What are the characteristics of section lines?
If the object’s main edges itself are at _________ then you can use lines drawn at 30 or 60 degree. The spacing should be uniform __________ ranging from depending on the size of the drawing.

First onee

A. 90 degrees
B. 40 degrees
C. 180 degrees


Second onee

A. 1.5mm to 6mm
B. 2.5mm to 3mm
C. 0.5 mm to 1.5mm

It should be noted that to discover the required sample size for an x-bar chart, you must first determine the values of the upper and lower control limit (UCL & LCL) based on the process descriptions and the desired level of restriction.

The equations for UCL and LCL are:

UCL = x + A2R

LCL = x - A2R

Where x denotes the average of the mean samples, R represents the ambit of the means, and A2 stands for a constant value rooted in the amount of the sample..

Utilizing these values, then one can apply the formulas of UCL & LCL to solve for the constant A2,  which is utilized to calculate the boundaries of the chart.

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The net income from the given income statement is $7,440. This is calculated by subtracting the overhead expenses from the gross profit.

To calculate the net income, we need to subtract all expenses from the gross profit.

First, we need to calculate the Net Sales by subtracting the Sales Returns of $360 from the Sales of $12,800

Net Sales = Sales - Sales Returns

Net Sales = $12,800 - $360

Net Sales = $12,440

Next, we can calculate the Gross Profit by subtracting the Cost of Goods Sold (COGS) from the Net Sales

Gross Profit = Net Sales - COGS

Gross Profit = $12,440 - $2,500

Gross Profit = $9,940

Now, we can calculate the Net Income by subtracting the Overhead expenses from the Gross Profit

Net Income = Gross Profit - Overhead

Net Income = $9,940 - $2,500

Net Income = $7,440

Therefore, the net income from the given income statement is $7,440.

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The mass of the sample before one hour is negative 7.

Given that:

Mass of the first sample, m₁ = 8x + 1

Mass of the second sample, m₂ = 2x - 5

In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.

The number of hours when the mass of the samples is the same. Then we have

m₁ = m₂

8x + 1 = 2x - 5

6x = - 6

x = - 1

The mass of the sample before one hour is calculated as,

m₁ = 8(-1) + 1

m₁ = - 8 + 1

m₁ = - 7

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The LSA of prism is  157  square feet.

The TSA of prism is  169.738  square feet

We have,

Height = 10 feet

Area of base = 20 square feet

So, area of pentagonal base = 1/4 √5 (5 + 2√5) a²

20 = 1/4 √5 (5 + 2√5) a²

a = 3.14

Now, LSA of prism

= 5bh

= 5(3.14)(10)

= 157  square feet

and, TSA of prism

= 5 x 2(20)/ 15.7  + 157

= 169.738 square feet

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Answer:

Step-by-step explanation:

185

The particular number from the given equation is 10.

Given that, 120 was divided by a particular number.

Let the particular number be x.

Here, 120/x

7 was taken from the quotient

120/x -7

The  difference was multiplied by 5.

5(120/x -7)

Giving a product of 25

5(120/x -7)=25

120/x -7=5

120/x=12

120=12x

x=120/12

x=10

Therefore, the particular number from the given equation is 10.

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The requreid match of each conic section has been shown below.

For a general quadratic polynomial of the form Az² +By+Cz+Dy+E=0

Ellipse: A and B have different signs.

Parabola: A = 0 or B = 0, but not both.

Circle: A and B have the same value, and this value is not zero.

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The graph of the rational function is attached in the solution.

Given is a rational function we need to graph it,

h(x) = [tex]\frac{2x}{x^2-2x+1}[/tex]

So,

Finding the coordinates by putting the values of x and finding the corresponding values of h(x), the plot them on the graph and join, the curve obtained will be the graph of the function.

Hence, the graph is attached.

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The test Statistic and the critical value is 20.692 and 15.308 respectively.

Given that,

Null and Alternative hypothesis,

Null hypothesis: H₀ = 5.7

and Alternative hypothesis: H₁ < 5.7

∴

Test Statistic =

x² = (n-1)s²/σ², where s is the standard deviation = 4.9 and n sample size = 29,

= 28 × 4.9² / 5.7²

= 20.692

The critical value of the left tailed test at significance level 0.025 and df = 28,

x²(critical) = x²(1-α), (n-1) = x²(0.975, 28)

= 15.308

Hence, the test Statistic and the critical value is 20.692 and 15.308 respectively.

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Eli's statement is incorrect. Since $10 is greater than $5, we cannot round $110 to $100 when rounding to the nearest 10.  

To determine if Eli is correct, we need to add the amount of cash he has with the value of his gift card;      

$38 + $72 = $110

Since Eli says that he has about a $100 when he rounds to the nearest 10, we need to check whether $110 rounds to $100 or not. To round to the nearest 10, we look at the last digit of the number, which is 0 in this case. If the last digit is 5 or greater, we round up to the next multiple of 10. If the last digit is less than 5, we round down to the previous multiple of 10.

Since the last digit of $110 is 0, we don't need to round up or down. $110 is already a multiple of 10. Therefore, Eli is incorrect in saying that he has about a $100 when he rounds to the nearest 10. He actually has $110.  

Alternatively, we can check if $110 is within $5 of $100, which is the threshold for rounding to the nearest 10.

$110 - $100 = $10

Therefore, Eli's statement is incorrect.

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Step-by-step explanation:

r = 4 m

d = 2 × r

d = 2 × 4

d = 8 m = s

Area of square = s × s

= 8 × 8

= 64 m²

Area of circle = πr²

= 3.14 × 4 × 4

= 50.24²

Area of colored region = A. Square - A. Circle

= 64 - 50.24

= 13.76 m²

The function represents an exponential growth.

A general exponential function can be written as:

y = A*(1 + r)^x

Where A is the initial value and r is the rate of change, and if r > 0 we have a growth, if -1 < r < 0 we have a decay.

Here f(x) = 465(1 + 0.003)^x is the population function, we can see that the value of r is positive, thus, the function is an exponential growth.

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The statement "It turns through one-twentieth of a circle" is accurate. Then the correct option is C.

Given that:

Rita draws an angle with a measure of 20 degrees.

An angle is a unit of rotation created when two rays share the same vertex or endpoint. Since an angle is a measurement of rotation, it may also be measured in degrees. A circle has 360 degrees of arc.

360 degrees is the length of a circle's complete rotation. The rotation of one-twentieth (1/20) of a full revolution, or one-twentieth of a circle, is equivalent to a measurement of 20 degrees.

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The number is given as follows:

x = -3.

The variable representing the number is given as follows:

x.

The product of 3 and the number is given as follows:

3x.

Twenty less than the product of 3 and the number is:

3x - 20.

The entire expression is equivalent to -29, hence the value of x, representing the number, is obtained as follows:

3x - 20 = -29

3x = -9

x = -3.

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Originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

Originality refers to the quality of being unique, new, and innovative. It involves creating something that has not been seen or experienced before. The best description of originality is that it is having a low probability and being unique.

An original idea, product, or work of art is something that has not been copied or imitated from others. It represents a new perspective or approach that can offer a fresh insight into a problem or challenge. Originality requires a high level of creativity, imagination, and inspiration, as well as a willingness to take risks and explore new possibilities.

Nonobviousness is also an important factor in originality. It means that the idea or invention is not something that would be obvious to someone skilled in the same field or industry. In other words, an original idea should not be something that could be easily predicted or anticipated.

Special or interesting are also characteristics of originality, but they are not sufficient to define it. An idea or product can be special or interesting without being truly original. For example, a new flavor of ice cream may be interesting, but it may not be original if it has already been created by someone else.

Convergent thinking, on the other hand, involves finding a single solution to a problem. It is the opposite of divergent thinking, which involves generating multiple ideas and possibilities. Convergent thinking is important for finding effective solutions to problems, but it is not the same as originality.

In conclusion, originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

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The estimated regression equation for these data is ŷ = 0.69x + 2.15

From the question, we have the following parameters that can be used in our computation:

Observation 1 2 3 4 5 6 7 8 9

xi 2 3 4 5 7 7 7 8 9

yi 4 5 4 6 4 6 9 6 11

Using a graphing tool, we have the following calculation summary

Regression Equation: ŷ = bX + a

Where

b = SP/SSX = 31.22/45.56 = 0.68537

a = MY - bMX = 6.11 - (0.69*5.78) = 2.15122

So, we have

ŷ = 0.68537x + 2.15122

Rounding the numerical values to two decimal places, we have

ŷ = 0.69x + 2.15

Hence, the estimated regression equation for these data is ŷ = 0.69x + 2.15

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Answer:

Balance Sheet:

Cash Assets ($)

Checking account: $2,000

Liabilities ($)

Student loans: $10,000

Credit card(s) balance(s): $500

Total Assets: $2,000

Total Liabilities: $10,500

Net Worth: Total Assets - Total Liabilities

Net Worth: $2,000 - $10,500

Net Worth: -$8,500

Therefore, Rosa's total assets are $2,000, her total liabilities are $10,500, and her net worth is -$8,500. This indicates that her liabilities exceed her assets, and she has a negative net worth.

The exact values of x for x² - 8x - 5 = 0 are x = 4 + √21 or x = 4 - √21

To solve for x in the equation x² - 8x - 5 = 0, we can use the quadratic formula, which is:

x = (-b ± √(b² - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation ax² + bx + c = 0.

Using this formula, we can identify the values of a, b, and c in the equation x² - 8x - 5 = 0.

Here, a = 1, b = -8, and c = -5.

