In triangle LMN, angle N = 90 degrees. LM = 10, MN = 6, & LN = 8

What is tan of angle M?.

Answer:120meters

Step-by-step explanation:

The best estimate for the value of r in the given scatter plot is -0.9.

Here, we are given a scatter plot as shown in the figure above.

To estimate the value of r in the scatter plot, we don't actually need to calculate the value of r. We can infer the value by looking at the scatter plot.

As we can see the points show a downward trend so it must be the case that the r value will be negative.

Thus, we can easily eliminate option 1 and 3 as they are positive values.

Now, we've two options: -0.9 and -1

-1 represents a perfect negative correlation, but as we can see from the graph, the points do not form a perfectly straight line. This means that r value cannot be -1.

Thus, we can say that the best estimate of the value of r in the scatter plot is -0.9.

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Answer:

80 probaly

Step-by-step explanation:

By definition, a parallelogram is a quadrilateral in which each pair of opposite sides are parallel and equal. Then, we can say that sides YX and VW are parallel and equal, since both of them are opposite sides of a parallelogram.

Then, if side YX is 8 inches long, side VW will be also 8 inches long.

The volume of the solid with base x^2 + y^2 = 1 and perpendicular cross sections that are isoceles right triangles with leg on the xy-plane is 4/3 cubic units.

To find the volume of the solid, we need to integrate the area of each cross section perpendicular to the x-axis over the interval of x that makes up the base of the solid. Since the cross sections are isoceles right triangles with leg on the xy-plane, we know that the height of each cross section is equal to the length of the leg on the xy-plane, which is given by 2√(1-x^2).

So, the area of each cross section is (1/2) * base * height, where the base is also equal to 2√(1-x^2). Therefore, the volume of the solid can be calculated as follows:

V = ∫[a,b] (1/2) * base * height dx

V = ∫[-1,1] (1/2) * 2√(1-x^2) * 2√(1-x^2) dx

V = ∫[-1,1] (1-x^2) dx

V = [x - (1/3)x^3]_[-1,1]

V = 4/3

Therefore, the volume of the solid is 4/3 cubic units.

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a)  The volume of paint left in the can is:

.878 gallons * 0.00378541 m^3/gallon = 0.003321 m^3

b)  the thickness of the layer of wet paint is 0.000242 meters or 0.242 millimeters (since there are 1000 millimeters in a meter).

(a) To convert gallons to cubic meters, we need to know the conversion factor between the two units. One U.S. gallon is equal to 0.00378541 cubic meters. Therefore, the volume of paint left in the can is:

0.878 gallons * 0.00378541 m^3/gallon = 0.003321 m^3

(b) We can use the formula for the volume of a rectangular solid to find the volume of wet paint needed to coat the wall evenly:

Volume = area * thickness

We want to solve for the thickness, so we rearrange the formula to get:

Thickness = Volume / area

The volume of wet paint needed is equal to the volume of dry paint needed since they both occupy the same space when the paint dries. Therefore, the volume of wet paint needed is:

0.003321 m^3

The area of the wall is given as:

13.7 m^2

So the thickness of the layer of wet paint is:

0.003321 m^3 / 13.7 m^2 = 0.000242 m

Therefore, the thickness of the layer of wet paint is 0.000242 meters or 0.242 millimeters (since there are 1000 millimeters in a meter).

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Answer:

See explanation

Step-by-step explanation:

Reflecting over the y axis does not change the Y value. It multiplies the x value by -1.

So (-1,11) is (1,11)

And (-3,-9) would become (3,-9)

And (2,-7) would become (-2,-7)

Therefore, there are 53,248 different super subs that can be made if there are 8 toppings, 6 condiments, and 6 types of homemade bread to choose from at Sandwich Station.

The super sub at Sandwich Station consists of 4 different toppings and 3 different condiments. The question is asking how many different super subs can be made if there are 8 toppings, 6 condiments, and 6 types of homemade bread to choose from.

To solve this problem, we can use the multiplication principle of counting. The multiplication principle states that if there are m ways to do one thing and n ways to do another thing, then there are m x n ways to do both things.

Let's use the multiplication principle to solve this problem. There are four different toppings, and we can choose any of the eight toppings for each of the four spots.

Using the multiplication principle, there are

8 x 8 x 8 x 8 = 4096

ways to choose the toppings. Similarly, there are

6 x 6 x 6 = 216

ways to choose the condiments. Lastly, there are 6 different types of homemade bread to choose from. Using the multiplication principle again, there are

4096 x 216 x 6 = 53,248,

which means there are 53,248 ways to make the super subs.

