| ^2 + 6 + 1 | = 8 Solve equation using by factoring or using formulas

Answer:

Infinitely many solutions

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

Use the same method as before. Go from each original point in a direction perpendicular to the line of reflection, and then go the same distance to the other side of the line.

If teacher is distributing sheets in a class, then the equation which is used to find number of students in class is (d) 2x+8 = 3x - 11​.

A "Linear-Equation" is a mathematical equation that represents a straight line in a coordinate plane. It is of form : y = mx + b

where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept (the point at which the line crosses the y-axis).

Let number of students in class be denotes as "x",

If each student get 2 sheets, then 8 sheets are remaining, it is mathematically represented as : 2x + 8 ,

If each student get 3 sheets each, then there would be 11 sheets less, and this is represented as : 3x - 11,

So, the equation which is used to find number of students in class is 2x+8=3x-11,

Therefore, the correct option is (d).

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The given question is incomplete, the complete question is

If a teacher were to distribute sheets of paper so that each student got two sheets, there would be 8 sheets remaining. However, if three sheets were given to each student, the teacher would be 11 sheets short. Which equation could be used to find how many students are in the class?

(a) 2(x - 8) = 3(x + 11)

(b) 2(x + 8) = 3(x - 11)

(c) 2x-8 = 3x + 11

(d) 2x+8 = 3x - 11​

Answer:

The linear equation is y = 450 - 30 x, where y is the number of pages

Lourdes has left to read after x days

Step-by-step explanation:

Each day, Lourdes reads 30 pages of a 450-page book

- We need to write a linear equation to represent the number of pages

 Lourdes has left to read after x days

∵ Lourdes reads 30 pages each day

∵ Lourdes will read for x days

∴ The number of pages Lourdes will read in x day = 30 x

- The left pages will be the difference between the total pages of the

 book and the pages Lourdes read

∵ The book has 450 pages

∵ Loured will read 30 x in x days

∴ The number of pages left = 450 - 30 x

- Assume that y represents the number of pages Lourdes has left

 to read after x days

∴ y = 450 - 30 x

The linear equation is y = 450 - 30 x, where y is the number of

pages Lourdes has left to read after x days

Addiction is a chronic and compulsive disorder characterized by the inability to control or stop the use of a substance or engagement in a behavior despite negative consequences.

Addiction involves changes in the brain's reward and motivation systems, leading to a powerful and persistent urge to seek out and use the substance or engage in the behavior, even when it becomes detrimental to an individual's physical, mental, and social well-being. Addiction is often associated with tolerance (requiring larger amounts of the substance to achieve the desired effect) and withdrawal symptoms (unpleasant physical and psychological effects when the substance is discontinued). It can have severe consequences on various aspects of a person's life, including relationships, work or school performance, and overall health.

Addiction is a complex and multifaceted disorder that significantly impairs an individual's ability to function effectively in their daily life. It is important to approach addiction as a treatable medical condition rather than a moral failing, as it requires comprehensive treatment approaches that address the biological, psychological, and social factors contributing to its development and maintenance.

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The simplest form of 3x + 14 – x + \(1\frac{1}{2}\) is  2x + \(15\frac{1}{2}\). Both given expressions are not equivalent.

What is an expression?

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the expression 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Given expression is 3x + 14 – x + \(1\frac{1}{2}\)

Now combine like terms:

= (3x - x) + (14 + \(1\frac{1}{2}\))

= 2x +  (14 + \(1\frac{1}{2}\))

Convert mixed fraction to improper fraction:

= 2x +  (14 + 3/2)

= 2x + 31/2

= 2x + \(15\frac{1}{2}\)

The equivalent expression of 3x + 14 – x + \(1\frac{1}{2}\) is  2x + \(15\frac{1}{2}\). Therefore, 3x + 14 – x + \(1\frac{1}{2}\) is not equivalent to 4x + \(1\frac{3}{4}\).

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According to the given statement the probability is approximately 0.278 or 27.8%.

To calculate the probability of drawing at least one face card when selecting five cards from a standard deck without replacement, we need to determine the total number of possible outcomes and the number of favorable outcomes.

In a standard deck of 52 cards, there are 12 face cards (4 kings, 4 queens, and 4 jacks).

When drawing five cards without replacement, we need to consider two scenarios:

1. At least one face card is drawn.

2. No face cards are drawn.

To calculate the probability of scenario 1, we can use the complement rule. Brobability of drawing no face cards (scenario 2) can be subtracted from 1 to get the desired result.

To find the probability of scenario 2, we need to calculate the probability of drawing a non-face card on each draw, given that the previous draws did not result in a face card.

