The statement of the problem has already made a lot of decisions for us. We are told to use three global variables of type int[]. The variables must be static, and I have chosen to make them private, so the declarations become:
private static int[] firstNumbers; // The first numbers in all ten questions.
private static int[] secondNumbers; // The second numbers in all ten questions.
private static int[] user answers; // The user's answers to the ten questions.
Note that these declarations are not in any subroutine. These statements only create variables, not arrays. We still need to create three arrays of length 10. The arrays can be created using the new operator. This initialization could in fact be combined with the declaration of the variables:
private static int[] firstNumbers = new int[10];
private static int[] secondNumbers = new int[10];
private static int[] userAnswers = new int[10];
Another possibility would be to create the three arrays at the beginning of the main() routine. In fact, I chose to create them in the subroutines where they are first used.
The program has three stages -- create the problems, administer the quiz, and grade the quiz -- and we are told to write a subroutine to do each stage. The main program simply has to call the subroutines:
public static void main(String[] args) {
createQuiz();
administerQuiz();
gradeQuiz();
}
This is an example of using subroutines to break up a large task into several simpler subtasks, so that programming each subtask becomes a separate problem. The subroutines are short and not too hard to write. Looking at administerQuiz() as an example, note that the user's answers have to be stored in the array, the user answers so that they can be used when grading the quiz. I create the array itself before asking any questions and then store the user's responses in the array as they are read by the user. On the other hand, the arrays that hold the numbers that occur in the questions have already been created and filled before administerQuiz() is called. Here's the subroutine:
private static void administerQuiz() {
userAnswers = new int[10];
for (int i = 0; i < 10; i++) {
int questionNum = i + 1;
System.out.printf("Question %2d: What is %2d + %2d ? ",
questionNum, firstNumbers[i], secondNumbers[i]);
userAnswers[i] = TextIO.getlnInt();
}
}
A couple notes about the output: I wanted to number the questions 1, 2, ..., 10, but the elements of the arrays are numbered 0, 1, ..., 9. This means that the question number that I output has to be one more than the array index. Also, all the numbers that occur in my program are either one or two digits. By allowing exactly two digits for each number in the output, I can get everything to line up neatly. Here's the I/O for a sample run of the program:
Welcome to the addition quiz!
Question 1: What is 40 + 14 ? 54
Question 2: What is 18 + 38 ? 46
Question 3: What is 21 + 31 ? 52
Question 4: What is 18 + 36 ? 54
Question 5: What is 43 + 12 ? 55
Question 6: What is 21 + 17 ? 38
Question 7: What is 33 + 25 ? 58
Question 8: What is 39 + 21 ? 70
Question 9: What is 1 + 25 ? 26
Question 10: What is 39 + 26 ? 65
Here are the correct answers:
Question 1: 40 + 14 = 54. You were CORRECT.
Question 2: 18 + 38 = 56. You said 46, which is INCORRECT.
Question 3: 21 + 31 = 52. You were CORRECT.
Question 4: 18 + 36 = 54. You were CORRECT.
Question 5: 43 + 12 = 55. You were CORRECT.
Question 6: 21 + 17 = 38. You were CORRECT.
Question 7: 33 + 25 = 58. You were CORRECT.
Question 8: 39 + 21 = 60. You said 70, which is INCORRECT.
Question 9: 1 + 25 = 26. You were CORRECT.
Question 10: 39 + 26 = 65. You were CORRECT.
You got 8 questions correct.
Your grade on the quiz is 80.
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the absolute value of -7-3
negative 7 minus three
Which set of factors corresponds to a third-degree polynomial with rational coefficients that has zeros x=2 and x=3i
(x-2)(x²+9) is set of factors corresponds to a third-degree polynomial with rational coefficients.
What is polynomial?
In arithmetic, a polynomial is an expression consisting of indeterminates and coefficients, that involves solely the operations of addition, subtraction, multiplication, and positive-integer powers of variables.
Main body:
as the polynomial with rational coefficients that has zeros x=2 and x=3i
(x-2) and (x-3i) are factors of third-degree polynomial.
so ,
⇒(x-2)(x-3i)
solving (x-3i)
x = 3i
squaring both sides,
x² = -9
so , (x²+9) is a factor.
hence , (x-2)(x²+9) is set of factors corresponds to a third-degree polynomial with rational coefficients.