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Using the formula for gravitational force on Mars, determine the weight of the astronaut on the surface of Mars, which is approximately 358.6 N.

To calculate the weight of the astronaut on the surface of Mars, we can use the formula for gravitational force:

\(F = (G * m_1 * m_2) / r^2\)

Where:

F is the gravitational force,

G is the gravitational constant (approximately \(6.67430 * 10^{-11} N m^2/kg^2\)),

\(m_1\) is the mass of the astronaut,

\(m_2\) is the mass of Mars,

and r is the radius of Mars.

Mass of Mars (\(m_2\)) = \(6.39 * 10^{23} kg\)

Radius of Mars (r) = 3376.2 km = 3,376,200 meters

Weight on Earth = 950 N

950 N = (G * mass of the astronaut * mass of Earth) / radius of Earth^2

mass of the astronaut = (950 N * radius of Mars^2 * mass of Mars) / (radius of Earth^2 * mass of Earth)

\(F = (G * m_1 * m_2) / r^2\)

First, let's convert the radius of Mars from kilometers to meters:

r = 3,376,200 meters

Next, we can rearrange the formula to solve for m1:

\(m_1 = (F * r^2) / (G * m_{2})\)

\(m_1 = (950 N * (3,376,200 m)^2) / ((6.67430 * 10^{-11} N m^2/kg^2) * (6.39 * 10^{23 }kg))\\m_1 = 78.656 kg\)

Weight on Mars =\((G * m_1 * m_2) / r^2\)

Weight on Mars = \((6.67430 * 10^{-11}N m^2/kg^2) * 78.656 kg * \frac{ (6.39 * 10^{23} kg)}{(3,376,200 m)^2}\)

Weight on Mars ≈ 358.6 N

Therefore, the weight of the astronaut on the surface of Mars would be approximately 358.6 N.

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Required probability of selecting a student is 9.5% .

A Venn diagram to determine the probability of selecting a student who meets certain criteria.

To use a Venn diagram for probability, you need to first identify the total number of students in the group or population. Then, you need to identify the number of students who meet the specific criteria you are interested in, such as speaking multiple languages, speaking English, Korean, or Chinese, or any combination of these languages.

Once you have this information, you can use the Venn diagram to visually represent the overlap between the different groups of students. This can help you determine the probability of selecting a student who meets a specific set of criteria. To calculate probability, you divide the number of students who meet the criteria by the total number of students in the group or population.

For example, if there are 105 students in the international club, and 40 students speak English, 30 students speak Korean, and 25 students speak Chinese, you can use a Venn diagram to determine the probability of selecting a student who speaks English and Korean. If there are 10 students who speak both English and Korean, the probability of selecting a student who meets this criteria would be 10/105 = 0.095 or approximately 9.5%

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Answer:

Integer, Natural, Whole

Step-by-step explanation:

your to nice (:

Answer:

45

Step-by-step explanation:

To find area, it's length * width. the length is 5 and the width is 9, so you would do 5*9=45

The correct option is option( A).

Using the property of Obtuse Triangle, the triangle with sides { 8, 10, 14 } is an Obtuse Triangle.

Obtuse Triangle:

An obtuse triangle is a triangle with one interior angle greater than 90 degrees. In geometry, a triangle is represented as a closed 2D figure with three sides of equal or unequal length and three angles of equal or unequal measurements.

Obtuse triangle property:

we have given the sides of triangle so, we use the fourth property for check the triangle formed by given sides are obtuse triangle or not .

8² + 10² = 164; 14² = 196 -> obtuse

9² + 12² = 225; 15² = 225 -> not obtuse

10² + 14²= 296 ; 17²= 289 --> not obtuse

12² + 15² = 369; 19²= 361 --> not obtuse

Hence, the required triangle is triangle with sides 8, 10, 14.

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Complete Question:

which set of numbers can represent the side lengths, in millimeters, of an obtuse triangle

A. 8, 10, 14

B. 9, 12, 15

C. 10, 14, 17

D. 12, 15, 19

Answer: the answer is A 8, 10, 14.

Step-by-step explanation: it show below.

Answer:yea

Step-by-step explanation:123

Answer:

YES. IT IS LINEAR

The prove of converges is shown below.

