Which construction uses the compass for only one step in addition to drawing the circle itself

Answer:

120

Step-by-step explanation:

The best advice for Fiona is that she should reflect and see if there is anything she can improve on.

So, the correct answer is D.

While Fiona has met her exercise goal for six months, it's important to continue to assess and make adjustments to her routine to ensure she is challenging herself appropriately and meeting her health goals.

Reflecting on her progress can also help her identify any areas where she may need additional support or resources.

Therefore, it's important for Fiona to not become complacent and continue to reflect on her progress and make necessary changes to maintain her healthy habits.

Hence the answer of the question is D.

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According to the unitary method, the store that has the best deal is Store 1 and it cost $202.18

The term unitary method is known as a process of finding the value of a single unit, and based on this value.

Here we have the original prices of the rugs are as follows:

Store #1: $289

Store #2: $265

Store #3: $310

And the discount on each store is written as,

Store #1: 20% (decrease)

Store #2: 12%(decrease)

Store #3: 30%(increase)

And the tax details are given as,

Store #1: 8%

Store #2: 8%

Store #3: no tax.

Then the shipping and the handling charges is $5.9

Then the price for each of the store is calculated as,

=> Store 1 = 289 - [(289 x 0.20) + (289 x 0.08) + 5.9] = 202.18

=> Store 2 = 265 - [(265 x 0.12) + (265 x 0.08) + 5.9] = 206.1

=> Store 3 = 310 + (310 x 0.30) - 5.9 = 397.1

Therefore, the store 1 provides the best deal on the rug.

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Overall, while the use of volunteers does not automatically make the study invalid, it is important to carefully consider probability of bias and take steps to minimize them in the study design and analysis.

The use of volunteers in this study does not necessarily make it invalid, but it could introduce potential sources of bias. Volunteers may not be representative of the larger population of individuals with painful diabetic neuropathy, as they may be more willing to participate in the study or may have different levels of disease severity or other factors that could affect their response to treatment.

Additionally, the random assignment of participants to the gabapentin or placebo group helps to minimize bias, but there is still a possibility of confounding variables that could influence the results. For example, if individuals who were assigned to the gabapentin group were more likely to adhere to the treatment regimen or had more social support, this could influence the outcome of the study independent of the drug's effectiveness.

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Answer:

Simplified: 6/6

3/1 x 2/6

Step-by-step explanation:

Answer:

6/6 because if you put 1 under 3, 3x2=6 and 6x1=6

Step-by-step explanation:

Answer:

{1,1,2,2,4,4,8,8}

Step-by-step explanation:

In Finding The Factor Of A Number You Need To Find A multiplication of Two Numbers That Gives The Product 8.

•So keeping this in mind you can make multiples of numbers which has an outcome of 8. So;

1×8=8 {So 1 is a factor of 8 and note that any number multiplied by 1 is the number itself}

2×4=8{Two multiplied by four is going to give you 8 that's why it's a factor of 8}

3×?=8{There is no number which can be multiplied by 3 which has it's outcome as 8 so 3 isn't a factor}

4×2=8{4 multiplied by 2 is the same as 2 multiplied by 4 so you can see that when you multiply two numbers and it has it's product as 8 those two numbers that you multiplied to get the 8 is a factor of 8}

5×?=8{With the number 5 you can see that there is no number which can be multiplied by 5 which has its outcome as 8 so 5 is not a factor of 8}

6×?=8{With the number 6 you will not get any number which can be multiplied by 6 to give you 8 so 6 isn't a factor of 8}

7×?=8{With the number 7 too you won't get any number to be multiplied by 7 which is going to give you 8 that's why it isn't a factor of 8}

8×1=8{With the number 8 you can clearly see that when 8 is multiplied by 1 the product is 8 so that makes it its factor}

After finding the multiplication of Two Numbers that are going to give you 8, you can conclude that you have found the factors of 8 and note that any number above 8 can't be a factor of 8.

So we can conclude that the Factors of 8 are;

{1,2,4,8}

Answer:

Juan ate 5/8 his little brother ate 3/8

Step-by-step explanation:

Answer:

juan = 5/8

brother = 3/8

The value of all the missing angles of the triangle are;

m∠PRQ = 78°

m∠RPQ = 30°

m∠PQR = 72°

m∠PRS = 39°

m∠RPS = 15°

m∠PQS = 36°

m∠PSR = 126°

The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle.