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44,50,54,66,51,63,43,57,64 and 42 what is the range difference?
Write an equation and solve.
When two times the difference of a number x and three is increased by five, the result is nine. What is the number?
With all this information, and reading our question carefully, we can decipher the following:
9(n-3) = 3 + (9n + 3n)
9n - 27 = 3 + (9n +3n) (Step 1. Distributive Property)
9n - 27 = 3 + 12n (Step 2. Combine like terms; 9n + 3n = 12n)
-9n -9n (Step 3. Subtract 9n from both sides to isolate the variable)
______________
-27 = 3 + 3n
-3 -3 (Step 4. Subtract 3 from both sides)
________________
-30 = 3n
----- ----
3 3 (Step 5. Divide 3 from both sides)
________________
-10 = n
Therefore, n = -10
What is Distributive property?Distributive property explains that the operation performed on numbers, available in brackets that can be distributed for each number outside the bracket. It is one of the most frequently used properties in Maths. The other two major properties are commutative and associative property.The distributive property is easy to remember. There are a number of properties in Maths which will help us to simplify not only arithmetical calculations but also the algebraic expressions. In this article, you will learn what is distributive property, formula, and solved examples.to learn more about distributive property refer to:
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.
Your final grade in a class is based on your score on two tests and the final exam. You scored a 74% and 82% on the tests and an 80% on the final exam
The average grade received on two tests and the final exam is 78.67%
What is average?
The ratio of the sum of the values in a particular set to all the values in the set is the mean value, which is the definition of the average.
The average formula has numerous practical uses. If we were asked to determine the average male height in India or the average age of the men and women in a group, we would add up all the data and divide it by the total number of data points.
Given, the grades in tests are 74% and 82%. Also, the grade on final exam is 80%.
Now, considering that we have to find the average grade in tests and final exams combined, we put the average formula.
Average grade = Sum of percentages of each exam/Total exams
Thus, average is
= (74+82+80)%/3
= 236%/3
= 78.67%
The average grade received on two tests and the final exam is 78.67%.
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Error Analysis.
Use mathematical reasoning and appropriate terminology to describe (with words) and correct the error (with work) in simplifying each rational expression.
Error Analysis 1:(x-3)/(x+7)
Error Analysis 2:(x(x-7)(x+3))/2(x+1)(x+9)(x+5)
What is meant by error analysis?Error analysis is a procedure that is usually used to identify the cause of the issue when pupils continually make mistakes. The method entails going over a student's work and looking for patterns of misinterpretation. Mathematical errors can occur for a variety of reasons and can be factual, procedural, or conceptual. The study of the kind and quantity of mistake, or uncertainty, that might be present in the solution to a problem is known as error analysis in mathematics. This issue is particularly common in practical disciplines like statistics and numerical analysis. The teacher can examine a student's errors on a worksheet, test, or progress monitoring tool to do an error analysis for mathematics. In order to grade each problem, the teacher should mark each wrong digit in the student's response, starting from the RIGHT, going to the LEFT for addition, subtraction, and multiplication problems.
Error Analysis 1:
(x²-x-6)/(x²+9x+14)
=(x-3)(x+2)/(x+2)(x+7)
=(x-3)/(x+7)
Error Analysis 2:
(x²-6x-27)/(2x²+2x)÷(x²+14x+45)/(x²)
=(x(x-7)(x+3))/2(x+1)(x+9)(x+5)
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Which properties determine whether a quadrilateral is a parallelogram?
A. both pairs of opposite sides of a quadrilateral are both congruent and parallel
B. one pair of opposite sides of a quadrilateral is both congruent and parallel
C. it has 4 right angles
D. one pair of opposite sides of a quadrilateral is parallel
c is the answer. jdjsisiao
A die is rolled. Find the probability of the given event. Write your answers as whole numbers or reduced fractions. (a) The number showing is a 6 P(6)= (b) The number showing is an even number P(even) = (c) The number showing is greater than 5 P(greater than 5) =
Answer:lol
Step-by-step explanation:lol
need the answer pls help ots
Answer:
Your answer is x = 47.