Substituting these values into the formula, we get:

x = (-(-8) ± √((-8)² - 4(1)(-5))) / 2(1)

Simplifying this expression, we get:

x = (8 ± √(64 + 20)) / 2

x = (8 ± √84) / 2

Now, we can simplify the square root of 84 as 2√21:

x = (8 ± 2√21) / 2

We can further simplify this expression by factoring out 2 from the numerator:

x = 2(4 ± √21) / 2

Canceling out the 2s, we get:

x = 4 ± √21

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____________________________________

____________________________________

Answer: 49.2 feet

Step-by-step explanation:

The given equation h = -16t^2 + 56t represents the height of a football kicked by Lauren as a function of time t in seconds.

In the context of the problem, the vertex of the parabolic function (-16t^2 + 56t) represents the point at which the football reaches its maximum height. The vertex of a parabola is the point where the function reaches its highest or lowest value, and it is given by the coordinates (h, t) in this case.

Interpreting the coordinates of the vertex in context, the h-coordinate represents the maximum height of the football, while the t-coordinate represents the time at which the football reaches that maximum height. So, if we determine the vertex of the given function, we can interpret the maximum height and the time it occurs.

The formula for the x-coordinate (t) of the vertex of a quadratic function in the form y = ax^2 + bx + c is given by t = -b/2a. Comparing this with the given equation, we can identify that a = -16 and b = 56.

Plugging in the values of a and b into the formula, we get:

t = -56 / (2 * -16)

t = -56 / -32

t = 1.75

So, the t-coordinate of the vertex is 1.75 seconds, which represents the time at which the football reaches its maximum height.

To find the h-coordinate of the vertex, we can substitute the value of t we found (1.75) into the given equation:

h = -16(1.75)^2 + 56(1.75)

h = -16(3.0625) + 98

h = -48.8 + 98

h = 49.2

So, the h-coordinate of the vertex is 49.2, which represents the maximum height of the football in feet.

In conclusion, the coordinates of the vertex (49.2, 1.75) in the given context represent the maximum height (49.2 feet) of the football and the time (1.75 seconds) at which the football reaches its maximum height after being kicked by Lauren.

The numerical expression 4√5 in the rational exponents will be [tex]4\cdot \left ( 5 \right)^\frac{1}{2}[/tex].

Given that:

Numerical expression: 4√5

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The expression is also written as,

[tex]\rightarrow 4 \sqrt5\\\\\rightarrow 4 \cdot \left ( 5 \right)^\frac{1}{2}[/tex]

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The result of carrying out the addition operation on the given fractions, 9/-8 + -2/5, is -61/40.

From the question, we are to determine the sum of the given fractions

From the given information,

The fraction are 9/-8 and -2/5

We are to carry out the addition operation on the fractions

The addition operation can be carried out on the fractions as follows:

9/-8 + -2/5

First, find the LCM of 8 and 5

The LCM of 8 and 5 is 40

Then,

We can write that

(-45 + -16)/40

= (-45 - 16)/40

= (-61)/40

= -61/40

Hence, the result of adding the fractions is -61/40

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The linear function is solved and the output is y = -3n + 8

Given data ,

Let the linear function be represented as A

Now , the value of A is

The table of inputs = { 1 , 2 , 3 , 4 , n }

The table of outputs = { 5 , 2 , -1 , -4 , a }

So , the first point is P ( 1 , 5 ) and second point is Q ( 2 , 2 )

Slope m = ( 5 - 2 ) / ( 1 - 2 )

m = -3

And , the equation of line is y - 5 = -3 ( x - 1 )

Adding 5 on both sides , we get

y = -3x + 8

Now , when the input is n , the output is

y = -3n + 8

Hence , the equation is y = -3n + 8

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Answer: C. Stephanie who is buying a new vehicle and has a FICO score of 780.

Step-by-step explanation: The Annual Percentage Rate (APR) is the interest rate charged on a loan.  Lenders consider various factors when determining the APR, including the borrower's credit score and the type of vehicle being financed.

In this scenario, Stephanie has a FICO score of 780, which indicates a strong credit history and responsible financial behavior.  Lenders generally view higher credit scores as an indication of lower credit risk.  As Stephanie is buying a new vehicle, lenders may consider this a lower-risk loan compared to financing a used vehicle.

Lower credit risk and the lower risk associated with financing a new vehicle are factors that could result in Stephanie being offered a lower APR compared to Tyler (option A), who is buying a used vehicle, and Daniel (option B), who has a lower FICO score of 600.

It's important to note that other factors, such as the lender's policies, market conditions, and individual loan terms, can also influence the APR offered to borrowers.

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Answer:

-3/7

Step-by-step explanation:

-7/3 × ? = 1

-7/3 × -3/7 = 1

you see how both the three's and Steven's canceled out resulting in one as the answer. also it has to be a negative 3/7 since two negative signs in multiplication result in a positive sign.