Factor the expression using the GCF. 1. 24y + 88x= 2. 10x - 25y = 3. 14x - 98 = 4. 36x + 9 = 5. 50x - 60 = 6. 26x - 13 = 7. 15x + 6 = 8. 2x + 10 = 9. 48 + 80 = 10. 84 + 28 = 11. 100 - 80 = 12. 60 - 36 = 13. 70 + 95 = 14. 18 - 12 = 15. 44 - 11 = Please help me I will mark as Brainly

The mode of the survey results is 6 hours, as this was the most commonly reported number of hours of video games played in the previous week.

The mode of the survey results is the most frequently occurring number of hours of video games played in the previous week. In this survey, the most commonly reported number of hours played was 6. This is because 9 students reported playing 6 hours of video games in the previous week, which is the highest number of students reporting any single amount of hours played. The other numbers of hours played were reported less often, with 2 students reporting 5 hours, 4 students reporting 2 hours, 2 students reporting 1 hour, and 3 students reporting 0 hours. Therefore, the mode of the survey results is 6 hours.

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The transmitted intensity i1 is approximately 19.32 watts per square meter.

An indicator of a physical phenomenon's strength or power, such as light, sound, or radiation, is its intensity. It is often expressed in terms of the quantity of energy being transmitted or received per unit area or volume. For instance, the intensity of light is expressed in watts per square metre, while the strength of sound is expressed in watts per square metre per hertz. Distance, direction, and the qualities of the medium through which the phenomenon is transmitted can all have an impact on intensity.

To find the transmitted intensity (i1), we need to use the formula:

\(i1 = i0 * cos(θ0 - θta)\)

where i0 is the initial intensity, \(θ0\)is the initial angle, and \(θta\) is the transmitted angle.

Step 1: Calculate the difference between the angles:
\(Δθ = θ0 - θta\) = 25.0 degrees - 40.0 degrees = -15.0 degrees

Step 2: Convert the angle difference to radians:
\(Δθ\)(in radians) = -15.0 degrees *\((\pi /180)\) ≈ -0.2618 radians

Step 3: Calculate the cosine of the angle difference:
\(cos(Δθ) ≈ cos(-0.2618)\)≈ 0.9659

Step 4: Calculate the transmitted intensity (i1):
i1 = i0 * \(cos(Δθ)\) = 20.0\(W/m^2\) * 0.9659 ≈ 19.32 \(W/m^2\)

So, the transmitted intensity i1 is approximately 19.32 watts per square meter.

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Answer:

f(-4) = 16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(n) = n²

f(-4) is n = -4

Step 2: Evaluate

\( \frac{ {x}^{2} + 2x - 8 }{ {x}^{2} - 3x - 10 } \)

let the denominator x² - 3x - 10 is f(x),

• Setting this factor equal to 0,

→ x² - 3x - 10 = 0

• By using Middle term splitting method,

→ x² - 5x + 2x - 10 = 0

→ (x² - 5x) + (2x - 10) = 0

• Taking common,

→ x( x - 5 ) + 2( x - 5 ) = 0

→ ( x - 5 ) ( x + 2 ) = 0

• Again, setting these factors equal to 0,

( x - 5 ) = 0 and ( x + 2 ) = 0

→ x = 5 → x = -2

Hence, the values that would make the fraction undefined is x = 5,-2...

The values x = 5 and x = -2 would make the fraction undefined since they would result in a zero denominator.

To find the values that would make the fraction undefined, we need to identify any values of x that would make the denominator equal to zero.

The denominator of the fraction is (\(x^2 - 3x - 10\)). We need to solve the equation:

\(x^2 - 3x - 10 = 0\)

To factorize the quadratic equation, we look for two numbers that multiply to -10 and add up to -3. These numbers are -5 and 2:

(x - 5)(x + 2) = 0

Now, we can set each factor equal to zero and solve for x:

x - 5 = 0 => x = 5

x + 2 = 0 => x = -2

Therefore, the values x = 5 and x = -2 would make the fraction undefined since they would result in a zero denominator.

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Answer:

737.48 ft^2

Step-by-step explanation:

20.6*35.8

Answer:

Step-by-step explanation:

The equation for this surf instructors' price would be y = 8x + 12.

The y-intercept would be located at (0,12) as that is the initial price that the instructor charges before pricing hourly.

