

Parallels have equal slopes

The new line y + 5 = (-3/2) (x - 4)

y + 5 = (-3/2)x + 6

y = (-3/2)x + 1

answer= y = (-3/2)x + 1

Answer:

SSS (side-side-side) and SAS (side angle side) both prove that two triangles are congruent, it depends on the data you have whether to use one or the other

Substitute 0 for y to find the x-intercept and Substitute 0 for x to find the y-intercept.

This is obvious because if y is set to 0, the only variable left is x (indicating that the x intercept has been found), and vice versa.

We set y = 0 and solve the equation for x to find the x-intercept. This is because the line crosses the x-axis when y=0. When an equation is not in the form y = mx + b, we can solve for the intercepts by plugging in 0 and solving for the remaining variable. Set x = 0 and solve for y to find the y-intercept.

The line crosses the x-axis when y=0. When an equation is not in the form y = mx + b, we can solve for the intercepts by plugging in 0 and solving for the remaining variable. Set x = 0 and solve for y to find the y-intercept.

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the length of BC is 10cm, in the given triangle.

What is are of the triangle?

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.

Assuming that BR = 3 cm AR = 4 cm AC = 11 cm

Knowing that tangents to an exterior point are always equal,

BR = BP = 3 cm then.

4 cm when AR = AQ

QC= AC- AQ= 11 - 4 = 7 cm

Q = P = 7 cm

As a result, BC = BP+PC = 3 + 7 = 10 cm.

As a result, BC has a 10 cm length.

Hence the length of BC is 10cm.

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ip flow-export destination 172.17.8.25 2055 is the set up a netflow collector using ip address 172.17.8.25 on udp port 2055.

What is netflow collector?

Hence, the ip flow-export destination 172.17.8.25 2055 is the set up a netflow collector using ip address 172.17.8.25 on udp port 2055.

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Answer:

biggest size = 89 in ; smallest size = 30 in

Step-by-step explanation:

Tmax = 2 x 132 / 3 + 1

2 x 44 + 1

88 + 1

89 in

Tmin = 132/4 - 3

33 - 3

30 in

f(x) was transformed to make g(x) by B) Horizontal or vertical stretch.

The transformation of a function may involve any change.

Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

Given that the function g(x) is a transformation of the parent function f(x).

To Decide how f(x) was transformed to make g(x).

The reflection of the point (x,y) across the line y = 1/2 x is the point (y, x).

By the given tables we can see that;

g(x) = 1/2 f (x)

Therefore, f(x) was transformed to make g(x) by B) Horizontal or vertical stretch.

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The proof of ∠WVY = ∠XVZ for the given angles in the figure has been proved.

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.

As per the given,

∠WVX = ∠YVZ

Since,∠WVX = ∠WVY - ∠YVX

∠YVZ = ∠XVZ - ∠YVX

Compare both,

∠WVY - ∠YVX  = ∠XVZ - ∠YVX

∠WVY = ∠XVZ (proved)

Hence "The proof of ∠WVY = ∠XVZ for the given angles in the figure has been proved".

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In given word problem , number of total pages in the book is 168.

What is word problem?

      Word problems in mathematics that concentrate on addition, subtraction, multiplication, and division, among other more precise operations A math word problem is a question that is written as one or more sentences and asks students to use their mathematical understanding to solve an issue from "real world." In order for kids to understand the word problem, they must be familiar with the terminology that goes along with the mathematical symbols that they are used to.

Here Eden and Kember are reading the same book.

Here Eden reads 1/6 pages of the book. And Kimber reads,

=> 1/6(total pages)+32 which is 60.

=> 1/6(x)+32=60

=>1/6(x)=60-32=28

=> x = 28*6

=> x = 168.

Therefore total number of page in the book is 168.

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The probability of each of these cases when binomial random variable with parameters n and p are given:

a. 0.4116, b. 0.5625, c. 0.329, d. 0.375, e. 0.0046

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes certainty. Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Here,

The formula is,

P(x)=(n/x)(P)ˣ(1-P)ⁿ⁻ˣ

a. n=4, x=1, p=0.3

P(x)=0.4116

b. n=2, x=0, p=0.25

P(x)=0.5625

c. n=5, x=2, p=0.33

P(x)=0.329

d. n=4, x=2, p=0.5

P(x)=0.375

e. n=3, x=3, p=1/6

P(x)=0.0046

When a binomial random variable with parameters n and p is given, the probability of each of the following cases is given is: a. 0.4116, b. 0.5625, c. 0.329, d. 0.375, and e. 0.0046

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The slope of the line is 2.

From the question, we have

the slope of the line that passes through two points is given by:

m = (y1 - y2) / (x1 - x2)

=(10-12)/(3-4)

=2

The slope of the line is 2.

Slope of a Line :

The ratio of the change in the y coordinate to the change in the x coordinate is known as a line's slope in mathematics.

Y and X, respectively, stand for the net change in the y-coordinate and the net change in the x-coordinate.

As a result, the formula for the change in y-coordinate with respect to the change in x-coordinate is m = change in y/change in x = y/x.

where the slope of a line is denoted by "m".

The graph of the equation y = mx + c has a slope of m, an intercept of m, and a y-intercept of c. In the slope-intercept version of the linear equation, m and c are real integer values.

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Converted form of ratio 60:52 in form n:1 is 10/7 : 1.

How to write a ratio in n:1 form?

In order that a ratio is written in the form n:1 we must make the right hand side equal to one.

n can be expressed as a decimal or a fraction.

According to the given question:

Convert ratio 60:52 in n:1 form

So, divide both sides of ratio with 52 to get 1 on right side of ratio.

60/52 : 1

10/7 : 1

Hence 10/7 : 1 is the converted form.

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The required slope of line perpendicular to the given line is 1/3.

perpendicular lines have slants that are negative reciprocals of each other. The given line's incline is 5, and that implies that the slant of the other line should be its negative equal. Angle between perpendicular lines is 90 degree.

Slope of first line (m) = -3

let the slope of other line is n,

then, we know that

m×n = -1

-3×n = -1

n = 1/3

Thus the slope onother line is 1/3.

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Answer:

1/3

Step-by-step explanation: