Two polygons are similar. The perimeter of the larger polygon is 120 yards and the ratio of the corresponding side lengths is $\frac{1}{6}$. Find the perimeter of the other polygon

Thus, 4.0 moles of NH3 would be produced when 6.0 moles of H2 react with sufficient N2.

Suppose 6.0 mol of H2 reacts with sufficient N2 to produce ammonia, NH3. We can determine the number of moles of NH3 produced using stoichiometry.The balanced chemical equation for the reaction is:[tex]3H2(g) + N2(g) → 2NH3(g)[/tex]

From the equation, we can see that 3 moles of H2 react with 1 mole of N2 to produce 2 moles of NH3.

Therefore, using the mole ratio from the balanced equation, we can calculate the number of moles of NH3 that would be produced when 6.0 mol of H2 reacts with [tex]N2:6.0 mol H2 × (2 mol NH3/3 mol H2) = 4.0 mol NH3[/tex]

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The surface area of this rectangular prism is equal to 68 mm².

In Mathematics and Geometry, the surface area of a rectangular prism can be calculated and determined by using this mathematical equation or formula:

SA = 2(WH + LW + LH)

Where:

By substituting the given parameters into the formula for the surface area of a rectangular prism, we have the following;

SA = 2(1 × 4 + 6 × 1 + 6 × 4)

SA = 2(4 + 6 + 24)

SA = 2(34)

SA = 68 mm².

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According to the given information EF = 8 and DF = 7.

A triangle is a three-sided polygon made up of three line segments that connect at three endpoints, called vertices. The study of triangles is an important part of geometry, and it has applications in various fields such as engineering, architecture, physics, and computer graphics.

Since triangle ABC and triangle DEF are similar, their corresponding sides are proportional. That is:

AB/DE = BC/EF = AC/DF

We are given AB = 40, BC = 64, AC = 56, and DE = 5. We can use the ratio AB/DE = BC/EF to find EF:

AB/DE = BC/EF

40/5 = 64/EF

8 = 64/EF

EF = 64/8

EF = 8

So EF = 8.

Similarly, we can use the ratio AC/DF to find DF:

AC/DF = AB/DE

56/DF = 40/5

56/DF = 8

DF = 56/8

DF = 7

So DF = 7.

Therefore,according to the given information EF = 8 and DF = 7.

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Answer: b

Step-by-step explanation:

u just add them together

a) The degree of freedom for a sample size 25 is equals to the 24 and the critical value t* for 80% confidence interval and degree of freedom 24 is equals to 1.318.

b) The degree of freedom for a sample size 55 is equals to the 54 and the critical value t* for 98% confidence interval and degree of freedom 54 is equals to 2.403.

The t-distribution has a bell-shaped density curve but has more variance (spread) than a normal bell curve.

Step 1: First express the confidence level as a number (in decimal) c with 0<c<1.

Step 2: Determine the significance level, denoted

α, by α = 1 − c.

Step 3: Use the t-distribution table to obtain the t-score (critical value) tα/2 where (i) the α is from Step 2 and (ii) the degrees of freedom equals n−1, where n is the sample size.

a) 80% of confidence interval and observation of

Sample size, n = 25

From above definition, degree of freedom= n - 1 = 25 - 1 = 24 and c = 80%

= 0.80

Significance level, α = 1- c = 1 - 0.80 = 0.20

and α/2 = 0.10 then use the t-table the critical t-value for this 80% confidence interval, t₀.₁₀ = 1.711.

b) 98% confidence interval with 55 observations. So, Sample size, n = 55

degree of freedom = n - 1 = 55 - 1 = 54,

c = 98% = 0.98

Significance level, α = 1-0.98 = 0.02

and α/2 = 0.01, then use the t-table the critical t-value for this 98% confidence interval, t₀.₀₁ = 2.669

Hence required value is 2.669.

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Answer:

n=12

Step-by-step explanation:

sum of interior angles of polygon with n sides = (n-2)180

measure of an interior angle of a polygon times the number of sides (n) = sum of interior angles of polygon with n sides, therefore:

(n - 2)180 = 150n

180n - 360 = 150n

30n = 360

n = 360/30 = 12

Answer:27.5

Step-by-step explanation:

i did this with a calculator, but the answer is

27.5

Mark needs to invest 5572.24 hours (rounded to one decimal place) of study time in order to achieve an A letter grade in this course.

To determine the estimated minimum number of hours Mark should study, we need to solve for the number of hours such that his predicted score, given by the regression equation from part (b), is at least 90.

The regression equation is as follows: Predicted score = 48.74 + 0.00726(number of hours studied)

Setting the predicted score equal to 90 and solving for the number of hours studied gives:90 = 48.74 + 0.00726 (number of hours studied)

Solving for the number of hours studied gives: number of hours studied = (90 - 48.74)/0.00726= 5572.24

Therefore, Mark should study for 5572.24 hours (rounded to one decimal place) to receive a letter grade of A for this course.

