Plz help ASAP !!!!! Plzzz

Plz Help ASAP !!!!! Plzzz

Answers

Answer 1

Answer:

The second one

Step-by-step explanation:

She started with x dollars and then used 8 dollars to buy a football game ticket, so x-8. Then, she is left with 56 dollars, so x-8=56. Therefore, the second story represents the equation.


Related Questions

Write the equation of the given line in slope-intercept form:
(-1,2) and (1,-4)

Answers

answer is y=-3x+(-1/3)

Write an equation in point-slope form of the line that passes through the point (7, -4) and has a slope of m=-6.

Answers

Answer:

(-4-y) = -6(7 - x)

Step-by-step explanation:

Fiona is always looking for a great deal while shopping. Her favorite jeans regularly cost 40$. She found a sale rack where all of the jeans are marked 30$. What is the percentage of the discount on jeans

Answers

I think it’s gonna be 25%

3. Your friend shows you a scale drawing of her apart-
ment. The drawing of the apartment is a rectangle
4 inches by 6 inches. Your friend wants to know the
length of the shorter side of the apartment. If she
knows that the length of the longer side of the apart-
ment is 30 feet, how many feet long is the shorter side
of her apartment?

Answers

Answer:

The answer is 20 feet

Step-by-step explanation:

We know that her apartment sketch is 6 by 4 inches.

If the 6 inch side is actually 30 feet and 6 goes into 30 5 times, we should multiply 4 by 5 to get proportionate answers.

Therefore her apartment is 20*30 feet

Hope this helps

hey lol pls help <3
Ms. Philor is going on a trip to Hawaii. The function A(d)=0.80d+200 models the amount A, in dollars, that Ms.Philor's company pays her based on the round trip distance d, in miles that Ms. Philor travels to do a job.

Ms. Philor's pay increases by $

A)80.200
B) 0.80
C)200.80

Answers

A. 80.200 random letters susboahajsgsjahaj

Find GCF (212, 96) and LCM (212, 96) using prime factoring.
Anyone know...

Answers

Answer:

8x12 and 2x2x53

Step-by-step explanation:

Amber and her older brother Johnny were helping their father build a sand pit in their
backyard to go with the new swimming pool he just purchased. The sand pit is circular in
shape. The height of the p[it is to be 2 feet. The radius of the pit is to be 6 feet. If one 50
pound bag of sand covers.52ft of space, how many bags of sand will be needed to
completely fill the sand pit?

Answers

I hope you find the answers!

Sequence: 13.9.5.1.-3. ...
5) is this Arithmetic, Geometric, or Neither?
6) Write and Equation for the Sequence.
7) What is the 15th Term in the Sequence?

Answers

5.) this sequence above I arithmetic since it is being subtracted by a constant which is 4.
6.) the equation could be a(n)=13+(n-1)-4
7.) the 15th term of this sequence is -43

A coin was tossed 50 times and landed on tails 10 times. What is the Probability that will land on tail on the next toss.

Answers

Answer:

4/5

Step-by-step explanation:

50-10 = 40

40/50 = 4/5

the answer is 40/50

Step-by-step explanation:

50-10=40

it's easy

can someone awnser the following screenshot

Answers

The answer is 23v

steps-

remove the parentheses

2x7v+9v

multiply the number

2x7=14+19v

add them

14v+19v=23v

Use the distributive property to rewrite each algebraic expression 7(y+2) + (8+r) + 8(x + 9)

Answers

Answer:

7y+r+8x+94

Explanation

Given the algebraic expression 7(y+2) + (8+r) + 8(x + 9)

Given A, B and C. According to distributive law;

A(B+C) = AB + AC

A is distributed over C. In the same vein

On expanding the expression;

7(y+2) + (8+r) + 8(x + 9)

7y+7(2) + 8 + r + 8(x)+ 8(9)

7y+14+8+r+8x+72

Bringing the variables and constants together

7y+r+8x+14+8+72

7y+r+8x+94

Raghav, Rajit, Junsu, Mia, and Umema were finished with lunch and began playing with drink straws. Each one was making a line design using either 3 or 4 straws. Since they had just come from math class where they had been studying special angles, Raghav pulled his pencil out of his bookbag and labeled some of the angles and lines. He then challenged himself and the others to find the values of x and y in degrees.