The probability of drawing at least one face card when selecting five cards from a standard deck without replacement is calculated as follows:

1 - (48/52 * 47/51 * 46/50 * 45/49 * 44/48) = 1 - 0.722 = 0.278

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The probability of Maria succeeding is 0.2.

Probability is the branch of discrete mathematics. It is used for calculating how likely an event is to occur or happen.

P( E )   =   number of favourable outcomes / number of total outcomes  → 1

The results  from the 25 samples showing success in each of the 10 trial throws:

Maria succeeds fewer than 7 times i.e. 5 and 6 times for 0 + 5 = 5 outcomes.

The probability of Maria succeeding at fewer than 7 throws in a sample of 10 free throws,

Number of favourable outcomes   =   5        →   (i)

Number of total outcomes   =   25                →   (ii)

Substitute (i) and (ii) in 1,

P( E )   =   5 / 25

           =   1 / 5

P( E )    =   0.2

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The complete question is

Answer: C. 00:00 $927; Vince wrote the wrong number to represent the interest rate.

Step-by-step explanation:

Given that:

Amount borrowed (p) = 900

Simple interest (r) = 1.5% = 0.015

Time (t) = 2 years

Amount he'll pay back (A) :

A = P(1 + rt)

A = 900(1 + 0.015(2))

A = 900(1 + 0.03)

A = 900(1.03)

A = $927

If the sample size is increased and the standard deviation and confidence level stay the same, then the margin of error will decrease, not increase. Hence, the statement "If the sample size is increased and the standard deviation and confidence level stay the same, then the margin of error will also be increased" is False.

What is margin of error?

Margin of error is a measure of the precision of an estimate.

It is used to represent the amount of inaccuracy that is inherent in any statistical conclusion based on a random sample.

The larger the margin of error, the less precise the estimate is.

A small margin of error indicates that the sample size is large and the data is consistent with the population.

The relationship between sample size and margin of error: Sample size and margin of error are inversely proportional to each other.

The larger the sample size, the smaller the margin of error, and vice versa.

This relationship is known as the square root law, which states that the margin of error decreases as the square root of the sample size increases, assuming all other factors are constant.

How does standard deviation and confidence level affect the margin of error?

Standard deviation measures the variability or dispersion of the data.

The larger the standard deviation, the larger the margin of error.

Confidence level is the degree of certainty that the result lies within the margin of error.

The higher the confidence level, the larger the margin of error.

Therefore, if the sample size is increased and the standard deviation and confidence level stay the same, then the margin of error will decrease, not increase.

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Ahmose - Cloak = king

Crown = prince

Kamose - Cloak = prince

Crown = emperor

Thutmose - Cloak = emperor

Crown = king

I think it's the answer. Byeeeeee

Let's denote the sizes of the cloaks and crowns as follows:

From the given information, we can deduce the following:

Let's use these deductions to solve for each son's sizes:

Therefore, the sizes of the pharaoh's sons are:

\(\huge{\colorbox{black}{\textcolor{lime}{\textsf{\textbf{I\:hope\:this\:helps\:!}}}}}\)

\(\begin{align}\colorbox{black}{\textcolor{white}{\underline{\underline{\sf{Please\: mark\: as\: brillinest !}}}}}\end{align}\)

\(\textcolor{blue}{\small\texttt{If you have any further questions,}}\) \(\textcolor{blue}{\small{\texttt{feel free to ask!}}}\)

♥️ \({\underline{\underline{\texttt{\large{\color{hotpink}{Sumit\:\:Roy\:\:(:\:\:}}}}}}\\\)

Answer:

192

Step-by-step explanation:

3c²+2c+2c²

3(6)² + 2(6) + 2(6)²

3(36) + 12 + 2(36)

108 + 12 + 72

= 192

Answer:

192

Step-by-step explanation:

3c²+2c+2c²

When a=−1, b=4, and c=6, then

Answer:

9485735

Step-by-step explanation:

The IQ score that corresponds to a standardized score of 2.10 is 121.

The IQ score corresponding to a standardized score of 2.10 is 121. This is determined by adding the product of the standardized score (2.10) and the standard deviation (10) to the mean IQ score (100).

The standardized score represents the number of standard deviations the raw score is from the mean. In this case, a standardized score of 2.10 indicates that the IQ score is 2.10 standard deviations above the mean.

Therefore, an IQ score of 121 corresponds to a standardized score of 2.10 on the IQ test.

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Answer:

45 feet

Step-by-step explanation:

To find the hypotenuse of that triangle, you would have to do 81-28, because that's the portion that snapped. That equals 53.

