Find the area of the shaded polygons:

Find The Area Of The Shaded Polygons:
Find The Area Of The Shaded Polygons:

Answers

Answer 1

Answer:

10

4

Step-by-step explanation:

Purple: This makes two trapezoids. A=(a+b)/2 times h

1st = (4+1)/2 x 1 = 2.5  

2nd = (4+1)/2 x 3 = 5/2 x 3 = 2.5x3=7.5

Total = 2.5+7.5=10

Green: if you draw a line down the center, you can divide these into two more manageable triangles. A=1/2bh

1st = 1/2x2x2 = 2

2nd = 1/2x2x2 = 2

Total = 2+2=4

Answer 2

Answer:

Purple : 10 sq. un

Green : 4 sq. un

Step-by-step explanation:


Related Questions

helppppppp (08.06 MC)Consider the following dot plot. Of the following statements, which two characteristics of this dot plot make the median a better choice than the mean to summarize the center of the distribution?

Answers

Answer:

the data are skewed, D.

Step-by-step explanation:

Algebra help needed

Answers

Answer:

The ball will reach the ground when h=0.

Set the equation equal to 0.

[tex]0=-8(2 t-4)(t+1)[/tex]

[tex]t=-1,2[/tex]

Step-by-step explanation:

The height of a golf ball after it has been hit from the top of a hill can be modeled by the equation

[tex]h=-8(2 t-4)(t+1)[/tex],

where h is the height in feet and t is time in seconds.  

When ball will reach the ground the distance between ball and ground is 0. So, the ball will reach the ground when h=0.

To find the time it takes for the ball to reach the ground,  set the equation equal to 0 and use the Zero Product Property to solve for $t$.

[tex]h=-8(2 t-4)(t+1)[/tex]

[tex]\Rightarrow 0=-8(2 t-4)(t+1)[/tex]

Solve the equation using the Zero Product Property.

[tex]2t-4=0\Rightarrow t=\dfrac{4}{2}=2[/tex]

[tex]t+1=0\Rightarrow t=-1[/tex]

So, [tex]t=-1,2[/tex]

what is the area of 1/4 of a circle with a radius of 10

Answers

Answer:

78.5

Step-by-step explanation:

It is 78.5 because you first get the area of the circle, which is 314. Then divide 314 by 4 to get 78.5

The area of 1/4 of a circle with a radius of 10 is 78.5 units²

Given,

1/4 of a circle.

Radius = 10

π = 3.14

We need to find the area of 1/4 of a circle.

What is the area of a circle?

It is given as:

Area = πr²

Find the area of 1/4 of a circle.

We have,

Area of a circle = πr²

Radius = 10

1/4 area of a circle:

= 1/4 x πr²

= 1/4 x 3.14 x 10²

= 1/4 x 3.14 x 100

= 78.5 units²

Thus the area of 1/4 of a circle is 78.5 units²

Learn more about finding the circumference and area of a circle here:

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How can someone tell me the perimeter of this please

Answers

Answer:

[tex]\boxed{\sf \ \ 36 \ \ }[/tex]

Step-by-step explanation:

Hello,

We need to sum all sides, we know all of them except two sides that we can guess as this is

for the horizontal one 11 - 2 - 2 - 2 = 11 - 6 = 5

for the vertical one 5 - 3 = 2

so in total it comes

11 + 5 + 2 + 2 + 2 + 2 + 2 + 2 + 5 + 3 =16 + 12 + 8 = 16 + 20 = 36

hope this helps

Answer:36 Explanation: 11+3+5+2+2+2=36

Line p conatians point (6,-5) and is perpendicular to line q. The equation for line q is y=3x+5. Write the equation for line p.

Also need the slow of line p

Answers

Answer:

y + 5 = (1/3)(x - 6)

Step-by-step explanation:

Line p is perpendicular to line q, and therefore the slope of line p is the negative reciprocal of the slope of line q:  -1/3.

Starting with the point-slope formula y - k = m(x - h), we get

y + 5 = (1/3)(x - 6)

In 2005 , 12.1 out of every 50 employees at a company were woman if there are 49,239 total company employees estimate the number of women

Answers

Answer:

11915.8 when rounded up to the nearest tenth

Step-by-step explanation:

When you dived 12.1 by 50 to get the percent of people that fit this category, you get .242 or 24.2% you can use this number to figure out the precentage of employees who are woman by multiplying this number into 49,239 people to figure out what precent of people are woman

Hope this helps :D

Answer:

11915.8 when rounded up to the nearest tenth

Step-by-step explanation:

Jerry solved the system of equations. x minus 3 y = 1. 7 x + 2 y = 7. As the first step, he decided to solve for y in the second equation because it had the smallest number as a coefficient. Max told him that there was a more efficient way. What reason can Max give for his statement? The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution. The variable x in the second equation has a coefficient of 7 so it will be easy to divide 7 by 7. The variable y in the second equation has a coefficient of 2 so it will be easy to divide the entire equation by 2. The variable x in the second equation has the largest coefficient. When dividing by 7, the solution will be a smaller number.