Step-by-step explanation:
First, you need to move the constant to the right-hand side and change its sign.
4x = 180 + 8
Now, you need to add the numbers.
4x = 188
Last but not least, you need to divide both sides of the equation by 4, which gets you to:
x = 47
Write a function that matches the graph.
A function that will match the given graph is; f(x) = 2(x - 5)²(x + 2)
How to interpret Polynomial Graphs?In polynomial graphs, we know that the roots are the points where the graph crosses or touches the x-axis.
In this given graph, we see that the graph touches the x-axis at x = 5 and then crosses the x-axis at x = -2. Thus;
The roots of the equation are -2 and 5.
However, when the graph changes sign at a point on the x-axis, it means that point represents double roots. Thus, we will now have three roots which are -2, 5 and 5. The factors of the polynomial are;
(x + 2), (x - 5)²
Now, we see that when x = 0, y = 100 from the graph. Thus;
a(0 + 2)(0 - 5)² = 100
a(50) = 100
a = 100/50
a = 2
Thus, the equation would now be;
f(x) = 2(x - 5)²(x + 2)
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Solve using Substitution Method
x=4-8y
3x +24y = 12
Observing the provided equation, We can't solve these equations using substitution method or any other methods because these lines are parallel and never intersect each other.
What do you mean by equations?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.
What is a substitution method?The algebraic approach to solving simultaneous linear equations is known as substitution method. The value of one variable from one equation is substituted in the second equation in this procedure, as the name implies.
x=4-8y
3x+24=12
Taking first equation and rearranging it we get,
x+8y=4
multiply this with 3, we get 3x+24y=12 which are identical in nature. Which shows these two lines are parallel in nature. We can't solve them because parallel lines never intersect.
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Observing the provided equation, We can't solve these equations using substitution method or any other methods because these lines are parallel and never intersect each other.
What do you mean by equations?
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.
What is a substitution method?
The algebraic approach to solving simultaneous linear equations is known as substitution method. The value of one variable from one equation is substituted in the second equation in this procedure, as the name implies.
x=4-8y
3x+24=12
Taking first equation and rearranging it we get,
x+8y=4
multiply this with 3, we get 3x+24y=12 which are identical in nature. Which shows these two lines are parallel in nature. We can't solve them because parallel lines never intersect.
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Which statement correctly demonstrates using limits to determine a vertical asymptote of g (x) = StartFraction 2 (x + 4) squared Over x squared minus 16 EndFraction
There is a vertical asymptote at x = 4 because Limit of g (x) as x approaches 4 minus = infinity and limit of g (x) as x approaches 4 plus = negative infinity
There is a vertical asymptote at x = 4 because Limit of g (x) as x approaches 4 minus = infinity and limit of g (x) as x approaches 4 plus = infinity
There is a vertical asymptote at x = –4 because Limit of g (x) as x approaches 4 minus = infinity and limit of g (x) as x approaches 4 plus = negative infinity
There is a vertical asymptote at x = –4 because Limit of g (x) as x approaches 4 minus = negative infinity and limit of g (x) as x approaches 4 plus = infinity
The correct option that describes the vertical asymptote is; B: There is a vertical asymptote at x = 4 because Limit of g (x) as x approaches 4 minus = infinity and limit of g (x) as x approaches 4 plus = infinity
How to find the vertical asymptote of a function?A vertical asymptote of a graph is defined as a vertical line x = a where the graph tends toward positive or negative infinity as the inputs approach a.
A vertical asymptote is a value of x for which the function is not defined, that is, it is a point which is outside the domain of a function;
In a graph, these vertical asymptotes are given by dashed vertical lines.
An example is a value of x for which the denominator of the function is 0, and the function approaches infinity for these values of x.
We are given the function;
g(x) = 2(x + 4)²/(x² - 16)
Simplifying the denominator gives;
(x² - 16) = (x + 4)(x - 4)
Thus, our function is;
g(x) = 2(x + 4)²/[(x + 4)(x - 4)]
(x + 4 ) will cancel out to give;
g(x) = 2(x + 4)/(x - 4)
Vertical asymptote:
Point in which the denominator is 0, so:
(x - 4) = 0
x = 4
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Which conjecture, if any, could be made about the sum of two even integers and one odd integer?
