please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!

The mass of the pencil is approximately 5.49 ounces.

To find the mass of the pencil, we can integrate the density function over the length of the pencil.

The density function is given by rho(x) = 5/x oz/in.

We want to find the mass of the pencil, so we integrate the density function from x = 2 (the starting point of the pencil) to x = 6 (the endpoint of the pencil).

The integral is ∫[2, 6] (5/x) dx.

Evaluating the integral, we have:

∫[2, 6] (5/x) dx = 5 ln(x) ∣[2, 6] = 5 ln(6) - 5 ln(2) = 5 (ln(6) - ln(2)).

Using the property of logarithms, we can simplify this to:

5 ln(6/2) = 5 ln(3) ≈ 5 (1.098) ≈ 5.49 oz.

The mass of the pencil is approximately 5.49 ounces.

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Answer:

the answer is approximately 8.2 units.

Answer:

No solution

Step-by-step explanation:

Let's solve this equation to see if there are any solutions.

First we need to simplify it;

10 + 6x = 15 + 9x - 3x

Combine like terms:

6x - 9x + 3x = 15 - 10

0x = 5

0 = 5

Zero cannot be equal to 5, so there is no solution

Answer:

35

Step-by-step explanation:

Since you know that a triangle must have a total of 180 degrees and a right triangle is 90 degrees then you just subtract 90 from 180 and you get 90. Then subtract 55 from 90 and you get 35 which is the only possible answer.

Answer:

5

Step-by-step explanation: since i helped can i have brainlist please :D

The OLS (Ordinary Least Squares) estimator is derived by: c. minimizing the sum of squared residuals. In a regression analysis, the OLS estimator aims to find the best-fitting line by minimizing the sum of the squared differences (or residuals) between the actual data points (yi) and the predicted values on the regression line.

The residuals represent the error between the actual and predicted values. Minimizing the sum of squared residuals ensures that the regression line fits the data as closely as possible, ultimately providing a reliable model for predicting future values based on the relationship between the independent variable (xi) and the dependent variable (yi).It is important to note that the standard error of the regression does not necessarily equal the standard error of the slope estimator, but they are related measures.

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Answer:

1171

Step-by-step explanation:

Answer:

32 gallons

Step-by-step explanation:

A standard showerhead in Marty's house dispenses 7 gallons of water per minute. If he showers for 8 minutes, he uses:

1 minute = 7 gallons

8 minutes = x

x = 7 × 8 minutes = 56 gallons of water

We are told that:

Marty changed this showerhead to an energy-saving one. The equation shows the amount of water dispensed, y, as a function of the number of minutes, x, for the new showerhead. y = 3x

The equation for the energy saving shower:

y = 3x

Where x is the number of minutes spent in the shower

For 8 minutes

y = 3 × 8

y = 24 gallons

The gallons of water Marty saved each day with the change in showerheads if he uses the shower for 8 minutes each day is calculated as:

56 gallons - 24 gallons

= 32 gallons

Answer:

p=2

Step-by-step explanation:

8n + 16 = 8n + 8p

subtract 8n

16=8p

divide both sides by 8

p = 2

To find the value of p that sets the expression equal to each other:

  ⇒ must set both equations equal to each other, like such:

            \(8(n+2)=(n+p)8\\8n+16=8n+8p\\8n+16-8n=8p\\16=8p\\8p=16\\p=2\)

Thus the value of p so that the expression 8(n + 2) is equivalent to (n + p)8​ is 2

Answer: 2

Hope that helps!

Answer:

greater part = Rs.81

smaller part = Rs.59

Step-by-step explanation:

Solution:

Let the greater part be x and smaller part be (140 - x)

Acccording to question,

or, 2x+15 = 3(140 - x)

or, 2x+15 = 420-3x

or, 2x+3x = 420-15

or, 5x = 405

or, x = 405÷5

x = 81

Therefore, the greater part = x = 81

the smaller part = (140-x) =(140-81) = 59

Answer:

72 lawns

Step-by-step explanation:

if the students could mow 12 lawns in 3 hours, then we can turn it into a ratio of 12:3, which we can simplify to 4:1.

to find how many lawns they can mow in 18 hours, we can multiply the numbers in our ratio by 18.