Answers

Answer:

The reason Max will give is:

The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.

Step-by-step explanation:

x - 3y=1

7x+2y=7

Jerry's way of solving the equation

2y=7-7x

Divide both sides by 2

2y/2=7-7x/2

y=7-7x/2

Substitute y=7-7x/2 into (2)

7x+2y=7

7x+2(7-7x/2)=7

This is a complex way of solving the equation

Max's proposed efficient way

x - 3y=1 (1)

7x+2y=7 (2)

From (1)

x=1+3y

The reason Max will give is:

The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.

Substitute x=1+3y into (2)

7x+2y=7

7(1+3y)=7

7+21y=7

Divide through by 7

1+y=7

y=7-1

y=6

Is the efficient way that Max proposed

Answer:

A

Step-by-step explanation:

Brainliest?

Gary ordered 30 pizzas for a party. 60% of the pizzas have 12 slices each. The remaining 40% of the pizzas have 10 slices each. Complete the model. Then complete the statements to find the total number of slices of pizza

Answers

1) 18 pizza with 12 slices
2) 12 pizzas and with 10 slices
3) 336 slices of pizza

Statement #1:

Since there are 30 total pizzas then the amount of pizzas with 12 slices is 60% of 30 which is 18. Then you can multiply 18 by 12 to get the amount of slices in the large pizzas with 12 slices:

18 × 12 = 216

-----------------------------------------------------------------------------------------------------------------

60% of the pizzas have 12 slices each. In total, there are 216 slices in these pizzas.

Statement #2

There are 12 remaining pizzas which means that 12 × 10 = 120 is the amount of slices in total of the smaller pizzas.

-----------------------------------------------------------------------------------------------------------------

40% of the pizzas have 10 slices each. In total, there are 120 slices in these pizzas.

Statement #3

To get the total amount of pizzas you simply add both of the previous solutions:

216 + 120 = 336

-----------------------------------------------------------------------------------------------

Altogether, there is a total of 336 slices of pizza.

PLEASE HELP ME I DONT UNDERSTAND THIS QUESTION

Answers

I attached a picture to this

The perimeter of a triangle is 88 centimeters. If two sides are equally long and the third side is 10 centimeters longer than the​ others, find the lengths of the three sides. The length of each of the two equally long sides is ____(centimeters,square centimeters) and the length of the longer side is ____ (square centimeters,centimeters).

Answers

Answer:

P=2x +2y

2x=2y-p

As given that 2x=2(10)+88

x=108/2

x=54cm

May be it's help you;)

Answer:

The length of each of the two equally long sides is 26 cm

The length of the longer side is 36 cm

Step-by-step explanation:

Let the length of each of the two equal sides be represented by x

The other side = 10 + x

Perimeter of triangle (P) = sum of all sides of the triangle

88 = x + x + 10 + x

88 = 3x + 10

3x = 88 - 10

3x = 78

x = 78/3 = 26

Length of each of the two equally long sides (x) = 26 cm

Length of the longer side = 10 + x = 10 + 26 = 36 cm

A line passes through the point (6,1)and has a slope of 3/2. write an equation in slope intercept form

Answers

Answer:

Step-by-step explanation:

Slope intercept form :  y - y1 = m(x -x1)

m = 3/2

(x1, y1) = (6, 1)

[tex]y - 1 = \frac{3}{2}(x - 6)\\\\y -1 = \frac{3}{2}*x -\frac{3}{2}*6\\\\y-1=\frac{3}{2}x-3*3\\\\y-1=\frac{3}{2}x-9\\\\y=\frac{3}{2}x-9+1\\\\y=\frac{3}{2}x -8[/tex]

Answer:

y=3/2 x  -8

Step-by-step explanation:

The slope should be in front of the x and the y intercept should be right after the x to create the slope intercept form. I used a graphing calculator which continued the line of 6,1 with a slope of 3/2 and then got

y=3/2x-8

Solve the inequality $2x - 5 \le -x +12$. Give your answer as an interval.