Now, the sum of angles in a triangle is equal to 180 degrees. We are given;

m∠PRQ = (8x - 10)°

m∠RPQ = (4x - 14)°

m∠PQR = (7x - 5)°

Thus;

(8x - 10) + (4x - 14) + (7x - 5) = 180

19x - 29 = 180

19x = 209

x = 209/19

x = 11

Thus;

m∠PRQ = (8(11) - 10)° = 78°

m∠RPQ = (4(11) - 14)° = 30°

m∠PQR = (7(11) - 5)° = 72°

By the definition of incenter of a triangle, we can say that;

m∠PRS = 78°/2 = 39°

m∠RPS =  30°/2 = 15°

m∠PQS = 72°/2 = 36°

Similarly;

m∠PSR = 180 - (m∠RPS + m∠PRS)

m∠PSR = 180 - 54

m∠PSR = 126°

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Variable: Highest educational degree completed

Type of variable: Categorical

Level of measurement: Ordinal

Variable: Price (in dollars) of a shirt on the clearance rack

Type of variable: Quantitative

Level of measurement: Ratio

Variable: Temperature (in degrees Celsius)

Type of variable: Quantitative

Level of measurement: Interval

The variable "Highest educational degree completed" is a categorical variable because it represents different categories or levels of education. The categories include less than a high school diploma, high school diploma, two-year college degree, four-year college degree, and graduate degree. It is considered an ordinal level of measurement because there is a clear order or ranking among the categories, indicating a progression of education.

The variable "Price (in dollars) of a shirt on the clearance rack" is a quantitative variable because it represents a numerical measurement of the price. It can take on different values and can be measured and compared numerically. It is a ratio level of measurement because it has a meaningful zero point (i.e., the absence of price) and allows for ratios to be calculated (e.g., one shirt is twice the price of another).

The variable "Temperature (in degrees Celsius)" is also a quantitative variable as it represents a numerical measurement of temperature. It is measured on a continuous scale and can take on different values. It is an interval level of measurement because it does not have a true zero point (i.e., zero degrees Celsius does not represent the absence of temperature) and only allows for comparisons of differences in temperature.

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In summary, 'Highest educational degree completed' is a categorical, ordinal variable, 'Price (in dollars) of a shirt on the clearance rack' is a quantitative, ratio variable, and 'Temperature (in degrees Celsius)' is a quantitative, interval variable.

The first variable, 'Highest educational degree completed', would be considered a categorical variable, with an ordinal level of measurement because the categories have a specific order that matters. Degrees can be ranked in a specific order from least to most education.

The second variable, 'Price (in dollars) of a shirt on the clearance rack', is a quantitative variable, measured at a ratio level. This is because the price of a shirt represents a numerical value and ratio level of measurement is used when there is a defined 'zero' point, like $0.

Lastly, the 'Temperature (in degrees Celsius)' variable is also quantitative, with an interval level of measurement. The temperature represents actual numerical values, and intervals between temperatures are meaningful and the same size, but there is not a true zero point (0 degrees Celsius does not mean 'no temperature').

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The line which contains the points (4,0) and (0,-2), value of y when x =3 is,  -1/2

The equation of a straight line is a relationship between x and y coordinates, The two point form of a straight line is y-y₁ =  y₂-y₁/x₂-x₁(x-x₁).

Given that,

The points, (4,0) and (0,-2)

Equation of line for given two points,

y-y₁ =  y₂-y₁/x₂-x₁(x-x₁)

y-0 =  -2 - 0/0-4(x-4)

y = 1/2(x - 4)

2y = x - 4

when x = 3,

y =  1/2(3 - 4)

y = - 1/2

Hence, the value of y is -1/2

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No, it does not follow that nabc _ nedc.

given that ∠a _ ∠e and bc _ dc.The statement given in the question is that ∠a _ ∠e and bc _ dc.

We need to find out whether it follows that nabc _ nedc from the given statement. Method used in reaching the conclusion. The method used in reaching the conclusion is the Angle-side-angle similarity theorem. Here, we have two angles and a side of one triangle equal to two angles and a side of another triangle. It does not prove that the third side of the first triangle is proportional to the third side of the second triangle.

Supporting Answer : The angle-side-angle similarity theorem states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. It is abbreviated as ASA similarity. In the given statement, ∠a _ ∠e and bc _ dc, these equal angles and sides are not sufficient to prove the similarity of the triangles. If the statement was such that the ratio of corresponding sides was equal, then we could have proved similarity. However, the statement does not provide any information about the proportionality of the sides. Therefore, we cannot conclude that nabc _ nedc.

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As the derivation is symmetric in u and v. So,

Let u=

−1/3+5√6/36 and v=

−1/3−5√6/36

While for f(x) =0, the roots are

x₁=u+v

x₂=ωu+ω²v

x₃=ω²u+ωv

where ω=−1/2+i√(3)/2, so here x₁ is the real root for the function f(x)=0, and x₂ and x₃ are a pair of complex conjugate roots.

