BRAINLIEST N 15 POINTS
Table to Linear Equation

The limit of the sequence with the nth term a_n = (7n + 1)/(7n) as n approaches infinity is 1. This means that as n becomes very large, the terms of the sequence get arbitrarily close to the value 1.

To find the limit of the sequence, we evaluate the behavior of the nth term as n becomes very large.

Let's calculate the first few terms of the sequence:

a_1 = (7(1) + 1)/(7(1)) = 8/7

a_2 = (7(2) + 1)/(7(2)) = 15/14

a_3 = (7(3) + 1)/(7(3)) = 22/21

We can observe that as n increases, the numerator (7n + 1) and denominator (7n) both grow proportionally. As a result, the fraction (7n + 1)/(7n) approaches 1 as n becomes larger.

To confirm this, we take the limit as n approaches infinity:

lim(n→∞) (7n + 1)/(7n) = lim(n→∞) (7 + 1/n)/(7) = 7/7 = 1.

Therefore, the limit of the sequence with the nth term a_n = (7n + 1)/(7n) as n approaches infinity is 1. This means that as n becomes very large, the terms of the sequence get arbitrarily close to the value 1.

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Answer: False

Step-by-step explanation:

Discrete means secret and that data is not discrete as it can be acess by anyone.

True. The amount of rainfall in your state last month is an example of discrete data.

The answer to the question is True. The amount of rainfall in a state last month is an example of discrete data.

Discrete data is a type of data that can only take on specific values. In this case, the amount of rainfall can be measured in specific units, such as inches or millimeters, and cannot have values between those units.

Other examples of discrete data include the number of students in a classroom, the number of cars passing through a toll booth, or the number of coins in a piggy bank.

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The  simplified expression is 360,000√(6x^3y) in simplest radical form. To multiply the expression: (6√x) * (15√(xy)) * (20√6x).

We can simplify each term individually before multiplying them together: First term: 6√x; Second term: 15√(xy); Third term: 20√6x. Let's simplify each term step by step: Simplifying the first term (6√x):  6√x can be simplified by multiplying the coefficients: 6 * √x = 6√x. Simplifying the second term (15√(xy)): We can simplify the coefficient by multiplying 15 and 20: 15 * 20 = 300. Simplifying the square root: √(xy) remains the same.

Simplifying the third term (20√6x): We already simplified the coefficient in the previous step: 20 * √6x = 20√6x. Now, we can multiply the simplified terms together: 6√x * 300√(xy) * 20√6x. Multiplying the coefficients: 6 * 300 * 20 = 360,000. Multiplying the square roots: √x * √(xy) * √6x = √(x * xy * 6x) = √(6x^3y). Combining the results: 360,000√(6x^3y). Therefore, the simplified expression is 360,000√(6x^3y) in simplest radical form.

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Answer:

C2 because 40+40+25 equals 105 not 110

When a hexagon is rotated 60° counterclockwise, it is carried onto itself.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Rotation is the rotation of a figure about a given point.

The exterior angles of a regular hexagon measures 60 degrees each, hence:

When a hexagon is rotated 60° counterclockwise, it is carried onto itself.

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Answer:

See below

Step-by-step explanation:

3 (x^2 + 3x) = 4

3 ( x + 3/2)^2   = 4 + 27/4  

The car travels 660 meters after 10 seconds of deceleration.

To solve this problem, we can use the formula: distance = initial velocity * time + (1/2) * acceleration * time^2. The initial velocity is 114 m/s, the time is 10 seconds, and the acceleration is -6 m/s^2 (negative because it represents deceleration). Plugging these values into the formula, we get:

distance = 114 * 10 + (1/2) * (-6) * 10^2

distance = 1140 - 300

distance = 840 meters

Therefore, the car travels 840 meters after 10 seconds of deceleration.

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The statistical tool for accounting for sampling error in an estimate is confidence interval.

The term sampling has to  do  with the selection of a given number of participants from the population in susch a way that reflects the population of the entire population.

Sampling is usually prone to given degree of error. The statistical tool for accounting for sampling error in an estimate is confidence interval.

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Starstruck Inc. should report approximately $8,767 as the amount of interest expense on its income statement for the year ended December 31, 2021.

To calculate the amount of interest expense that Starstruck Inc. should report on its income statement for the year ended December 31, 2021, we need to determine the interest accrued for the 14-month period from November 1, 2020, to December 31, 2021.