Hope this helps, but if you have any questions, please let me know. :)

Answer:

hundredths place

Step-by-step explanation:

Answer:

45 jeweled and 20 enameled music boxes.

Step-by-step explanation:

( j stands for jeweled and e stands for enameled )

j + e = 25        The equation for the original total of music boxes.

3j + 2e = 65    The equation for the current total of music boxes.

15{ j } + 10{e} = 25     Since the total is 25, I know that the variable will be a multiple of 5. (since that's the only way to get a number that ends in 5).

3(15) + 2(10) = 65  

45 + 20 + 65

The answer is B! :)

It is instructed that we change 44.0 gallons to liters. One gallon is one unit of volume. A gallon is equivalent to 3.785 liters.

3.785411784 litres make to one US gallon. 4 quarts, 8 pints, or 128 fluid ounces make up a gallon. In American measurements, a gallon is equivalent to 3.785 litres, 128 fluid ounces, 4 quarts, 8 pints, or 16 cups. A gallon's volume is about equivalent to 3.78541 litres. Thus, a gallon is more than three litres. A gallon of one liquid could weigh differently than a gallon of another. As one imperial gallon is equal to 4.54609 litres, it takes up space that is nearly 4,546 cubic centimetres (roughly a 16.5cm cube). An average glass holds eight ounces. So, 16 eight-ounce glasses of water make up a gallon.

44.0 gallons to 3.785 liters.

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The number of non-fiction books sold on Friday will be two-and-a-half times the number of arts and crafts books sold on Friday. Therefore, option B is the correct answer.

We can see from the table that on Thursday, 7 sports and trivia books and 19 arts and crafts books were sold, for a difference of 12.

On Thursday, 13 non-fiction books and 19 arts and crafts books were sold. If we assume that the same ratio will hold on Friday, then we can predict that the number of non-fiction books sold will be (19/2)×2.5 = 23.75, which is not a whole number. Therefore, this prediction is not supported by the data.

Therefore, option B is the correct answer.

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By substituting the values of A, S, D, and \(S^{(-1)}\) in the equation \(A = SDS^{(-1)}\), we can verify the diagonalization.

To find the matrix S, D, and \(S^{(-1)}\) such that \(A = SDS^{(-1)}\), we need to perform the diagonalization of matrix A.

Let's start by finding the eigenvalues of matrix A. The characteristic equation is given by:

|A - λI| = 0,

where A is the matrix, λ is the eigenvalue, and I is the identity matrix.

Using the given matrix A:

|12 - λ  -8|

|-6   2 -2|

| -2  -2  8| = 0.

Expanding the determinant and simplifying, we get:

(12 - λ)[(2 - λ)(8) - (-2)(-2)] - (-6)[(-6)(8) - (-2)(-2)] + (-2)[(-6)(-2) - (2)(-2)] = 0.

Simplifying further:

(12 - λ)[16 - 4λ + 4] + 36(8) + 4 = 0,

(12 - λ)(20 - 4λ) + 292 = 0,

240 - 48λ - 20λ + 4λ^2 + 292 = 0,

4λ^2 - 68λ + 532 = 0,

λ^2 - 17λ + 133 = 0.

Solving this quadratic equation, we find two distinct eigenvalues:

λ₁ = (17 + √(17^2 - 4(133))) / 2 = 8 + √7,

λ₂ = (17 - √(17^2 - 4(133))) / 2 = 8 - √7.

Next, we need to find the corresponding eigenvectors.

For λ₁ = 8 + √7:

Substituting back into (A - λI)X = 0, we get:

(12 - (8 + √7))x - 8y - 2z = 0,

-6x + (2 - (8 + √7))y - 2z = 0,

-2x - 2y + (8 - (8 + √7))z = 0.

Simplifying:

(4 - √7)x - 8y - 2z = 0,

-6x - √7y - 2z = 0,

-2x - 2y - √7z = 0.

Solving this system of equations, we find the eigenvector X₁ corresponding to λ₁.

Similarly, for λ₂ = 8 - √7, we find the eigenvector X₂.

Once we have the eigenvectors, we construct the matrix S by placing the eigenvectors as columns.

Finally, the diagonal matrix D is constructed by placing the corresponding eigenvalues along the diagonal.

Then, the inverse of matrix S, denoted as S^(-1), is calculated.

By substituting the values of A, S, D, and S^(-1) in the equation A = SDS^(-1), we can verify the diagonalization.

