Angles A and B are complementary.

Two separate angles are shown. Angle A is (x + 22) degrees. Angle B is x degrees.
What is the value of x ?

)The given angle is 13π/8 which lies in fourth

To draw a conclusion, a statistical analysis with a significance level (alpha) of 0.02 can be applied to compare the results.treated samples consistently show lower shrinkage temperatures compared to the control samples

In this study, the aim is to prove that electrical stimulation improves meat tenderness. Connective tissue (collagen) from beef steaks was examined, as lower collagen shrinkage temperature indicates higher tenderness.

The beef carcasses were split, with one side subjected to electrical current and the other side untreated as a control. Steak samples were cut from each side and tested for tenderness by determining the collagen shrinkage temperature.

I, it suggests that electrical stimulation does improve meat tenderness.

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Answer:

After wearing blue shirts on Monday, Tuesday, and Wednesday, there are 2 blue shirts remaining in the closet.

There are a total of 13 - 3 = 10 shirts remaining in the closet.

Out of the remaining shirts, there are 3 green shirts and 5 red shirts, for a total of 8 shirts.

Since you are not allowed to wear the same shirt twice, and you have already worn 3 blue shirts, you have worn a total of 3 shirts.

Therefore, you have 10 - 3 = 7 shirts remaining in the closet.

Since you have 7 shirts remaining, and you can wear one shirt each day for the rest of the week, you can wear a different shirt each day from Thursday to Sunday.

Therefore, the number of different ways you can wear a shirt for the entire week, without wearing the same shirt twice, is:

3 (for Monday, Tuesday, and Wednesday) x 3 (remaining blue shirts) x 4 (for Thursday, Friday, Saturday, and Sunday) = 36.

Hope this helps.

Answer:

B

Step-by-step explanation:

B is the only choice of graph that matches the inequality x²≥4

Answer:

x=8

Step-by-step explanation:

Since m and n are parallel, the two given angles are equal (opposite exterior).  Therefore,

7x-2=5x+14

7x-5x=14+2

2x=16

x=8

Answer:

43.7°

Step-by-step explanation:

(WV)² = 45² + 43² = 3874

WV = √3874

sin x/ 43  =  sin 90/ √3874

sin x = (43 sin 90) /√3874

x = arcsin (43 sin 90) /√3874

= 43.7° to nearest tenth

Answer: 69 and 420

Step-by-step explanation:

To convert caster sugar from grams to cups, you can use the fact that 1 cup of caster sugar is equivalent to approximately 200 grams. So, to convert a given amount of caster sugar in grams to cups, you can divide the number of grams by 200.

For example, if you have 400 grams of caster sugar, you can convert it to cups by dividing 400 by 200, which gives you 2 cups.

It's important to note that this conversion is an approximation and can vary slightly depending on factors such as the density of the sugar and how tightly it is packed into the cup. For more precise measurements, it's always a good idea to use a kitchen scale to weigh ingredients.

1.57 meters of barbed wire are needed to fence the circular piece of land with a radius of 25 cm.

We have,

To calculate the amount of barbed wire needed to fence the circular piece of land, we need to find the circumference of the circle.

Given:

Radius (r) = 25 cm

The formula for the circumference (C) of a circle is:

C = 2πr

Substituting the given radius into the formula, we have:

C = 2π x 25 cm

Now, we can calculate the circumference in centimeters.

C = 2 x 3.14 x 25 cm

C ≈ 157 cm

Now,

To convert centimeters to meters, we divide the circumference by 100.

C (in meters) = 157 cm / 100

C (in meters) ≈ 1.57 meters

Therefore,

Approximately 1.57 meters of barbed wire are needed to fence the circular piece of land with a radius of 25 cm.

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The complete question.

A circular piece of land with a radius of 25 cm is going to be fenced. How many meters of barbed wire are needed?

The number of pork sliders sold is given as follows:

24 pork sliders.

The number of pork sliders sold is obtained applying the proportions in the context of the problem.

The total number of pork sliders is given as follows:

120 pork sliders.

The percentage of pork sliders sold is given as follows:

20%. (proportion of 0.2).

Hence the amount sold is given as follows:

0.2 x 120 = 24 pork sliders.

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The surface area of the triangular prism is B. 1,008 [tex]cm^{2}[/tex]

Triangular Prism is a polyhedron made up of two triangular bases and three rectangular sides. It is a three-dimensional shape that has three side faces and two base faces, connected to each other through the edges.