Answers

Answer:

[tex]$\left(-\infty, \frac{17}{3} \right]$[/tex]

Step-by-step explanation:

[tex]2x - 5 \le -x +12[/tex]

[tex]2x - 5 +5\le -x +12+5[/tex]

[tex]2x\le -x+17[/tex]

[tex]3x \le17[/tex]

[tex]$x \le \frac{17}{3} $[/tex]

We have

[tex]$\{x \in \mathbb{R}:x \le \frac{17}{3} \}$[/tex]

Interval notation:

[tex]$\left(-\infty, \frac{17}{3} \right]$[/tex]

ΔPQR is located at P (−3, −3), Q (0, 0), and R (3, −3). Which statement correctly classifies ΔPQR?

Answers

Answer:

Isosceles Triangle

Step-by-step explanation:

An equilateral triangle is a triangle that has all of its 3 sides at an equal length. After drawing out the given points on a graph, you can clearly see that the foundation is longer than the other 2 sides. Because the 2 sides that I just mentioned happen to be of equal length, however, means that this triangle can be none other than an Isosceles triangle. If I did anything wrong here, let me know. Have a good rest of your day.  :D

Answer:

ΔPQR is an isosceles triangle.

Step-by-step explanation:

five sixths of a number equals 200. What is the number?

Answers

Answer: 240

Step-by-step explanation:

5/6x=200

(6/5)5/6x=200(6/5)

1x=40(6/1)

x=40(6)

x=240

Plz help meeeeee 9q=81

Answers

Answer:

q=9

Step-by-step explanation:

9q=81

Divide each side by 9

9q/9=81/9

q = 9

Answer:

Q=9

Step-by-step explanation:

SO BASICALLY TO REMOVE THE 9 FROM ONE SIDE WE DIVIDE BOTH SIDES OF THE EQAUTION BY 9

9Q/9=81/9

WHICH SIMPLIFIES TO

Q=9

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

              ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                             PEACE!

please hurry write a vector equation of a line that passes through p(-4,12) and is parallel to q=(14,-8)

Answers

The line containing the vector q can be obtained by scaling q by an arbitrary scalar t. To make this line pass through the point p, translate this line by a vector p pointing from the origin to p.

So the line we want has equation

r(t) = qt + p = (14, -8)t + (-4, 12) = (14t - 4, 12-8t)

where t is any real number.

The Vector Equation which passes through point p(-4, 12) and parallel to q(14, -8) is r(t) = (14t-4, 12-8t).

What is a vector equation?

A vector equation is an equation involving a linear combination of vectors with possibly unknown coefficients.

Here, the line containing the vector q can be obtained by scaling q by an arbitrary scalar t. To make this line pass through the point p, translate this line by a vector p pointing from the origin to p.

r(t) = q*t + p

r(t) = (14, -8)t + (-4, 12)

r(t) = (14t - 4, 12-8t)

where t is any real number

Thus, the Vector Equation which passes through point p(-4, 12) and parallel to q(14, -8) is r(t) = (14t-4, 12-8t).

Learn more about vector equations on:

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Which equation gives the length of the altitude of ABC?

Answers

Answer:

B. AD = sqrt(CD * BD)

Step-by-step explanation:

By the right triangle altitude theorem,

CD/AD = AD/BD

AD^2 = CD * BD

AD = sqrt(CD * BD)

Answer: B. AD = sqrt(CD * BD)

Answer:

B

Step-by-step explanation:

[tex]$\frac{CD}{AD} =\frac{AD}{BD} $[/tex]

[tex]AD^2=CD \cdot BD[/tex]

[tex]AD=\sqrt{CD \cdot BD}[/tex]

In this question, you are clearly supposed to use the geometric mean theorem or known as the right triangle altitude theorem. But note that there are other approaches to find the height of the triangle.

Using Pythagorean theorem:

[tex]AD^2+CD^2=AC^2 \Rightarrow AD=\sqrt{AC^2-CD^2}[/tex]

Also,

[tex]AD=AC\sin(c)[/tex]

Which system of equations represents the matrix shown below?
11
2 -18
0 3 15
-2 4 18
1
x + 2y + Z-8
O A. x+y+3z = 15
x + 2y + 4z = 18
x+2y - z- 8
B. -x +32 - 15
x - 2y + 4z = 18
X+2y- Z=8
O C. -X+ y + 3z = 15
X-2y + 4z = 18
x+2y + z = 8
D. X+37 = 15
x +2y + 4z = 18

Answers

Answer:

its b.

