given list (10, 11, 12, 13, 14, 15), how many comparisons will be made during the third outer loop execution (i = 3)?

Congruent angles simply refer to those angles that are the same size.

The rules for congruent angles with parallel lines and transversal are that the angles must be:

1) Alternate Interior Angles

2) Alternate Exterior Angles

3) Corresponding Angles

4) Vertical Angles.

Now, let us check each option individually:

OPTION A: Angles 1 and 7

Angles 1 and 7 are alternate exterior angles.

Therefore, they are CONGRUENT.

OPTION B: Angles 3 and 5

Angles 3 and 5 are alternate interior angles.

Therefore, they are CONGRUENT.

OPTION C: Angles 4 and 6

Angles 4 and 6 are corresponding angles.

Therefore, they are CONGRUENT.

OPTION D: Angles 2 and 5

Angles 2 and 5 do not have any particular relationship with each other.

Therefore, they are NOT CONGRUENT.

Hence, OPTION D is correct.

The correct answer is

The expected value for the percent of all US adults who would say they smoked cigarettes is 22%

The expected value is arrived at by finding the product of a possible output and the probability that the output will occur and summing up the results. Expected value can be used for investment management to calculate options and make decisions most likely to bring about the desired gain. The random variable provides categorization of the outcomes of the game while the expected provides the probability of an outcome

In the above, the source of the sample is nationwide whereby 22 % said they smoked therefore it cannot be applied to a different population that has a different expected value for the same survey.

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The given question is not in proper form, The question is:

A recent Harris poll asked a random sample of 1016 adults nation-wide whether or not they smoked cigarettes. 22% said they smoked. Based on this sample, can you conclude that... the expected value for the percent of all adults world-wide who would say they smoked cigarettes is 22%? the expected value for the percent of students at UI who would say they smoked cigarettes is 22%? the expected value for the percent of professors at UI who would say they smoked cigarettes is 22%? the expected value for the percent of all US adults who would say they smoked cigarettes is 22%?

a.) The expected value for the percent of all adults world-wide who would say they smoked cigarettes is 22%?

b). The expected value for the percent of students at UI who would say they smoked cigarettes is 22%?

c). The expected value for the percent of professors at UI who would say they smoked cigarettes is 22%?

d). The expected value for the percent of all US adults who would say they smoked cigarettes is 22%?

Sarah's chocolate cake has 300 calories and 15 grams of fat. the percentage of calories from fat in Sarah's chocolate cake is 45%.

To calculate the percentage of calories that come from fat, we need to divide the number of fat calories by the total number of calories and then multiply by 100.

Since we know that 1 gram of fat contains 9 calories, we can calculate the number of fat calories by multiplying the number of grams of fat by 9.

Number of fat calories = 15 grams of fat * 9 calories/gram = 135 calories

Percentage of calories from fat = (Number of fat calories / Total calories) * 100

Total calories = 300 calories

Percentage of calories from fat = (135 calories / 300 calories) * 100

Percentage of calories from fat = 45%

Therefore, the percentage of calories from fat in Sarah's chocolate cake is 45%.

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The percentage of calories from fat in Sarah's chocolate cake is 45%. This calculation is based on the ratio of fat calories to total calories.

To find out the percentage of calories from fat in her cake, we need to divide the amount of total fat calories (15g x 9 calories/gram = 135 calories) by the total amount of calories in the cake (300 calories). We then multiply this ratio (135/300) by 100, which gives us the answer of 45%. Generally, it is recommended that a person's diet should not have more than 25-35% of its total calories from fat.

Therefore, Sarah's chocolate cake is too high in fat to be a part of a well- balanced diet. To reduce the amount of fat in her cake, she should either opt for a different cake recipe or use reduced-fat or low-fat ingredients when baking.

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Answer:

the third side is \(\sqrt{85}\)

Step-by-step explanation:

root 85 is already the simplest form

Answer:

I'm pretty sure it's D

Step-by-step explanation:

I could be wrong tho

Answer: 16 units

Step-by-step explanation:

In similar triangles, the sides keep the same ratio, in this case 3:4:5.

Thus, because 12 is 3*4 and 20 is 5*4, x must be 4*4, or 16.

Hope it helps <3 :D

We get the distance between the points (-6, 5) and (8, −3) as 16.12 units.

We are given the two points:

(-6, 5) and (8, −3).

We first need to find the distance between them.