How to determine this

The surface area of the triangular prism =  Area of the front Triangle + Area of the triangle + Each sides of the triangle by the length of the triangular prism.

Area of the front and back triangle will be the the same given the same base and height

To find the area of the triangle = 1/2 * Base * Height

Where base = 12 cm

Height = 9 cm

Area = 1/2 * 12 cm * 9 cm

Area = 6 * 9 [tex]cm^{2}[/tex]

Area of the one triangle = 54 [tex]cm^{2}[/tex]

So, by multiplying each sides of the triangle by the length

= Base * Length

= 12 cm * 25 cm

= 300[tex]cm^{2}[/tex]

Height * Length

= 9 cm * 25 cm

= 225 [tex]cm^{2}[/tex]

Then, Hypotenuse * Length

= 15 cm * 25 cm

= 375 [tex]cm^{2}[/tex]

Surface area = 54[tex]cm^{2}[/tex] + 54[tex]cm^{2}[/tex] * 300[tex]cm^{2}[/tex] + 225[tex]cm^{2}[/tex] + 375[tex]cm^{2}[/tex]

Surface Area = 1,008[tex]cm^{2}[/tex]

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Answer:

12x + 22

Step-by-step explanation:

3(6x+4) -2(3x-5)

= 18x + 12 - 6x + 10

= 12x + 22

So, the answer is 12x + 22

Answer:

80.55

Step-by-step explanation:

Formula to calculate the perimeter (P) of a regular dodecagon with a radius (r) is:

P = 24 * r * sin(π/12),

where π is approximately 3.14159.

Using this formula, with the given radius of 13, we can calculate the perimeter as follows:

P = 24 * 13 * sin(π/12).

Calculating sin(π/12), we find that it is approximately 0.2588190451.

Substituting this value into the formula, we have:

P = 24 * 13 * 0.2588190451.

Evaluating the expression, we get:

P ≈ 80.55223123.

Therefore, the approximate perimeter of a regular dodecagon with a radius of 13 is approximately 80.55 units.

Perimeter = 12 × 13 × sin(π/12) ≈ 121.41 units

regular dodecagon with a radius of 13.

A regular dodecagon can be divided into 12 congruent isosceles triangles, each with a central angle of 30 degrees (360 degrees divided by 12 sides). The base of each triangle is a side of the dodecagon, and the two equal sides are radii of the dodecagon.

To find the length of the base of each triangle (i.e., the side of the dodecagon), we can use trigonometry. The formula is:

base = 2 * radius * sin(π/12),

where radius is 13 and π is approximately 3.14159.

Substituting the given values into the formula, we have:

base = 2 * 13 * sin(π/12).

Calculating sin(π/12), we find that it is approximately 0.2588190451.

Now we can substitute this value into the formula:

base = 2 * 13 * 0.2588190451.

Evaluating the expression, we get:

base ≈ 6.712685936.

Since there are 12 sides in the dodecagon, the perimeter is the sum of all the sides:

perimeter = 12 * base.

Substituting the value of the base, we have:

perimeter = 12 * 6.712685936.

Calculating the expression, we find:

perimeter ≈ 80.55223123.

Therefore, the approximate perimeter of a regular dodecagon with a radius of 13 is approximately 80.55 units

chatgpt bardAI

rechneronlinede

Answer:

80.8 units

Step-by-step explanation:

We have:

radius(r)=13

no of side(n)=12

First of all, we need side lenght::

we have

[tex]\boxed{\bold{Length \: of\: 1\: side(s)=2 r * sin(\frac{180}{n}})}[/tex]

substituting value:

[tex]\boxed{\bold{Length \: of\: 1\: side(s)=2 *13* sin(\frac{180}{12}})=6.729}[/tex]

now

We have Perimeter= no of side* length of one side=12*6.729=80.78 in nearest tenth it is 80.8 units

Answer: The answer is D

Step-by-step explanation:

I know this because I did this and my teacher gave me the answer

Answer:

I assume you mean the volume. V = (pi)(125)/6 cm³

Step-by-step explanation:

h = 10 cm

r = d/2 = 5/2 = 2.5 cm

volume = pi(r)(r)(h)/3

V = pi(2.5)(2.5)(10)/3 = (pi)(125/6)

Answer:

Step-by-step explanation:

Calculating the exact sea level rise resulting from all the melted ice flowing into Earth's oceans requires precise measurements and data that are subject to numerous variables. However, we can provide a rough estimate based on some general assumptions.