Step-by-step explanation: 5n − 19 + n + 7 = 144 − 6n

6n − 12 = 144 − 6n

12n = 156

n = 13

m∠z = (144−6n)°

m∠z = (144−6×13)°

m∠z = 66°

Find the slope of the line graphed. A)1/2 B)1 C)2 D)4

Answers

Answer:

Slope is 2. Y-intercept is -2

Step-by-step explanation:

To find slope look how many it goes up and right. So 2 up and 1 right will give a slope of 2. The y-intercept is -2 because it touches the y-axis.

Answer:

2

Step-by-step explanation:

To find this you would just look at two points that the line will cross. The 2 pairs or coordinates that are the most obvious to me are (0,-2) and (1,0) so then we would do an equation that is [tex]y_{2}[/tex] (which is the second y in this case 0) minus [tex]y_{1}[/tex](First y in this case -2) over or / [tex]x_{2}[/tex](second x in this case 1) minus [tex]x_{1}[/tex](first x in this case 0) so when we plug in into the equation is is [tex]\frac{0-(-2)}{1-0}[/tex] which will be simplified to [tex]\frac{2}{1}[/tex] so the slope would be 2.

Another simpler way to solve this is to is just to count the distance between the 2 slopes so we would go up 2 to get to 0 and over 1 which would be [tex]\frac{2}{1}[/tex] or 2.

the population of weston is 4320. the towns records shot that 45% of the population are males, and 2/3 of these males are married. how many males in weston are married?​

Answers

Answer:

1296 males

Step-by-step explanation:

Males in Weston: 4320*0.45 = 1944

Married Males in Weston: 1944*2/3 = 1296

Answer:

Answer is 1296 (For me if I add commas it would mark my answer wrong)

Step-by-step explanation:

PLEASE HELP!!

Match the expression to its simplified form.
5*-2
1/25
2*5
1/16
2*-4
32
5*3
125

Answers

Step-by-step explanation:

5^-2= 1/25 (as when taken up 25 it becomes 5^-2).2^5= 32 (when we multiply 2 for 5 times, we get 32).(2×2×2×2×2)2^-4=1/16 (as when we take up 16 we get 2^-4)5^3=125 (when we multiply 5 for 3 times we get 125)(5×5×5)

Hope it helps...

Answer:

The picture should be easier to look at :)

Step-by-step explanation:

Just got it right on edge 2020

Find the partial sum of the first 4 terms of the series:
5n + 2
n=1
60
58
85
None of these

Answers

Answer:

[tex]\large \boxed{\sf \ \ \sum_{n=1}^{n=4} (5n + 2) = 58 \ \ }[/tex]

Step-by-step explanation:

Hello,

We need to compute the following:

[tex]\displaystyle \sum_{k=1}^{k=4} (5\cdot k + 2)= (5*1+2) + (5*2+2)+ (5*3+2) + (5*4+2)\\\\=7 + 12 + 17 + 22 = 19 + 39 = 58[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

from least to greatest -9, 12/20, 1/5

Answers

Answer:

-9, 1/5, 12/20

Step-by-step explanation:

-9 is negative so it will always be the least. It helps to turn the fractions into decimals. To do this, you can just divide 1 by 5 and 12 by 20.

1/5 = .2

12/20 = .6

So, 1/5 is less than 12/20.

This makes the order -9, 1/5, 12/20.

Answer:

-9, 1/5 12/20

Step-by-step explanation:

Use 0 as a border.

All numbers less than 0 on one side the rest on the other.

You will have -9 on less than zero and 1/5, 12/20 on the other side.

So -9 is the least.

Now you have 1/5, and 12/20.

Make the denominators equal.

1/5 x 4/4= 4/20, 12/20 x 1/1 = 12/20

Compare the Numerators.

4 is less than 12.

So the answer is -9, 1/5, 12/20.

Feel free to ask questions.

What is the length of BC given that figure ABCD is a rectangle

A. 11
B. 8
C. 16
D. 22

Answers

Answer:

C, 16

Explanation:

A rectangle has 4 sides, two of which have equal side lengths (the ones across from each other.) BC is equal to AD because of this rule. Hope this helps!

The measure of length BC of the rectangle will be 16 units. Then the correct option is C.

What is a rectangle?

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees.

From the diagram, we have

AD = BC = 16 units

Then the correct option is C.

More about the rectangle link is given below.

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Select all the examples of categorical data.

colors
number of siblings
favorite pet
profits
genre of music

Answers

The answer is colors, favorite pet, genre of music. When a question asks for categorical data, the answer will never be a number.

Answer:

The answer is colors, genre of music, favorite pet

Step-by-step explanation:

can someone help please? i’ll give brainliest

Answers

Answer:

Assuming that t = toppings, then the inequality is 9.25+0.75t ≤ 13.75. Solution is 6.

Step-by-step explanation:

Let's define toppings as [tex]t[/tex].

If the original cost of a pizza is $9.25 and each topping costs $0.75, we can find how much the toppings would cost by multiplying 0.75 by t, the amount of toppings. Adding this to 9.25 would give us the expression needed to find the cost.

[tex]9.25 + 0.75t[/tex]

If you want to spend NO MORE than 13.75, it's ok to spend $13.75, so we write the equation with a ≤ symbol (less than or equal to).

9.25+0.75t ≤ 13.75

Now lets solve the equation.

We can subtract 9.25 from both sides, which gets us

0.75t ≤ 4.5

Now we can divide both sides by 0.75 to isolate t.

t ≤ 6

So, the maximum number of toppings you can order is 6.

Hope this helped!

Answer:

6

Step-by-step explanation:

so default for pizza is 9.25

and toppings vary depending on number so 0.75x

so I guess 9.25+0.75x<=13.75-variable

equation-9.25+0.75x=13.75

solve to get 0.75x=4.5

x is 6 not sure

HEYY! REALLY SIMPLE QUESTION : ) …..the strange creature moved slowly making terrifying sounds. It looked around…. (Write a story using the following cues somewhere in the story) I JUST NEED SUM IDEAS PLS : ) also ik this is not a math question but oh well I guess..... THANK U!

Answers

Answer:

so u could write about its teeth

Step-by-step explanation:

and its legs or its scary presence or its long arms and it erupted from a haunted house

hope this helps : )

i would appreciate it if you can heart and like this answer and maybe even give it 5 stars or brainliest

suddenly it stared dead onto stacy ...the creature smelled her strawberry shampoo anyone can really-

About how much money would 18 pounds of cheese cost if the price is $3.95 per pound? Use two different ways to estimate the product. Are your estimates overestimate or underestimate? Explain.

Answers

1. this way is overestimating

assume that you are getting 20 pounds of cheese. that is 2 tens. so multiply 3.95 by 10 = 39.5 thats the price for 10 pounds of cheese. Since we're estimating to get 20 pounds, multiply by two or add 39.5 together twice. 79 dollars this is overestimating since you're raising the amount of cheese you're buying by 2 pounds

2. his way is overestimating

assume its 4 dollars per pound. 18*4 would be 10*4 + 8*4= 40+32 = 72 dollar

this is overestimating because you're raising the price of the cheese by 5 cents.

Answer: 71.1

Step-by-step explanation: Its really simple actully so what you do is you take 3.95 and you mulitply is by 18 or you can add 3.95 plus 3.95 18 times and you get drum roll please 71.1$. I hope my answer was help ful

Chad washes windows after school to make some extra money. He charges $5.50 to wash each window. If the customer provides the supplies, Chad deducts $3.25 from the total cost. One customer paid a total of $35.25 and did provide supplies. Which equation could be used to find the number of windows, w , that Chad washed for this customer? A) 5.5 w + 3.25 = 35.25 B) 5.5 w - 3.25 = 35.25 C) 5.5 w = 35.25 D) 5.5 - 3.25 w = 35.25

Answers

Answer: D is correct if it is really (5.5-3.25)w=35.25

(Without parenthesis it doesn't work)

Answer:

B) 5.5 w - 3.25 = 35.25

Step-by-step explanation:

Chad charges $5.50 per window. ( 5.50w )

Since Chad's customer brought supplies, Chad would deduct $3.25. ( - 3.25)

The customer would be charged $35.25 at the end. ( = 35.25 )

So, the total of the cost of the windows minus the discount would be $35.25.

5.50w - 3.25 = 35.25

Option B's equation would be most appropriate to solve for w.

