The mapping diagram shows a functional relationship. A mapping diagram shows a relation, using arrows, between domain and range for the following ordered pairs: (negative 1, 0), (0, 3), (3, negative 1), (9, 9). Complete the statement. f(3) is .

To determine the volume of the missing side of the prism, we need more information about the shape and dimensions of the prism. The volume alone is not sufficient to determine the specific measurements of the missing side.

A prism is a three-dimensional shape with two parallel and congruent bases connected by rectangular faces. It can have various dimensions, such as length, width, and height. To find the missing side, we typically need at least two of these dimensions or additional information about the shape.

If you can provide more details about the prism, such as its shape or the measurements of the known sides, I will be able to assist you in finding the volume of the missing side.

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Step-by-step explanation:

¹/25y²-81

(⅕y)²-9². apply a²-b²=(a+b)(a-b)

(⅕y+9)(⅕y-9)

hope this helps you.

In order to determine if there is inconsistency, the data collected from the three instructors would need to be compared and analyzed. Without further information or analysis, it is difficult to determine if there is inconsistency in the grading.

To answer your question, we first need to analyze the data provided for the grade distribution of the three instructors. Unfortunately, you haven't provided any data in your question. However, I can guide you through the process of assessing consistency using the given terms: conducted, assess, and consistency.

Step 1: The university conducted a study on the grade distribution of a multi-section basic statistics course taught by three instructors.

Step 2: To assess consistency in grading, we need to compare the grade distributions of the three instructors. You can use a variety of statistical methods to make this comparison, such as descriptive statistics (e.g., mean, median, and standard deviation), visual representations (e.g., boxplots or histograms), or inferential statistics (e.g., ANOVA or chi-square tests).

Step 3: After analyzing the data, you can determine whether there is any inconsistency in grading among the three instructors. If the grade distributions are similar, it suggests consistency in grading. However, if the distributions differ significantly, it may indicate grading inconsistency.

Remember, to provide a specific answer, we would need the actual data on grade distribution for the three instructors. Once you have that data, you can follow the steps mentioned above to assess the consistency of grading in the course.

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The Length of the conjugate axis is equal to 2b. The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola.

In a hyperbola, the name of the green segment is called the transverse axis. The transverse axis is the longest distance between any two points on the hyperbola, and it passes through the center of the hyperbola. It divides the hyperbola into two separate parts called branches.

The transverse axis of a hyperbola lies along the major axis, which is perpendicular to the minor axis. Therefore, it is also sometimes called the major axis.

The other axis of a hyperbola is called the conjugate axis or minor axis. It is perpendicular to the transverse axis and passes through the center of the hyperbola. The length of the conjugate axis is usually shorter than the transverse axis.In the hyperbola above, the green segment is the transverse axis, and it is represented by the letters "2a". Therefore, the length of the transverse axis is equal to 2a.

The blue segment is the conjugate axis, and it is represented by the letters "2b".

Therefore, the length of the conjugate axis is equal to 2b.The transverse axis is an essential feature of a hyperbola, as it determines the overall shape of the hyperbola. In particular, the distance between the two branches of the hyperbola is determined by the length of the transverse axis.

If the transverse axis is longer, then the branches of the hyperbola will be further apart, and the hyperbola will look more stretched out. Conversely, if the transverse axis is shorter, then the branches of the hyperbola will be closer together, and the hyperbola will look more compressed.

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Answer:

-5x+(- 15 ) = 20

x=-7

Step by Step

-5x+(-15)= 20 becomes

-5-15=20 add 15 tp (15 and 20)

-5x=35 ( divide by 51

x=-7

the radius of the circle is 30 cm when the circumference is 188.4 . The length of the boundary is its circumference.

A boy has traveled a certain distance if, after sprinting around the park once, he arrives at point "A" from point "A" in the first place. The park's circumference, which has the shape of a circle, is the length or border that it encompasses. The length of the boundary is its circumference.

calculation

Circumference=2πr

188.4=2×3.14×r

188.4=6.28×r

r= 188.4/6.28

radius=30cm

the radius of circle is 30 cm when the circumference is 188.4 .