Hence, f(x)=6(x−x₁)(x−x₂)(x−x₃)

and 12x⁵+6x³+8x²=12x²(x−x₁)(x−x₂)(x−x₃)

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When b is 3, the value of the expression \(2b^3 + 5\) is 59.

To evaluate the expression\(2b^3 + 5\) when b is 3, we substitute the value of b into the expression and perform the necessary calculations.

Given that b = 3, we substitute this value into the expression:

\(2(3)^3 + 5\)

First, we evaluate the exponent, which is 3 raised to the power of 3:

2(27) + 5

Next, we perform the multiplication:

54 + 5

Finally, we add the two terms:

59

Therefore, when b is 3, the value of the expression \(2b^3 + 5\) is 59.

In summary, by substituting b = 3 into the expression \(2b^3 + 5\), we find that the value of the expression is 59.

It's important to note that the provided equation has multiple possible solutions for x, but when b is specifically given as 3, the value of x is approximately 3.78.

It's important to note that in this equation, we substituted the value of b and solved for x, resulting in a specific value for x. However, if we wanted to solve for b given a specific value of x, we would follow the same steps but rearrange the equation accordingly.

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The solution to the equation given as √|x|² = x is x ≥ 0

From the question, the representation of the equation is given as

√|x|² = x

To start with;

We evaluate the square root expression in the equation

So, we have the following representation

|x| = x

The above implies that the absolute value of a number equals the number

As a general rule of absolute values, the absolute value of a number is positive

This can be represented as

x ≥ 0

Hence, the solution to the equation is x ≥ 0

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Answer:

Linear equations are an important tool in science and many everyday applications. They allow scientist to describe relationships between two variables in the physical world, make predictions, calculate rates, and make conversions, among other things. Graphing linear equations helps make trends visible.

Answer: Linear equations are an important tool in science and many everyday applications. They allow scientist to describe relationships between two variables in the physical world, make predictions, calculate rates, and make conversions, among other things. Graphing linear equations helps make trends visible.

Step-by-step explanation:

Answer:

15 1/6

Step-by-step explanation:

change -8 2/3 into an improper fraction = -26/3

-4/7v = -26/3

cross-multiply:

3(-4v) = (-26)7

-12v = -182

v = 182/12

v = 15 1/6

As a Senior Surveyor planning a Side Scan operation in search of an object in 200 meters of water, there are several important factors to consider. Here are the key considerations that should be communicated to the officer-in-charge of the boat:

1. Object characteristics: Gather information about the object you're searching for, including its size, shape, and material composition. This will help determine the appropriate sonar frequency and settings to use during the Side Scan survey.

2. Bathymetry: Obtain accurate bathymetric data for the survey area to understand the water depths, contours, and potential obstacles. This information is crucial for planning the survey lines, ensuring safe navigation, and avoiding any hazards.

3. Side Scan sonar equipment: Assess the capabilities and specifications of the Side Scan sonar system to be used. Consider factors such as the operating frequency range, beam width, and maximum range. Ensure that the equipment is suitable for the water depth of 200 meters and can provide the required resolution for detecting the target object.

4. Survey area and coverage: Determine the extent of the search area and establish the coverage requirements. Plan the survey lines, considering the desired overlap between adjacent survey lines to ensure complete coverage. Account for any factors that may affect the survey, such as current conditions, tidal movements, or known features in the area.

5. Survey vessel and navigation: Assess the capabilities and suitability of the survey vessel for the Side Scan operation. Consider factors such as stability, maneuverability, and the ability to maintain a steady course and speed. Ensure the vessel is equipped with accurate navigation systems, such as GPS and heading sensors, to precisely track the survey lines.

6. Environmental conditions: Consider the prevailing weather conditions, such as wind, waves, and visibility. Ensure that the operation can be conducted safely within the given weather window. Additionally, be aware of any environmental regulations or restrictions that may impact the survey.

7. Data processing and analysis: Plan for the post-survey data processing and analysis, including the software and tools required to interpret the Side Scan sonar data effectively. Determine the desired resolution and sensitivity settings to optimize the chances of detecting the target object.

8. Safety and emergency procedures: Communicate the necessary safety precautions and emergency procedures to the officer-in-charge, ensuring the crew is aware of potential risks and how to mitigate them. This includes safety equipment, communication protocols, and emergency response plans.

By considering these factors and effectively communicating them to the officer-in-charge, you can help ensure a well-planned Side Scan operation in search of the object in 200 meters of water.