Then, we can apply the Pythagorean theorem: a^2+28^2=53^2

a^2=2025

a=45

Therefore, 45 feet

I hope this helped! Have a good rest of your day!

Answer:

The second choice: it is -1/2 through the line

Explanation:

First, let us calculate the slope of the line. Note that points A, B and O lie on the same line, and therefore, the lines they form have the same slope (slope of AB is the same as the slope of BO).

The slope of the line is

Hence, the slope of the line is -1/2 and therefore the second answer choice is the correct answer!

The area of ​​the playgrounds are,

⇒ Area of playgrounds = 2,178 m²

We have to given that;

The school plans to add 2 new playgrounds.

And, Each play area will be in the shape of a 33m by 33m squared.

Now, We know that;

Area of square = side²

Hence, We get;

⇒ Area of playgrounds = 2 × (side)²

⇒ Area of playgrounds = 2 × 33²

⇒ Area of playgrounds = 2,178 m²

Thus, The area of ​​the playgrounds are,

⇒ Area of playgrounds = 2,178 m²

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The given function f(x) = 16^x is an exponential function.

An exponential function is a mathematical function in which an independent variable appears in the exponent. In this case, the base of the function is 16, and the variable x is the exponent.

In the given function f(x) = 16^x, the variable x represents the exponent to which 16 is raised. As x increases, the function value grows rapidly, indicating exponential growth. The base of 16 signifies that the function is being multiplied by 16 for each unit increase in the exponent.

In contrast, a linear function has a constant rate of change, and a quadratic function has a squared term. The given function does not involve a linear relationship or a squared term, which confirms that it is not a linear or quadratic function.

Therefore, based on the given form f(x) = 16^x and the exponential growth nature of the function, we can classify it as an exponential function.

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Given:

The distance flown was 135 km.

The average speed was 180 km/h.

To find:

The time taken by the airplane.

Solution:

We know that,

\(Speed=\dfrac{Distance}{Time}\)

\(Time=\dfrac{Distance}{Speed}\)

Putting Distance = 135 and Speed = 180, we get

\(Time=\dfrac{135}{180}\)

\(Time=0.75\)

The time taken by the airplane is 0.75 hours.

We know that,

1 hour = 60 min

0.75 hour = 0.75 × 60 min

0.75 hour = 45 min

Therefore, the time taken by the airplane is 45 min.

Answer:

$39

Step-by-step explanation:

60 x 0.39 = 21

60 - 21 = 39

Kayla bought a necklace on sale for $39.

x ^3 + x ^2 + 9 x + 9 is the polynomial function that has given zeroes i.e. 1 , 3i

In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1.

It follows that since the polynomial has a zero 3i, it also must have a zero -3i. Thus, there would be a total of 3 zeros: -1, 3 and -3. The analogous polynomial would be (x+1)(x-3i)(x+3i), or

x ^3 + x ^2 + 9 x + 9

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Answer:

Here’s the answer! Best of luck.

Step-by-step explanation:

Answer:

=5×12÷[-12÷{15+(-9)}]

=5×12÷[-12÷6]

=5×12÷(-2)

=-30

Step-by-step explanation:

The total filter area Ar that is required to handle the feed slurry of example 29.1 with the drum submerged 25% is 429.3 m².

The filtration rate equation for rotary drum filters is given by the following formula:

\(\[\text{Filtration rate} = \frac{{(\pi DN V_s)}}{{(60 \times 1000)}}\]\)

Where, D = Diameter of the drum

N = Rotation speed of the drum

V_s = Filtration speed of the slurry

π = 3.14

By substituting the given values in the filtration rate equation we get:

\(\[\text{Filtration rate} = \frac{{3.14 \times 2 \times 1.25 \times V_s}}{{60 \times 1000}}\]\)

\(\[\text{Filtration rate} = \frac{{0.1309 \times V_s}}{{1000}}\]\)

If we multiply the filtration rate by the drum area, we can calculate the mass of filtrate produced per unit time. Mathematically it can be represented as:

\(\[\frac{{(Ar \times \text{{Filtration rate}} \times t)}}{{60}} = m\]\)

Where, Ar = Total filter area require

dt = Filtration time

m = Product capacity of the filter

We can simplify the above formula and solve for Ar as follows:

\(\[Ar = \frac{{60 \times m}}{{\text{{Filtration rate}} \times t}}\]\)

Substituting the given values we get,

\(\[Ar = \frac{{60 \times 350}}{{0.1309 \times V_s \times t}}\]\)

Thus, the total filter area Ar that is required to handle the feed slurry of example 29.1 with the drum submerged 25% is 429.3 m².