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Answer:

x would equal 1/4

x = 1/4

Step by step:

1. Distribute the equation on the left 4(2x+2). That would equal 8x+8 when you multiply 4 · 2x and 4 · 2

2. Rearrange the terms for the equation on the left side 8(2-3x). It should be 8(-3x+2)

3. Now distribute the left side. 8(-3x+2) = -24x+16

4. Now subtract 8 from both sides of the equation ( 8x+8-8 ) = (-24x+16-8)

You should get 8x= -24x+8

5. Now add 24x to both sides ( 8x+24x = -24x+8+24x )

6. Combine the like terms (8x+24x = 32x = 8)

7. Divide both sides by 32. 32/32 and 8/32

And that should get you 1/4

Hope the explanation helped

Answer:

x = 0.25

Step-by-step explanation:

The first step for this problem is  to multiply (2x+2) by 4 and (2-3x) by 8:

4(2x+2) = 8x+8

8(2-3x) = 16-24x

The equation becomes: 8x+8 = 16-24x

The second step for this problem is to move the terms with x to one side of the equals sign, and to move the terms without x to the other side.

8x+8 = 16-24x

8x+24x = 16-8

The third step is to combine like terms.

8x+24x = 32x

16-8 = 8

The equation becomes 32x = 8

The final step is to divide 8 by 32 to isolate the x:

32x = 8

x = 8/32 = 1/4 = 0.25

Answer:

60 days

Step-by-step explanation:

L.C.M. of 6,4,10=60

as 6=2×3

4=2×2

10=2×5

L.C.M. =2×3×2×5=60

after 60 days they will again together.

The median of the given list of numbers is 87.

To find the median of a list of numbers, we arrange them in ascending order and identify the middle value.

If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.

First, let's arrange the numbers in ascending order:

65.9, 68, 70, 74, 75, 78, 84, 86, 87, 90, 93, 93, 95, 96, 97, 380, 486, 680

There are 17 numbers in the list, which is an odd number. The middle number is the 9th number in the list, which is 87.

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The correct answer is option (a) "The informal norms of an individual’s socioeconomic group affect that person’s entrepreneurial propensity".      

"One of the true influences of micro institutions in entrepreneurial activity is the informal norms of an individual's socioeconomic group. Entrepreneurial propensity is influenced by various factors, and the informal norms of an individual's socioeconomic group are one of them.  

The norms and values of the local community have a significant impact on entrepreneurship. According to scholars, cultural influences play a critical role in determining entrepreneurial activity in a region. Furthermore, the cultural characteristics of an individual's neighborhood or community, such as the level of innovation, risk-taking, and trust, have a significant impact on their entrepreneurial tendencies .An individual's upbringing and experiences, particularly with regards to their family and educational background, can also impact their propensity towards entrepreneurship.

However, it is not accurate to say that family background and educational attainment do not correlate with entrepreneurship. In fact, studies have shown that individuals who have an entrepreneurial parent or come from an entrepreneurial family are more likely to become entrepreneurs themselves. Additionally, education can provide individuals with the skills and knowledge necessary to start and manage their own business.

There is no evidence to suggest that children of wealthy parents are less likely to start their own firms. In reality, children of wealthy parents are more likely to have access to resources that can help them start and grow a business.

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Answer:

the second one

Step-by-step explanation:

05) is called alpha (α). If the probability (i.e., p-value) is less than alpha that we would obtain a sample mean this large or larger from the null population, we reject the null hypothesis and conclude that our sample was drawn from a different population with a sample mean larger than the null mean.

The value of a is gotten from the equation 5a - 4 = 3a + 14 which gives a = 9

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Y is between X and Z, hence:

XZ = XY + YZ

XY= 3a, XZ=5a-4, and YZ = 14, therefore substituting gives:

5a - 4 = 3a + 14

a = 9

The value of a is gotten from the equation 5a - 4 = 3a + 14 which gives a = 9

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Since each canoe sells for $800 and has a variable unit expense of $400, the contribution margin per canoe is $400 ($800 selling price - $400 variable unit expense).
Using the contribution margin per canoe, we can calculate the number of canoes Tippy Canoe needs to sell to reach a revenue of $200,000:
$200,000 / $400 contribution margin per canoe = 500 canoes
Therefore, Tippy Canoe needs to sell 500 canoes to make a $150,000 profit.

To calculate the number of canoes Tippy Canoe needs to sell to make a $150,000 profit, we'll use the formula: Profit = (Selling Price - Variable Expense) × Number of Canoes - Fixed Expenses.

Since each canoe sells for $800 and has a variable unit expense of $400, the contribution margin per canoe is $400 ($800 selling price - $400 variable unit expense).
Using the contribution margin per canoe, we can calculate the number of canoes Tippy Canoe needs to sell to reach a revenue of $200,000:
Let's denote the number of canoes as "x." We want to find x in this equation:
$150,000 = ($800 - $400) × x - $50,000.

First, simplify the equation:
$150,000 = $400x - $50,000.

Now, add $50,000 to both sides of the equation:
$200,000 = $400x.

