what is the answer for this?​

The limit of the given function as x approaches 8 can be found by applying L'Hôpital's rule. By differentiating the numerator and denominator and evaluating the limit again, we can determine the limit.

To find the limit of the function lim(x→8) (\(x^2\) - 2x - 48)/(x - 8), we can apply L'Hôpital's rule. By differentiating the numerator and denominator, we obtain lim(x→8) (2x - 2)/(1). Evaluating this expression at x = 8 gives us (2*8 - 2)/(1) = 14/1 = 14. Therefore, the limit of the given function as x approaches 8 is 14.

In this case, applying L'Hôpital's rule simplifies the expression and allows us to evaluate the limit more easily. L'Hôpital's rule is often used when we have an indeterminate form, such as 0/0 or ∞/∞, where direct substitution does not give a definitive answer. By taking derivatives and repeatedly applying the rule, we can often find the limit of the function.

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A better method to determine the more popular sport is by conducting a comprehensive, unbiased survey with a random sample

a. Concluding that baseball is more popular than soccer based on a poll at a championship event is not valid due to potential sample bias, self-selection bias, limited sample size, and question phrasing.

b. A better method to determine the more popular sport is by conducting a comprehensive, unbiased survey with a random sample of students in a neutral setting, using clear and unbiased questions that allow for all preferences

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Answer:

None of the given points satisfy the inequality 2x - 3y < 1.

Step-by-step explanation:

To determine which points satisfy the inequality 2x - 3y < 1, we can substitute the coordinates of each point into the inequality and check if the inequality holds true.

Let's consider the given points:

Point A: (1, 0)

2(1) - 3(0) < 1

2 - 0 < 1

2 < 1 (False)

Point B: (-1, -1)

2(-1) - 3(-1) < 1

-2 + 3 < 1

1 < 1 (False)

Point C: (3, -2)

2(3) - 3(-2) < 1

6 + 6 < 1

12 < 1 (False)

None of the given points satisfy the inequality 2x - 3y < 1.

Therefore, none of the points A, B, or C satisfy the inequality.

Answer:

i believe that 0.66 is last, 1/3 and the 5/12 if not im so sorry if i was flase

The class interval size of the frequency distribution of the weights of classmates is 9.

The class interval's size is equal to the distance between the midpoints of two successive numbers.

137 - 128 = 9

146 - 137 = 9

Therefore,

The size of the class interval is 9.

The smallest and greatest data values that fall into each class in a frequency distribution are represented by the class limit.

In a class with marks between 128 - 137,

The lower limit is 128 and the upper limit is 137

In a class with weights between 137 - 146,

The lower limit is 137 and the upper limit is 146

In a class with weights between 146- 155,

The lower limit is 146 and the upper limit is 155

In a class with weights between 155 - 164,

The lower limit is 155 and the upper limit is 164

Class with weights between 164 - 173,

The lower limit is 164 and the upper limit is 173

In a class with weights between 173 - 182,

The lower limit is 173 and the upper limit is 182

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Answer:

So what it gives you Y you put that into the equation so since in your case Y=x-1 you put that into the equation and then find X

y=3 x=4

Step-by-step explanation:

Answer:

Number 3 does not have a solution

Step-by-step explanation:

Answer:

a = 20°

b = 160°

c = 125°

u = 110°

v = 70°

w = 110°

x = 70°

y = 110°

z = 110°

Step-by-step explanation:

Theorems

Using the Vertical Angles Theorem:

⇒ a = 20°

Using the Angles on a straight line Theorem:

⇒ 20° + b = 180°

⇒ b = 180° - 20°

⇒ b = 160°

Using the Vertical Angles Theorem:

⇒ c + 35° = b

⇒ c + 35° = 160°

⇒ c = 160° - 35°

⇒ c = 125°

Using the Vertical Angles Theorem:

⇒ u = 110°

⇒ v = 70°

Using the Same-side Exterior Angles Theorem:

