Help please
What are the coordinates of the hole in the graph of the function?

f(x)=x2−3x−10/x−5
Enter your answer in the boxes.

Using the frequency distribution, a) The total number of observations is 35. b) The width of each class is 9. c) The midpoint of the second class is 20.5. d) The modal classes are class 36-45 and class 26-35. e) The class limits of the next class would be 66-75.

a) To determine the total number of observations, we need to sum up the frequencies of all the classes. In this case, the total number of observations is:

4 + 8 + 8 + 9 + 3 + 3 = 35

Therefore, there are a total of 35 observations.

b) The width of each class can be calculated by taking the difference between the upper and lower class limits. For example, the width of the first class (6-15) is 15-6 = 9.

Similarly, the width of the other classes can be calculated as follows:

Class 6-15    : width = 15-6   = 9

Class 16-25  : width = 25-16 = 9

Class 26-35 : width = 35-26 = 9

Class 36-45 : width = 45-36 = 9

Class 46-55 : width = 55-46 = 9

Class 56-65 : width = 65-56 = 9

Therefore, the width of each class is 9.

c) The midpoint of a class can be calculated by taking the average of the upper and lower class limits. For example, the midpoint of the second class (16-25) can be calculated as:

Midpoint = (16+25)/2 = 20.5

Therefore, the midpoint of the second class is 20.5.

d) The modal class is the class with the highest frequency. In this case, we can see that two classes have the same highest frequency of 9: class 36-45 and class 26-35. Therefore, both of these classes are modal classes.

e) To determine the class limits of the next class if an additional class were to be added, we need to consider the current width of the classes, which is 9.

Therefore, if we want to add a class after the last class (56-65), the lower limit of the next class would be 66, and the upper limit would be 75. Therefore, the class limits of the next class would be 66-75.

In conclusion, frequency distribution is a useful tool to organize and summarize data by grouping them into classes.

It provides information on the total number of observations, width of each class, midpoint of a class, modal class, and can even help in determining the class limits of an additional class.

Understanding frequency distributions can help in making decisions, analyzing trends, and drawing conclusions in various fields such as business, economics, psychology, and more.

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The volume of the pool when it is half filled is 75.36 ft³.

Given is a cylindrical tube pool, with height of 3 ft and the diameter of 8 ft,

We need to find the volume of the pool when half filled,

The volume of a cylinder = π × radius² × height

= 3.14 × 4 × 4 × 3

= 3.14 × 16 × 3

= 150.72

When it is half filled = 150.72/2

= 75.36

Hence the volume of the pool when it is half filled is 75.36 ft³.

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Answer:

\(5x + 12 = 2x + 21 \\ 5x - 2x = 21 - 12 \\ 3x = 9 \\ x = \frac{9}{3} \\ x = 3\)

Step-by-step explanation:

please mark me brainliest

Answer:

\(5x + 12 = 2x + 21 \\ 5x - 2x = 21 - 12 \\ 3x = 9 \\ x = \frac{9}{3}\\ \boxed{x = 3}\)

Answer:

I think the answer is 4,800

Answer:

1200 ft for each side

Step-by-step explanation:

12* 100= 1200

Answer:

it is decay

Step-by-step explanation:

i did the  khan mopnkey

Answer:

The answer is 7.5 gallons per hour.

Step-by-step explanation:

16 fluid ounces multiplied by 60 minutes equals 960 fluid ounces

16 * 60 = 960

960 fluid ounces divided by 128 fluid ounces (which is 1 gallon) equals 7.5 gallons.

960 / 128 + 7.5

So the answer is 7.5 gallons per hour.

Hope this helps! :)

Kathy will have 23 more euros than pounds after withdrawing half of her money in each currency using algebra.

First, let's calculate how much money Kathy will withdraw in pounds and euros. She wants to withdraw half of her $300$ US dollars in each currency, so that would be $150$ US dollars for each.

To find the amount in pounds, we can divide $150$ US dollars by the exchange rate of $1.64$ USD per pound:

Amount in pounds = $\frac{150}{1.64} \approx 91.46$ pounds.

To find the amount in euros, we can divide $150$ US dollars by the exchange rate of $1.32$ USD per euro:

Amount in euros = $\frac{150}{1.32} \approx 113.64$ euros.

Rounding both amounts to the nearest whole number, Kathy will have approximately $91$ pounds and $114$ euros.

To determine how many more euros than pounds she will have, we subtract the amount in pounds from the amount in euros:

$114$ euros - $91$ pounds = $23$ more euros than pounds.

Therefore, Kathy will have 23 more euros than pounds after withdrawing half of her money in each currency.

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Answer:

225 sq. Ft

Step-by-step explanation:

Key words in the question;

Dilated - This means increased pr expanded

Scale factor of 3 - This basically means multiplied by 3

Old square = 75 sq. Ft

This means;

New are = Old area * 3

New area = 75 * 3 = 225 sq. Ft

The width of a confidence interval decreases as the sample size increases and increases as the confidence level increases.

So, we know that smaller samples result in narrower intervals.

Therefore, a confidence interval narrows as the sample size grows and widens as the level of confidence rises.

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The heights of the bars of a histogram corresponding to frequency values.

This is further explained below.

Generally, The number of instances of a recurring event that takes place in a certain amount of time is referred to as its frequency.

When compared to spatial frequency, it is sometimes referred to as temporal frequency, and when compared to angular frequency, it is sometimes referred to as ordinary frequency.

Both of these names stress the difference between the two types of frequency.

In conclusion, The heights of the individual bars in a histogram correspond to the frequency values being shown.

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The measures of the angles are: 64°  and 26°.

Recall: Two angles are complement of each other if they add up to the sum of 90° .

Thus,

Let \(x\) represent the first angle

The second angle = \((x-38)^{o}\)

Therefore:

\(x + (x - 38) = 90\)

Solve for x

\(x + x - 38 = 90\\2x - 38 = 90\\2x - 38 + 38 = 90 + 38\\2x = 128\\x = 64\)

The first angle, x, is 64°

The second angle = \(x - 38\)

Plug in the value of x

\(= 64 - 38\\= 26\)

Therefore, the measures of the two angles are 64°  and 26°

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Answer:

yes

Step-by-step explanation:

Answer:

$1225

Step-by-step explanation:

You have to multiple 24,500 by .05

Answer:

The customer saves $1,225.

Step-by-step explanation:

Find 5% of $24,500.  This is done by writing the decimal fraction 0.05 and multiplying $24,500:  

0.05($24,500) = $1,225

The customer saves $1,225.

Answer: Dude its B

Step-by-step explanation: Dont even need to do the math lol

Answer:

-1

Step-by-step explanation:

2 – (9 ÷ 3)

divide 9 and 3

2 - 3

subtract 2 from 3 and you get

-1

Answer:

-1

Step-by-step explanation:

Its just the answer.

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

What is derivative?

The derivative of a function in calculus measures the function's sensitivity to changes in its input variable. Specifically, at a particular point, it represents the function's rate of change with respect to its input variable at that moment.

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

This limit represents the instantaneous rate of change or slope of the function at the point x = a. The difference quotient is the change in the function value divided by the change in the input variable (or the distance between two points on the graph of the function).

The derivative is a fundamental concept in calculus, and it has many applications in various fields of science, engineering, and economics. It allows us to calculate important quantities such as velocity, acceleration, and marginal cost, and it is used to optimize functions and solve many real-world problems.

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Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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Answer:

thanks

Step-by-step explanation:

Answer:

thanks bro

Step-by-step explanation:

Answer:

\(y=-1 \frac{2}{3}x+5\)  

Step-by-step explanation:

y=mx+b is slope-intercept form

m= slope

b= y-intercept (where the line on the graph touches the y=axis aka the line that goes vertically or up and down).

The photo you have attached is very blurry but i will do my best to read the numbers on the graph.

the y-intercept looks to be at 5

so we plug that in

y=mx+5

now let's get the slope.

pick two points you can easily see,

slope is change in y over the change in x --- which is simplified below

rise over run

y2-y1 divided by x2-x1

we can see the point (0,5) and the point (3,0)

(3,0) is going to be the x2 and y2 and the other point is the x and y 1s

0-5= -5

3-0= 3

-5/3

let's simplify that

we know three goes into five once, so that gives us one whole but it's still negative because our slope is negative.

-1 2/3

that is our slope

let's plug it in:

\(y=-1 \frac{2}{3}x+5\)

that is our answer!

The percent error of Diane's estimated area measurement is 9%.

To find the percent error, we first calculate the actual area of the rectangular field:

Next, we calculate the estimated area based on Diane's measurements:

The absolute error is the difference between the actual and estimated areas:

The percent error is the absolute error divided by the actual area, multiplied by 100%:

Percent error = (Absolute error / Actual area) × 100% = (276 / 2,976) × 100% = 0.092 × 100% = 9%

Therefore, the percent error of Diane's estimated area measurement is 9% to the nearest whole percent.

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The probability of drawing a red ball on the first draw is 3/5. Since the ball is not replaced, there are now 4 balls left in the bag, with 2 blue balls. Thus, the probability of drawing a blue ball on the second draw is 2/4 or 1/2. Therefore, the probability of drawing a red ball on the first draw and a blue ball on the second draw is (3/5) * (1/2) = 3/10.

To calculate the probability of drawing a red ball on the first draw and a blue ball on the second draw, we use the multiplication rule of probability. According to this rule, the probability of two events A and B occurring is the product of the probabilities of each individual event.