Show how you would find the values of x and y for Raghav’s straw figure shown below using a system of linear equations. (You may use a decimal to the tenths place for your answers for the angle measures.)

Answers

Answer:

x = [tex]25.8^{o}[/tex] and y = [tex]51.4^{o}[/tex]

Step-by-step explanation:

Known that he sum of angles on a straight line is [tex]180^{o}[/tex]. From the diagram;

2y + x + y = [tex]180^{o}[/tex]

x + 3y = [tex]180^{o}[/tex] ................ 1

Also,

2x + x + 2y = [tex]180^{o}[/tex]

3x + 2y = [tex]180^{o}[/tex] .............. 2

Using the elimination method, multiply equation 1 by 3 and equation 2 by 1

3x + 9y = 540 ............ 3

3x + 2y = [tex]180^{o}[/tex] ............. 4

7y = 360

y = [tex]\frac{360}{7}[/tex]

y = [tex]51.4^{o}[/tex]

substitute the value of y in equation 1,

x + 3y = [tex]180^{o}[/tex]

x + 3(51.4) = [tex]180^{o}[/tex]

x + 154.2 = [tex]180^{o}[/tex]

x = [tex]180^{o}[/tex] - 154.2

x = [tex]25.8^{o}[/tex]

Thus, x = [tex]25.8^{o}[/tex] and y = [tex]51.4^{o}[/tex]

Slove the system of linear equations by graphing y=-x+7 y=x-1

Answers

Answer: Point Form: ( 4 , 3 ) Equation Form: x = 4 , y = 3  

Step-by-step explanation: Solve for the first variable in one of the equations, then substitute the result into the other equation.

Brainliest or a thank you please? :))

find the area of a polygon with the vertices of (-4, 5), (-1, 5), (4, -3), and (-4, -3). suggestion: plot the points on graph paper and connect the vertices to form the polygon.

Answers

The area of the polygon with the vertices (-4, 5), (-1, 5), (4, -3), and (-4, -3) is 12 square units.

To calculate the area of the polygon, we can use the shoelace formula, also known as Gauss's area formula or the surveyor's formula. The formula involves writing the x-coordinates and y-coordinates of the vertices in a specific order and performing a series of calculations.

1. We write the x-coordinates of the vertices in one row, repeating the first coordinate at the end: -4, -1, 4, -4.

2. We write the y-coordinates of the vertices in the next row, in the same order: 5, 5, -3, -3.

3. Next, we multiply each pair of adjacent x and y coordinates and add them together in a counterclockwise direction.

4. Then, we subtract the sum of the products of the y-coordinates and the x-coordinates in a counterclockwise direction.

5. Taking the absolute value of this result, we divide it by 2 to obtain the area.

Applying the shoelace formula:

Area = |((-4*5) + (-1*-3) + (4*-3) + (-4*5)) - (5*-1 + 5*4 + -3*-4 + -3*-4)| / 2

    = |-49 - (-25)| / 2

    = |-24| / 2

    = 12 / 2

    = 12.

Therefore, the area of the polygon with the given vertices is 12 square units.

To know more about area of the polygon, click here: brainly.com/question/25907039

#SPJ11

Based on the two data sets represented below, complete the following sentences.
\text{DATA SET B}
DATA SET B
0
0
23
24
25
26
27
28
29
30
31
32
33
\text{DATA SET C}
DATA SET C
0
0
23
24
25
26
27
28
29
30
31
32
33

The median of Data Set B is
than the median of Data Set C. The minimum of Data Set B is
than the minimum of Data Set C.

Answers

Hey don’t go to the link

Find all the first derivatives of the function f(x,y) = x^0.9y^1.8. Show all of your steps with explanations of what you are doing.

Answers

The first derivative of the given function with respect to x is 0.9x^(-0.1)y^1.8 and the first derivative of the given function with respect to y is 1.8x^0.9y^0.8.

The given function is f(x, y) = x^0.9y^1.8. The question is to find the first derivative of the given function with respect to x and y respectively.

