th weight of an object on the moon is 2 2/5 kg and that on earth is 5 3/5kg . find the difference between the 2 heights

In Luther v. Borden, 1849, it is true that the Supreme Court abdicated its role in clarifying whether the people had the right to abolish their state governments. The great statesman Daniel Webster argued that people do indeed possess the right to overthrow their government.

Luther v. Borden, 1849 was a United States Supreme Court case that decided whether the court should intervene in a political question, specifically the Rhode Island Dorr Rebellion of 1841 to 1842. In this case, the court declined to do so and ruled that the authority to decide whether a rebellion against a state government exists or not, rests solely with the United States government. The Court refused to support either side in the rebellion and thus upheld the lower court's decision.

The decision is well-known for declaring that the federal government must guarantee a "republican form of government" in the states. In this context, Webster argued that people possess the right to overthrow their government as they possess the ultimate sovereignty. True.

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The ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

Given the scale factor of two similar polygons, we need to find the ratio of their perimeters and the ratios of their areas,

To find the ratio of the perimeters of two similar polygons, we can simply write the scale factor as it is because the ratio of the perimeter is equal to the ration of the corresponding lengths.

1) So, perimeter = 3:1

The ratio of areas between two similar polygons is equal to the square of the scale factor.

Since the scale factor is 3:1, the ratio of their areas is:

(Ratio of areas) = (Scale factor)² = 9/1 = 9:1

Similarly,

2) Perimeter = 7:4

Area = 49/16

Hence the ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

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The length of 175 metres and width of 87.5 metres will maximise the area 15312.5 square metres.

We have been given that Farmer Ed has 350 metres of fencing and wants to enclose a rectangle mat plot that borders on a river. Farmer Ed does not fence the side along the river.  

First of all we will make a relevant figure to represent the perimeter of fencing for 3 sides as shown in the attachment.

Since Ed will not fence the side along the river, fencing is needed for 3 sides and the perimeter of the fencing would be x + x + y = 2x + y.

Now we will equate perimeter with 350 as: 2x + y = 350

y=350-2x

We know that the area of the rectangle is width times length.

A = X•Y

Upon substituting the value of y in area equation, we will get:

A = x•(350-2x)

A(x) = 350x -2x²

Now we will find derivative of area function as:

A'(x) = d(350- 2)/dx

A'(x) = 350-4x

Now we will equate derivative with 0 and solve for x as:

0 = 350-4

4x = 350

x = 350/4 - 87.5

Upon substituting x = 87.5 in equation y = 350-2x, we will get:

y = 350 - 2x

 = 350 - 2(87.5)

 = 350-175

y = 175

Therefore, the length of 175 metres and width of 87.5 metres will maximise the area.

on substituting x = 87.5 in area function, we will get:

A(87.5) = 350(87.5)-2(87.5)²

A(87.5) = 30625-2(7656.25)

A(87.5) = 30625-15312.5

A(87.5)= 15312.5

Therefore, the largest possible area enclosed would be 15312.5 square metres.

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—--------- CORRECT QUESTION FORMAT IS GIVEN BELOW —----------

(Q).

Farmer Ed has 350 meters of fencing and wants to enclose a rectangle mat plot that borders on a river. If farmer Ed does not fence the side along the river find the length and width of the plot that will maximize the area. What is the largest area that can be enclosed ?

The null hypothesis, H0, is that the die is fair, which means that each number has an equal chance of coming up. Since it is a six-sided die, this means that each number has a chance of 1/6 of being rolled. H0: p = 1/6 (p represents the probability of rolling a 4 on one roll of the die).

Part 1: Hypotheses and Conclusion for the experiment

The null hypothesis, H0, is that the die is fair, which means that each number has an equal chance of coming up. Since it is a six-sided die, this means that each number has a chance of 1/6 of being rolled. H0: p = 1/6 (p represents the probability of rolling a 4 on one roll of the die). The alternative hypothesis, Ha, is that the die is loaded, which means that the probability of rolling a 4 is greater than 1/6. Ha: p > 1/6

Conclusion: Since the p-value is less than 0.05, there is evidence that the die is loaded.