⇒ v + w = 180°

⇒ 70° + w = 180°

⇒ w = 180° - 70°

⇒ w = 110°

Using the Corresponding Angles Postulate:

⇒ y = 100°

Using the Vertical Angles Theorem:

⇒ y = z = 110°

Using the Angles on a straight line Theorem:

⇒ x + z = 180°

⇒ x + 110° = 180°

⇒ x = 180° - 110°

⇒ x = 70°

let the age of the son before 6 years be x

father=5x

their sum=60

so, X+5x=60

6x=60

x=10

age of boy before 6 years =10

Answer:

72 is the correct answer

Answer:14

Step-by-step explanation

The answer is PROBABLY a whole number.

(2) 10^3 = 1000; 20^3 = 8000. So the number is between 10 and 20; and closer to 10.

(3) Of the possible answers 11, 12, 13, and 14, only one of them has units digit 4 when raised to the 3rd power.

Answer:

L=14m

Step-by-step explanation:

volume of a cube =L×L×L

V=L³

2744=L³

L=³√2744

L=14m

The probability of choosing a defective product from a factory with a 30% defect rate is equal to 0.3 or 30%.

Determining the percentage of defective goods among all the things produced is necessary to assess the likelihood that a randomly chosen item from a factory with a 30% defective rate will be defective.

We can utilize the idea of probability to calculate the percentage of defective goods if we suppose that the factory produces a huge number of items. In this instance, the ratio of the number of defective products to the total number of produced items determines the likelihood of choosing a defective item.

Therefore, We can anticipate 30 faulty items out of 100 produced by the factory. As a result, the chance of choosing a flawed item is 30/100, which can be expressed as 0.3 or 30%.

In general, The probability of choosing a defective product from a factory with a 30% defect rate is equal to 0.3 or 30%.

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Answer:

11 meters distance.

Step-by-step explanation:

The dolphin went from -6 to positive 5.      

-6+11=5

Answer:

2nd option

Step-by-step explanation:

the recursive rule is

\(a_{n}\) = \(a_{n-1}\) + d ( d is the common difference )

use the explicit rule to find a₁ and d

a₁ = 48 - 11(1) = 48 - 11 = 37

a₂ = 48 - 11(2) = 48 - 22 = 26

then

d = a₂ - a₁ = 26 - 37 = - 11

recursive rule is then

\(a_{n}\) = \(a_{n-1}\) - 11

a₁ = 37

Reason:

The face cards are Jack, Queen, and King. There are 3 face cards per suit, and 4 suits, giving 3*4 = 12 face cards and 52-12 = 40 non-face cards in a standard deck.

The 52 dropped to 51 because we are not putting the 1st card back.

Multiply out those fractions:

(12/52)*(40/51) = 0.180995 approximately.

Move the decimal point two spots to the right to convert to a percentage.

0.180995 becomes 18.0995% and rounds to 18%

In a standard deck of cards, there are 12 face cards (4 kings, 4 queens, and 4 jacks) out of a total of 52 cards. The probability of drawing a face card followed by drawing a non-face card from a standard deck of cards is 18%.

To calculate the probability, we first determine the probability of drawing a face card on the first draw, which is 12/52 or 3/13. After drawing a face card, there are 51 cards remaining in the deck, of which 40 are non-face cards. Therefore, the probability of drawing a non-face card on the second draw, given that a face card was drawn on the first draw, is 40/51.

To find the overall probability of drawing a face card followed by a non-face card, we multiply the probabilities of the individual events. So the probability is (3/13) * (40/51) = 120/663, which is approximately 0.181 or 18%. Rounded to the nearest whole number, the probability is 18%.

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a) The 90% confidence interval for the population mean is approximately (21.52, 23.48).

b) The 95% confidence interval for the population mean is approximately (21.322, 23.678).

c) The 99% confidence interval for the population mean is approximately (20.926, 24.074).