The formula to calculate interest expense is:

Interest Expense = Principal * Interest Rate * Time

Principal = $300,000

Interest Rate = 8% per year

Since the note is an 8-month note, we need to calculate the interest for the 14-month period.

We can use the following formula to calculate the time in years:

Time = Number of days / Days in a year

Number of days from November 1, 2020 to December 31, 2021 = 426 days

Days in a year = 365 days

Time = 426 / 365

Now we can calculate the interest expense:

Interest Expense = $300,000 * 8% * (426 / 365)

Interest Expense ≈ $8,767.12

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Answer:

-6

Step-by-step explanation:

The position is at its maximum (positive) value is given by
t = (2nπ - 0.14π) / 4.094, where n is the smallest positive integer that satisfies the equation.

To find the first time (t > 0) when the position is at its maximum (positive) value, we need to determine the values of t that satisfy the condition x = max(x), where x is given by x = (0.0553 m) cos(4.094t + 0.14π).

To find the maximum value of the cosine function, we know that the maximum value of cosθ is 1. Therefore, we need to solve the equation (0.0553 m) cos(4.094t + 0.14π) = 0.0553 m.

Simplifying the equation, we have cos(4.094t + 0.14π) = 1.

Since the cosine function has a period of 2π, we can write the equation as 4.094t + 0.14π = 2nπ, where n is an integer.

Solving for t, we have t = (2nπ - 0.14π) / 4.094.

To find the first positive value of t, we need to find the smallest positive integer value of n that satisfies the equation.

In summary, the first time (t > 0) that the position is at its maximum (positive) value is given by t = (2nπ - 0.14π) / 4.094, where n is the smallest positive integer that satisfies the equation.

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The type of sample that was taken in this example is:

stratified random sample.

A stratified random sample is a type of probability sampling technique in which the population is divided into different subgroups (strata) based on certain characteristics and a sample is taken from each of the strata.

In this example, the population is divided into ten groups based on departments and a sample of 50 randomly selected employees is taken from each group. This ensures that the sample is representative of the entire population, as it is drawn from all of the different departments.

A stratified random sample is beneficial in that it allows researchers to ensure that their sample is representative of the whole population.

By taking a sample from each of the different strata, the researcher is able to account for any differences between the strata, and make sure that the sample accurately reflects the population as a whole.

This type of sampling technique is often used when it is important to ensure that the sample is representative of the population, as is the case with the example provided.

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The risk of developing heart disease is increased by option C: 25–30% for nonsmokers who breathe secondhand smoke at home or at work.

According to the Centers for Disease Control and Prevention (CDC), Nonsmokers who breathe secondhand smoke at home or at work have a 25–30% higher chance of getting heart disease. Additionally, secondhand smoke 20–30% increases the risk of stroke. Secondhand smoking exposure can result in coronary heart disease, heart attacks, and strokes.

Only completely smoke-free environments can totally protect you and your loved ones from the dangers of secondhand smoke. Making sure your home and automobile are properly ventilated is another strategy to safeguard yourself from secondhand smoke. This can assist in lowering the amount of smoke in the air and lowering your exposure.

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Correct question:

How much do nonsmokers increase their risk of developing heart disease by exposing themselves to secondhand smoke at home or work? responses

15 to 20 percent

20 to 25 percent

25 to 30 percent

30 to 35 percent

The average total cost can be found by dividing the total cost by the quantity produced. In this case, the total cost function is given as C = 90 + 35Q + 25Q^2 + 10Q^3, and we want to find the average total cost when Q = 2.

To find the average total cost, we need to calculate the total cost when Q = 2. Plugging Q = 2 into the cost function, we get:
C = 90 + 35(2) + 25(2^2) + 10(2^3)
C = 90 + 70 + 100 + 80
C = 340

Next, we divide the total cost by the quantity produced:
Average Total Cost = Total Cost / Quantity
Average Total Cost = 340 / 2
Average Total Cost = 170

Therefore, the value of average total cost when Q = 2 is $170.

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Answer:

x = 0.37686455

Step-by-step explanation:

Answer: x≈0.37686455

Step-by-step explanation:

Answer:

\(y = \frac{2}{7} x\)

Step-by-step explanation:

The slope is

\(slope = \frac{rise}{run} = \frac{2}{7} \)

The y-intercept is 0

The equation of line between the points is y = ( 2/7 )x

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 7 , 2 )

Let the second point be Q ( 0 , 0 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 2/7 )

Now , the equation of line is y - y₁ = m ( x - x₁ )

y - 0 = ( 2/7 ) ( x - 0 )

y = ( 2/7 )x

Hence , the equation of line is y = ( 2/7 )x

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The ratio of the number of unshaded to shaded squares is 7 : 3.

Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.

It is also defined as the fraction of one quantity with respect to other.

The ratio of a and b is denoted as a : b.

Given is a grid of squares which is given below.

Total number of squares = 10

Of that,

Number of shaded squares = 3

Number of unshaded squares = 7

We have to find the ratio of unshaded to shaded squares in the grid which is 7 / 3 or 7 : 3.

Ratio of unshaded squares to shaded squares = 7 : 3

Hence 7 : 3 is the ratio of unshaded to shaded.

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Answer:

I do know that when you are reading a graph, Domain is read and analyzed from left to right while the range is read an analyzed bottom to top

Step-by-step explanation:

hope this helps :)

Answer:

-3/2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

I need to make it 20 character long.

Answer:

The other integer is less than -80

Step-by-step explanation:

The given sum of the two integers < -57

The value of one of the integers = 23

Let 'b' represent the value of the other integer, we are given;

b + 23 < -57

Therefore, we have;

b < -57 - 23 = -80

Therefore, the other integer, b < -80.

Answer:

x = 4

Solved by using multiplying 3x-4 by 2, and using the equation 16=6x-8.

c. incremental model Agile methods are iterative and incremental approaches to software development that prioritize customer satisfaction through the early and continuous delivery of working software.

The incremental model is a key aspect of agile methods, where the software is developed incrementally through a series of iterations or sprints. At the end of each iteration, user feedback is collected and incorporated into the next iteration, allowing the software to evolve and adapt to changing requirements. This approach allows for greater flexibility and responsiveness to user needs and helps ensure that the final product meets customer expectations.

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Answer:

Correct Answer is B. The first equation in B is the sum of the equations in A, while the other is obtained  by multiplying the first equation in A by 2.

Step-by-step explanation:

As given,

A : 6x + 8y = -10     .......equation (1)

     2x - 5y = 12      .......equation (2)

B : 8x + 3y = 2         .......equation (1)

  12x + 16y = - 20    .......equation (1)

Correct Answer is B. The first equation in B is the sum of the equations in A, while the other is obtained  by multiplying the first equation in A by 2.

Proof :

The first part says that ,

Sum of equation (1) of A and equation (2) of A = Equation (1) of B

Firstly , find the Sum of equation (1) of A and equation (2) of A

⇒6x + 8y + 2x - 5y = -10 + 12

⇒8x + 3y = 2

this is same as equation (1) of B

So, it satisfies the first part

The second part says that,

The equation (2) of B is obtained by multiplying the first equation in A by 2.

It means , if the equation (1) is multiplied by 2 = equation (2) of B

Firstly , if the equation (1) is multiplied by 2 , we get

2 ( 6x + 8y = -10 )

⇒ 2 ( 6x + 8y ) = 2 ( -10)

⇒ 12x + 16y = -20

this is same as equation (2) of B

So, it satisfies the second part.

After reducing all the book prices by 50%, the new median price is determined to be $7.70 (B)

To find the new median price after reducing all the book prices by 50%, we first need to calculate the reduced prices. By reducing each given price by 50%, we get $6.375, $7.40, $9.995, $4.975, $8.00, and $8.975 respectively.

Next, we arrange these reduced prices in ascending order: $4.975, $6.375, $7.40, $8.00, $8.975, and $9.995. The median is the middle value in this ordered list. Since there are six prices, the middle two values are $7.40 and $8.00.

To find the median, we take the average of these two values, which gives us ($7.40 + $8.00) / 2 = $7.70.

Therefore, the new median price, after reducing all the book prices by 50%, is $7.70 (B). This means that the median price of the books, after the reduction, is $7.70.

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Miguel drove at a speed of 60 mph in the first part of the trip and at a speed of 50 mph in the second part of the trip.

Let the speed while dropping his son to college be x mph

Therefore speed while returning is (x - 10) mph

The distance is 300 mi

Speed = Distance/Tie

or, Time = Distance/Speed

Hence the time taken during the first part of the journey = 300/x hrs

and,

Time taken for the next part of the journey

= 300/(x - 10) hrs

It is given that the total time taken was 11 hrs

Hence we get

300/x + 300/(x - 10) = 11

or, (300x - 3000 + 300x) / x(x - 10) = 11

or, (600x - 3000) / (x² - 10x) = 11

or, 600x - 3000 = 11x² - 110x

or, 11x² -710x + 3000 = 0

Applying the shreedharacharya rule gives us

x =  (710 ± √(710² -132000)/22)

x = 50/11 or x = 60

If x = 50/11 then x - 10 will be negative.

hence x = 60

Therefore Miguel drove at a speed of 60 mph in first half and 50 mph in second half.