Part 2: Conditions necessary for the test to be valid

a. The sample is random.

b. The population is random.

c. The sample is large: (85)(1/6) and (85)(5/6) are both at least 10.

d. The sample is large: (85)(4/15) and (85)(11/15) are both at least 10.

e. The sample is large: n = 85 is at least 30.f. The population is normal. The conditions necessary for the test to be valid are:

a. The sample is random.

b. The population is random.

c. The sample is large: (85)(1/6) and (85)(5/6) are both at least 10. (This condition is necessary because if the sample size is too small, the test may not accurately reflect the population.)

d. The sample is large: (85)(4/15) and (85)(11/15) are both at least 10. (This condition is necessary because if the sample size is too small, the test may not accurately reflect the population.)

e. The sample is large: n = 85 is at least 30. (This condition is necessary because if the sample size is too small, the test may not accurately reflect the population.)

f. The population is normal. (This condition is not necessary for this test because the sample size is large enough.)

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The length of the segment QS is 8 units and the length of the segment TV is 8 units and this can be determined by using similar triangle properties.

Given :

The following steps can be used in order to determine the length of QS and TV:

Step 1 - According to the given data, the triangle QRS is congruent to triangle TUV.

Step 2 - So, the length of the segment QS is equal to the length of the segment TV.

QS = TV

Step 3 - Substitute the values of QS and TV in the above expression.

3v + 2 = 7v - 6

7v - 3v = 6 + 2

4v = 8

v = 2

Step 4 - The length of the segment QS and TV is:

QS = 3(2) + 2 = 6 + 2

QS = 8

TV = 7(2) - 6 = 14 - 6

TV = 8

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Answer:

y=5/2x+10 is the answer

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The x-intercept can be found by setting y=0 and solving for x.

  -5/2x = 10

  x = 10(-2/5) = -4

The y-intercept can be found by setting x=0 and solving for y.

  y = 10

Then the graph is made by plotting these points and drawing a line through them.

Answer:

The answer of number 36 is G and the answer of number 37 is A

Answer:

AAA

Step-by-step explanation:

There's no angle angle angle (AAA) because all triangle's angles add up to 180

Answer: The first graph is the answer.

Step-by-step explanation: If your parents house is 100 hours away, and you're driving at 50 mph, then it would take 2 hours to get to you're parents house (100 ÷ 2 = 50). Then you stay at your parents house for 5 hours (2 + 5 = 7), the graph stays the same place on the y axis for 5 hours. Afterwards you drive home, same distance as when you drove to your parents (2), but you're going back so it's going down. This makes graph 1 the answer.

Answer:

The first graph A

Step-by-step explanation:

Just took the test on edgetrash lol

Answer:

y=20x+217

Step-by-step explanation:

the answer is,   14666074545975

The value of x that makes 25x^2 + 70x + c a perfect square trinomial is c = 1225.

To make the quadratic expression 25x^2 + 70x + c a perfect square trinomial, we need to determine the value of c.

A perfect square trinomial can be written in the form (ax + b)^2, where a is the coefficient of the x^2 term and b is half the coefficient of the x term.

In this case, a = 25, so b = (1/2)(70) = 35.

Expanding (ax + b)^2, we have:

(25x + 35)^2 = 25x^2 + 2(25)(35)x + 35^2

= 25x^2 + 70x + 1225.

Comparing this with the given quadratic expression 25x^2 + 70x + c, we can see that c = 1225.

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Answer:

There is no such k value.

Step-by-step explanation:

The line y = 2 is a horizontal line that includes the point (0, 2) on the y-axis.

A line through point (5, 4) can be parallel to the line y = 2, if the line through point (5, 4) is a horizontal line. The its equation is y = 4.