Therefore, the complete calculation involves finding the eigenvectors and performing matrix operations, which cannot be fully described in a text-based response. By using symbolic math software or a calculator to perform these calculations accurately.

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The simplification of 7x^2(6x + 3x^2 - 4) is 42x^3 + 21x^4 - 28x^2. The powers of x are multiplied accordingly, and the coefficients are distributed and combined.

To simplify the expression 7x^2(6x + 3x^2 - 4), we can distribute the 7x^2 to each term within the parentheses:

7x^2 * 6x + 7x^2 * 3x^2 - 7x^2 * 4

This simplifies to:

42x^3 + 21x^4 - 28x^2

Therefore, the correct simplification of the expression is 42x^3 + 21x^4 - 28x^2. The powers of x are combined accordingly, and the coefficients are multiplied accordingly. This simplification is obtained by applying the distributive property and combining like terms.

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The value of P(A and B) is 0.24.

What is Conditional probability?

Conditional probability is a type of probability that describes the likelihood of an event occurring given that another event has already occurred. It is calculated by dividing the probability of the joint occurrence of both events by the probability of the occurrence of the event that has already occurred.

More formally, if we have two events A and B, the conditional probability of event A given event B is denoted by P(A|B) and is defined as:

P(A|B) = P(A and B) / P(B)

We are given :

P(A)=0.6, P(B)=0.4, and P(B|A)=0.4

We can use the formula for conditional probability to solve :

P(B|A) = P(A and B) / P(A)

We can write it as :

P(A and B) = P(B|A) * P(A)

Now, Substituting in the given values, we get:

P(A and B) = 0.4 * 0.6 = 0.24

Therefore, the probability of both events A and B occurring is 0.24.

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Step-by-step explanation:

5+3+2+7+6 = 23 people    and you want to choose one :  23 ways

There are 23 ways to select a person who lives on a street with five houses if the number of people in these houses are 5, 3, 2, 7, and 6.

To answer this question, we need to make use of the multiplication rule of counting.

To determine the number of ways to select a person who lives on a street with five houses,

where the number of people in these houses are 5, 3, 2, 7, and 6,

we need to consider the total number of people and assign one person as the selected person.

The multiplication rule of counting states that if there are m ways to perform an operation and

n ways to perform another operation, then there are m × n ways to perform both operations.

The total number of ways to select a person who lives on a street with five houses if the number of people in these houses are 5, 3, 2, 7, and 6 is:

5 + 3 + 2 + 7 + 6 = 23 people.

To select a person living on this street, there are 23 possible choices (ways) to make.

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Why the solution for an absolute value equation or inequality typically result in a pair of equations or inequalities?

Because the absolute value equations behave differently in the different ranges.

For a given absolute value equation (or inequality)

| x - a| = b

We get two equations or inequalities:

x - a = b

x - a = - b

And this is why the solution leads to two equations, this originates in the fact that the parent absolute value function:

f(x) = |x|

Behaves differently if x is positive or negative.

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The area A burned as a function of time, t is

A(t)=78.5t²+62.8t+12.56

A circle's or sphere's radius is any of the line segments that connect the object's center to its perimeter; in more recent usage, it is also their length.

According to the given values ;

r(t)=5t+2

.°. A(t)=πr²=π*(5t+2)²

        =π(25t²+20t+4)

        = 78.5t²+62.8t+12.56

hence ,the area A burned as a function of time, t is

A(t)=78.5t²+62.8t+12.56

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Essentially, a contingency table with 10 rows and 11 columns has (D) 90 degrees of freedom.

A contingency table is a matrix-form table that shows how often different combinations of variables appear.

It's really popular in survey research, business intelligence, engineering, and scientific research. Basically, a contingency table with 10 rows and 11 columns has 90 degrees of freedom.

They are also sometimes known as two-way frequency tables and are used to show how often different combinations of variables occur.

A contingency table gives you an idea of how two variables relate to each other.

It displays one categorical variable along the rows and another categorical variable along the columns. It can help point out any interactions between them.

Therefore, essentially, a table with 10 rows and 11 columns has (D) 90 degrees of freedom.

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Complete question:

The degrees of freedom for a contingency table with 10 rows and 11 columns are:

A. 100

B. 110

C. 21

D. 90

Answer:

me jwIEUFIWFewd

Step-by-step explanation:

i DOO!! thank you!!

here! *gives cake in return* i hope you like it!! bye!!