To develop confidence intervals for the population mean, we can use the formula:

Confidence Interval = sample mean ± (critical value * standard error)

where the standard error is equal to the sample standard deviation divided by the square root of the sample size.

a) For a 90% confidence interval, we need to find the critical value corresponding to a confidence level of 90%. The critical value can be obtained from the t-distribution table with (n-1) degrees of freedom. Since the sample size is 56, the degrees of freedom is 56-1 = 55.

From the t-distribution table, the critical value for a 90% confidence interval with 55 degrees of freedom is approximately 1.671.

The standard error can be calculated as:

Standard Error = sample standard deviation / sqrt(sample size)

Standard Error = 4.4 / sqrt(56)

Standard Error ≈ 0.5882

Now we can calculate the confidence interval:

Confidence Interval = 22.5 ± (1.671 * 0.5882)

Confidence Interval = 22.5 ± 0.9816

Confidence Interval ≈ (21.52, 23.48)

b) For a 95% confidence interval, the critical value for 55 degrees of freedom is approximately 2.004 (obtained from the t-distribution table).

Standard Error = 4.4 / sqrt(56) ≈ 0.5882

Confidence Interval = 22.5 ± (2.004 * 0.5882)

Confidence Interval = 22.5 ± 1.178

Confidence Interval ≈ (21.322, 23.678)

c) For a 99% confidence interval, the critical value for 55 degrees of freedom is approximately 2.678 (obtained from the t-distribution table).

Standard Error = 4.4 / sqrt(56) ≈ 0.5882

Confidence Interval = 22.5 ± (2.678 * 0.5882)

Confidence Interval = 22.5 ± 1.574

Confidence Interval ≈ (20.926, 24.074)

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(a) The number 72% is a D. statistic.

(b) The unknown true percentage of American citizens who like ''real TV'' is a C. parameter.

It is related to statistics and parameters.

(a) The number 72% is a statistic because it represents a summary measure of the sample of individuals who participated in the phone-in poll.

A statistic is a numerical value calculated from a sample of data, and it is used to make inferences about the population from which the sample was drawn.

(b) The unknown true percentage of American citizens who like ''real TV'' is a parameter.

A parameter is a numerical characteristic of a population, such as a mean, proportion, or standard deviation, and it is typically unknown and estimated from sample data.

In this case, the percentage of all American citizens who like ''real TV'' is unknown and cannot be directly observed, so it is considered a parameter.

The phone-in poll only represents a sample of individuals who called in to the newspaper and cannot be used to estimate the parameter for the entire population.

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Answer:

3^2

Step-by-step explanation:

the answer is 9, so 3^2 is the right answer

Answer:

The average height is 64 inches.

Step-by-step explanation:

58.6 + 61.3 + 64.0 + 66.7 + 69.4= 320

320/5 = 64

The table of the relative frequencies show that 70% of 8th graders want the water slides.

There is an association between grade level and field trip choice with the higher grades preferring Water slides more than roller skating.

9th graders would prefer waterslides if the trend continues.

The percentage of 8th graders who want to go to water slides is:

= 0.14 / 0.20 x 100%

= 70%

As the grades increase, less people want to go roller skating which means that should this trend continue, 9th graders would prefer water slides.

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Answer:

See below

Step-by-step explanation:

From the table:

a) roller skating is 54 percent.....slides is only 46 percent

b) 8 th graders who want water slide = .14 / ( .14 + .06) = 70 percent

c) yes   higher grade, higher want water slide

d) water slides  ( see answer c )

The price that Maura sell each scarf would be =$33. Maura sells each scarf for $33. That is option A.

To calculate the amount of money that Maura spends on each scarf the following is carried out.

The amount of money that she spends on the scarf material = $5.50

The percentage selling price of each scarf = 600% of $5.50

That is ;

= 600/100 × 5.50/1

= 3300/100

= $33.

Therefore, each price that is sold by Maura would probably cost a total of $33.

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Answer:

6.67

Step-by-step explanation:

You divide 30 by 4.5. 30/4.5= 6.67 so 6.67m/s is the correct answer.