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Answer:

For number 15.) the area of the circle is 1,017.4

Step-by-step explanation:

To find the area of a circle using the radius the equation has to be

3.14 x Radius to the power of 2

so in this case it was 18 x 18=324

Then you multiple 324 with pie which is 3.14

324x3.14=1,017.4 rounded to the tenth

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To find the radius of convergence, we can use the ratio test for power series. The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is L as n approaches infinity, then the series converges if L < 1 and diverges if L > 1. Answer :  the interval of convergence, I, is [-1, 1] in interval notation.

Let's apply the ratio test to the given series:

lim(n→∞) |(8(-1)^(n+1)(n+1)x^(n+1)) / (8(-1)^n nx^n)|

Simplifying the expression, we get:

lim(n→∞) |(n+1)x / n|

Taking the absolute value, we have:

lim(n→∞) |(n+1)x / n| = |x|

For the series to converge, we need |x| < 1. Therefore, the radius of convergence, R, is 1.

To find the interval of convergence, we consider the endpoints of the interval. When |x| = 1, the series may or may not converge depending on the specific value of x. To determine the convergence at the endpoints, we can substitute x = 1 and x = -1 into the series and check for convergence.

For x = 1, the series becomes:

Summation of 8(-1)^n n, going to infinity, n=1

This is an alternating series that satisfies the conditions for convergence by the alternating series test. Therefore, the series converges when x = 1.

For x = -1, the series becomes:

Summation of -8(-1)^n n, going to infinity, n=1

This is also an alternating series that satisfies the conditions for convergence by the alternating series test. Therefore, the series converges when x = -1.

Hence, the interval of convergence, I, is [-1, 1] in interval notation.

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The probability that the number among the 30 who received a special accommodation is 0.2939.

a)  probability that exactly 1 received a special accommodation = P(x=1)

= ³⁰C ₁ × (0.04) × (0.96) ²⁹ = 0.3673

b) probability that at least 1 received a special accommodation = P(x ≥ 1) = 1 - P(x = 0)

= 1 - [ ³⁰C₀ × (0.04)⁰ × (0.96)³⁰ = 0.7061

c) probability that at least 2 received a special accommodation

= P(x ≥ 2)

= 1 - [P(x = 0) + P(x =1)]

= 1 - [ ³⁰ C ₀ × (0.04)⁰ × (0.96)³⁰ + ³⁰ C ₁ × (0.04)¹ × (0.96)²⁹

= 0.3388

d) probability that the number among the 30 who received a special accommodation is within 2 standard deviations of the number you would expect to be accommodated ;

= P( x ≤ 1)

= P( x = 0)

= 0.2939

e) expected average time = 0.04 x 4.5 + 0.96 x 3 = 3.06 hours

Therefore, we get that, the probability that the number among the 30 who received a special accommodation is 0.2939.

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Your question was incomplete. Please refer the content below:

Suppose that 4% of the 2 million high school students who take the SAT each year receive special accommodations because of documented disabilities. Consider a random sample of 30 students who have recently taken the test. (Round your probabilities to three decimal places.)

(a) What is the probability that exactly 1 received a special accommodation?

(b) What is the probability that at least 1 received a special accommodation?

(c) What is the probability that at least 2 received a special accommodation?

(d) What is the probability that the number among the 30 who received a special accommodation is within 2 standard deviations of the number you would expect to be accommodated?

(e) Suppose that a student who does not receive a special accommodation is allowed 3 hours for the exam, whereas an accommodated student is allowed 4.5 hours. What would you expect the average time allowed the 30 selected students to be? (Round your answer to two decimal places.)

Step-by-step explanation:

radius=5yd

diameter= 2r =2(5)=10yd

area=πr²= 22/7*(5)²

78.57yd²

circumference= 2πr=2*22/7*5

31.43yd

Answer:

Answers are below.

Step-by-step explanation:

Radius: 5

Diameter (2 multiplied by the radius): 10

Area (pi multiplied by radius squared): Approximately 78.54

Circumference (2 multiplied by pi, multiplied by radius): Approximately 31.42

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