Here, event A is drawing a red ball on the first draw, which has a probability of 3/5 since there are 3 red balls out of 5 total balls in the bag. Since the ball is not replaced after the first draw, event B is drawing a blue ball on the second draw from the remaining 4 balls. There are 2 blue balls out of 4 total balls left in the bag, so the probability of drawing a blue ball on the second draw given that a red ball was drawn on the first draw is 2/4 or 1/2.

Thus, the probability of drawing a red ball on the first draw and a blue ball on the second draw is (3/5) * (1/2) = 3/10. Therefore, the probability of drawing a red ball on the first draw and a blue ball on the second draw is 3/10.

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Answer:

x = 14 and y = 6

Step-by-step explanation:

To find the solution to this problem, we plug in the values of x and y from each answer choice and simplify.

1.

2.

3.

4.

Therefore, the correct answer is x = 14 and y = 6.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

The rate equation for a chemical reaction is  the relationship between the rate of the reaction and the concentrations of the reactants. To write the rate equation for the given reaction: 2 NO(g) + O2(g) → 2 NO2(g)

We need to determine the order of the reaction with respect to each reactant. This is typically done experimentally by measuring the initial rate of the reaction under different reactant concentrations. Let's assume that the rate of the reaction is proportional to the concentration of NO raised to the power of x and the concentration of O2 raised to the power of y: Rate = k [NO]^x [O2]^y. The values of x and y can only be determined through experimental analysis. Additionally, k represents the rate constant, which depends on the temperature and presence of a catalyst.

Without further experimental data, the exact rate equation cannot be determined, and we cannot assign specific values to x, y, or k.

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Answer:4:19 P.M.

Step-by-step explanation:

38 minutes after 3:41 is 4:19.

When rotating the point D (4, −2) 180° around the origin, the coordinates of the resulting point, D' is (-4, 2).

Rotation of a point that involves 180 degree rotation about a another point is similar to a reflection over the "another point"

Hence we use the method of determining the coordinates of reflection of images to calculate the image of the rotation for this particular situation.

Calculation of rotation coordinates is done as follows

say preimage X(a, b) = image X' (-a, -b)

Hence point D (4, -2) = point D' (-4, 2)

changing of the signs of both coordinates when is about the origin.

The coordinate that will change sign will vary depending on the points or coordinate that is reflected over

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The length of CE is 7cm

To determine the length, we need to consider the properties of a rectangle, we have;

From the information given, we have that;

AB = 7cm

AD = 17cm

Then, line CE = line AB

But line AB = 7cm

CE = 7cm

Hence, the length is 7cm

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The ratio of the final surface charge density (ηf) to the initial surface charge density (ηi) is given by 3.68 * \(Q_i / (A_i \times A_i).\)

To understand the concept and solve this problem, we need to consider the relationship between surface charge density, area, and charge. Surface charge density (σ) is defined as the charge (Q) per unit area (A). Mathematically, we can express this relationship as σ = Q/A.

Let's assume the initial area of the irregular shape is \(A_i\), and the final area after each dimension is reduced is \(A_f\). Since each dimension (x and y) is reduced by a factor of 3.68, we can write the relationship between the initial and final areas as:

\(A_f = (1/3.68) \times A_i\)

Now, let's consider the relationship between charge and area. Since the charge remains constant for a given area, we can express it as \(Q_i = Q_f\), where \(Q_i\) is the initial charge and \(Q_f\) is the final charge.

Since the charge remains constant, the ratio of the surface charge densities can be expressed as:

ηf/ηi = \(\sigma _f/\sigma _i = Q_f/A_f / Q_i/A_i\)

Substituting the expressions for area into the equation, we have:

ηf/ηi = \(Q_f/A_f / Q_i/A_i = Q_f / (A_f * Q_i) * (A_i / Q_i)\)

Canceling out the \(Q_i\) terms, we get:

ηf/ηi = \(Q_f / (A_f * Q_i) * (A_i / Q_i) = Q_f / (A_f * A_i)\)

Since \(Q_i = Q_f\), we can simplify further:

ηf/ηi = \(Q_f / (A_f * A_i) = Q_i / (A_f * A_i)\)

Now, substituting the expressions for area into the equation, we have:

ηf/ηi = \(Q_i / (A_f * A_i) = Q_i / ((1/3.68) * A_i * A_i)\)

Simplifying, we find:

ηf/ηi = 3.68 x \(Q_i / (A_i \times A_i).\)

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Complete Question:

The irregularly shaped area of charge in the figure has surface charge density ηi. Each dimension (x and y) of the area is reduced by a factor of 3.68.

What is the ratio ηf/ηi where ηf is the final surface charge density?

Answer:

65 cm squared

Step-by-step explanation: