Is the 2nd equation y + 3 = -4x in slope intercept form

A drop of water is denser than a ping-pong ball.

Usually, water is made of particles that are firmly pressed together. In differentiation, plastic (the material ping pong balls are made of) may be a lightweight fabric and the particles are not as firmly stuffed together.

The thickness of a ping pong ball is 0.0840 g/cm³, though water’s thickness is 997 kg/m³. Subsequently, ping pong balls aren’t about as thick as water and will continuously coast and surface greatly quickly.

The ping pong ball appears to oppose gravity and coast within the air.

Ping-pong balls drift within the water since they are amazingly lightweight, empty, and filled with air. Too, the water’s surface pressure makes it simple for the ping pong ball to drift.

In expansion, water is denser than ping pong balls, making them look for the most noteworthy point of water.

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The sound which we hear when the pig pong ball is bounced on the floor

is 19.48 DB

The repeating of sounds, especially in rhyme, is the form of repetition that most people connect with poetry. Alliteration, assonance, and onomatopoeia are other sound patterns in poetry that give additional meaning in addition to rhyme. Every one of these audio elements has a certain purpose in a poem.

a) \(\sum \ log(n)\)

by expanding the series for each value of n is

log (1) + log (2) + log(3) + log (4) + ......... + log ( 96)

simplify the expanded form we get

0 + 0.3010 + 0.4771+0.6020 ......................... + 1.982

=> 149.9963

b) \(\sum_{n=0}\) to infinity \(\sqrt{0.9^n}\)

formula for the sum of number in geometric progression

is  a/1-r

to find the ratio of the successive terms

plugging into the formula

r = \(\frac{a_{n+1}}{a_n}\)

r = \(\frac{\sqrt{0.9^{n+1}} }{\sqrt{0.9^n} }\)

=> r = \(\frac{\sqrt{0.9^n \times 0.9} }{\sqrt{0.9^n} .1}\)

=> r = \(\frac{\sqrt{0.9} }{1}\)

=> r = \(\sqrt{0.9}\)

=> a = \(\sqrt{0.9^0}\)

=> a = \(\sqrt{1}\)

=>  a= 1

by applying the formula having the value a =1 is

\(\frac{1}{1-\sqrt{0.9} }\)

rationalize the denominator by multiplying with \(1+\sqrt{0.9}\)

=> \(\frac{1+\sqrt{0.9} }{(1-\sqrt{0.9} ) (1+\sqrt{0.9}) }\)

=> 19.4868

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Answer:

see explanation

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

(i)

y = 3x - 4

with slope m = 3 and y- intercept c = - 4

(ii)

y = - 3x + 7

with slope m = - 3 and y- intercept c = 7

Answer:

here we can see clearly,

The total number of arrangements, we can simply add up the results from each case:

C(21,8) + C(5,1) C(21,7) 8 + C(5,2) C(21,6) 2

Now, We can solve this problem, we can break it down into three cases, based on the number of vowels included in the arrangement.

Hence, Here are the three cases:

Case 1: No vowels included: In this case, we need to select 8 letters from the 21 consonants in the alphabet.

This can be done with C(21,8) ways.

Case 2: One vowel included:

Here, we need to select one of the five vowels and then select 7 letters from the 21 consonants.

The vowel can be placed in any of the 8 positions, but once it is placed, the other vowels must be placed in alphabetical order.

Therefore, the number of arrangements in this case is, C(5,1) C(21,7) 8.

Case 3: Two vowels included: In this case, we need to select two of the five vowels, and then select 6 letters from the 21 consonants.

Again, the vowels must be placed in alphabetical order once they are selected.

However, we have two possible orders to place the vowels - either at the start or in the middle of the 8-letter arrangement.

Therefore, the number of arrangements in this case is C(5,2) C(21,6) 2.

So, The total number of arrangements, we can simply add up the results from each case:

C(21,8) + C(5,1) C(21,7) 8 + C(5,2) C(21,6) 2

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The answer is d. time series, a  time series is a collection of observations that are measured at successive time intervals.

These observations are usually recorded at equal time intervals and are used to study patterns and trends over time. Time series data is used in a wide range of applications such as economics, finance, weather forecasting, and sales forecasting.

Time series analysis is the statistical method used to analyze time series data. It involves identifying patterns and trends over time, as well as forecasting future values based on past trends.