The table shows the number of minutes Garrett practiced his trombone each week in one month. Week Number of Minutes Practiced 1 190 2 163 3 327 4 205 What is the mean number of minutes Garrett practiced his trombone each week? A. 197.5 B. 177 C. 245 D. 221.25

Answers

Answer:

[tex]\bar X= \frac{\sum_{i=1}^n X_i}{n}[/tex]

The reason is because we assume that each week have the same weight and replacing we got:

[tex]\bar X= \frac{190+163+327+205}{4}= 221.25[/tex]

And the best option would be:

D. 221.25

Step-by-step explanation:

For this case we have the following data given

Week       1       2         3       4

Minutes  190   163   327   205

For this case we can find the mean with the following formula:

[tex]\bar X= \frac{\sum_{i=1}^n X_i}{n}[/tex]

The reason is because we assume that each week have the same weight and replacing we got:

[tex]\bar X= \frac{190+163+327+205}{4}= 221.25[/tex]

And the best option would be:

D. 221.25

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According to Marcia, which of the following four categories of identity development leads to the most psychological health, achievement motivation, and moral reasoning ability in adolescents?a) identity diffusionb) identity foreclosurec) moratoriumd) identity achievement For a stock to be in equilibrium, that is, for there to be no long-term pressure for its price to depart from its current level, then a.the expected future return must be less than the most recent past realized return. b.the past realized return must be equal to the expected return during the same period. c.the expected future returns must be equal to the required return. d.the required return must equal the realized return in all periods. e.the expected return must be equal to both the required future return and the past realized return. A monopolist has four distinct groups of customers. Group A has an elasticity of demand of 0.2, B has an elasticity of demand of 0.8, C has an elasticity of demand of 1.0, and D has an elasticity of demand of 2.0. The group paying the highest price for the product will be which claim is an example of a controversial argument? A. Moving across the country can be both frightening and exciting B. Colleges put too much emphasis on standardized test scores C. Dogs and cats are two most popular pets in the United States D. Hawaii became a part of the United States on august 21, 1959 answer the question briefly: How can atom collapse and why are atoms stable? in order to study the effects of loud noise on worker productivity, Dr. McDuffee had one group of research participants work in a noisy room and a second group work in a quiet room. Those who worked in the quiet room were exposed to the I need answers for 1 , 2, 4 Solve the proportion 26/z = 13/22 Dylan uses the expressions (x2 2x + 8) and (2x2 + 5x 7) to represent the length and width of his bedroom. Which expression represents the area (lw) of Dylan's room? Solve. 8x + 5 = 35 Round to the nearest hundredth. Enter your answers in the boxes. The solutions are approximately and . Hancock Company has 900,000 shares authorized and 350,000 shares issued and outstanding of its $2 par value common stock. The stock is currently selling for $20 per share. If Hancock Company declared and distributed a 30% stock dividend, what journal entry would the company make Suppose Asarta Inc. is polluting yucko and they have been tasked with cleaning up some of their waste. The company decides to clean up Q tons of yuckoare they cleaning up enough? If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) = C(x)/x. Consider the cost function C(x) given below. C(x) = 54,000 + 130x + 4x3/2 (a) Find the total cost at a production level of 1000 units. (Round your answer to the nearest cent.) $ (b) Find the average cost at a production level of 1000 units. (Round your answer to the nearest cent.) $ per unit (c) Find the marginal cost at a production level of 1000 units. (Round your answer to the nearest cent.) $ per unit (d) Find the production level that will minimize the average cost. (Round your answer to the nearest whole number.) units (e) What is the minimum average cost? (Round your answer to the nearest dollar.) $ per unit And then I explained to him how naive we were, that theworld did know and remain silent. And that is why I sworenever to be silent whenever and wherever human beingsendure suffering and humiliation. We must always takesides. Neutrality helps the oppressor, never the victim.Silence encourages the tormentor, never the tormented.Sometimes we must interfere. When human lives areendangered, when human dignity is in jeopardy, nationalborders and sensitivities become irrelevant. Wherever menand women are persecuted because of their race, religion,or political views, that place must at that moment -become the center of the universe.- Elie Wiesel, Nobel Prize acceptance speech, 1986What does Wiesel feel the world must do when faced with human suffering?A. Remain neutral and not interfereB. Wait and see what happensC. Be silent and allow it to continueD. Say something to try to stop it Brendon is walking home from a place that is 1.5 miles away. The function y = 7,920 270x represents Brendons distance in feet from home, y, in relation to the number of minutes he walks, x. Bryan is also walking home. Every 15 minutes, he writes down the number of feet left to reach home, as shown in the table.MinutesFeet08,000153,800Which statements about this situation are true?Brendon walks faster.Bryan walks faster.Brendon and Bryan walk at the same speed.Brendon was farther away from home when he started walking.Bryan was farther away from home when he started walking.Brendon and Bryan were an equal distance from home when they started walking. ------------neutral particles in an atom