4x18=72

1x18=18

our new ratio is 72:18

we can translate this to:

they can mow 72 lawns in 18 hours

Answer:  Angle 3 and Angle 9

Step-by-step explanation:

Answer:

3 9

Step-by-step explanation:

Answer:

3n²+3n-60

Step-by-step explanation:

Area of rectangle= L*W

A=3(n-1)(n+2)

A=3(n²+n-2)

A=3n²+3n-6

54=3n²+3n-6

3n²+3n-6-54=0

3n²+3n-60=0

Answer:

3, 3, - 60

Step-by-step explanation:

Area = lw

Therefore 54=(3n-3)(n+2)

Expand and we get:

3n^2+6n-3n - 6=54

Combine terms and move 54 to left side:

3n^2+3n-60

Hope this helped!

Answer:

2 5/14

Step-by-step explanation:

Answer:

x = 57

Step-by-step explanation:

1. Look at the expression (x + 22). It's measurement the upper side of the lines. We know that if we add up all sides, we will get a full circle, or a value of 360. We know that if I extend the blue line to the left on the upper parallel line, it would equal 180 degrees.

We can express this as x + 22 = 180. Now lets look at the bottom equation, notice that the 2x - 13 is the missing side of x + 22. So we know:

x + 22 + 2x - 13 = 180

3x + 22 - 13 = 180

3x + 9 = 180

3x = 171

x = 57

2. We can check this by plugging it into our formula. x + 22 and 2x - 13. so 57 + 22 = 79 and 2(57) - 13 = 101. Add them together: 79 + 101 = 180.

3. We know this is true because both angles combined will be to form 180 degrees. For a better understanding, view the image I sent you. 1 = 3, and 4 = 2. Opposite angles are equal. In your equation, we have 3 and 8. we KNOW that 8 = 2. And we also know that adding up 2 + 3 MUST equal 180 degrees.

I hope this helps!

The list with the smallest standard deviation is the following: 16, 12, 13, 16, 14, 15, 16, 14, 14, 13.

What is standard deviation?

Standard deviation is a statistical measure of the variability of a set of data values. It's a step-by-step process for determining how far each value is from the mean. It is important since it may reveal the amount of variability in a set of data. The formula for calculating standard deviation is as follows:

σ=√∑(x−μ)²nσ=√∑(x−μ)²n

In this equation, x represents the values in the data set, μ represents the mean of the data set, and n represents the number of values in the data set. Let us now compute the standard deviation of each of the given data sets, starting with the first one. We can utilize the formula given above to do so:

6, 19, 9, 18, 19, 9, 17, 18, 17, 15                        μ = 15.8,σ = 4.83 (rounded to two decimal places)

31, 30, 26, 28, 18, 28, 18, 21, 23, 32                μ = 25.5,σ = 5.93 (rounded to two decimal places)

20, 21, 20, 19, 25, 24, 19, 14, 21, 15                μ = 19.8,σ = 3.98 (rounded to two decimal places)

14, 20, 16, 14, 28, 13, 17, 21, 12, 22                μ = 17.7,σ = 4.96 (rounded to two decimal places)

16, 12, 13, 16, 14, 15, 16, 14, 14, 13                  μ = 14.3,σ = 1.96 (rounded to two decimal places)

The list with the smallest standard deviation is the following: 16, 12, 13, 16, 14, 15, 16, 14, 14, 13.

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Answer:

Option D

Step-by-step explanation:

Area of triangle = \(\frac{1}{2}\) × (Base of triangle) × (Perpendicular height of triangle)

                          = \(\frac{1}{2}\) × [(20 - 10) inches] × [(15 - 5) inches]
                          = \(\frac{1}{2}\) × (10 inches) × (10 inches)

                         = 50 square inches

∴Area of each triangular piece = 50 square inches

∴Option D

The graphic device that is best suited for comparing how an interval-ratio variable is distributed across two or more groups or time periods is the boxplot.