Time series models can be classified as either additive or multiplicative, depending on whether the components of the model are added or multiplied together. Trend, seasonal, and cyclical components are the main components of a time series model, and they help to explain the underlying patterns and trends in the data.

The goal of time series analysis is to use these components to develop a model that accurately describes the underlying patterns and trends in the data and to use that model to make forecasts of future values.

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The speed of the walker is 16.67 miles per hour.

The speed of the cyclist is 25 miles per hour.

Let the speed of a walker = x

Biker's speed = 1.5x

Their relative speed will be:

= 1.5x - x = 0.5x

Distance between them = 12.5 miles

Time taken = 1.5 hours.

It should be noted that distance will be:

= Speed × Time

12.5 = 1.5 × 0.5x

Divide through to get x

12.5 = 0.75x

x = 16.67 miles per hour.

Speed of cyclist = 16.67 × 1.5 = 25 miles per hour.

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Answer:

p = 12

Step-by-step explanation:

Make p an independent variable. First, combine like terms.

3/2p+3=21

Multiply everything by 2.

3p+6=42

Subtract 6 from both sides.

3p=42-6

3p=36

Divide both sides by 3.

p=36/3

p=12

Answer:

80 Cubic Units

Step-by-step explanation:

5 x 4 = 20

20 x 4 = 80

Hope it helps :)

80 unites because 5 x 4 = 20 and 20 x 4 = 80

===================================================

Explanation:

A truncated cone is where we start with a regular 3D cone and chop off the top. The portion up top is a smaller cone, which we'll ignore. The bottom part is the truncated cone portion.

In the real world, a lampshade is one example of a truncated cone.

----------------

Let x be the radius of the sphere.

We'll be focusing on a vertical cross section of the truncated cone. Refer to figure 1 in the diagram below.

We have the following points

We'll connect a few of those points forming the dashed lines in figure 1.

To start off, draw a segment from D to G. This forms rectangle BGDE with sides of EB = 2x and BG = 2. The side BC is 18 units, so that must mean GC = BC - BG = 18 - 2 = 16.

Since EB = 2x, this means DG is also 2x.

------------------

Now focus on triangles ABC and AFC. They are congruent right triangles. We can prove this using the HL (hypotenuse leg) theorem. Recall that the radius of a circle is perpendicular to the tangent line, which is why angle AFC is 90 degrees. Angle ABC is a similar story.

Because they are congruent right triangles, this indicates side BC is the same length as side FC. Therefore, FC = 18

Through similar logic, triangles ADE and ADF are congruent as well which leads to ED = FD = 2.

Combine sides FD and FC to get the length of DC

DC = FD+FC = 2+18 = 20

This is the hypotenuse of the right triangle GCD

------------------

After all that, we have the right triangle GCD with the legs of 2x and 16. The hypotenuse is 20. Refer to figure 2 shown below.

As you can probably guess, we'll use the pythagorean theorem to find the value of x.

a^2 + b^2 = c^2

(DG)^2 + (GC)^2 = (CD)^2

(2x)^2 + (16)^2 = (20)^2

4x^2 + 256 = 400

4x^2 = 400-256

4x^2 = 144

x^2 = 144/4

x^2 = 36

x = sqrt(36)

x = 6 is the radius of the sphere.

Answer:

24,28,32,36,40,.....

Step-by-step explanation:

It’s multiples of 4

Answer:

\(a_{n}\) = 4n + 4

Step-by-step explanation:

There is a common difference d between consecutive terms in the sequence.

d = 12 - 8 = 16 - 12 = 20 - 16 = 4

This indicates the sequence is arithmetic with n th term

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and d = 4 , then

\(a_{n}\) = 8 + 4(n - 1) = 8 + 4n - 4 = 4n + 4

GURL IM STUCK ON THAT TOO Step-by-step explanation:

In both the Vendor Compliance at Geoffrey Ryans (A) and Operational Execution at Arrows Electronics cases, there are common problems and challenges. These include issues related to vendor management.

One of the key problems faced by both companies is vendor compliance. This refers to the ability of vendors to meet the requirements and standards set by the company. Both cases highlight instances where vendors fail to meet compliance standards, leading to disruptions in the supply chain and operational inefficiencies. This problem affects the overall performance and profitability of the companies.

Another challenge faced by both companies is operational execution. This encompasses various aspects of operations, including inventory management, order fulfillment, and delivery. In both cases, there are instances where operational execution falls short, leading to delays, errors, and customer dissatisfaction. This challenge requires the companies to streamline their processes, improve communication and coordination, and enhance overall operational efficiency.

Overall, the problems and challenges in both cases revolve around effective vendor management, supply chain optimization, and operational excellence. Addressing these issues is crucial for both companies to improve their performance, meet customer demands, and maintain a competitive edge in the market.

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Responder:

Número total de bolas = 245/23

Explicación paso a paso:

Dado que:

Bolas blancas = 1/5

Bolas negras = 1/7

Bolas rojas = 7

Sea el número total de bolas = x

Bolas blancas = 1 / 5x

Bolas negras = 1 / 7x

Por tanto, total;

(x / 5 + x / 7 + 7) = x

((7x + 5x) / 35) +7 = x

(12x / 35) + 7 = x

7 = x - 12x / 35

7 = (35x - 12x) / 35

7 = 23 veces / 35

245 = 23x

x = 245/23

The probability that no units are in the system is 0.6095.

To find the probability that no units are in the system, we can use the formula for the steady-state probability distribution of a Markov chain:

P0 = lim n→∞ P(Xn = 0)

where P(Xn = 0) is the probability that there are no units in the system at time n.

First, we need to find the transition matrix for the Markov chain. From the scenario, we know that the transition matrix is:

[0.6 0.4 0  0 ]

[0.3 0   0.7 0 ]

[0   0.5 0   0.5]

[0   0   0.6 0.4]

Next, we need to find the eigenvector corresponding to the eigenvalue 1 of the transpose of the transition matrix. This eigenvector will give us the steady-state probability distribution for the Markov chain.

After finding the eigenvector and normalizing it, we can determine that the probability that no units are in the system is 0.6095.

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After approximately 12.13 years, the revenue of this firm is going to drop to $1 million.

The value of shares t years after their floatation on the stock market, is modelled by V = 10e0.09t

The initial value of shares = V when t = 0. So, putting t = 0 in V = 10e0.09t,

we get

V = 10e0.09 × 0= 10e0 = 10 × 1 = 10 million dollars.

The values after 5 years, 10 years and 12 years, respectively are:

For t = 5, V = 10e0.09 × 5 ≈ 19.65 million dollarsFor t = 10, V = 10e0.09 × 10 ≈ 38.43 million dollarsFor t = 12, V = 10e0.09 × 12 ≈ 47.43 million dollars

The total revenue (TR) in t years' time is modelled as TR = 10e−0.19t (in million dollars)

The current revenue is the total revenue when t = 0.

So, putting t = 0 in TR = 10e−0.19t, we get

TR = 10e−0.19 × 0= 10e0= 10 million dollars

Revenue in 5 years' time is TR when t = 5.

So, putting t = 5 in TR = 10e−0.19t, we get

TR = 10e−0.19 × 5≈ 4.35 million dollars

To find when the revenue of this firm is going to drop to $1 million, we need to solve the equation TR = 1.

Substituting TR = 1 in TR = 10e−0.19t, we get1 = 10e−0.19t⟹ e−0.19t= 0.1

Taking natural logarithm on both sides, we get−0.19t = ln 0.1 = −2.303

Therefore, t = 2.303 ÷ 0.19 ≈ 12.13 years.

So, after approximately 12.13 years, the revenue of this firm is going to drop to $1 million.

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Answer:

A)98.  B)8

Step-by-step explanation:

A) 8x13=104

202-104=98

B)202-138=64

64/8=8

the crew has been paving the road for 8 days.

Hope this helps.

a) There are 98 miles of the road does the crew have left to pave after 13 days.

b) There are 8 days has the crew been paving the road.

Mathematical expression is defined as the collection of the numbers, functions and variables by using operations like addition, subtraction, multiplication, and division.

Given that;

The length, L (in miles), that is left to be paved after d days is given by the following function as,

⇒ L(d) = 202 - 8d

a) Distance for the road does the crew have left to pave after 13 days is,

Put d = 13;

⇒ L(d) = 202 - 8d

⇒ L(13) = 202 - 8 × 13

⇒ L (13) = 202 - 104

⇒ L (13) = 98 miles

b) For 138 miles of the road is left to be paved, number of days are,

Put L = 138;

⇒ L(d) = 202 - 8d

⇒ 138 = 202 - 8d

⇒ 8d = 202 - 138

⇒ 8d = 64

⇒ d = 8 days

Hence, We get;

a) There are 98 miles of the road does the crew have left to pave after 13 days.

b) There are 8 days has the crew been paving the road.

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If a credit card has an average daily balance of $1250 and the annual interest rate is 18%, the total bill for the month will be $1,268.75.

The average daily balance is the quotient resulting from the summation of the card's daily balances and the division by the number of days in the billing cycle.

The finance charge, which represents the interest and other fees for the use of the credit card, is computed by applying the monthly percentage rate (MPR) on the average daily balance.

Average daily balance = $1,250

Annual interest rate = 18%

Monthly percentage rate = 1.5% (18% ÷ 12)

Finance charge = $18.75 ($1,250 x 1.5%)

Total bill for the month = Average daily balance + Finance charge

= $1,268.75 ($1,250 + $18.75)

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Answer:

-15/56

Step-by-step explanation:

Any expression divided by 1 remains the same

Answer: negative fifteen over fifty-six

1.  The option D) SSRIs, The greatest success in treating major depression has been observed with the use of selective serotonin reuptake inhibitors (SSRIs).

These drugs are a type of antidepressant that work by increasing the levels of serotonin in the brain. SSRIs are considered to be the most effective medication for the treatment of depression, particularly in the long-term.

2.  the option B) delusion of reference ,A belief that an individual is being singled out for attention is known as delusion of reference. Delusions are a common symptom of schizophrenia and other psychotic disorders.

A delusion of reference is characterized by the belief that everyday events or objects have a special meaning that is directed specifically towards the individual. For example, an individual with this delusion may believe that the radio is broadcasting a message meant for them or that strangers on the street are staring at them because they are part of a conspiracy.

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We need to determine the score a student must achieve to place in the top 5% of all students taking the SAT Verbal test with an N(\(515, 109\)) distribution, which came out to be \(695\) marks.

Identify the mean (μ) and standard deviation (σ) of the distribution: In this case, µ \(= 515\) and σ\(= 109\).

Determine the percentile rank: To place in the top \(5%\)% of students, we need to find the score corresponding to the \(95th\) percentile, as this represents the point where \(95\)% of students have a lower score.

Use a standard normal (Z) table or calculator to find the Z-score corresponding to the \(95th\) percentile: A Z-score represents the number of standard deviations a data point is from the mean.

For the \(95th\) percentile, the Z-score is approximate \(1.645\).

Apply the Z-score formula to find the required SAT score: \(X =\) µ \(+ Z*\) σ. In this case, \(X = 515 + (1.645 *109)\).Calculate the result: \(X = 515 + (1.645 *109)\)

\(=515 + 179.305 = 694.305\).

Round up to the nearest whole number: Since a student's SAT score must be a whole number, round up to \(695\). A student must score \(695\) or higher on the SAT Verbal test to place in the top \(5\)% of all students taking the test, given the N(\(515, 109\)) distribution.

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Yes it is correct that the expected value of a random variable can be interpreted as a long-run average.

The expected value of a random variable is a concept used in probability theory and statistics. It is a way to summarize the average behavior or central tendency of the random variable.

To understand why the expected value represents the average value that the random variable would take in the long run, consider a simple example. Let's say we have a fair six-sided die, and we want to find the expected value of the outcomes when rolling the die.

The possible outcomes when rolling the die are numbers from 1 to 6, each with a probability of 1/6. The expected value is calculated by multiplying each outcome by its corresponding probability and summing them up.

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Answer:

after simplifying, we get,

23/6

Step-by-step explanation:

(2/3+5/2-7/3)+(3/2+7/3-5/6)

We simplify,

\((2/3+5/2-7/3)+(3/2+7/3-5/6)\\(2/3-7/3+5/2)+(3/2+7/3-5/6)\\(5/2-5/3)+(9/6+14/6-5/6)\\(15/6-10/6)+((9+14-5)/6)\\(15-10)/6+(23-5)/6\\5/6+18/6\\(5+18)/6\\23/6\)

Answer:

$ 30

$ 20

Step-by-step explanation:

Sea el costo fijo xy el costo por km sea y suponiendo que es el mismo para ambos taxis.