Here are the solutions; The first derivative of the given function with respect to x is given by ∂f(x, y)/∂x:∂f(x, y)/∂x = 0.9x^(-0.1)y^1.8

On the other hand, the first derivative of the given function with respect to y is given by ∂f(x, y)/∂y:∂f(x, y)/∂y = 1.8x^0.9y^(1.8 - 1)∂f(x, y)/∂y = 1.8x^0.9y^0.8

Therefore, the first derivative of the given function with respect to x is 0.9x^(-0.1)y^1.8 and the first derivative of the given function with respect to y is 1.8x^0.9y^0.8.

The above steps use the concept of partial derivatives of a function with respect to a variable that can be applied in such types of questions.

To know more about variable visit:

https://brainly.com/question/28248724

#SPJ11

The given function is

[tex]f(x,y) = x⁰.⁹ y¹.⁸[/tex]

Now, let's find the first derivative of the function with respect to x and y.

First derivative of the function with respect to x:

We have to use the chain rule here.

According to the chain rule,

the derivative of the outer function is multiplied by the derivative of the inner function.

The inner function is [tex]y¹.⁸,[/tex]

whose derivative with respect to x is 0.

Therefore, we only have to differentiate the outer function with respect to x.

[tex]f(x,y) = x⁰.⁹ y¹.⁸∂f/∂x = ∂/∂x (x⁰.⁹ y¹.⁸)∂f/∂x = 0.⁹x^(-0.1) y¹.⁸∂f/∂x = 0.⁹y¹.⁸/x^0.1[/tex]

First derivative of the function with respect to y:

We have to use the chain rule here.

According to the chain rule, the derivative of the outer function is multiplied by the derivative of the inner function.

The inner function is [tex]x⁰.⁹,[/tex]

whose derivative with respect to y is 0.

Therefore, we only have to differentiate the outer function with respect to y.

[tex]f(x,y) = x⁰.⁹ y¹.⁸∂f/∂y = ∂/∂y (x⁰.⁹ y¹.⁸)∂f/∂y = 1.⁸ x⁰.⁹ y^(0.8)∂f/∂y = 1.⁸x^0.9 y^0.8[/tex]

Hence, the first derivative of the given function with respect to x is

[tex]0.⁹y¹.⁸/x^0.1[/tex]

and with respect to y is [tex]1.⁸x^0.9 y^0.8.[/tex]

To know more about derivative, visit:

https://brainly.com/question/29144258

#SPJ11

The Arnold's took out a loan for $195,000 to purchase a home. At a 4.3% interest rate compounded annually, how much total will they have paid after 30 years?

Answers

Answer:

just interest = 251,550. Plus loan = 446,550

Step-by-step explanation:

195,000 x 0.043(interest as a decimal) = 8385 per year.

8385 x 30(years) = 251,550

The total of $446550 amount of money have to pay after 30 years at the rate of 4.3% of the principal amount of $195000.

What is compound interest?

Compound interest is applicable when there will be a change in principle amount after the given time period.

For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550 now for the next year the interest will be $550, not $500.

Given that

the principle amount of $195000

The rate of interest is 4.3%

Time period 30 years.

By compound interest formula

A = P × [tex](1 + 0.00r)^{n}[/tex]

where A is the total amount, P is the principal amount,r is the rate of interest and n is the total time period.

A = $195000[tex](1 + 0.043)^{30}[/tex]

A = $689546.985

For more information about compound interest

https://brainly.com/question/26457073

#SPJ2

x h(x)
-25 6
-13 0
-3 -5
0 -7
9 -11
11 -30
What is the average rate of change of h(x) over the interval -13 < x < 11 ?

Answers

Answer:

56

Step-by-step explanation:

Jenna works at a local sports bar and is interested in whether the percent tip she will receive is related to how many drinks people order. What test should she perform? O Correlation O ANOVA Independent samplest test O Single sample t test

Answers

She should perform a correlation test.

Jenna works at a local sports bar and is interested in whether the percent tip she will receive is related to how many drinks people order. What test should she perform?

She should perform a correlation test.

What is a correlation test?

A correlation test is a statistical method used to examine the relationship between two variables. It is used to determine the degree of association between two continuous variables.

How do you carry out a correlation test?

To perform a correlation test, follow these steps:

Step 1: Collect your data.

Step 2: Determine the level of measurement of each variable.

Step 3: Calculate the correlation coefficient.

Step 4: Determine the p-value.

Step 5: Interpret the results.

Therefore she should perform a correlation test

Learn more about correlation test here:

https://brainly.com/question/7305710

#SPJ11

Suppose NiceGirl is the set of all nice girls, Sailor is the set of all sailors, and loves is a relation between nice girls and sailors such that n loves s means that nice girls n loves sailor s. Make precise the sentence "All the nice girls love a sailor" to expose at least two distinct meanings of this ambiguous utterance.

Answers

The sentence "All the nice girls love a sailor" can be interpreted in at least two different ways when it comes to the given sets Nice Girl and Sailor and the relation loves between them.

They are: All the nice girls love the same sailor. This interpretation would mean that there exists a sailor s ∈ Sailor such that all the girls in the set Nice Girl love s, i.e., ∀n ∈ Nice Girl, n loves s. This interpretation assumes that there is only one sailor that is loved by all the nice girls.

2. Each of the nice girls loves a different sailor. This interpretation would mean that for every girl n ∈ Nice Girl, there exists a sailor s ∈ Sailor such that n loves s, but s may be different for different girls. This interpretation assumes that each nice girl loves a different sailor.

To know more about relation refer to:

https://brainly.com/question/1910271

#SPJ11

Suppose your favorite coffee machine oder 14 ounce cup of coffee the actual amount of coffee pot in the cup by the machine vanes according to a normal distribution with mean equal to 15 ounces and standard deviation equal to 0.65 ounces. What percentage of cups will be filled with less than 14 ounces?

Answers

Approximately 6.3% of cups will be filled with less than 14 ounces is the answer.

Given, mean = 15 ounces and standard deviation = 0.65 ounces

The actual amount of coffee in the cup by the machine vanes according to a normal distribution.

For this, we need to calculate the z-score as z=(X-μ)/σ

We need to find the percentage of cups that will be filled with less than 14 ounces of coffee.

For this, we will calculate the probability that X < 14. So, we need to find P(X<14).

For this, we will first calculate the z-score as z = (X - μ) / σ= (14 - 15) / 0.65= -1.538

Now, we will find the area to the left of the z-score using the standard normal distribution table or calculator:

Using the standard normal distribution table, we get the area as 0.0630.

The percentage of cups that will be filled with less than 14 ounces is 6.3%.

Thus, approximately 6.3% of cups will be filled with less than 14 ounces.

know more about standard deviation

https://brainly.com/question/12402189

#SPJ11

Determine the value of variables a, b, and c that make each equation true.
What is the value of a in this equation?
1
(14496
30
a
What is the value of b in this equation?
b=
What is the value of c in this equation?
(x2)° = 222

Answers

Answer:

77

Step-by-step explanation:

I got it right on my question

Suppose f(x, y) = x + , where 0 <= x <=1 0 <=y <= 2

Find P(Y - X< 1)

Answers

To determine the area of a region, we need to know the specific shape and dimensions of the region in question. The process for finding the area varies depending on the shape. P(Y - X < 1) = Area of region below y - x = 1 within the given constraints= 1/6 sq. units.

Given, f(x, y) = x + y, where 0 ≤ x ≤ 1 and 0 ≤ y ≤ 2 We are to find P(Y - X < 1)

Now, Y - X < 1 is the equation of the line in the XY plane. We have to find the area of the region below this line within the given constraints. To find this, we have to integrate over the region below the line,

i.e.,y - x = 1 implies x = y - 1∫∫R (x + y)dA = ∫₀² ∫₀^(y-1) (x + y) dx dy= ∫₀² [(y²/2) - y + (1/2)] dy= 1/6 sq. units.

To Know more about Area of region visit:

https://brainly.com/question/32362619

#SPJ11

Answer:

Step-by-step explanation:

Given function f(x, y) = x + y, where 0 ≤ x ≤ 1 and 0 ≤ y ≤ 2. The probability of P(Y - X < 1) is 1/4.

Now we have to find P(Y - X < 1).

The probability of (Y - X < 1) is given by:

P(Y - X < 1) = Area of the region {(x, y): y - x < 1} / Area of the region R.

Here R is the region bounded by 0 ≤ x ≤ 1 and 0 ≤ y ≤ 2.

We know that the function f(x, y) = x + y is a plane with slope 1, and intersects the y-axis at (0, 0) and the x-axis at (0, 0).

Now the line y - x = 1 intersects the plane at x = 0 and y = 1, so the intersection point is (0, 1).