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To construct a 98 percent confidence interval for the difference in proportions, we need to calculate the sample proportions and the standard error of the difference. First, let p1 be the proportion of cell phone users with a headset who missed their exit, and p2 be the proportion of those talking to a passenger who missed their exit.

Step 1: Identify the proportions.
- Proportion of cell phone users with a headset who missed their exit (p1): 15/24
- Proportion of cell phone users talking to a passenger who missed their exit (p2): 6/24

Step 2: Calculate the difference in proportions (p1 - p2).
- (15/24) - (6/24) = 9/24 = 0.375

Step 3: Calculate the standard error (SE) for the difference in proportions.
- SE = √[(p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2)]
- SE = √[((15/24) * (1 - 15/24) / 24) + ((6/24) * (1 - 6/24) / 24)] = √(0.01042) = 0.102

Step 4: Find the critical value (z-score) for a 98% confidence interval.
- Using a z-table or calculator, the z-score for a 98% confidence interval is approximately 2.33.

Step 5: Calculate the margin of error (ME).
- ME = z-score * SE
- ME = 2.33 * 0.102 ≈ 0.238

Step 6: Construct the 98% confidence interval.
- Lower limit: (p1 - p2) - ME = 0.375 - 0.238 ≈ 0.137
- Upper limit: (p1 - p2) + ME = 0.375 + 0.238 ≈ 0.613

The 98% confidence interval for the difference in proportions is approximately (0.137, 0.613). This means we can be 98% confident that the true difference in the proportion of cell phone users with a headset who missed their exit and those talking to a passenger who missed their exit falls within this interval.

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Answer:

A

Step-by-step explanation:

Question: [10 pts] A curve is parameterized by the vector-valued function ⇀r(t) = 〈10√5 4t, 4t 5, 3〉. Find a parameterization of the tangent line to the curve at (x, y, z) = (50, 25, 3).

We have the vector-valued function:⇀r(t) = 〈10√5 4t,4t 5,3〉.We need to find the tangent line to the curve at the point (x, y, z) = (50, 25, 3).To find the tangent line, we need the tangent vector and a point on the curve. The point on the curve is (50, 25, 3).To find the tangent vector, we need to differentiate the vector-valued function. We have:⇀r(t) = 〈10√5 4t,4t 5,3〉Differentiating with respect to t, we get:⇀r'(t) = 〈10√5 4, 4, 0〉.We can substitute t = 5 into this equation to find the tangent vector at the point (50, 25, 3).

Therefore, the tangent vector is:⇀r'(5) = 〈10√5 4, 4, 0〉.Now, we have a point on the curve and the tangent vector. The point on the curve is (50, 25, 3), and the tangent vector is 〈10√5 4, 4, 0〉.The parameterization of the tangent line is given by:⇀l(t) = (50, 25, 3) + t 〈10√5 4, 4, 0〉 = 〈50 + 10√5 4t, 25 + 4t, 3〉.Therefore, the parameterization of the tangent line to the curve at (x, y, z) = (50, 25, 3) is given by:⇀l(t) = 〈50 + 10√5 4t, 25 + 4t, 3〉.

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Answer: False

Step-by-step explanation:

Researchers typically report the adjusted R-squared value in addition to the regular R-squared value, not because they lack confidence in the actual R-squared, but because the adjusted R-squared provides additional information about the goodness of fit of a statistical model. The regular R-squared value measures the proportion of the variance in the dependent variable that is explained by the independent variables in the model. However, it can be biased and increase as more predictors are added to the model, even if the additional predictors do not contribute significantly to the prediction.

The adjusted R-squared, on the other hand, takes into account the number of predictors in the model and penalizes the addition of irrelevant predictors. It provides a more conservative measure of the goodness of fit by adjusting for the number of predictors and the sample size. Researchers often use the adjusted R-squared to evaluate and compare different models with varying numbers of predictors or to assess the overall explanatory power of a model while considering its complexity.

In summary, researchers report the adjusted R-squared value to address the limitations of the regular R-squared and to provide a more accurate assessment of the model's goodness of fit.

Answer:

A single number that estimates the value of an unknown parameter is called a point estimate.

Step-by-step explanation:

Don't see the point (haha) of elaborating

Given

Find

Horizontal Asymptotes

Explanation

As we know that there is two possible cases in arational function for there to be a horizontal asymptotes.

both depend on the higher degree of numerator and denominator.

1, if degree of denominator is equal to degree of numerator then there will be a horizontal asymptote at the ratio between the coefficients of the highest degree of the function.

2. if degree of denominator is lower to degree of numerator then there will be a horizontal asymptote at the y=0

here in given function degree of denominator is less than degree of numerator , so horizontal asymptote at y=0

Final Answer

horizontal asymptote at y=0