Since the points (5, 4) and (k, 2) have different y-coordinates, no matter what value k has, a line through point (5, 4) and point (k, 2) cannot be a horizontal line.

Therefore, there is no value of k that will make a line through (5, 4) and (k, 2) parallel to the line y = 2.

Answer: There is no such k value.

Answer:

P' (15, 20)

Step-by-step explanation:

P' ( 3×5, 4×5) = P' (15, 20)

The number of possible combinations of 7 objects taken 4 at a time is 35. Then the correct option is D.

Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.

The number of possible combinations of 7 objects taken 4 at a time.

so, the number of the combination is given as

\(^7C_4 = \dfrac{7!}{4!(7-4)!} \\\\\\^7C_4 = \dfrac{7!}{4!(3)!} \\\\\\^7C_4 = \dfrac{7 \times 6\times 5\times 4!}{4!(3\times 2)} \\\\\\^7C_4 = 35\)

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Answer:

D. 35

Hope this helps!

Step-by-step explanation:

The data source for this claim is likely based on a survey or a report from a health organization.

Data source is a location where data is stored and retrieved. It can be a physical location, such as a database or a server, or it can be an online source, such as an API or web service. Data sources provide the data used to generate reports, perform analytics and other operations. Data sources can be structured or unstructured, and may include databases, documents, spreadsheets, text files, images, audio and video files.

This health organization would have conducted a survey of a representative sample of the population of the country in question and collected data on the prevalence of pneumonia. The organization would have analyzed the data and used it to calculate the approximate percentage of children with pneumonia. The health organization would have also likely cross-referenced the data with other sources such as newspaper reports and medical records to verify the accuracy of its findings. This type of data source can be used to provide reliable evidence that can be used to inform public health policy and interventions.

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Step-by-step explanation:

the heterogeneous :

suspensions

colloids

but solutions and alloys are homogeneous .

Answer: True, False, False

Step-by-step explanation:

Answer:

8. true

9. false

10. false

Answer:

7.8 = k

Step-by-step explanation:

Since the figures are similar, we can use proportions

c           k

----- = -------

b            j

Substituting the values in

6.5         k

----- = -------

4          4.8

Using cross products

6.5 * 4.8 = 4k

31.2 = 4k

Divide each side by 4

31.2/4 = 4k/4

7.8 = k

Answer: m = -9/4  (If they want you to write it in the slope-intercept form the answer is y = -9/4x - 11)

Step-by-step explanation: Use the slope formula to find the slope m.

(Step-by-step explanation for slope-intercept form: Write in slope-intercept form, y = mx +b

The correct statement is:

The relationship between independent variable A and dependent variable C and the relationship between independent variable B and dependent variable C can both be analyzed, but they must be analyzed using separate scatterplots.

When a dependent variable depends on multiple independent variables, their relationships must be examined separately in order to properly analyze the effects of each independent variable on the dependent variable. Using the same scatterplot would confound the relationships. So separate scatterplots are needed to analyze the effects of A and B on C independently.

The other options are incorrect:

- Only analyzing the relationship of A or B to C would provide an incomplete picture. Since C depends on both A and B, both relationships must be examined.

- Using a single scatterplot would not properly allow distinguishing the effects of A from the effects of B. Separate scatterplots are needed for that analysis.

So in summary, in order to analyze how a dependent variable is affected by multiple independent variables, separate scatterplots should be used to examine each relationship independently.

The methods used to summarize or describe characteristics of data are called descriptive statistics.

Descriptive statistics refers to the branch of statistics that focuses on summarizing and describing the main features or characteristics of a dataset. These statistics provide a way to organize, present, and analyze data to gain insights and understand the data's properties. Here are some key points about descriptive statistics:

Data summarization: Descriptive statistics aim to summarize the main aspects of a dataset, including measures of central tendency (such as mean, median, and mode) that provide information about the typical or average value of the data. Measures of dispersion (such as range, variance, and standard deviation) describe the spread or variability of the data points.