According to the National Snow and Ice Data Center (NSIDC), the total volume of ice on Earth is estimated to be approximately 24 million cubic kilometers (km³). If all of this ice were to melt and flow into the oceans, it would contribute to a rise in sea level.

To convert the volume of ice into a rise in sea level, we need to consider the total surface area of the oceans. The approximate surface area of the Earth's oceans is about 361 million square kilometers (km²).

Using these figures, we can estimate the sea level rise as follows:

Sea Level Rise (km) = Volume of Ice (km³) / Surface Area of Oceans (km²)

Sea Level Rise (km) = 24,000,000 km³ / 361,000,000 km² ≈ 0.066 km ≈ 66 meters ≈ 216.5 feet

Therefore, if all the ice on Earth were to melt and flow into the oceans without changing the ocean basin, it could cause the sea level to rise by approximately 0.066 kilometers (66 meters) or 216.5 feet. However, please note that this is a rough estimate and does not account for factors such as thermal expansion of water or the complex dynamics of ice melting and oceanic response, which can affect sea level rise differently in various regions.

Answer:

  ∠CDE = 170°

Step-by-step explanation:

You want the measure of angle D in the heptagon shown.

The sum of angles in a heptagon is 180°(7 -2) = 900°. This means ...

  (2x -13) +(2x +9) +(2x +11) +(3x -1) +(2x -7) +(2x -3) +(3x -8) = 900

  16x = 912 . . . . . . . add 12

  x = 912/16 = 57

  Angle D = 3x -1 = 3(57) -1 = 170

The measure of angle CDE is 170°.

__

Additional comment

The sum of interior angles of an n-sided polygon is (n -2)·180°.

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The cars arranged in descending order of their prices are:

Car B - ₹1,000,800

Car D - ₹900,800

Car A - ₹989,098

Car C - ₹899,998

We have, the prices of car as

989,098, 1,000,800, 899,998,  900,800

Now, to arrange the cars in descending order of their prices, we compare the prices of each car by focusing the digits

The largest number is ₹1,000,800 and the smallest number is ₹899,998.

So, the prices of car in Descending order is

Car B - ₹1,000,800

Car D - ₹900,800

Car A - ₹989,098

Car C - ₹899,998

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The question attaches is incomplete, the complete question is:

The price of four cars are given below. Arrange the cars in descending order of their prices?

Car Price

A ₹989098

B ₹1000800

C ₹899998

D ₹900800

ending balance of the Retained Earnings account for Capri Company is $70,900.

To calculate the ending balance of the Retained Earnings account for Capri Company, we need to follow the steps of the accounting cycle, which includes closing the temporary accounts and transferring their balances to the Retained Earnings account.

First, we need to close the revenue accounts and transfer their balances to the Retained Earnings account:

Services revenue $92,000

Interest revenue $9,200

Total revenue $101,200

To close the revenue accounts, we debit them and credit the Retained Earnings account:

Debit Services revenue $92,000

Debit Interest revenue $9,200

Credit Retained Earnings $101,200

Next, we need to close the expense accounts and transfer their balances to the Retained Earnings account:

Salaries expense $40,500

Depreciation expense $8,400

Utilities expense $6,400

Total expenses $55,300

To close the expense accounts, we credit them and debit the Retained Earnings account:

Credit Salaries expense $40,500

Credit Depreciation expense $8,400

Credit Utilities expense $6,400

Debit Retained Earnings $55,300

Finally, we need to close the Dividends account and transfer its balance to the Retained Earnings account:

Debit Dividends $16,000

Credit Retained Earnings $16,000

The ending balance of the Retained Earnings account can be calculated as follows:

Beginning balance $41,000

Add: Total revenue $101,200

Less: Total expenses $55,300

Less: Dividends $16,000

Ending balance $70,900

Therefore, the ending balance of the Retained Earnings account for Capri Company is $70,900.

The Distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.

The distance between two points in a coordinate plane. The distance formula is based on the Pythagorean theorem and calculates the straight-line distance between two points.

The coordinates of the first point as (x1, y1) = (4, -2) and the coordinates of the second point as (x2, y2) = (7, -9).