In regression analysis, the term "a" (or "an") refers to the residual, which represents the difference between the actual value of the dependent variable (y) and the predicted value of y for a specific value of the independent variable (x).

In regression analysis, the primary goal is to create a mathematical model that can estimate the relationship between a dependent variable (y) and one or more independent variables (x). The estimated value of y, based on the given value of x, is obtained using the regression equation. However, due to inherent variability and measurement errors, the predicted value of y may not perfectly match the actual value of y. The difference between the observed y and the estimated y is known as the residual, denoted as "a" or "an." It represents the unexplained portion of the dependent variable, which is not accounted for by the regression equation.

Residual analysis is an essential part of regression analysis, as it helps assess the model's accuracy and identify any patterns or systematic deviations from the expected relationship between variables. By minimizing the sum of squared residuals, regression analysis aims to find the best-fitting line or curve that represents the relationship between the variables under consideration.

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Answer:

She would have to work 28 hours the next week to earn $448.00.

Step-by-step explanation:

Have a nice day/night :)

Also if you can may I please have brainliest

The required answer is 0. On solving, ∛125 - √25 we get 0.

Simplifying exponents is a method of simplifying the algebraic expressions involving exponents into a simpler form such that they cannot further be simplified. There are rules in algebra for simplifying exponents with different and same bases that we can use. Various arithmetic operations like addition, subtraction, multiplication, and division can be applied to simplify exponent algebraic expressions, exponents in fractions, and negative exponents using the laws of exponents.

Given that, ∛125 - √25 = ----- we have to simplify this equation. Let's proceed to solve this question.

= ∛125 - √25

Now, 125 = 5 × 5 × 5 = 5³ and 25 = 5 × 5 = 5²

So, we get

= ∛(5)³ - √(5)²

= 5 - 5

= 0

∴ ∛125 - √25 = 0

Therefore, on solving the given expression, we get 0.

Hence, ∛125 - √25 = 0 is the required answer,

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The point (x,y) is located in Quadrant IV as x > 0 and y < 0.

A two-dimensional Cartesian plane system's axes split the plane into quadrants, which are composed of four infinite areas.

The first quadrant is located in the top upper right of the graph. The values of x and y in this quadrant are both positive.

Second Quadrant: The second quadrant is located in the top bottom left of the graph. The value of x is negative while the value of y is positive in this quadrant.

Third Quadrant: The third quadrant is located at the lower bottom left of the graph. It includes the negative x and y values.

Fourth Quadrant: The fourth quadrant is located in the lower right corner and has a positive x value and a negative y value.

Given that x > 0. Hence the value of x is positive.

y < 0, hence the value of y is negative.

This condition is observed in Quadrant IV.

Hence, the point (x,y) is located in Quadrant IV as x > 0 and y < 0.

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If the function f(x) = |x-5| + 2, then the value of f(3) is 4

The function

f(x) = |x-5| + 2

The function is defined as the mathematical statement that shows the relationship between the independent variable and the dependent variable. The function consist of different variables, numbers and mathematical operators

Here the function consist of the absolute value symbol.

|-a| = a

The absolute value of the positive and the negative number will be always positive.

The function is f(x) = |x-5| + 2

Then,

f(3) = |3-5| + 2

= |-2| + 2

= 2 + 2

= 4

Therefore, the value of f(3) is 4

I have answered the question in general, as the given question is incomplete

The complete question is:

If f(x)=|x−5| + 2, find the value of f(3).

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Answer:

22.96 cm

Step-by-step explanation:

Let the point of contact of the tangent with the circle be R.

Let the centre of the circle be O.

We are told that from Point P, the length of the tangent is 24 cm.

Thus, PR = 24 cm

Now, the radius will be perpendicular to the tangent at the point of contact with the circle.

Thus, ORP will form a right angle triangle where ∠R = 90°

Since radius = 7 cm, we can use pythagoras theorem to find OP which is the distance of P from the centre.

Thus;

OP = √(24² - 7²)

OP = √527

OP = 22.96 cm