We will do this by using the distance formula:

Distance² = (x₂ - x₁)² + (y₂ - y₁)² units

Distance² = (8 + 6)² + ( - 3 - 5)² units

Distance² = 14² + (-8)² units

Distance² = 196 + 64 units

Distance² = 260 units

Distance = √ 260 units

Distance = 16.12451 units

Now, we need to round it off to the two decimal places. So, we get the distance as:

Distance = 16.12 units.

Therefore, we get the distance between the points (-6, 5) and (8, −3) as 16.12 units.

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To determine the partial derivatives of f(x, y) = 2x * tan^(-1)(ry), we calculate the derivatives with respect to each variable separately.

1. fay: To find the partial derivative of f with respect to y (fay), we treat x as a constant and differentiate the term 2x * tan^(-1)(ry) with respect to y. The derivative of tan^(-1)(ry) with respect to y is 1/(1 + (ry)^2) * r. Thus, fay = 2x * (1/(1 + (ry)^2) * r) = 2rx/(1 + (ry)^2).

2. fry: To find the partial derivative of f with respect to r (fry), we treat x and y as constants and differentiate the term 2x * tan^(-1)(ry) with respect to r. The derivative of tan^(-1)(ry) with respect to r is x * (1/(1 + (ry)^2)) = x/(1 + (ry)^2). Thus, fry = 2x * (x/(1 + (ry)^2)) = 2x^2/(1 + (ry)^2).

3. fxy: To find the mixed partial derivative of f with respect to x and y (fxy), we differentiate fay with respect to x. Taking the derivative of fay = 2rx/(1 + (ry)^2) with respect to x, we find that fxy = 2r/(1 + (ry)^2).

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We can say that the points A (3, 2), B (-2, -3) and C (2, 3) form the vertices of a right angled triangle.

What is triangle?

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

We are given with the points A (3, 2), B (-2, -3) and C (2, 3).

Now, we have to check whether these vertices are the vertices of a triangle or not.

For that first we have to use the distance formula.\(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

\(AB = \sqrt{(-2-3)^2 +(-3-2)^2} = \sqrt{(25 + 25)} = \sqrt{50} = 5\sqrt{2}\)

\(BC = \sqrt{(2-(-2))^2 + (3-(-3))^2} = \sqrt{16 + 36} = \sqrt{52} = 2\sqrt{13} \\ AC = \sqrt{(2-3)^2 +(3-2)^2} = \sqrt{1 + 1} = \sqrt{2}\)

Consider,

\(AB^2 + AC^2 = (5\sqrt{2})^2 + (\sqrt{2})^2\\ AB^2 + AC^2 = 50 + 2\\ AB^2 + AC^2 = 52\\AB^2 + AC^2 = BC^2\)

The above equation satisfies the Pythagoras theorem which says that in a right angled triangle the square of the hypotenuse is the sum of the squares of its base and altitude.

Here, BC is the hypotenuse, AB is the altitude and AC is the base of the triangle ΔABC.

We know that Pythagoras theorem is only applicable for a right angled triangle.

Therefore, by Pythagoras theorem, we can say that the triangle ΔABC is a right angled triangle.

Hence, we can say that the points A (3, 2), B (-2, -3) and C (2, 3) form the vertices of a right angled triangle.

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Answer:

Step-by-step explanation:

The square root of a positive number cannot be negative.   False.  There are two square roots, one positive and one negative.

All positive numbers have two square roots.   True.  See above.

0 18 = 9 because 9(2) = 18.     Unable to answer; "0 81" is invalid.  Note that

√81 = ±9

49 = 7 because 7(7) = 49.  Invalid statement.  49 never equals 7.  Perhaps you meant √49 = ±7

25 = 5 because 52= 25.  Invalid statement.  Perhaps you meant √25 = ±5.

Please, before you do any more square root problems, learn how to type the  " √ " symbol or equivalent, such as "sqrt( "

Our students selected 50 residences at random. We discovered that owners live in 26 homes. By the way, we might use this to calculate our sample proportion. The result will be 26 out of 50 and.52. We're going to do an experiment to see if the proportion of owner-occupied homes in your neighbourhood is different from the national average using hypotheses.