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The given interval suggests that the mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 6 since the upper limit of the interval is 5.8. This claim falls within the given interval and is supported by the data. Therefore, we can say that the mean number of porcupine teeth marks on all wooden blocks treated with the repellent is less than 6 based on the 95 percent confidence interval (4.9,5.8).

In the given scenario, a sample of 20 wooden blocks treated with a liquid repellent designed to reduce damage caused by porcupines were left outside in an area where porcupines are known to live. After some time, the blocks were inspected for the number of porcupine teeth marks visible. The data collected was then used to create the 95 percent confidence interval (4.9,5.8).

The 95 percent confidence interval can be defined as a range of values that we can be 95 percent confident the true population parameter falls within. In this case, the true population parameters is the mean number of porcupine teeth marks on all wooden blocks treated with the repellent.

From the given interval, we can conclude that we are 95 percent confident that the true mean number of porcupine teeth marks on all wooden blocks treated with the repellent is between 4.9 and 5.8.

Therefore, any claim that falls within this interval is supported by the data.

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Answer:

The area of a circle is given by the formula A = πr², where r is the radius of the circle.

If we have two circles with radii of 6 cm and 12 cm, respectively, their areas are:

A1 = π(6 cm)² ≈ 113.1 cm²

A2 = π(12 cm)² ≈ 452.4 cm²

Therefore, the area of the largest circle is closest to 452.4 square centimeters, which corresponds to the circle with radius 12 cm.

Answer:

y = {18 x + 14, 14 - 15 x, 14 - 39 x}

Step-by-step explanation:

There is zero context to this, so I have no clue if this helps or even answers your question. Try harder with the question next time.

By looking at the box plot, we can determine that the IQR is 40 pounds.

The interquartile range (IQR) of the players' weights is the difference between the upper quartile (Q3) and the lower quartile (Q1). The upper quartile is the value that 75% of the players' weights are below, and the lower quartile is the value that 25% of the players' weights are below.

Calculating the IQR requires the following steps:

In this case, the interquartile range of the players' weights is the difference between the upper quartile (Q3) and the lower quartile (Q1). By looking at the box plot, we can determine that the IQR is 40 pounds.

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The length of the missing side is 3√17 ft. Option B is the correct option.

What is the hypotenuse?

The longest side of a right-angled triangle, or the side opposite the right angle, is known as the hypotenuse in geometry. The Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides, can be used to determine the length of the hypotenuse.

The △ABC is a right-angled triangle.

Thus the sum of squares of the legs of the triangle is equal to the square of the hypotenuse.

The hypotenue is 13 ft.

Assume that the missing leg is equal to x.

The legs of the triangle are x and 4ft.

Apply Pythagorean theorem:

13² = 4² + x²

x² = 169 -16

x² = 157

x = √(3×3×17)

x = 3 √17

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The "x is small" approximation only works when the initial concentration of the reactant is relatively large and the equilibrium constant is small.

What does the "x is small" approximation mean? The x is small approximation does not mean that x is zero. If that were the case, the reactant and product concentrations wouldn't change from their initial values. The x is small approximation just means that when x is added or subtracted to another number, it doesn't change that number by very much. When does the "x is small" approximation work? The "x is small" approximation only works when the initial concentration of the reactant is relatively large and the equilibrium constant is small. What is the <5% rule? The x is small approximation must satisfy the <5% rule, whereby the x approximation divided by the number it was subtracted from is less than 5% (or 0.05). What is the method of successive approximation? The method of successive approximation is solving for x as if it were small, and then substituting the value obtained back into the equation (where x was initially neglected) to solve for x again. This can be repeated until the calculated value of x stops changing with each iteration, an indication that we have arrived at an acceptable value for x.

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The probability of Felipe winning a prize is 1/5 or 0.2.

As per given equation:

Odds in favor of Felipe winning a prize is

Probability of an event is given by

P(event) = Number of favorable outcomes/ Total number of outcomes

In the given problem, the odds in favor of Felipe winning a prize are.

Hence, the probability of Felipe winning a prize is

P(win) = Number of favorable outcomes/ Total number of outcomes

Let us assume that there are x favorable outcomes and y total outcomes.

Then, according to the odds, we have x : y-x or x : y

There are two possibilities for x and y-x.

Thus, the total number of outcomes will be:

Total number of outcomes = x + (y - x) = y

Therefore, we have P(win) = x/y

Since the odds in favor of Felipe winning a prize are , we have x : y-x = :

That is, x:y-x = 1:4

This means that if x is 1, then y-x is 4.