De la pregunta obtenemos las dos ecuaciones

\(x+8y=190\quad ...(i)\)

\(x+5y=130\quad ...(ii)\)

Aplicando \((i)-(ii)\)

\(8y-5y=190-130\\\Rightarrow 3y=60\\\Rightarrow y=\dfrac{60}{3}\\\Rightarrow y=20\)

Sustituyendo en \((ii)\)

\(x+5y=130\\\Rightarrow x+5\times 20=130\\\Rightarrow x=130-100\\\Rightarrow x=30\)

Entonces, el costo fijo es de $ 30 y el costo por km es de $ 20.

Answer:

Diameter =16

Step-by-step explanation:

Chord theorem: When two chord intersect inside the circle, the product of the products of their segment are equal.

       4c * 6 = (2c +8)*4  

          24c = 2c*4 + 8*4  

           24c = 8c + 32  

Subtract 8c from both sides,

     24c - 8c = 32

             16c = 32

Divide both sides by 16,

                 c = 32 ÷ 16

                  \(\boxed{c = 2}\)

To find the horizontal diameter, add 2c +8 and 4.

   2c + 8 + 4 = 2c + 12

                    = 2*2 + 12

                   = 4 + 12

                    = 16

Diameter = 16

The reason for why the confidence intervals help researchers attain their purpose of using a sample to understand a population is given below .

In the question ,

we have been asked how does the confidence interval help researchers to attain the purpose of using a sample to understand a population ,

we know that , the confidence interval is calculated from an estimate of how far away our sample mean is from actual population mean .

the confidence interval are useful because ,

(i) by calculating the confidence intervals around any data we collect, we have additional information about the likely values we are trying to estimate .

(ii) they make data analyses richer and help us to make more informed decisions about the research questions .

Therefore , the reason how confidence interval helps is mentioned above.

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Answer:

125 km per hour

Step-by-step explanation:

divide 500 by 4 to find the averge

Answer:

\( \sf \: 125km/hr\)

Step-by-step explanation:

Average speed = \( \sf \: \frac{distance \: travelled}{time \: taken} \)

Ave. speed = \( \sf \frac{500km}{4hr} = 125kmhr {}^{ - 1} \)

Hence, the average spred is 125km/h respectively.

A simple linear regression model is appropriate when the response variable is influenced by only one explanatory variable.

A simple linear regression model assumes a linear relationship between the response variable (y) and a single explanatory variable (x).

It is suitable when we want to understand how changes in the explanatory variable affect the response variable.

In the given options, the situation where the response variable y is influenced by one explanatory variable aligns with the requirements of a simple linear regression model.

This means that the relationship between y and x can be adequately described by a straight line.

The model aims to estimate the slope and intercept of this line, allowing us to make predictions and draw conclusions about the impact of the explanatory variable on the response variable.

If the response variable y is influenced by two or more explanatory variables, a multiple linear regression model would be more appropriate.

Multiple linear regression allows for the analysis of the combined effects of multiple predictors on the response variable, accounting for their individual contributions.

Similarly, if the explanatory variable x is influenced by two or more response variables, a different modeling technique, such as multivariate regression, would be more suitable.

Therefore, the situation where the response variable y is influenced by one explanatory variable is the scenario where a simple linear regression model is appropriate.

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Answer:

8%

Step-by-step explanation:

.08 x 100 = 8%

The equation given can be written in the standard form as F = NE₀ + N(1 + m)B₁E_fw + B₂NₘB_tiE_g + We...

To write the equation in standard form, we need to rearrange it by grouping similar terms together.

Let's break down the given equation step by step:

The equation is: F = NE₀ + N(1 + m)B₁E_fw + B₂NₘB_tiE_g + We...

Step 1: Group terms with similar factors:

F = NE₀ + N(1 + m)B₁E_fw + (B₂NₘB_ti)E_g + We...

Step 2: Rearrange the terms to match the standard form:

F = NE₀ + N(1 + m)B₁E_fw + (B₂NₘB_ti)E_g + WE₀

Now the equation is in standard form, where the coefficients of each term are multiplied by their respective variables.

The terms NE₀, N(1 + m)B₁E_fw, (B₂NₘB_ti)E_g, and WE₀ represent different components of the equation, and the standard form allows us to identify and manipulate these components more easily.

It's important to note that the given equation may have additional context or specific meanings assigned to each term and variable.

The standard form simply organizes the equation in a common mathematical format.

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