And, The limit of the sequence is,

L = 1/2 (1-√{5}-a)

Now, First, we notice that all the terms of the sequence are non-negative, since we are subtracting the square root of a non-negative number from 1.

Therefore, we can use the Monotone Convergence Theorem to show that the sequence converges if it is bounded.

To this end, we observe that for 0<a<1, we have 0 < a₀ = a < 1, and so ,

0<1-√{1-a}<1.

This implies that 0<a₁<1.

Similarly, we can show that 0<a₂<1, and so on.

In general, we have 0<a{n+1}<1 if 0<a(n)<1.

Therefore, the sequence is bounded above by 1 and bounded below by 0.

Next, we prove that the sequence is decreasing. We have:

a_{n+1} = 1 - √{1-a(n)} < 1 - √{1-0} = 0

where we used the fact that an is non-negative.

Therefore, a{n+1} < a(n) for all n, which means that the sequence is decreasing.

Since the sequence is decreasing and bounded below by 0, it must converge.

Let L be its limit. Then, we have:

L = 1 - √{1-L}.

Solving for L, we get ;

L = 1/2 (1-√{5}-a), where we used the quadratic formula.

Since 0<a<1, we have -√{5}+1}/{2} < L < 1.

Therefore, the limit of the sequence is,

L = 1/2 (1-√{5}-a)

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Answer: 1. 37.5%,

Step-by-step explanation:

1. we can solve this using a proportion, 10/13.75 = 100/x

a. using cross multiplication we get 10x = 1375

b. when you simplify you get x= 137.5, the percent it was of the whole

c. then subtract the original 137.5-100, and you get 37.5%

The rest of the problems follow a similar fashion

In the situation, if you took another sample of 157 students and asked them for measurements of thumb and height, it is unlikely that you would get the exact same F ratio.

The F ratio is a statistical value that compares the variance between groups to the variance within groups. Here's why it might be different:

1. Sampling variability: Since you are taking another sample of 157 students, there is a chance that the measurements will be slightly different from the original sample. The new sample might have students with different thumb lengths and heights, which could lead to different variances and thus a different F ratio.

2. Measurement errors: Even if the actual relationship between thumb length and height remains constant, the process of measuring these variables can introduce errors. Errors in measurement can cause discrepancies in the data, leading to a different F ratio.

3. Population diversity: If the new sample is drawn from a different population, there could be differences in the relationship between thumb length and height in that population. This would also result in a different F ratio.

To summarize, while it is possible to get a similar F ratio in a new sample, it is unlikely that the F ratio would be exactly the same due to sampling variability, measurement errors, and potential population differences.

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The function below is not provided in the question, therefore, I cannot provide a specific linearization method to fit the data to a linear regression model.

However, in general, the correct linearization method for a function to be fit to a data set using linear regression would depend on the functional form of the equation.

For example, if the function is exponential, taking the logarithm of the data may result in a linear relationship that can be fit using linear regression.

The specific linearization method to fit a function to a linear regression model would depend on the functional form of the equation. For an exponential function, taking the logarithm of the data may result in a linear relationship that can be fit using linear regression. However, since the function in question is not provided, I cannot provide a specific linearization method.

The correct linearization method for a function to be fit to a linear regression model depends on the functional form of the equation and cannot be determined without knowledge of the specific function.

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Answer:

x ≥ 0

y ≥ (1/2)x

y ≤ 4 - x

Step-by-step explanation:

Solid lines: ≤ and ≥

Dashed lines:  < and >

You need to create linear equations for the diagonal lines.

Shaded areas are ≥ if it is shaded above the line, and ≤ if shaded below the line.

Inequalities:

vertical line:   x ≥ 0

diagonal line with positive gradient:  y ≥ (1/2)x

diagonal line with negative gradient:  y ≤ 4 - x

Answer:

2 books in one month

Step-by-step explanation:

Answer:

2 books per month .

Step-by-step explanation :

6 divided by 3 = 2

So 1 book per month = 2 , 2 books per month = 4 , 3 per month = 6 ( counting by 2 )

Hope that helped :)

The equation that describes the total number of pages of the book read as a function of the number of minutes of further reading is; 2.67x minutes.

The time it will take to finish the whole 396 pages is; 113.3 minutes

We are told that the book has 396 pages. Now, the student has read 3/8 of this book.