It is also called a box-and-whisker plot, this plot displays the distribution of a quantitative variable within one or multiple groups through their quartiles, outliers, and median. A boxplot portrays the variability of the dataset with the help of five important summary statistics: minimum, maximum, median, first quartile, and third quartile. The interquartile range is the distance between the first and third quartiles. The box represents the interquartile range, while the whiskers extend from the edges of the box to the maximum and minimum values that are not outliers.

The outliers are plotted separately from the box, a boxplot is best suited for identifying the median, variability, skewness, and the presence of outliers. It is an effective way to compare the distribution of one or multiple variables across different groups or time periods. In conclusion, boxplots are an ideal graphic device for representing the distribution of interval-ratio variables across multiple groups or time periods, making it easier to analyze the data and gain valuable insights.

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Answer:

Yes, it should work.

Step-by-step explanation:

DC=AB  (because it is a rectangle and they are parallel)

DA=CB (because it is a rectangle and they are parallel)

DB=AC (given)

Those are all sides and gives enough information for us to know that it is congruent.

Answer:

correct answer = 2.367x107

wrong answer =  2.387x107

to find difference do big-small

or 2.387x107-2.367x107= (2.387-2.367)x107= 0.02x107=2.14

The volume of the gas approximately directly proportional to its number of moles of gas when both temperature and pressure are constant.

V∝ n at constant P and T

V = constant × (n)

Vn = constant

This can be mathematically stated as follows: As before, we can anticipate what will change to the volume of the a sample of gas as we adjust the number of moles using Avogadro's law.

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To order the given expressions from least to greatest, we need to find the values of each expression. However, since we do not have the function p(x), we cannot find the values of p′(1), p′(3), p′(6), p′(7), p′(9), and p′(10). Therefore, we cannot order the expressions from least to greatest.

It is important to note that the sign of each expression will depend on the function p(x) and its derivative p′(x). If p′(x) is positive, then the function p(x) is increasing at that point. If p′(x) is negative, then the function p(x) is decreasing at that point. Without the function p(x), we cannot determine the sign of each expression and therefore cannot order them from least to greatest.

In conclusion, without the function p(x), we cannot order the expressions p′(1), p′(3), p′(6), p′(7), p′(9), and p′(10) from least to greatest.

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These are the specified parameters:

The water rate is $1.33 per 751 gallons.

a. Determine the water bill

The water bill = 40,000 gallons × \(\displaystyle \frac{\$1.33}{751\ gallons}\)

                       = \(\displaystyle\frac{\$53,200}{751}\)

                       = $70,84

b. Determine many gallons of water can a customer use

Many gallons = $130 : \(\displaystyle \frac{\$1.33}{751\ gallons}\)

                       = $130 × \(\displaystyle \frac{751\ gallons}{\$1.33}\)

                       = \(\displaystyle \frac{97,630}{1.33}\) gallons

                       = 73,406 gallons

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Answer:

The slope is 3 and it's positive

Step-by-step explanation:

(2, 5) and (3, 8)

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

m=(8-5)/(3-2)

m=3/1

m=3

Answer: The slope is 3 or 3/1

Step-by-step explanation: Use the formula (y2-y1/x2-x1), the 2 points (2,5) and (3,8). Where 2 is x1, 5 is y1, 3 is x2, 8 is y2. Then do the math, 8-5/3-2, which simplifies to 3/1.

Answer: 16z

Step-by-step explanation: So ,  Let's simplify step-by-step.

4a+12a

Combine Like Terms:

=4a+12a

=(4a+12a)

=16a

Answer:

=16a

Hope this helps :)) _Have a great day!

i believe a(4+12) is an equivalent expression for 4a+12a

all I did was simplify the equation to make it shorter. you'll still receive the same answer for both.

Answer:

Step-by-step explanation:

For the 2 large eggs, i don't see how to convert that

3 cups of flour turn into 750 ml

1 1/2 cup margarine turns into 375 ml (250/2 is 125, 250 + 125 is 375)

1/2 cup chocolate chips is 125 ml

1 tsp salt  is 5 ml (1.25*4)

Think that last one says 3/4 tsp baking powder is 3.75 ml (1.25*3)