The sum will be an even integer.
The sum will be negative.
It is not possible to make a conjecture.
The sum will be an odd integer.
The sum will be an odd integer.
What is an integer?
An integer is an integer (not a fraction) that is positive, negative, or zero.
In mathematics, integers are collections of integers and negative numbers. Like whole numbers, whole numbers do not contain fractions. Therefore, we can say that integers are numbers that can be positive, negative, or zero, but which are not fractions.
Let p,q,r be three random numbers
Let S be the sum of two even integers and one odd integer
S = 2p + 2q + (2r + 1)
S = 2p + 2q + 2r + 1
S = 2(p+q+r)+1
This shows that S is odd integer for all values of p,q,r
Therefore, the sum will be an odd integer.
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5w-15 as equivalent fraction
The required equivalent expression is given as 5(w - 3).
What is the equation?The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
An equivalent expression of any expression is given as the simplifying the expression using various operations such as factors.
So,
Given expression,
= 5w - 15
As in the expression 5 is a common term between 5w and 15.
Take 5 commons and put the rest of the expression in the parenthesis.
= 5(w - 3)
Thus, the required expression is 5(w - 3).
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You win an online auction for a toy. Your winning bid of $30 is 60% of your maximum bid. How much more were you willing to pay for the toy than you actually paid?
Answer:
I was willing to pay $20 more for the toy than I actually paid.
Step-by-step explanation:
Let us take the maximum bid be y
So,
(y × 60) ÷ 100 = 30
60y/100 = 30
60y/100 × 100 = 30 × 100
60y = 3000
60y/60 = 3000/60
y = 50
60% of $50 is $30
So,
50 - 30 = 20
Thus, I was willing to pay $20 more for the toy than I actually paid.
03 Multiple Choice
Select all of the expressions that are equivalent to 2/3 (9x + 6) -1/2(8x - 4)
M. 2(x + 1)
P. 2x+6
R. 2x + 2
S. 2(x + 3)
T. 8x
Answer:
The answer is 2x + 6 or 2(x + 3)
Step-by-step explanation:
2/3 (9x + 6) -1/2(8x - 4)
(18x + 12)/3 - (8x + 4)/2
6x + 4 - 4x + 2
Rearrange it
6x - 4x + 4 + 2
Combine like terms
2x + 6
Take 2 as common
2(x + 3)
Thus, The answer is 2x + 6 or 2(x + 3)
Please hurry I have been stuck on this question for a while
One week, Heather opens a bank account with $125. Each week, starting the second week, she deposits $25 into her account.
What is the explicit rule for amount of money Heather has in her account after n weeks?
Enter the simplified answer in the box.
Answer:
125+25n
Step-by-step explanation:
We are given that
Heather opens a bank account with=$125
Each week she deposited money into her account=$25
We have to find the explicit rule for the amount of money that has Heather after n weeks.
Heather has money after 1 week=125+25=$150
Heather has money after 2 week=125+2(25)=$175
Heather has money after 3 weeks=125+3(25)=$200
Heather has money after n weeks=125+25(n)
Hence, the explicit rule for the amount of money that has Heather after n weeks is given by
125+25n
W is the midpoint of SU, TU ⊥ SU and SU ⊥ SV. Complete the proof that Δ SVW ≅ Δ UTW.
Statement Reason
1. W is the midpoint of SU Given
2. TU ⊥ SU Given
3. SU ⊥ SV Given
4. ∠S ≅ ∠U All right angles are congruent
5. ∠ SVW ≅ ∠ UTW Definition of midpoint
6. Δ SVW ≅ Δ UTW.
The proof that Δ SVW ≅ Δ UTW is given by ASA congruence criterion.
What do you mean congruence of triangle?Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure. These triangles can be slides, rotated, flipped and turned to be looked identical. If repositioned, they coincide with each other.
The symbol of congruence is’ ≅’.
