La teoría electromagnética determina que toda variación de un campo eléctrico genera un campo magnético y toda variación de un campo magnético genera: a. Energía cinética b. Energía potencial c. Corriente eléctrica d. Energía nuclear

Answers

Answer 1

Answer:

c. Corriente eléctrica.

Step-by-step explanation:

Cuando un campo magnético cambia en intensidad y alrededor de esa región se encuentra un conductor eléctrico, tal cambio en la intensidad induce una corriente eléctrica en ese conductor. Ese es el principio de los generadores de corriente o generadores eléctricos.  

Este principio es conocido como la Ley de Faraday de Inducción Electromagnética, estudiada por Michael Faraday (1791-1867) y es parte fundamental de la Teoría Electromagnética.

En líneas generales, este principio de Faraday y el hecho de que la variación de un campo eléctrico genere un campo magnético, principio descubierto por Hans Christian Oersted (1777-1851), y que sostiene que la variación de la corriente eléctrica en un conductor genere alrededor de éste un campo magnético (principio de los electroimanes), son complementarios y podría decirse que son los pilares de la Teoría Clásica del Electromagnetismo, cuyas leyes están descritas matemáticamente en las ecuaciones de Maxwell, llamadas así por James Clerk Maxwell (1831-1879), quien se basó principalmente en los resultados de Faraday para formularlas.


Related Questions

What is the graph of the system y = -2x + 3 and 2x + + 4y = 8?

Answers

Answer:what are you solving it by

Step-by-step explanation:

Select the correct answer from each drop-down menu. Polygon ABCDE rotates 45° clockwise about point F to form polygon FGHIJ, shown in the figure. Find the measure of each angle of polygon ABCDE. m∠ABC = ° m∠BCD = ° m∠DEA = ° m∠CDE = °

Answers

Answer and Step-by-step explanation:

As it is mentoned in the question

Polygon ABCDE rotates around point F in clockwise direction to create polygon FGHIJ

And as we can see in the figure that

So we conclude that

A = F ⇒ 117°

B = G ⇒ 90°

C = H ⇒ 127°

D = I ⇒ 90°

E = J ⇒ 117°

Therefore this is the answer and the same is to be considered

Answer:

m∠ABC = 90117127°m∠BCD = 90117127°m∠DEA = 90117127°m∠CDE = 90117127°

Step-by-step explanation:

After the first 4 quizzes, Ron’s quiz average is an 87. There are two quizzes remaining for the quarter and the maximum score for any individual quiz is 100. What is the minimum grade Ron can score on one of these two quizzes and still score high enough on the other so that the final quiz average of the six quizzes is at least a 90?

Answers

Answer:

Minimum = 92 ; maximum =100

Step-by-step explanation:

Total number of quizzes = 6

Number of completed quizzes = 4

Number of quizzes left = 2

Average score on completed quizzes = 87

Target average = 90

Maximum score for any individual quiz = 100

Current total score on the 4 quizzes to obtain an average of 87:

87 * 4 = 348

To obtain an average of 90:

Total score must in the six quizzes must be :

90 * 6 = 540

Therefore total score needed in the remaining 2 quizzes to attain an average of 90:

540 - 348 = 192

Since the highest attainable score is 100:

Maximum score Ron can attain on one quiz = 100

Minimum he can attain in the other = 192 - 100 92 in other to score an average of 90 in the six quizzes.

NEED HELP ASAP!! RESPOND AS QUICK AS POSSIBLE!!!

Answers

Answer:

d

Step-by-step explanation:

google

what is the method and answer for brainliest

Answers

Equal steps mean each number is the same distance from the previous one

From -2 to 28 is 28 units

There are 4 spaces between the numbers

28/4 = 7

Each number is in increase of 7

-2 + 7 = 5

5+7 = 12

12+7 = 19

19+7 = 26

The third number would be 12

John is filling a bathtub that is 12 inches deep. He notices that it takes two minutes to fill the tub with three inches of water. He estimates it will take 10 more minutes for the water to reach the top of the tub if it continues at the same rate. Is he correct?