Presentation and visualization: Descriptive statistics often involve presenting data in a meaningful and concise manner. This can be done through various graphical representations, such as histograms, bar charts, box plots, or scatter plots. These visualizations help to provide a clear understanding of the distribution, patterns, and relationships within the data.

Sample statistics and population parameters: Descriptive statistics can be calculated for either a sample or an entire population. Sample statistics are calculated based on data from a subset of the population, while population parameters describe the entire population. Sample statistics, such as sample mean or sample standard deviation, provide estimates or approximations of the population parameters.

Descriptive statistics are widely used in various fields, including social sciences, business, healthcare, finance, and many others. They offer a concise and informative summary of data, enabling researchers, analysts, and decision-makers to gain insights, communicate findings, and make informed decisions based on the characteristics of the data.

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Given polygons a right triangle and an isosceles triangle sometimes be similar.

As given ,

Given polygons : A right triangle and isosceles triangle.

Polygon a right triangle and isosceles triangle never be similar.

Reason:

Therefore, given polygons a right triangle and an isosceles triangle sometimes be similar.

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Answer:

6

Step-by-step explanation:

This is calculated in order from left to right. This is same as: (36/2)/3

Note:

It would be calculated as below if the parenthesis was differently applied:

Answer:

6

Step-by-step explanation:

Answer:

SOHCAHTOA

Step-by-step explanation:

Sine=Opposite/hypotenuse

Cosine= Adjacent/hypotenuse

Tangent: Opposite/adjacent

You can use SOHCAHTOA to memorize all the basic functions.

SOH for sine

CAH for cosine

TOA for tangent    

Answer:

Sin= opp/hyp

Cos=adj/hyp

Tan=opp/adj

Answer:

24.315°

Step-by-step explanation:

First use the pythagorean theorem to get the missing side since this is a right triangle.

a^2 + b^2 = c^2 →

b^2 = c^2 – a^2 →

b = (c^2 – a^2)^½

b = (17^2 – 7^2)^½

b = (289 – 49)^½

b = √240.

Then use the law of cosines to find the angle in between.

b^2 = a^2 + c^2 - 2ac * cos(B) →

b^2 - a^2 - c^2 = -2ac * cos(B) →

a^2 + c^2 – b^2 / 2ac = cos(B) →

cos^-1(a^2 + c ^2 – b^2 / 2ac) = C →

B = cos^-1(a^2 + c ^2 – b^2 / 2ac)

B = cos^-1(49 + 289 – √240 / 238)

B ≈ 75.685°.

A = 180 – B

A = 180 – 75.685

A = 24.315°

The volume of the cone is approximately 37.7 cubic units

What is volume?

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.

To find the volume of a cone, we use the formula:

V = (1/3) * π * r² * h

where π is the constant pi, r is the radius of the base of the cone, and h is the height of the cone.

Plugging in the given values, we get:

V = (1/3) * 3.14 * 3² * 4 ≈ 37.7

Therefore, the volume of the cone is approximately 37.7 cubic units (rounded to the nearest tenth).

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The slope of the line between the two points defined in the graph is 1/2.

Slope of the line:

The slope of a line is the change in y coordinate with respect to the change in x coordinate.

m = Δy/Δx

Where the net change in y-coordinate is represented by Δy and the net change in x-coordinate is represented by Δx. Where “m” is the slope of a line

Given,

There is a graph presented here.

Through the graph we have identified two points,

They are (3,0) and (-3, -3).

Now we need to find the slope of the line between these points.

Here we consider the values of (x1,y1) as (3,0) and the value of (x2,y2) as (-3,-3).

Through the values we have to identify the slope of the line.

For that, we have to apply the values on the formula,

Then we get,

m = (-3 - 0)/(-3-3)

m = -3/-6

m = 1/2

Therefore, the slope of the line is 1/2.

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Answer:

45t = distance

Step-by-step explanation:

Distance = speed * time

Distance= 45 mph * t hours = 45t