The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values:

d = sqrt((7 - 4)^2 + (-9 - (-2))^2)

d = sqrt((3)^2 + (-7)^2)

d = sqrt(9 + 49)

d = sqrt(58)

Hence, the distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.

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The total number of stamps used is z, then we have:

38x + 7z = 198

Let's solve this problem using a system of equations. Let's assume Scott used x 45-cent stamps and y 7-cent stamps.

The value of x 45-cent stamps is 45x cents.

The value of y 7-cent stamps is 7y cents.

According to the problem, Scott used a total of $1.98 in postage, which is equal to 198 cents.

So we can set up the following equation based on the value of the stamps used:

45x + 7y = 198 ...(Equation 1)

We also know that Scott used a total of x + y stamps.

We can set up another equation based on the total number of stamps used:

x + y = Total Number of Stamps ...(Equation 2)

We need to solve this system of equations to find the values of x and y.

From Equation 2, we can rewrite it as:

y = Total Number of Stamps - x

Substituting this into Equation 1:

45x + 7(Total Number of Stamps - x) = 198

45x + 7Total Number of Stamps - 7x = 198

38x + 7Total Number of Stamps = 198

Let's assume the total number of stamps used is z, then we have:

38x + 7z = 198 ...(Equation 3)

Now, we need more information to solve the system of equations. We need to know the total number of stamps used or the values of x and y.

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One angle measure provided (27 degrees), to determine the lengths of the sides or the measures of the other Angles.

The triangle, we need more information about the triangle, such as the lengths of the sides or the measures of other angles. The given information, "27 degrees," only specifies one angle of the triangle, but it is not sufficient to solve the triangle completely.

To solve a triangle, we typically need at least three pieces of information, which can include side lengths, angle measures, or a combination of both. With only one angle measure provided (27 degrees), we are unable to determine the lengths of the sides or the measures of the other angles.

To fully solve the triangle, we would need additional information such as the lengths of the sides or measures of at least two more angles. Without this additional information, it is not possible to provide a complete solution or determine the lengths of the sides or the measures of the other angles in the triangle.

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Answer:

161.67 square feet

Step-by-step explanation:

The explanation is attached below.

Answer:

7a+14

Step-by-step explanation:

You distribute the 7 across the equation (7xa)+(7x2) = 7a=14

All three approaches yield the same result: AED4,600,000 (Expenditure Approach), AED1,600,000 (Income Approach), and AED1,800,000 (Production Approach). This consistency demonstrates that the three approaches provide equivalent measures of GDP.

To calculate the contributions to GDP of the given transactions, we can use the three approaches: the expenditure approach, income approach, and production approach. Let's calculate the GDP using each approach and demonstrate that they give the same answer.

Expenditure Approach:

GDP is calculated as the sum of all final expenditures. In this case, the final expenditures are the sales of the supercomputers.

GDP = Sales of supercomputers

= (3 * AED1,000,000) + (1 * AED800,000)

= AED3,800,000 + AED800,000

= AED4,600,000

Income Approach:

GDP can also be calculated by summing up all the incomes earned during production. In this case, the incomes include wages, interest, and taxes.

GDP = Wages + Interest + Taxes

= (Labour costs for ABC + Labour costs for Jumbo) + (Interest on debt for ABC) + (Taxes for ABC + Taxes for Jumbo)

= (AED1,000,000 + AED200,000) + AED100,000 + (AED200,000 + AED100,000)

= AED1,200,000 + AED100,000 + AED300,000

= AED1,600,000

Production Approach:

GDP can also be calculated by summing the value added at each stage of production. In this case, the value added is the sales price minus the cost of components purchased.

GDP = Sales price of supercomputers - Cost of components

= (3 * AED1,000,000) + (1 * AED800,000) - (4 * AED500,000)

= AED3,000,000 + AED800,000 - AED2,000,000

= AED1,800,000

As we can see, all three approaches yield the same result: AED4,600,000 (Expenditure Approach), AED1,600,000 (Income Approach), and AED1,800,000 (Production Approach). This consistency demonstrates that the three approaches provide equivalent measures of GDP.

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1.1) The missing values in the table can be completed as in the image I provided.

1.2) The input values are the values of the independent variable, which in this case is the number of cars (X).

