For an equation 9-3x=21, the first step is
A. Subtract 9 from both sides
B. Add 9 to both the sides
C. Divide 2 on both the sides
D. None of these

Answer:

12:18

8:12

4:6

are the correct answers

Answer:

4:6, 8:12, 6:9

Step-by-step explanation:

First, we need to subtract the last payment from the last month's balance.

Then, apply the interest:

Answer:

The mean of the given set of numbers is 3.5

Step-by-step explanation:

We need to find the mean of following numbers:

8.9, 6.1, -4.8, 8.2, 2.7,-0.1

For calculating the mean the formula used is: \(Mean=\frac{Sum \ of \ all \ numbers}{Total \ numbers}\)

Finding sum of numbers:

\(Sum \ of \ numbers= 8.9+6.1-4.8+8.2+2.7-0.1\\Sum \ of \ numbers= 21\)

Total numbers = 6

So, mean is:

\(Mean=\frac{Sum \ of \ all \ numbers}{Total \ numbers}\\Mean=\frac{21}{6}\\Mean= 3.5\)

So, mean of the given set of numbers is 3.5

4x-8=-2x + 20

4x+2x= 20 + 8

6x=28

x=28 : 6

x= 4,6

Answer: -5 < x < 3

Step-by-step explanation:

That is the answer I got and I got it correct. I hope this helped mate!

The domain of the function whose graph is given is -5 < x < 3

A function in math is a rule or expression that defines a relationship between one variable (the input or independent variable) and another variable (the output or dependent variable).

Given that, is a graph of a function we need to find the domain of the function,

We know that,

The domain refers to the set of possible input values, hence the domain of a graph consists of all the input values shown on the x-axis.

Here the curve is drawn in between -5 to 3,

So, we can say that the domain is in between these points.

Hence, the domain of the function whose graph is given is -5 < x < 3

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The percentage of people who filed their taxes during the week of tax day is 10%

I can estimate how many people filed their taxes during the week of April 15th using a percentage of 100 is a/b * 100.

A percentage is a portion of a sum divided into 100 equal parts.

Calculate (Number of persons who submitted their taxes during the week of April 15th / total people who filed their taxes that year) times 100 to get the percentage of people who filed during that week.

Let :

a represents the total number of taxpayers during the week of April 15th.

b represents the total number of taxpayers for that year.

The original equation is reduced to

a/b× 100

As an illustration, 100 individuals submitted their taxes the week of April 15th and

Let's say that year, 1000 persons filed their taxes.

= 100/1000 = 10%

Thus, 10% of Americans submitted their taxes during the week of April 15th, or 100 out of 1,000.

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it helps to organize and categorize large amounts of information, making it more accessible and manageable. This organizational structure helps users to locate specific codes and information efficiently. indexing system True.

The National Codes index lists entries under one main term, which is usually a broad topic or subject area. Under each main term, there may be several subentries that provide more specific details or categories related to the main term. This type of indexing system allows users to quickly and easily find information related to a specific topic, without having to search through an entire document or database. Additionally, it helps to organize and categorize large amounts of information, making it more accessible and manageable.

In the index of the National Codes, entries are listed under one main term to ensure easy navigation and understanding of the content. This organizational structure helps users to locate specific codes and information efficiently.

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Answer:

Jesse will have $120.

Step-by-step explanation:

First you need to set up your equation. We know Jesse has $60 already and that he charges $15 per lawn. Your equation will look something like this:

15x+60=?

Then you plug in the 4 lawns he did:

15(4)+60=

Then you solve and get 120! :)

PS Parenthesis mean you are multiplying. Same thing as saying

15 x 4 + 60= 120

When two or more lines are parallel to each other, this implies that they do not meet even extending them till infinity. So the statement justifies the construction because only one line through point C can be constructed to be parallel to AB.

When a parallel line is constructed through a point to a given line, this is the only parallel line that can be drawn to the given line. Parallel lines are lines that will not meet at any point. Thus, only one parallel line can be constructed through a point not to a given line.

The construction of a line through C that is parallel to line AB is justified by the given statement in the theorem since this is the only parallel line to line AB that can be drawn through the point C. Any other line through C would intersect or meet line AB at a point when extended, thus would not be parallel to the given line.

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There are 4 moles of silver equivalent to 2.408 x 1024 atoms.