The value of a restaurant can vary based on numerous factors, including revenue, profitability, location, brand reputation, and market conditions. While the average revenue of $3 million per year provides a starting point for assessing the restaurant's value, it is not sufficient to determine the exact worth.

A comprehensive evaluation is necessary, considering both financial and non-financial aspects, to arrive at a realistic and fair valuation for selling the restaurant.

When determining the value of a restaurant for sale, revenue is just one piece of the puzzle. Other factors such as profitability, location, brand reputation, and market conditions significantly influence the overall worth. While revenue provides a general indication of the business's performance, profitability is equally crucial, as it considers the expenses and costs associated with running the restaurant. A profitable restaurant with consistent revenue demonstrates a healthier financial position, making it more attractive to potential buyers.

Additionally, the location of the restaurant plays a vital role in its value. Restaurants in prime locations with high foot traffic and favorable demographics are typically valued higher than those in less desirable areas. A well-established brand reputation, positive customer reviews, and a loyal customer base can also enhance the value of the restaurant, as they indicate a strong market presence and potential for continued success under new ownership.

Market conditions also impact the value of a restaurant. Factors such as the overall economy, industry trends, and competition in the local market can influence the demand and pricing for restaurant businesses. An optimistic market with a high demand for restaurant acquisitions can result in a higher valuation, while a sluggish market may lead to a more conservative estimate.

Ultimately, determining the precise value of a restaurant requires a comprehensive evaluation that considers financial performance, non-financial factors, and market conditions. Engaging professional appraisers or business brokers experienced in restaurant valuations can provide a more accurate estimate of the restaurant's value, helping sellers make informed decisions when entering the market.

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Answer:

\(\boxed{(-3+5i)(1)=-3+5i}\)

Step-by-step explanation:

Multiplicative Identity Property:

So knowing this lets see which one is multiplying by 1:

______________________________

 \(\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~-TotallyNotTrillex}\)

Answer:

n = 12

Step-by-step explanation:

Given equation:

\(\dfrac{9}{n}=\dfrac{75}{100}\)

We can solve the equation for the unknown quantity, n, by cross-multiplying, which means multiplying both sides of the equation by the product of the denominators.

The denominator of a fraction is the part below the division bar.

The denominators of the given equation are n and 100, so their product is 100n.

Multiply both sides by 100n:

\(\implies \dfrac{9}{n} \cdot 100n=\dfrac{75}{100}\cdot 100n\)

Simplify and cancel the common factors:

\(\implies \dfrac{9\cdot 100n}{n} =\dfrac{75\cdot 100n}{100}\)

\(\implies 9\cdot 100 =75\cdot n\)

\(\implies 900 =75n\)

To solve for n, divide both sides of the equation by 75:

\(\implies \dfrac{900}{75} =\dfrac{75n}{75}\)

\(\implies 12=n\)

Therefore, the unknown quantity, n, is 12.

Answer:

Step-by-step explanation:

To find:-

Answer:-

The given equation to us is ,

\(\longrightarrow \dfrac{9}{n}=\dfrac{75}{100} \\\)

Simplify the RHS of the equation. This can be done by dividing the numerator and denominator by 25 as it is the HCF of 75 and 100 . So we have;

\(\longrightarrow \dfrac{9}{n}=\dfrac{75\div 25}{100\div 25} \\\)

Simplify,

\(\longrightarrow \dfrac{9}{n} = \dfrac{3}{4} \\\)

Flip the numerator and denominator on both the sides , as ;

\(\longrightarrow \dfrac{n}{9} =\dfrac{4}{3} \\\)

Multiply both the sides by 9 as ,

\(\longrightarrow \dfrac{n}{9}\times 9 =\dfrac{4}{3}\times 9\\\)

Simplify,

\(\longrightarrow \boxed{\boldsymbol{ n = 12}} \\\)

Henceforth the value of n is 12 .

a) The transition matrix for the Markov chain representing the end of a volleyball game can be constructed based on the given states. The matrix will have dimensions 6x6, with each element representing the probability of transitioning from one state to another. The transition probabilities depend on the probabilities of winning rallies for each team. The resulting transition matrix is as follows:

[ 0 0 0 0 1 0 ] [ 0 0 0 0 0 1 ] [ p 0 0 0 0 1-p ] [ 0 q 0 0 1-q 0 ] [ 0 0 0 0 1 0 ] [ 0 0 0 0 0 1 ]

In this matrix, each row represents a current state, and each column represents a possible next state. The element in the i-th row and j-th column represents the probability of transitioning from state i to state j.

b) To find the probability that the game will not be finished after three rallies when team B is serving and both teams are tied 15-15, we need to calculate the probability of being in the states "tied - B serving" after three rallies. Using the given transition matrix and probabilities p = q = 0.65, we can perform matrix multiplication to obtain the state probabilities after three transitions.