Now the area of the region {(x, y): y - x < 1} can be found by finding the area of the triangle ABC as shown below: [tex]A=\frac{1}{2}Base×Height[/tex], Where base BC is of length 1 and height AB is of length 2 - 1 = 1.

Therefore, the area of the triangle ABC is:

Area of the triangle ABC = 1/2 × 1 × 1

= 1/2

The area of the region R can be found by finding the area of the rectangle with sides of length 1 and 2.

Therefore, the area of R is:

Area of R = 1 × 2

= 2

P(Y - X < 1) = Area of the region {(x, y): y - x < 1} / Area of the region RP(Y - X < 1)

= (1/2) / 2P(Y - X < 1)

= 1/4

Therefore, P(Y - X < 1) = 1/4.

To know more about Probability, visit:

https://brainly.com/question/31828911

#SPJ11

Let X denote the time to failure (in years) of a certain hydraulic component. Suppose the pdf of X is f(x) = 32/(x+4)³ for x < 0. a. Verify that f(x) is a legitimate pdf. b. Determine the cdf.C.

Answers

a. The function f(x) = 32/(x+4)³ for x < 0 is not a legitimate pdf

b. The function f(x) does not have a cumulative distribution function (cdf)

a. Verifying that f(x) is a legitimate pdf.

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

f(x) = 32/(x+4)³ for x < 0

The density function f(x) is a legitimate pdf if

∫ f(x) dx = 1

So, we have

[tex]\int\limits^{\infty}_{-\infty} {\frac{32}{(x + 4)^3} \, dx = 1[/tex]

Integrate the function

[tex]-\frac{16}{(x + 4)^2}|\limits^{\infty}_{-\infty} = 1[/tex]

Expand the equation

So, we have

[tex]-\frac{16}{(\infty + 4)^2} + \frac{16}{(-\infty + 4)^2} = 1[/tex]

Evaluate the exponents

-16/∝ + 16/∝ = 1

So, we have

0 + 0 = 1

Evaluate

0 = 1

The above equation is false

This means that f(x) is not a legitimate pdf.

b. Determine the cdf.

In (a), we proved that

f(x) is not a legitimate pdf.

This means that it does not have a cumulative distribution function (cdf)

Read more about probability distribution at

https://brainly.com/question/23286309

#SPJ4

M∠ACB = 52° , find m∠CBE =________°

Answers

Answer:

(1) It is given that line AB is tangent to the circle at A.

∴ ∠CAB = 90º     (Tangent at any point of a circle is perpendicular to the radius throught the point of contact)

Thus, the measure of ∠CAB is 90º.

(2) Distance of point C from AB = 6 cm    (Radius of the circle)

(3) ∆ABC is a right triangle.

CA = 6 cm and AB = 6 cm

Using Pythagoras theorem, we have

BC2=AB2+CA2⇒BC=

62+62

⇒BC=6

2

 cm

Thus, d(B, C) = 6

2

cm

(4) In right ∆ABC, AB = CA = 6 cm

∴ ∠ACB = ∠ABC      (Equal sides have equal angles opposite to them)

Also, ∠ACB + ∠ABC = 90º            (Using angle sum property of triangle)

∴ 2∠ABC = 90º

⇒ ∠ABC =

90°

2

= 45º

Thus, the measure of ∠ABC is 45º.

Step-by-step explanation:

Of all the animals admitted to the local pet hospital, 10 of them are dogs. They represent 25% of all the animals at the hospital. How many animals are at the hospital in total? A. 20 B. 30 C. 40 D. 50

Answers

Answer:

C. 40

Step-by-step explanation:

[tex]\frac{25}{100} = \frac{10}{y}[/tex]

[tex]\frac{1}{4} = \frac{10}{y}[/tex] (cross multiply)

40 = 1y (rewrite)

y = 40

Please help!
I don't understand, so if you can explain, that would be amazing. If you just give me an answer, that's ok too!

Answers

Answer:

3 units

Step-by-step explanation:

-1, 0, 1 ,2

( 1, 2 ,3)

Give the other person Brainliest :)

What value of n makes the
equation n x 3/4= 3/16 true

Answers

Answer:

1/4

Step-by-step explanation:

Try it if you don't believe me :)

The solution of the linear equation n x (3/4) = 3/16 will be 1/4.