Finally, Using the contribution margin per canoe, we can calculate the number of canoes Tippy Canoe needs to sell to reach a revenue of $200,000:
And, divide both sides by $400 to find the value of x:
x = 500.
Tippy Canoe needs to sell 500 canoes to make a $150,000 profit.

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39 subjects were tested in this simple one-way ANOVA.

The df for F distribution is (treatment df, error df)

Using given information

Treatment df = 7

Error df = 31

Total df= 7+31 = 38

Again, total df = N-1, N= number of subjects tested

Then, N-1 = 38

=> N= 39

One-way ANOVA is typically used when there is a single independent variable or factor and the goal is to see whether variation or different levels of that factor have a measurable effect on the dependent variable.

The t-test is a method of determining whether two populations are statistically different from each other, and ANOVA determines whether three or more populations are statistically different from each other.

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Step-by-step explanation:

42(100+10+1)

= 4200 + 420 + 42

= 4,662

Answer:

42=7*3*2

111=37*3

so hence there are many ways we can use the 1, 10 and the hundred houses to execute the problem As my Friend said in the above solution we can take that

=42(100+10+1)

=4200+420+42

=Which Finally gives us 4262

Answer:

A. 4%

Step-by-step explanation:

We can find out the total weight in the beginning by adding 240+10 which is 250

Then we divide 10/250 or we can multiply both sides by 4 to move the denominator to the 1000th which is 40/1000 and remove a 0 from both sides which makes 4/ 100 or 0.04 which is 4%

Answer:

5/12 of a gallon

Step-by-step explanation:

5 divided by 12 is 5/12

The value of x will remain 0 after evaluating the expression.

The expression (y > 0) && (1 > x++) involves two conditions connected by the logical AND operator &&. For the entire expression to be true, both conditions must be true.

In this case, y is assigned the value of 0, and therefore, the condition y > 0 will evaluate to false. Since the first condition is false, the second condition 1 > x++ will not be evaluated, because even if it were true, the entire expression would still be false.

Since the entire expression is false, the increment operation x++ will not be executed, and the value of x will remain 0.

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Given:

it is given that the four people took part in two conditions of a study and their data is given as

Person A: 2, 3 Person B: 6, 4 Person C: 2, 5 Person D: 3, 6

Find:

we have to find the Standard Deviation of their

There are three a's, we can write a³ instead of a×a×a. This gives us d×b×c×a³

To simplify the expression d×b×c×a×a×a, we can rewrite it using exponents. Since there are three a's, we can write a³ instead of a×a×a. This gives us:

d×b×c×a³

This is the simplified expression using single variables raised to exponents. We can read this as "d times b times c times a to the power of 3".

It's important to note that when we have multiple variables multiplied together, we can simplify the expression by combining them using exponents. This makes it easier to work with and to manipulate algebraic equations.

In this case, we were able to simplify the expression by replacing three instances of a with a³. We could continue to simplify further if we had additional like terms, but in this case, this is the simplest form of the expression.

Overall, simplifying expressions using exponents is a common technique in algebra and can help make solving equations more manageable.

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Answer: 88°

Step-by-step explanation:

We know that the ratio of ∠DCB : ∠ACD is 3:1. In other words, ∠DCB is \(\frac{3}{3+1}\), or \(\frac{3}{4}\) of the whole angle (i.e., ∠ACB), while ∠ACD is \(\frac{1}{4}\) of the whole angle.

To easily find ∠ACB, which is the sum of both angles, we can add up all the angles of \(\triangle ABC\) and set it equal to 180°.

\(m\angle A + m\angle B + m\angle ACB = 180\\75+53+m\angle ACB=180\\128+m\angle ACB=180\\m\angle ACB=52\)

From here, we can calculate ∠BCD by multiplying the value of ∠ACB by three-fourths.

\(m\angle BCD = \frac{3}{4}(m\angle ACB)\\m\angle BCD = \frac{3}{4}(52)\\m\angle BCD = 39\)

Similar to what we did to get the measure of ∠ACB, we can add up all the angles measures of \(\triangle DBC\) to get the measure of ∠BDC.

\(m\angle B + m\angle BDC + m\angle BCD = 180\\53+m\angle BDC + 39= 180\\92+ m\angle BDC=180\\m\angle BDC = 88\)

The measure of ∠BDC is 88°.

The equivalent compound inequality will be -30 < 5/9(F - 32) < 130

A compound inequality (or combined inequality ) is two or more inequalities joined together.