Starting with an initial state vector [0 0 0 1 0 0], representing being in the state "tied - B serving," we multiply it by the transition matrix three times to find the state probabilities after three rallies. The probability of the game not being finished is the sum of the probabilities in the states "tied - B serving," "A ahead by 1 point - A serving," and "B ahead by 1 point - B serving."

Performing the calculations, the probability that the game will not be finished after three rallies is approximately 0.1721 or 17.21%.

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The transition matrix for the Markov chain representing the end of a volleyball game, considering rally point scoring, can be derived based on the six states described: 1) tied - A serving, 2) tied - B serving, 3) A ahead by 1 point - A serving, 4) B ahead by 1 point - B serving, 5) A wins the game, and 6) B wins the game.

.

(a) To construct the transition matrix for the Markov chain, we consider the possible transitions between the six states. The matrix will have dimensions 6x6, with each element representing the probability of transitioning from one state to another. For example, the probability of transitioning from state 1 (tied - A serving) to state 2 (tied - B serving) can be calculated based on the probabilities p and q mentioned in the problem statement. By considering all possible transitions, the complete transition matrix can be obtained.

(b) In this scenario, we start with state 2 (tied - B serving) and need to find the probability that the game will not be finished after three rallies. To calculate this probability, we can use the transition matrix obtained in part (a) and perform matrix multiplication. By multiplying the initial state vector (corresponding to state 2) with the transition matrix three times, we can find the probabilities of ending up in each state after three rallies. The probability of the game not being finished after three rallies would be the sum of the probabilities in states 1 and 2, which represent tied scores.

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According to the given statement, If the principal was invested at 2.45% compounded weekly for 78 months, then The principal is 9521.

When you first take out a home loan, you borrow a certain amount of money, which is known as the principal. Simply deduct your deposit for a house from the final selling price of your home to determine your mortgage principal.The principal amount means the amount you owe at any point in time.

The formula is =

11139.58 = x (1 + 0.0245) ^6.5

11139.58 = x (1.0245) ^ 6.5

11139.58 = 1.17x

x = 11139.58/ 1.17

x = 9521 (approx)

Hence, the principal is 9521.

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Answer:

467y6y

66 43

T68999

56 9

Step-by-step explanation:

Gftghhcryihfghobfascho

Answer:

D

Step-by-step explanation:

x = 5y²

x = 3y²

Here x is a function of y and so the parabola is open either to right or left.

The coefficient of y² is positive. So the parabola is open to right.

Both parabolas are open to right and  x = 5y² is wider than x = 3y².

The absolute value is:

Work/explanation:

First, we will evaluate 2-7.

It evaluates to -5.

Now, let's find the absolute value of -5 by using these rules:

\(\sf{\mid a\mid=a}\)

\(\sf{\mid-a \mid=a}\)

Similarly, the absolute value of -5 is:

\(\sf{\mid-5\mid=5}\)

We need to solve the next system of equations by using elimination:

1) x + 4y = 10

2) x -+7y = 16

Subtract both equations:

x + 4y = 10

-

( x - 7y = 16)

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

x-x + (4y-7y) = 10-16

0 -3y = -6

Solve for y

-3y = -6

Divide both sides by -3

-3y/ -3 = -6/-3

Then:

y = 2

Now, replace this y-value on the first equation:

1) x + 4y = 10

x + 4(2) = 10

x + 8 = 10

Solve the equation for x:

Subtract both sides by 8

x + 8 -8 = 10 -8

x = 2

Therefore, x =2 and y =2

Answer:

Step-by-step explanation:

Answer:

92.8

Step-by-step explanation:

Answer:

He can walk 0.25 blocks in 1 minute

Step-by-step explanation:

If Zack can walk 7.5 blocks in 30 minutes and we are looking for how many blocks he can walk in 1 minute, we will divide 7.5 by 30 as that will be the number of blocks per minute.

7.5/30 = 0.25