Thus, number of pages the student has read so far = 3/8 * 396 = 148.5 pages

Now, let the time spent reading these 148.5 pages be x minutes. Thus;

Number of pages read per minute = 148.5/x pages per minute

Number of pages left to finish book = 396 - 148.5 = 247.5 pages

Thus, time to finish remaining pages = 247.5/(149.8/x ) = 1.67x

Thus, time it will take to finish the whole 396 pages = 1.67x + x = 2.67x minutes

The table showing the amount of pages that can be read for specific minutes is attached.

We see that 7 pages are read in two minutes. Thus;

x = (148.5 * 2)/7 = 42.42857 minutes

Thus, time to finish whole book = 2.67 * 42.42857 ≈ 113.3 minutes

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After doing the equitation the at rate of $15 per week.

How to do graph representation?

Graph representation is a way of visualizing data as a graph or chart. It is used to easily identify relationships between data points and to illustrate trends in the data. Graphs can be used to present data in a variety of ways, such as bar graphs, line graphs, pie charts, scatter plots and more. Graphs are especially useful when trying to compare two or more sets of data and to highlight any patterns or trends that may exist. Additionally, graphs are often used to represent numerical data in a more visually appealing way. By using graphs, it is easier to identify relationships, trends and outliers in the data. Graphs also help to make data easier to interpret and understand.

Carson owes = $110

At rate of $15 per week.

The graph representation will follows:

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Answer:

Step-by-step explanation:

well, 1% of 1999.8=19.998, so it would be + - 1,999.99

If the interest were compounding weekly instead of semi-annually, the account would have been worth more. To calculate how much more, we can use the formula:

A = P(1 + r/n)^(nt)
The difference in the final amount is: $17,135.03 - $16,270.90 = $864.13


Hi! To answer your question, let's first calculate the future value of the account for both semi-annual and weekly compounding interest.

1. For semi-annual compounding (interest compounded every 6 months):
Initial deposit: $6,500
Interest rate: 3.3% per year (0.033 per year or 0.0165 per 6 months)
Number of compounding periods: 30 years * 2 = 60

Future Value = Initial deposit * (1 + Interest rate per period)^(Number of periods)
Future Value = $6,500 * (1 + 0.0165)^60 ≈ $16,883.62

2. For weekly compounding (interest compounded every week):
Initial deposit: $6,500
Interest rate: 3.3% per year (0.033 per year or 0.00063462 per week)
Number of compounding periods: 30 years * 52 weeks = 1560

Future Value = Initial deposit * (1 + Interest rate per period)^(Number of periods)
Future Value = $6,500 * (1 + 0.00063462)^1560 ≈ $17,110.79

Now, let's find out how much more the account would be worth if the interest were compounded weekly instead of semi-annually:

Difference = Future Value (weekly compounding) - Future Value (semi-annual compounding)
Difference = $17,110.79 - $16,883.62 ≈ $227.17

If the interest were compounding weekly, the account would be worth approximately $227.17 more.

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Where the above is given, the required angle m∠BAC = 45°.

In triangle ABC. AC represents the foreman’s line of sight to the top of the landfill. Landfill height is BC

The triangle is geometric shape which includes 3 sides and sum of interior angle should not grater than 180°

According to conditions angle b = 90°

The sum of angles of a triangle= 180°

That is a + b + c = 180

Therefore, c = a

       a = (180 - b)/2

          = (180 - 90) / 2

          = 90 / 2

          = 45°

Hence, the required angle m∠BAC = 45°

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Question 1 Create Triangle ABC by drawing AC. Segment AC represents the foreman’s line of sight to the top of the landfill. What is Angle m BAC?

Answer: Nice

Step-by-step explanation:

Step-by-step explanation:

The circumference of a circle can be expressed as C = 2πr, where C is the circumference, π is the value of pi, and r is the radius of the circle. We are given that the circumference of the circle is 35 and 13/21 inches.

So, we can set up an equation as follows:

35 and 13/21 = 2 x 22/7 x r

Simplifying the equation, we get:

35 and 13/21 = 44/7 x r

Multiplying both sides by 7/44, we get:

(35 and 13/21) x (7/44) = r

Simplifying the left side, we get:

(35 x 7 + 13)/21 x (7/44) = r

(245 + 13)/21 x (7/44) = r

258/924 = r

r = 0.2795 (approx)

The diameter of the circle is twice the radius, so:

d = 2 x r

d = 2 x 0.2795

d = 0.559 inches (approx)

Answer:

In Euclidean geometry, two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.

Step-by-step explanation:

Answer:

x= -5

Step-by-step explanation:

Isolate the variable by dividing the factors that don't contain the variable.

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