1.3) The output values are the values of the dependent variable, which in this case is the number of wheels (Y).

1.4) The two variables represented in the table are the number of cars (X) and the number of wheels (Y).

1.5) The independent variable is the number of cars (X). This is because the number of wheels on a car is determined by the number of cars, not the other way around.

1.6) The dependent variable is the number of wheels (Y). This is because the number of wheels depends on the number of cars.

1.7) A verbal statement that relates the number of cars to the number of wheels in general could be: "The total number of wheels is equal to four times the number of cars."

1.8) A number sentence that relates the number of cars to the number of wheels in general could be: Y = 4X

Answer:

5 songs

Step-by-step explanation:

I think the answer should be 5 songs because there are 9 minutes in one song and in total there is 45 minutes. I know that when I do 45/9 it equals 5.

The type of experimental design where the assignment of experimental units to treatment and control groups is random is called a Randomized controlled trial (RCT).

The type of experimental design where the assignment of experimental units to treatment and control groups is random is called a randomized controlled trial (RCT).

Randomized controlled trials are widely recognized as the gold standard in research for evaluating the effectiveness of interventions, treatments, or policies. They are commonly used in fields such as medicine, psychology, social sciences, and education.

In an RCT, participants or experimental units are randomly assigned to either the treatment group or the control group. Random assignment ensures that each participant has an equal chance of being assigned to either group, minimizing selection bias and increasing the likelihood that the groups are comparable at the start of the study.

The random assignment process can be achieved through various methods, such as random number generation, coin flipping, or computer algorithms. By randomly assigning participants, the researcher aims to create two groups that are similar in terms of relevant characteristics, such as age, gender, or baseline measures.

The purpose of randomization in an RCT is to reduce the impact of confounding variables and increase internal validity. It allows researchers to make causal inferences about the effects of the intervention or treatment being studied. By comparing the outcomes between the treatment and control groups, researchers can determine if the intervention has a statistically significant effect.

Randomized controlled trials typically involve rigorous study designs, including blinding or masking procedures, sample size calculations, and appropriate statistical analyses. They provide strong evidence for evaluating the effectiveness of interventions and informing evidence-based practice and policy decisions.

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The sample mean is 24.67 mins while the population means is 27 mins. The estimated margin of error of the sample population is 5.32 mins.

a) Sample mean and the Population mean:

Sample Mean:

Sample mean is the sum of all the commute time and dividing it by the number of selected employees.

Sample mean (Xbar) = (31 + 10 + 13 + 42 + 20 + 23 + 23 + 27 + 25 + 31 + 18 + 13) / 12

          = 296 / 12

          = 24.67 minutes

Population Mean:

The population mean is the average of all possible values in the entire population. However, from the question, we are given the  population mean to be 27min

Population mean = 27 minutes

b) Margin of error of the sample population using the standard deviation:

Standard Deviation (s):

The standard deviation of a sample measures the average distance of individual data points from the sample mean.

Step 1: Calculate (X - Xbar):

(31 - 24.67),

(10 - 24.67),

(13 - 24.67),

(42 - 24.67),

(20 - 24.67),

(23 - 24.67),

(23 - 24.67),

(27 - 24.67),

(25 - 24.67),

(31 - 24.67),

(18 - 24.67),

(13 - 24.67)

Step 2: Calculate (X - Xbar)²:

44.11, 214.52, 130.38, 321.89, 22.11, 1.62, 1.62, 4.72, 0.18, 44.11, 40.18, 130.38

Step 3: Sum up the squared differences:

Sum = 44.11 + 214.52 + 130.38 + 321.89 + 22.11 + 1.62 + 1.62 + 4.72 + 0.18 + 44.11 + 40.18 + 130.38

    = 974.82

Step 4: Divide by the sample size minus 1:

s = √(974.82 / (12 - 1))

  ≈ √(974.82 / 11)

  ≈ √88.62

  ≈ 9.41 minutes

Margin of Error:

The margin of error is calculated by multiplying the standard deviation by a critical value, which depends on the desired level of confidence. For a 95% confidence level, the critical value is approximately 1.96.

Margin of error = 1.96 * (s / √n)

              = 1.96 * (9.41 / √12)

              ≈ 1.96 * (9.41 / 3.464)

              = 5.32 minutes

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Answer:

dice=1/3 and coin=1/2

Step-by-step explanation:

simple maths