The test result will be the null hypothesis. The true percentage being 69 is the null hypothesis. A distinct theory serves as the alternative. According to the inquiry, we are attempting to ascertain whether the community differs from the country. I will admit that 0.69 is not the true proportion. The test statistic must be located. Since this is an example Z test, we are able to use the calculator function in the tests. Sure, window. If we went to the tests and clicked the stat, we would find the single proportion Z. It's a test, really. The Christmas portion cost 69. We have 26 successes out of 50 samples. Since the genuine percentage is different from.69 in our alternative, proportion does not equal no proportion. Our final result will be a negative Z score of 2.599. We receive a p value of 9 from the window. We'll decide on a conclusion. We will contrast our significance level with the p value. It does not provide a relevance level for this issue. We'll only apply 5%. So, we would reject the null hypothesis if our p value is lower than the significance level, correct? Obtaining the sample proportion is necessary. If the null hypothesis is correct, it's a very uncommon occurrence, and we have evidence that the proportion of owner-occupied homes in our community is higher than the national average.

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Answer:

good luck bro lol

Step-by-step explanation:

Answer:

2. is right i think

4. is true i think hope this helps!

Step-by-step explanation:

i think

Answer:

They are not different

Step-by-step explanation :if you reduce 12/3 it will give you 4:1 Which is the same as 4:1 so....They are not different.

Answer:

$3.93

Step-by-step explanation:

6.55 / 5 = 1.31 each

1.31 x 3 = 3.93

To find the side lengths of a triangle using angles, you can employ trigonometric ratios like sine, cosine, and tangent

To find the side lengths of a triangle using angles, you can follow these steps:

Identify the given information: Determine which angles are known and which angles are unknown. Let's assume you have the measures of angles A, B, and C.

Apply the angle sum property: In a triangle, the sum of the interior angles is always 180 degrees. So, if you have the measures of two angles, you can find the measure of the third angle by subtracting the sum of the known angles from 180 degrees.

Determine the relationship between angles and side lengths: In a triangle, the lengths of the sides are related to the angles through the trigonometric ratios. The most common ratios are sine (sin), cosine (cos), and tangent (tan).

Use the trigonometric ratios: Depending on the given information, you can use the appropriate trigonometric ratio to find the side lengths. For example:

If you know an angle and the length of the side opposite to that angle, you can use the sine ratio: sin(A) = opposite/hypotenuse.

If you know an angle and the length of the adjacent side, you can use the cosine ratio: cos(A) = adjacent/hypotenuse.

If you know an angle and the lengths of the two sides that form that angle, you can use the tangent ratio: tan(A) = opposite/adjacent.

Solve for the unknown side lengths: Once you have the trigonometric equation involving an angle and side lengths, you can solve for the unknown side length using algebraic manipulations or a calculator.

Repeat these steps for the other angles to find the lengths of the remaining sides. Remember to consider the units of measurement (degrees or radians) and apply the appropriate trigonometric functions based on the given information.

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Answer:

Step-by-step explanation:

The y-intercept of the line passes through (12,-4) and (-6,10) is 32/6

Let (x1, y1) = (12, -4)

and (x2, y2) = (-6, 10)

Using the formula of the two-point form of equation of line,

(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)

(y + 4)/(10 + 4) = (x - 12)/(-6 - 12)

(y + 4)/14 = (x - 12)/(-18)

-18y -72= 14x - 168

-18y = 14x - 168 + 72

-18y = 14x - 96

y = -(14/18)x + 96/18

y = -7/9 x + 32/6

Comparing with slope-intercept form of line y = mx + b

y-intercept(b) = 32/6

Therefore, the y-intercept of the line passes through (12,-4) and (-6,10) is 32/6

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Answer:

221.87 feet

Step-by-step explanation:

Given that,

A 525 ft cable runs from the top of an antenna to the ground.

The angle of elevation made by the ground to the top of an antena 25°

We need to find the height of the antenna.

Using trigonometry,

Hypotenuse, H = 525 ft

θ = 25°

So,

\(\sin\theta=\dfrac{P}{H}\\\\P=H\sin\theta\\\\P=525\times \sin(25)\\\\P=221.87\ ft\)

So, the height of the antenna is equal to 221.87 feet.

Answer:

y=(x-5)^2 - 6

Step-by-step explanation:

Subtracting the 5 to the x moves the parabola 5 units to the right. Putting the -6 at the end moves the parabola down 6 units.

Answer:

\(y=\left(x-5\right)^{2}-6\)

Step-by-step explanation:

I graphed the original parabola and the new parabola on the graph below. I moved the original parabola down 6 and right 5.

Answer: 1.8 L/h

Step-by-step explanation:

To convert the rate of water dripping from a tap from millilitres per second (ml/sec) to litres per hour (L/h), we need to use conversion factors.