Given:W is the midpoint of SU
⇒ SW = WUTU ⊥ SU and SU ⊥ SV
To prove:Δ SVW ≅ Δ UTW
Proof:In Δ SVW and Δ UTWSW = UW (given)
∠S ≅ ∠U (given)
∠ SVW ≅ ∠ UTW (vertically opposite angle)
Therefore, Δ SVW ≅ Δ UTW (by ASA congruence criterion)
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Use the vertex and intercepts to sketch the graph of each quadratic function give the equation of the parabola axis of symmetry use the graph to determine the function domain and range f(x)=(x-1)^2+2
The vertex of the parabola is (1,2) when the function is f(x) = (x-1)²+2 when the equation for the parabola's axis of symmetry.
Given that,
Give the equation for the parabola's axis of symmetry by sketching the graph of each quadratic function using its vertex and intercepts.
We have to determine the function domain and range using the graph is f(x) = (x-1)²+2
We know that,
Its vertex A quadratic function's form is provided by
f(x) = a(x-h)²+k
So, (h,k) is the vertex of the parabola
Take
f(x) = (x-1)²+2
(1,2) is the vertex of the parabola.
Therefore, The vertex of the parabola is (1,2) when the function is f(x) = (x-1)²+2 when the equation for the parabola's axis of symmetry.
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which of the following commands is most likely to display the tls handshake between a client and the server at
A widely used security technology called Transport Layer Protection, or TLS, enables privacy and data security for communications over the Internet. Encrypting communication between online applications and servers, such as when web browsers load a webpage, is one of the main applications of TLS.
When a user accesses a website through HTTPS and the browser initially starts to enquire about the website's origin server, a TLS handshake occurs
Together, the client and server will perform the following during a TLS handshake:
Indicate the TLS version (TLS 1.0, 1.2, 1.3, etc.) they'll be using.
Select the cipher suites they'll employ (see list below).
Using the server's public key and the SSL certificate authority's digital signature, confirm the server's identity.
After the handshake, generate session keys to enable symmetric encryption.
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Your chances of being killed or injured in such a crash are ____ times greater when you are thrown from your car than when you are buckled up.Answer: 5
Your chances of being killed or injured in such a crash are 5 times greater when you are thrown from your car than when you are buckled up
The safest decision that drivers and passengers can make is to use their seatbelts.
The national seat belt use rate was 90.4% in 2021, indicating that many Americans are aware of the life-saving benefits of seat belts.
In 2017, it is projected that 14,955 lives were saved by seat belt use in passenger automobiles.
Recognize the potentially devastating repercussions of not using a seat belt and discover how to always buckle up properly for you and your family.
Buckling up keeps you safe and secure within your car, whereas not doing so increases your chance of being completely ejected from the vehicle in an accident, which is virtually always fatal.
You need more protection than air bags.
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If line BG and CF are parallel,then the supplement of BIE = the supplement of GMD. Is this statement correct? Explain your answers
The supplement of BIE equals the supplement of GMD is a false assertion if lines BG and CF are parallel.
Describe the supplement angle.Angles with a supplementary sum are those whose sum is 180 degrees. For instance, the total of angle 130° and angle 50° is 180°, hence they are supplementary angles.
Lines BG and CF are parallel, as shown in the figure.
If BIE = X, then its supplement of BIE will be 180 - X;
similarly, if GMD = Y, then its supplement of GMD will be 180 - Y.
Since BG and CF are parallel, the supplements of BIE and GMD are interior angles on the same side ( as shown in figure)
and for parallel line the interior angle on the same side is 180
so 180 - X and 180 -Y there sum should be 180
They cannot be equal
line BG and CF are parallel, then the supplement of BIE = the supplement of GMD are not equal.
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A lamina occupies the region inside circle x2 +y2 = 2y but outside circle x2 +y2 = 1. Find the center of mass if the density atany point is inversely proportional to its distance from theorigin.
the answer is {0, [3√3/2(3√3-π)]}
Ф {0, [3√3/2(3√3-π)]}
The poster above has good diagrams ; so , I will just go through the calculations .
The region of integration is with in the circle x ^2+y^2=2y but outside the circle x^2+y^2=1.
I would convert to polar . With polar , we have x^2+y^2=r^2 ,x=rcosФ and y=rsinФ
We thus have the first circle becomes x^2+y^2=2y ⇒r^2=2rsinФ Divide through by r, and you get r=2sinФ(1).
This is the upper circle in the previous posters diagrams .