This can be determined through the use of Avogadro's number, which is the number of atoms or molecules in one mole of a substance. Avogadro's number is equal to 6.022 x 10^23 atoms/molecules per mole. By dividing the number of atoms by Avogadro's number, we can determine the number of moles. In this case, 2.408 x 1024 atoms / 6.022 x 10^23 atoms/mole = 0.04 moles. Since there are 4 moles in 1 mole of silver, this means that there are 4 moles of silver equivalent to 2.408 x 1024 atoms. This can be expressed as 4 mol Ag = 2.408 x 1024 atoms.

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Answer:

3

Step-by-step explanation:

The mode is the value that appears most often in a set of data. The mode of a discrete probability distribution is the value x at which its probability mass function takes its maximum value. In other words, it is the value that is most likely to be sampled.

Hope this helps!

Answer:

3

Step-by-step explanation:

The mode is the number in a set of data that appears most often.

The data set is:

2, 3, 6, 5, 4, 3, 4, 6, 3

Examine the data set. Count how many times each number shows up.

The number 2 shows up once.

The number 3 shows up three times.

The number 4 shows up twice.

The number 5 shows up once.

The number 6 shows up once.

The number 3 appears most often, at three times. Therefore, the mode of the data is 3.

Answer:

The answer is 5⁴/3¹⁰

Step-by-step explanation:

(5‐².3⁵)‐²

(5‐²×3⁵)‐²

(5)‐²*‐²×(3)⁵*‐²

5⁴×3‐¹⁰

5⁴

---

3¹⁰

Based on the provided question, it seems like you are asking about the most efficient evaluation method, either by hand or using a computer. To determine which method is the most suitable, you need to consider the complexity of the evaluation process and the number of alternatives.

Using a computer is generally faster and more accurate when dealing with large datasets or complex calculations. On the other hand, evaluating by hand may be more suitable for smaller datasets or simpler calculations. It can provide a more hands-on approach, allowing for a deeper understanding of the evaluation process. However, this method is generally more time-consuming and prone to human error.

To select the most appropriate evaluation method, consider the complexity of the task and the available resources. If the evaluation involves a large amount of data or complex calculations, using a computer would likely be the most efficient choice. However, if the task is relatively simple or involves a smaller dataset, evaluating by hand may suffice. In conclusion, the choice between evaluating by hand or using a computer depends on the complexity of the task and the available resources. Consider these factors to determine the most suitable method.

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Answer:

Area of diamond=8192

Area of trapezoid =72 square unit

Step-by-step explanation:

Area of diamond:

find the distance between the points:

(0,64), (64,0), (0,-64),(-64,0)

d=√(x2-x1)²+(y2-y1)²

d=√64²+64²

d=64√2=90.51( rounded to the nearest hundredth)

since it is shape of square then all sides are equal

A=length*width

A=64√2*64√2

4- Area of trapezoid= ((base a +base b)/2) h

base a=3, base b=6 height=8 ( from graph count the tiles)

Area of trapezoid = ((3*6)/2 )* 8

Area=18/2*8

Area=9*8=72 square unit

The area of a diamond is 8192 square units and the area of a trapezoid is 72 square units.

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.

The area of the diamond will be calculated as below:-

find the distance between the points:

(0,64), (64,0), (0,-64),(-64,0)

d=√(x2-x1)²+(y2-y1)²

d=√64²+64²

d=64√2=90.51( rounded to the nearest hundredth)

Since it is the shape of a square then all sides are equal

A=length x width

A=64√2 x 64√2

A=8192 square unit

The area of the trapezoid will be calculated as below:-

Area of trapezoid= ((base a +base b)/2) h

base a=3, base b=6 height=8 ( from graph count the tiles)

Area of trapezoid = ((3*6)/2 )* 8

Area=( 18/2 ) x 8

Area=9 x 8=72 square unit

Therefore, the area of a diamond is 8192 square units and the area of a trapezoid is 72 square units.

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By applying trigonometry to the given angles of elevation and distance, we can determine that the house's approximate height is 131.65 meters.

To find the height of the house, we can use trigonometry and apply the concepts of angles of elevation. Let's denote the height of the house as 'h'.

Given that the angle of elevation of the top of the house is 63° and the angle of elevation of the foot of the house is 60°, we can form a right triangle with the house, the rock, and the observer.

Let's consider the triangle formed by the observer, the foot of the house, and the rock. The angle of elevation of 60° is the angle between the line connecting the observer to the foot of the house and the horizontal ground. Therefore, in this triangle, the side opposite the angle of 60° is equal to the distance between the rock and the observer, which is 70 m.