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Answer:

Step-by-step explanation:

2.8 × (-11) - 3 × 8 =

-30.8 - 24 =

-54.8 ( in fraction -274/5)

The equation for the relationship between x and y is y=5x and by the analysis of the graph, the constant of proportionality is 5.

By analyzing the graph given we can infer that  If four rooms are reserved, he must provide twenty towels.

So x is the number booked and y is the number of towels, Then x is directly proportional to y,

The given graph is linear in nature, as we increase x, there will be a significant increase in y, The constant of proportionality(k) tells us how much y will change when x changes.

The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality. The constant of proportionality may also be referred to as the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.

Now, 20= k *4

k=20/4

k=5

Hence, the constant of proportionality k is 5.

and the equation of the given graph is y = 5x

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Answer:

Step-by-step explanation:

if the angles form a linear pair, that means their sum=180

10x-63+8x=180

18x=180+63

x=243/18=13.5  choice c

Answer:

120%

Number × 100 = Percentage

1.20 × 100 = 120%

The mixed number 1 1/20 can be expressed as 105 percent. You can find this value by dividing the numerator by the denominator, summing this value to the integer part and multiplying the result by 100%, so: 1 1/20 in percent = (1 + 1/20) × 100% = 105

Thus, the answer is 105

Answer:

non of these choice are correct

Step-by-step explanation:

288.09-43.15+100.00-24.10 = 320.84

Answer:

The distance between (-3, -4) and (5, 5) is 12.

Step-by-step explanation:

Between 1 and 1990, there are 2,475 integers for which the improper fraction (n^2 * 7) / (n * 4) is not in its lowest terms.

To determine when the fraction is not in lowest terms, we need to find values of n for which the numerator and denominator share a common factor greater than 1. Simplifying the fraction, we get (n * 7) / 4. For the fraction to be in lowest terms, n and 4 must be coprime, meaning they have no common factors other than 1. To find the values of n that violate this condition, we need to identify the multiples of 4 within the range 1 to 1990. There are 497 multiples of 4 in this range. However, since we are looking for values of n, we need to subtract 1 to exclude the multiple 0, yielding 496. Therefore, there are 496 values of n that do not satisfy the coprime condition. Subtracting this from the total number of integers in the range (1990 - 1 = 1989), we find that 1989 - 496 = 1493 integers yield the fraction in lowest terms. Finally, subtracting this number from the total number of integers (1990 - 1), we find that 1990 - 1493 = 497 integers give the fraction (n^2 * 7) / (n * 4) in lowest terms.

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Answer & Step-by-step explanation:

(5√2 - 4√3)(5√2 - 4√3)

We can rewrite this equation into a more simpler form.

(5√2 - 4√3)²

Now, we multiply. When multiplying, its important we multiply each term instead of combining them together.

When you multiply a radical by itself, then the base number will be by itself as the product.

So......

(5)² = 25

(4)² = 16

(√2)² = 2

(√3)² = 3

So, now the equation looks like this..

(25 * 2) + (16 * 3)

Multiply the terms.

50 + 48

Add the numbers.

50 + 48 = 98

So, your answer will be answer choice D. The radical in choice D represents the radicals that are in the problem multiplied together.

Area of the room is found by multiplying 19 feet with 16 feet (the dimensions).

Thus,

Area of Room

19 * 16 = 304

To find the number of people we can accomodate, we can use the following equation:

Number of People = Area of Room/ Area every person occupies

It is given that 13 square feet is the LEAST space someone needs. They can take more. So, to maximize the number of people, we have to minimizei the area.

The least area is 13 sq feet, so let's divide:

Number of People = 304/13 = 23.38

We can't accomodate fractional people(!), so the answer is 23 people.

Answer (max people):

Answer: ↓↓↓

Step-by-step explanation:

∠y and 86 are same-side interior angles / linear pairs so they are supplementary

∠y + 86° = 180°

∠y = 94°

∠x and ∠y are same-side exterior angles so they're also supplementary

∠x + ∠y = 180°

∠x + 94 = 180

∠x = 86°

Another way to find ∠x:

∠x and m∠86 are alternate exterior angles so they are congruent.

∠x ≅ 86

∠x = 86°

Hope that helped! Have a great day!

If x is reduced by 1/3, 3x will be reduced by 1/3 x 3 = 1

Because y = 3x, y will also be reduced by 1.

Answer:

An open circle on 2, with a line going to the left.

Step-by-step explanation:

7x − 5 < 9

   + 5  + 5

7x < 14

/7    /7

x < 2

This is an open circle on 2, with a line going to the left.

Hope that helps!