So, the total number of outcomes is:

Total number of outcomes = x + (y - x) = 1 + 4 = 5

Hence, the probability of Felipe winning a prize is:

P(win) = x/y= 1/5

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Answer:

The probabilities are listed as:

P(Ella wins) = 0.75

P(Danila wins) = 5% or 0.05

P(Sophia wins) = 1/5 or 0.2

To determine the order of least to most likely events:

- The probability of Danila winning is the lowest at just 5%. Therefore, Danila winning is the least likely event.

- The probability of Sophia winning (0.2) is greater than Danila's probability of winning (0.05). Hence, Sophia winning is more likely than Danila winning.

- Finally, Ella has the highest probability of winning (0.75) among all three contestants. So, Ella winning is the most likely event.

Therefore, the order of least to most likely events is: Danila wins, Sophia wins, Ella wins.

Answer: Danila, Sophia then Ella

Step-by-step explanation: I took quiz on Khan

The values of the two numbers of the system of equations is x = 6 and y = -9.

First, we are told that "three times the sum of two numbers is 15". This can be written as:

3(x + y) = 15

Next, we are given that "one of the numbers is 9 more than one-third of the other number". We can break this down into two parts:

"one of the numbers": this refers to either x or y, but we don't know which one yet. Let's assume that it refers to x.

"9 more than one-third of the other number": this means that we take one-third of the other number (y), add 9, and that gives us x. In equation form, this is:

x = (1/3)y + 9

Now we have two equations with two variables:

3(x + y) = 15

x = (1/3)y + 9

We can use these equations to solve for x and y. There are different methods for solving a system of equations, but one common method is substitution.

Using the second equation, we can solve for x in terms of y:

x = (1/3)y + 9

3x = y + 27

y = 3x - 27

Now we can substitute this expression for y into the first equation:

3(x + y) = 15

3(x + 3x - 27) = 15

Simplifying this equation gives:

12x = 72

x = 6

Finally, we can use the equation we found for y in terms of x to find the value of y:

y = 3x - 27

y = 3(6) - 27

y = -9

So the two numbers are x = 6 and y = -9.

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Answer: Shape one: 5, Shape 2: 13

Step-by-step explanation:

shape one
12^2+x^2=13^2

shape two
5^2+12^2=x^2

Answer:

PLEASE MARK ME AS BRAINLLIEST

Step-by-step explanation:

p=12

h=13

b=?

p²+b²=h²

12²+b²=13²

144+b²=169

b²=169-144

   = 25

b=root25

b=5m

b=5

p=12

h=?

p²+b²=h²

12²+5²=h²

144+25=h²

h²=169

h=root169

h=13

The extent to which a sample over or under represents characteristics of the population is known as sampling error.

Sampling error is the difference between the characteristics of a sample and the characteristics of the population from which it is drawn. Sampling error occurs when a sample does not accurately represent a population due to the selection of individuals. It is measured as the difference between a sample statistic and the corresponding population parameter. For example, if a sample of 100 people is taken from a population of 1,000 people, the sample might not accurately reflect the population as a whole due to random selection.

Sampling error is an important consideration in survey research, as it can have an effect on the accuracy of the results. Sampling error can be reduced by using larger sample sizes or by using more representative sampling methods.

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Answer:

275

Step-by-step explanation:

You have a 1 in 2 chance

550/2

275 times

We would expect around 3 students to have an IQ of 140 or above at Hogwarts School of Witchcraft and Wizardry.

Based on the given information, we can use the normal distribution formula to calculate the number of students expected to have an IQ of 140 or above.

To explain this, we can use the following steps:

1. Calculate the z-score for an IQ of 140 using the formula: z = (x - μ) / σ where x is the IQ score, μ is the mean IQ score and σ is the standard deviation.

2. Look up the probability of a z-score of 2.67 or above using a standard normal distribution table or calculator. This gives us the proportion of the population with an IQ of 140 or above.

3. Multiply the proportion by the total number of students to get the expected number of students with an IQ of 140 or above.

Since we cannot have a fraction of a student, we can round this to the nearest whole number to get the final answer.

Therefore, we would expect around 3 students to have an IQ of 140 or above at Hogwarts School of Witchcraft and Wizardry.

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The set of ordered pairs (2,1), (3,3), (4,6), (2,3) is NOT a function because the input value of 2 corresponds to both the output values of 1 and 3.

For a set of ordered pairs to be a function, each input (x-value) must correspond to only one output (y-value). Therefore, if there exists an input (x-value) that corresponds to more than one output (y-value), then the set of ordered pairs is NOT a function.

Let's check each set of ordered pairs:

Therefore, the set of ordered pairs that is NOT a function is (2,1), (3,3), (4,6), (2,3).

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In response to the stated question, we may state that therefore, the expressions value of vector will be n = 25.73.

An expression in mathematics is a collection of numbers, variables, and mathematical (such as addition, reduction, multiplication, division, exponentiation, etc.) that express a quantity or value. Expressions might be as basic as "3 + 4" or as complicated as "(3x2 - 2) / (x + 1)". They may also contain functions like "sin(x)" or "log(y)". Expressions can also be evaluated by substituting values for the variables and performing the mathematical operations in the order specified. If x = 2, for example, the formula "3x + 5" equals 3(2) + 5 = 11. Expressions are commonly used in mathematics to describe real-world situations, construct equations, and simplify complicated mathematical topics.

to find vector and magnitude we have

[tex]n^2 = (22.5)^2 + (12.5)^2\\n^2 = 506.25 + 156.25\\n^2 = 662.5\\n = \sqrt(662.5)\\n = 25.73[/tex]

therefore, the value of vector will be n = 25.73.

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The optimal solution would be to use $240 worth of professional grade material for each frame.

An optimal solution is a solution that provides the best possible outcome for a problem or situation, given a set of constraints or requirements. In mathematical optimization, an optimal solution is the solution that maximizes or minimizes an objective function while satisfying a set of constraints.

In other words, an optimal solution is the solution that is most efficient, effective, or desirable according to a certain set of criteria. It is the solution that achieves the best possible outcome, given the available resources and limitations.

To find the optimal solution, we need more information about the specific weight specification and the cost of different types of materials.

However, if we assume that there is only one type of material available, and that it costs $x per yard, we can set up an equation to find the optimal solution:

30x = cost per frame

If the professional grade material costs $8 per yard, then the equation becomes:

30(8) = $240 per frame

So, the optimal solution would be to use $240 worth of professional grade material for each frame, assuming that it meets the weight specification. If the weight specification requires a different amount of material, or if there are other materials available at different prices, the optimal solution would be different.

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In this particular question, the following statements can be used to complete each sentence with either "increases" or "decreases":

- Phytic acid decreases the absorption of zinc from grains.

Oxalic acid decreases the absorption of calcium from spinach.

- Refinement of grains decreases the mineral content of grain products.-

Vitamin C increases the absorption of iron from foods.-

Vitamin D increases the absorption of calcium from foods.

Explanation:

Bioavailability refers to the proportion of a nutrient that is absorbed from food and made available for use in the body. Factors that alter bioavailability of minerals from foods include phytic acid, oxalic acid, refinement of grains, and vitamins C and D. Phytic acid, for instance, decreases the absorption of zinc from grains while oxalic acid decreases the absorption of calcium from spinach.

           Refinement of grains, on the other hand, decreases the mineral content of grain products. Conversely, vitamin C increases the absorption of iron from foods while vitamin D increases the absorption of calcium from foods.

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Answer:

multiply BD and AC and you got it

Step-by-step explanation:

if yuo put ABD triangle over CEB you got a sqare, if you do it again you got a aqare 20x10

Step-by-step explanation:

Using the formula F = (9/5)*C + 32, where C is the temperature in Celsius and F is the temperature in Fahrenheit, we can find the temperature in Fahrenheit:

F = (9/5)*C + 32

F = (9/5)*28 + 32

F = 82.4

Therefore, the temperature in degrees Fahrenheit is 82.4°F.

Free Water ≈ 0 M (as bound water is approximately equal to total water). To find the equilibrium concentrations for the two complexes at different temperatures, we can use the provided values in the table:

Ice Water:
[CoCl₄]²⁻ = 3.331x10⁻⁶ M
[Co(H₂O)₆]²⁺ = 0.04246 M
Room Temperature:
[CoCl₄]²⁻ = 3.183x10⁻⁶ M
[Co(H₂O)₆]²⁺ = 0.04243 M
Warm Water:
[CoCl₄]²⁻ = 0.0000957 M
[Co(H₂O)₆]²⁺ = 0.04151 M
#19) To find the equilibrium free chloride concentration at room temperature, use the formula:
Free Chloride = Total Chloride - Bound Chloride
Total Chloride = [CoCl₄]²⁻
Bound Chloride = 4 * [CoCl₄]²⁻ (since 4 chloride ions are used for each complex)
At room temperature:
Free Chloride = Total Chloride - 4 * 3.183x10⁻⁶ M
Free Chloride ≈ 0 M (as bound chloride is approximately equal to total chloride)
#20) To find the equilibrium free water concentration at room temperature, use the formula:
Free Water = Total Water - Bound Water
Total Water = [Co(H₂O)₆]²⁺
Bound Water = 6 * [Co(H₂O)₆]²⁺ (since 6 water molecules are used for each complex)
At room temperature:
Free Water = Total Water - 6 * 0.04243 M.

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