Now, let's consider the triangle formed by the observer, the top of the house, and the rock. The angle of elevation of 63° is the angle between the line connecting the observer to the top of the house and the horizontal ground. In this triangle, the side opposite the angle of 63° is equal to the height of the house, which we want to find.

Using trigonometry, we can set up the following equation:

tan(63°) = h / 70.

To find the value of 'h', we can solve this equation:

h = 70 * tan(63°).

Using a scientific calculator, we can calculate:

h ≈ 70 * 1.880726.

Therefore, the height of the house is approximately 131.65 meters.

In summary, based on the given angles of elevation and the distance between the rock and the observer, the height of the house is approximately 131.65 meters.

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The equivalent expression for the new price of the item is 0.57b. With b be the original price of the item.

The original price of the item is represented by "b". Paul received a coupon for "43 percent" off one item at a clothing store. This means that the new price of the item will be the "original price" minus the discount. The discount is calculated by multiplying the original price by the percentage discount.
So, the discount is:
43 percent of b = 0.43 * b

The new price of the item is the original price minus the discount:
b - 0.43 * b = b - 0.43b

This expression can be simplified by combining the like terms. The like terms in this expression are b and -0.43b.
To combine like terms, we add the coefficients of the like terms:
1b + (-0.43)b = 0.57b

So, the equivalent expression for the new price of the item is:
0.57b

This means that the new price of the item is 57% of the original price. Therefore, the equivalent expression for the new price of the item is 0.57b.

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Yes, this fact would make you suspect that the loader had slipped out of adjustment.

If the average weight of the cars is below 85.5 tons, then the weight of some of the individual cars must have been lower than 85.5.

This suggests that the coal hadn't been evenly loaded into the cars, which could be an indication that the loader was out of adjustment.

Furthermore, low weights in some of the cars could also suggest that there was an issue with accuracy in the loader, as it might not have been loading the correct amount of coal per car.

Yes, this fact could make you suspect that the loader had slipped out of adjustment.

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Answer:

b=136, c=44, d=44

Step-by-step explanation:

B is the same measure as A. C = D and A+B+C+D=360; C+D=88; C=44; D=44

Answer:

The exact value of cos(45°) is √(2) / 2.

Step-by-step explanation:

Answer:

Answer:√2/2=cos45

√2/2×√2/√2=2/2√2

1/√2

Answer:  16x^2 - 40x + 25

Step-by-step explanation:

To formulate a system of equations for the situation, let's define some variables:so we cannot determine a unique solution without additional information or constraints.

Let x1 represent the number of nights Joan spent in Boston.

Let x2 represent the number of nights Joan spent in New York.

Let x3 represent the number of nights Joan spent in Philadelphia.

Let x4 represent the number of nights Joan spent in Washington.

Similarly, let y1, y2, y3, and y4 represent the number of nights Miguel spent in each respective city.

Based on the given information, we can write the following equations:

Equation 1: The total number of nights Joan and Miguel spent in Boston is 14.

x1 + y1 = 14

Equation 2: The total number of nights Joan and Miguel spent in New York is 14.

x2 + y2 = 14

Equation 3: The total number of nights Joan and Miguel spent in Philadelphia is 14.

x3 + y3 = 14

Equation 4: The total number of nights Joan and Miguel spent in Washington is 14.

x4 + y4 = 14

Now, we need to consider the additional given information:

Joan spent twice as many nights in Boston as in Philadelphia.

x1 = 2x3

Miguel spent three times as many nights in New York as in Washington.

y2 = 3y4

Now, we have a system of equations:

x1 + y1 = 14

x2 + y2 = 14

x3 + y3 = 14

x4 + y4 = 14

x1 = 2x3

y2 = 3y4

To solve this system of equations, we can substitute the value of x1 and y2 in terms of x3 and y4 into the other equations, and then solve for the variables.

By substituting x1 = 2x3 and y2 = 3y4 into the other equations, we can simplify the system of equations and solve for the variables. However, the values of x3, x4, y1, y3, and y4 are not given in the problem statement, so we cannot determine a unique solution without additional information or constraints.

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Sonia should pay approximately $12.13 to leave a 17% tip.

A method of calculating the sum of two or more numbers is multiplication. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious.

To calculate the tip amount, we can multiply the check amount by the tip percentage:

Tip amount = 10.37 * 0.17

Tip amount = 1.7639

Rounding to the nearest cent, the tip amount is approximately $1.76.

To find the total amount Sonia should pay, we add the tip to the check amount:

Total amount = 10.37 + 1.76

Total amount = 12.13

Therefore, for a 17% tip, Sonia will need to spend about $12.13.