What is the solution to the equation?

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 equation is given below.

n x (3/4) = 3/16

The degree of the equation is one. Then the equation will be a linear equation.

Simplify the equation, then the value of the variable 'n' is calculated as,

n x (3/4) = 3/16

n = (3/16) x (4/3)

n = 4/16

n = 1/4

The solution of the linear equation n x (3/4) = 3/16 will be 1/4.

More about the solution of the equation link is given below.

https://brainly.com/question/22613204

#SPJ2

how do I graph this linear equation?
4x+6y=-12​

Answers

Answer: Simplifying

Step-by-step explanation:

Simplifying

4x + 6y = 12

Solving

4x + 6y = 12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6y' to each side of the equation.

4x + 6y + -6y = 12 + -6y

Combine like terms: 6y + -6y = 0

4x + 0 = 12 + -6y

4x = 12 + -6y

Divide each side by '4'.

x = 3 + -1.5y

Simplifying

x = 3 + -1.5y

Then you get your answer I think or hopeful get your answer. I hoped this helped!

find the shaded region of the figure below​

Answers

add all of it i up and divide
Other Questions
correct these for me!! help me ........................... 2. The bikers for this year's cycling marathon was able to cover a distance of 105 km. How far itis in miles? How often should you update you check register Briefly explain mention two examples of a phenotype in human beings! Explain the function of elections in a democratic country. Joseph is a friend of yours. He has plenty of money but little financial sense. He received a gift of $12,000 for his recent graduation and is looking for a bank in which to deposit the funds. Partners' Savings Bank offers an account with an annual interest rate of 3% compounded semiannually, while Selwyn's offers an account with a 2.75% annual interest rate compounded continuously. Calculate the value of the two accounts at the end of one year, and recommend to Joseph which account he should choose. Collision theory states that when two molecules collide with each other with sufficient energy and hit in the proper orientation, abond is formed. Which action will increase the rate of reaction in a closed container?A)adding an inert gasB)expand the volumeC)increase the temperatureDdecrease the concentration Read the scenario. The state of Maine has the oldest population in the United States, with a median age of about 45. Nearly one in five people in Maine are senior citizens. Most senior citizens there are retirees.How does this situation affect businesses in Maine?Businesses have more options when choosing what to produce.Businesses must offer higher wages and benefits to attract workers.Businesses have difficulty finding customers for their goods and services.Businesses must make smart choices about the resources they purchase. Who is the narrator of this story 1. The narrator is the character echo 2. The narrator is the character narcissus3. The narrator is someone outside of the story4.The narrator is the character Artemis TIME REMAINING 57:59 Read the excerpt from "Nothing but Net. The fountain that was a centerpiece of activity in the summer was now vacant. Which word from the excerpt most describes the setting? fountain that was activity Driver Company Ltd has set the following standards for the production of one unit of product. Normal production each month is 500 units Standard Costs per unit: Direct materials: 8kg at $6.50 per kg Direct labour: 4 hours at $7.00 per hour During June, actual production amounted to 420 units. All direct material was purchased and used this month. Actual costs amounted to: Direct material: 3500kgs at a total cost of $21875 Direct labour: 1720 hours at a total cost of $12212 Required: Determine the standard material quantity allowed for June production Dos angulos interiores de un tringulo miden 45grados y 35grados respectivamente cul es la medida de el tercer ngulo interior Two angles are supplementary. The first angle is 3x degrees. The second angle is (2x + 25) degrees. Determine the measure of each angle. Can you help me with history? find the surface area to the nearest tenth I was forced to put a caption. We will study the individual units of the society; the consumer and the producer and their interactions in different market structures ranging from competition to monopoly. Students will also analyze the influence of these market structures on social welfare. In addition, students will be asked to reflect on the competing economic and ethical concerns of minimum wage legislation, taxation, provision of public goods and environmental protection.Students are required to write a minimum of 500 words (1000 total) doing at least two of the following:analyzing historical or contemporary perspectives on issues related to human society and organization, including a diversity of cultures;using that knowledge to compare solutions to complex problems; andexploring ethical modes of citizenship and collective action on local and global scales. what is the difference between malleability and ductile ??Please don't post invalid answer please..!!Please post correct answer please..!! Must a person challenge authority to be a hero?