Given the formula for converting celsius to Fahrenheit as;

C = 5/9(F - 32)

If the label on a car's antifreeze container claims to protect the car between −30°C and 130°C, the equivalent compound inequality will be;

-30 < 5/9(F - 32) < 130

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Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

\((0,7),(-13,-97)\)

Equation Form:

\(x=0,y=7\\x=-13,y=-97\)

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(8*x+7)=0

Equation of a Straight Line

Solve   y-8x-7  = 0

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.'

n this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  y-8x-7  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 7/1 so this line "cuts" the y axis at y= 7.00000

 y-intercept = 7/1  =  7.00000

Calculate the X-Intercept :

When y = 0 the value of x is 7/-8 Our line therefore "cuts" the x axis at x=-0.87500

 x-intercept = 7/-8  = -0.87500

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 7.000 and for x=2.000, the value of y is 23.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 23.000 - 7.000 = 16.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = 16.000/2.000 =  8.000

Geometric figure: Straight Line

 Slope = 16.000/2.000 = 8.000

 x-intercept = 7/-8 = -0.87500

 y-intercept = 7/1 = 7.00000

Pull out like factors :

  -x2 - 5x - 7  =   -1 • (x2 + 5x + 7)

Trying to factor by splitting the middle term

2.2     Factoring  x2 + 5x + 7

The first term is,  x2  its coefficient is  1 .

The middle term is,  +5x  its coefficient is  5 .

The last term, "the constant", is  +7

Step-1 : Multiply the coefficient of the first term by the constant   1 • 7 = 7

Step-2 : Find two factors of  7  whose sum equals the coefficient of the middle term, which is   5 .

     -7    +    -1    =    -8

     -1    +    -7    =    -8

     1    +    7    =    8

     7    +    1    =    8

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Find the Vertex of   y = -x2-5x-7

Parabolas have a highest or a lowest point called the Vertex .   Our parabola opens down and accordingly has a highest point (AKA absolute maximum) .    We know this even before plotting  "y"  because the coefficient of the first term, -1 , is negative (smaller than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two  x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.

For any parabola,Ax2+Bx+C,the  x -coordinate of the vertex is given by  -B/(2A) . In our case the  x  coordinate is  -2.5000  

Plugging into the parabola formula  -2.5000  for  x  we can calculate the  y -coordinate :

 y = -1.0 * -2.50 * -2.50 - 5.0 * -2.50 - 7.0

or   y = -0.750

Parabola, Graphing Vertex and X-Intercepts :

Root plot for :  y = -x2-5x-7

Axis of Symmetry (dashed)  {x}={-2.50}

Vertex at  {x,y} = {-2.50,-0.75}

Function has no real roots

Solve Quadratic Equation by Completing The Square

3.2     Solving   -x2-5x-7 = 0 by Completing The Square .

Multiply both sides of the equation by  (-1)  to obtain positive coefficient for the first term:

x2+5x+7 = 0  Subtract  7  from both side of the equation :

  x2+5x = -7

Now the clever bit: Take the coefficient of  x , which is  5 , divide by two, giving  5/2 , and finally square it giving  25/4

Add  25/4  to both sides of the equation :

 On the right hand side we have :

  -7  +  25/4    or,  (-7/1)+(25/4)

 The common denominator of the two fractions is  4   Adding  (-28/4)+(25/4)  gives  -3/4

 So adding to both sides we finally get :

  x2+5x+(25/4) = -3/4

Adding  25/4  has completed the left hand side into a perfect square :

  x2+5x+(25/4)  =

  (x+(5/2)) • (x+(5/2))  =

 (x+(5/2))2

Things which are equal to the same thing are also equal to one another. Since

  x2+5x+(25/4) = -3/4 and

  x2+5x+(25/4) = (x+(5/2))2

then, according to the law of transitivity,

  (x+(5/2))2 = -3/4

We'll refer to this Equation as  Eq. #3.2.1  

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

  (x+(5/2))2   is

  (x+(5/2))2/2 =

 (x+(5/2))1 =

  x+(5/2)

Answer:

8

Step-by-step explanation:

75% of x = 6

0.75x = 6

x = 6/0.75

x = 8

Answer: 8

Answer:m is greater than or equal to 1/2

Step-by-step explanation:

Answer:

-15 - 3 = -18

Rob owes his father 18 dollars.

Step-by-step explanation:

If he borrowed 15 dollars from his dad, then 3 more, he borrowed a total of 15 + 3 dollars. That means he borrowed a total of 18 dollars. When you borrow money, you owe people, and after you spend the borrowed money it's like subtracting money from your 0 dollars. 0 - 18 = -18. He needs to earn 18 more dollars to pay back his father and get a balance of 0 dollars again.

Hope this helps.