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The solution to the equation 3(x-6) - 1/2(8x+10) = -25 is x = 2.

To simplify the equation 3(x-6) - 1/2(8x+10) = -25, we can start by applying the distributive property and then combining like terms.

First, let's distribute the 3 and the -1/2 to the terms inside the parentheses:

3(x-6) - 1/2(8x+10) = 3x - 18 - (4x + 5)

Now, let's simplify further by combining like terms:

3x - 18 - 4x - 5 = -x - 23

So, the simplified equation is -x - 23 = -25.

To solve for x, we can isolate the variable by adding 23 to both sides of the equation:

-x - 23 + 23 = -25 + 23

This simplifies to:

-x = -2

Finally, we can solve for x by multiplying both sides of the equation by -1:

(-1)(-x) = (-1)(-2)

This gives us:

x = 2

Therefore, the solution to the equation 3(x-6) - 1/2(8x+10) = -25 is x = 2.

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The p-value associated with the test statistic calculated to test the claim that less than 40% of the county residents are protected by earthquake insurance is 0.42

The term p - value is defined as a statistical measurement used to validate a hypothesis against observed data.

Here we have given that a survey revealed that only 133 of 337 randomly selected residences in one California county were protected by earthquake insurance.

Then the Null hypothesis for the given situation is written as,

=> H0 = p => 0.40

And the Alternative hypothesis is written as

=> H1 = p <0 .40

Then the value of za is calculated as,

=> za = 133/137

=> za = 0.39

Now by  using a formula for a binomial proportion one-sample z-test with your data included, we have

=> z = 0.39 - 0.40

Then the test value is calculated as

=> (0.39 - 0.40)/√[(0.40)(0.60)/337]

Therefore, the value of P-value is 0.42.

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Answer:

options 1 and 4. don't pick the others.

Step-by-step explanation:

The mean is the sum of these numbers = 16.86 / 6 = 2.81

2.55 is the mode; it repeats the most.

Put the numbers in order smallest to largest to find the median:

1.75, 2.55, 2.55, 2.91, 3.10, 4.00

We have 6 numbers so there's no middle number. So to get the median use the average of the two middle numbers. Our two middle numbers are 2.55 and 2.91. Add those together and divide by 2.

5.46/2 = 2.73

Your median is 2.73.

The mean is greater than the median. pick the first option.

Don't pick the second option bc the median is actually 2.73.

The mean is NOT less than the median so don't pick the third option.

The mode is 2.55. pick the fourth.

Answer:

762 raffle tickets

Step-by-step explanation:

16×9.32= 149.12

34×9.32= 316.88

3×9.32= 27.96

4×9.32= 37.28

add them all up= 531.24

531.24-150=381.24

381.24÷.50=762.48

answer: 762 raffle tickets

The RPE rank corresponding to a resting heart rate of 70 BPM is 10.

RPE rank corresponding to a resting heart rate of 70 BPM:

To determine the corresponding RPE rank for a resting heart rate of 70 BPM (beats per minute), we can use the RPE (Rate of Perceived Exertion) scale and its associated heart rate ranges.

The RPE scale is commonly used to subjectively measure exercise intensity. It ranges from 6 to 20, with higher values indicating greater perceived exertion. Each RPE rank corresponds to a specific heart rate range.

To find the corresponding RPE rank for a resting heart rate of 70 BPM, we need to match it with the appropriate heart rate range on the RPE scale.

A common formula to estimate maximum heart rate is 220 minus age. However, since we are dealing with a resting heart rate, we can assume that the person's age is not a factor in this scenario.

Looking at the RPE scale, an RPE rank of 9-11 corresponds to a heart rate range of approximately 70-85 BPM. Since the person's resting heart rate is 70 BPM, it falls within this range.

Therefore, the RPE rank that corresponds to a resting heart rate of 70 BPM would be around 9-11. Since we need to round to the nearest integer, the closest RPE rank is 10.

Hence, the RPE rank corresponding to a resting heart rate of 70 BPM is 10.

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The aim when choosing the model parameters:

Find the parameters that minimize he squared distances, in the y direction, from each point up/down to the regression line

The correct option is (b)

This is incomplete question

Complete question is this:

With a linear regression, what is the aim when choosing the model parameters (aka the slope and coefficient(s))?

Choose the correct option:

Now, According to the question:

Hence, The aim when choosing the model parameters:

Find the parameters that minimize he squared distances, in the y direction, from each point up/down to the regression line

The correct option is (b).

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Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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