Step 1:

First, let's convert the rate from millilitres per second to litres per second.

There are 1000 millilitres in a litre, so we can divide the rate in millilitres per second by 1000 to get the rate in litres per second:

\(\LARGE \boxed{\textsf{0.5 ml/sec $\div$ 1000 = 0.0005 L/sec}}\)

Step 2:

We can convert the rate from litres per second to litres per hour. There are 3600 seconds in an hour, so we can multiply the rate in litres per second by 3600 to get the rate in litres per hour:

\(\LARGE \boxed{\textsf{0.0005 L/sec $\times$ 3600 = 1.8 L/h}}\)

Therefore, the rate of water dripping from the tap is 1.8 L/h.

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Your multiplying by -4 each time

-1x-4=4

4x-4=-16

-16x-4=64

\(\\ \bull\sf\longmapsto 250\times 35\%\)

\(\\ \bull\sf\longmapsto 250\times \dfrac{35}{100}\)

\(\\ \bull\sf\longmapsto 5\times \dfrac{35}{2}\)

\(\\ \bull\sf\longmapsto \dfrac{175}{2}\)

\(\\ \bull\sf\longmapsto 87.5\)

\(\bf \large \implies \: \frac{35}{100} \: \times \: 250 \\ \)

\(\bf \large \implies \: \frac{35}{10 \cancel0} \: \times \: 25 \cancel0\)

\(\bf \large \implies \: \frac { \cancel{35} \: \: ^{3.5} }{ \cancel{10}} \: \times \: 25\)

\(\bf \large \implies \: 3.5 \: \times \: 25\)

\(\bf \large \implies \: 87.5\)

Answer:

perpendicular lines

Step-by-step explanation:

these lines intersect and form a right angle. (90 degrees)

Answer:

4550.4 ?

Step-by-step explanation:

I'm not sure tho dddd

Answer:

x = -26 and y = 24.

Step-by-step explanation:

Multiply the second equation by 3 to get rid of the y variable:

-6x + 3y = 12

Add the two equations together, eliminating the y variable:

4x + 6y = 40

-6x + 3y = 12

-2x = 52

Solve for x:

-2x = 52

x = -26

Substitute the value of x into one of the original equations to solve for y:

4x + 6y = 40

4(-26) + 6y = 40

-104 + 6y = 40

6y = 144

y = 24

Therefore, the solution to the system of equations is x = -26 and y = 24.

The weighted average cost of capital (WACC) for company C is 6.63%.

The weighted average cost of capital (WACC) is a financial metric that represents the average rate of return a company must earn on its investments to satisfy its shareholders and creditors. It takes into account the proportion of debt and equity in a company's capital structure and the respective costs associated with each.

To calculate WACC, we need to consider the cost of debt and the cost of equity. The cost of debt is the interest rate a company pays on its debt, adjusted for taxes. In this case, the pre-tax cost of debt is 2% and the tax rate is 24%. Therefore, the after-tax cost of debt is calculated as (1 - Tax Rate) multiplied by the pre-tax cost of debt, resulting in 1.52%.

The cost of equity represents the return required by equity investors to compensate for the risk associated with owning the company's stock. Here, the cost of equity for company C is 6%.

The debt represents 10% of the total capital, while the equity represents the remaining 90%. To calculate the weighted average cost of capital (WACC), we multiply the cost of debt by the proportion of debt in the capital structure and add it to the cost of equity multiplied by the proportion of equity.

WACC = (Proportion of Debt * Cost of Debt) + (Proportion of Equity * Cost of Equity)

In this case, the calculation is as follows:

WACC = (0.10 * 1.52%) + (0.90 * 6%) = 0.152% + 5.4% = 6.552%

Therefore, the weighted average cost of capital (WACC) for company C is approximately 6.63%.

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Answer:

uh

Step-by-step explanation:

my guy, I DK.

Answer:

C

Step-by-step explanation:

As you can see, the dot on the line is the starting point and it is open.

An open dot means less than or more than. An closed dot means less than or equal to / more than or equal to.

The line is going right starting from -5, so it is more than 5.

Answer:

(x. y)=  (4,-6)

Step-by-step explanation:

Answer:

42/17 = 2 8/17

Step-by-step explanation:

Probability of pulling out a red crayon = 6/17

Probability of pulling out a blue crayon = 7/17

They are independent events:

6/17 x 7/17 = 42/17 = 2 8/17