The other equation of a circle becomes :
x^2 + y^2 = 1 ⇒ r^2 = 1 ⇒ r = 1 (2)
These two curves intersect at :
r= 2sinФ =1 ⇒ sinФ=1/2 ⇒Ф= [tex]\alpha[/tex]/6 or 5[tex]\pi[/tex]/6
From the previous poster's diagrams , we can see that there is as much mass on either side of the positive. y axis or
Ф=[tex]\pi[/tex]/2 axis in polar ; so , the X coordinate of the center of mass is zero
X=0 We can also see from his diagrams that the mass and moment of mass is symmetrical about the Ф=[tex]\pi[/tex]/2
we only need to integrate from Ф=[tex]\pi[/tex]/6 to Ф=[tex]\pi[/tex]/2 ( the answers from to are the same and double )
The differential of area in polar coordinates is
d A=rdrdФ They say the area mass density is inversely proportional to the distance from the origin .
This can be written as : p=k/r. We can thus say the differential of mass is
d M=PDA=
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-3/2 passes through (-4, 3)
what is the y intercept and equation
(in slope intercept form)
Question
1/3 Marks
The prism shown has a volume of 35 cm³.
Work out h, the height of the triangular cross section.
h = Answ cm
13/27 Marks
+
hi
4 cm
7 cm
The height of the triangular cross section is equal to 2.5 cm.
How to calculate the volume of a rectangular prism?Mathematically, the volume of a rectangular prism can be calculated by using this formula:
Volume = L × W × H or Volume = base area × length
Where:
L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.Next, we would determine the base area of this rectangular prism by using the formula for the area of a triangle:
Area of triangle = 1/2 × base area × height
Area of triangle = 1/2 × 4 × h
Area of triangle = 2h
Now, we can determine the height of this rectangular prism as follows;
Volume = base area × length
35 = 2h × 7
Height, h = 35/14
Height, h = 2.5 cm.
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Write a function in any form that would match the graph shown below.
if the pic is blurry just zoom in!!
please need ASAPP!!!
A system of equations and its graph are shown.
y = 3/4x+3
y = -1/4x + 1
What is a solution to the system
Answer:
(-2, 1.5)
Step-by-step explanation:
When graphed their solution is (the point where both the line intercept/touch) (-2,1.5)
I graphed this equations online**
Find the value of k given that both points lie on a line passing through the origin. (−12,−2) and (k, 8)
Using the slope, the required value of k is 48.
What is the slope?In mathematics, the steeper direction of a line is overall processed by the slope or gradient of the line.
A line's slope can be used to determine how steep it is.
Theoretically, the gradient is calculated as "rise over run" (change in y divided by change in x).
Given is a line that crosses through the origin:
y = mx
Let,s take x = -12 and y = -2.
y = mx
-2 = -12m
m = -2/12
m = -1/6
m is the slope.
The equation now:
y = mx
y = -1/6x
Now, insert:
x = k and y = 8
y = mx
8 = -1/6x
x = 6*8
x = 48
Therefore, using the slope, the required value of k is 48.
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What is a selective industrialization is for an Expo
A selective industrialization is a phenomenon in which those sectors or elements where it is desired to centralize or focus the industrialization itself are selected.
Analysis on selective industrializationThis has been a type of industrialization where industrialization is projected in sectors that are previously selected and defined.
Some of the characteristics of selective industrialization are:
It focuses on the industrial development of a sector and selected elements.The main objective has been to promote an economic sector that has a high potential.¡Hope this helped!
Selective industrialization is a strategy that involves focusing on the development of specific industries or sectors in a country's economy.
This approach is often used by developing countries to promote economic growth and development by targeting key industries that have the potential to drive growth and create jobs.
In the context of an Expo, selective industrialization could refer to showcasing and promoting specific industries or sectors that a country or region specializes in or wants to develop further.
This could involve exhibiting products, technologies, and innovations related to those industries, as well as networking with potential investors, partners, and customers to explore opportunities for collaboration and growth.
Four friends paid a total of $32 for bowling. What is the ratio $32 for 4 people written as a unit rate?
Answer:
$8 per person
Step-by-step explanation:
32 divided by 4 is 8
32 : 4 = 8 : 1