Answers

Answer:

No

Step-by-step explanation:

2 = 3 inches

2x5=10

10 = 3x5 of 15 inches

so no and it would take 8 minutes to fill up the tub

Hi can any one please help me I really need help please help me I need help

Answers

Answer:

1(a)1,030,000+0.13x

(b)$1,030,026

2. (a)Base and Index

(b)See Explanation

Ste-by-Step Explanation

(a)Total Amount to be paid to the four actors

=500,000+(300,000+0.02x)+(150,000+0.03x)+(80,000+0.08x)

Collect like terms

=500,000+300,000+150,000+80,000+0.02x+0.03x+0.08x

[tex]\text{Total Amount Paid= }1,030,000+0.13x[/tex]

(b)When x=200

[tex]\text{Total Amount Paid= }1,030,000+0.13(200)\\=1,030,000+26\\=$1,030,026[/tex]

Question 2

(a)The two parts of a power are the base and index.

Take, for example, the expression: [tex]a^b\\[/tex]

[tex]a$ is the base\\b is the index[/tex]

Another example using numbers is: [tex]10^3[/tex]

In this case:

[tex]10$ is the base\\3 is the index[/tex]

(b)Like terms are terms that have the same letter/variable attached to them.

For example, the following pairs are like terms

8x and 3x4y and -9y6pq and pq3 and 3

These, however, are not like terms

3 and 3y4x and 4y

Given: In ΔBLU, LE ⟂ BU , and BL ≅ UL Prove: ΔBEL ≅ ΔUEL STATEMENT REASON 1. LE⟂ BU and BL ≅ UL 1. Given 2. LE ≅ LE 2. Reflexive Property 3. ΔBEL ≅ ΔUEL 3. _______________ Which of the following choices will complete the reasoning for statement #3? A SSA B AAA C HL D None of these choices are correct.

Answers

Answer:

I think it is C

Step-by-step explanation:

The equation of a circle is given below. ( x + 8 3 ) 2 + y 2 = 1 (x+ 3 8 ​ ) 2 +y 2 =1left parenthesis, x, plus, start fraction, 8, divided by, 3, end fraction, right parenthesis, squared, plus, y, squared, equals, 1 What is its center? ( (left parenthesis , ,comma ) )right parenthesis What is its radius? If necessary, round your answer to two decimal places. units

Answers

Answer:

The center  is (-8/3,0) and the radius is 1

Step-by-step explanation:

(x+8/3)^2 + y^2 = 1

We know the equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius

Rewriting

(x- -8/3)^2 + (y-0)^2 = 1^2

The center  is (-8/3,0) and the radius is 1

Find the volume of the cylinder

Answers

Answer:

see below

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We know the radius is 9 and the height is 20

V = pi  ( 9)^2 ( 20)

V = 1620 pi

If we approximate pi by 3.14

V =5086.80 cm^3

If we approximate pi by pi button

V =5089.3800099 cm^3

Answer:

V=5089.380099cm^3

Step-by-step explanation:

V=πr^2h

V=π(9)^2(20)

V=π(9)^2(20)

V=5089.380099cm^3

Trey is running for president of the chess club, and he received 8 votes. There are 80 members in the club. What percentage of the club members voted for Trey?

Answers

Answer:10

Step-by-step explanation:

8/80=1/10*100=10

what is the solution to this equation x/5=30

Answers

Answer:

x= 150

Step-by-step explanation:

X/5 = 30

x = 5×30

x= 150

Answer:

150

Step-by-step explanation:

[tex]\frac{x}{5}[/tex] = 30

→ Multiply both sides by 5 to isolate x

x = 150

H(x)=4x-2;find h(-9)

Answers

Answer: h(-9)=4*(-9)-2=-36-2=-38

-38 is ur answer

Answer:-38

Step-by-step explanation:h(x) =4x -2

H(-9)

substitute for x using -9

H(-9) =4x -2

4(-9) -2

-36-2

H(-9) =-38

simplify radical sign 16a^8b^-2

Answers

Answer:

[tex] \frac{ {4a}^{4} }{b} [/tex]

solution,

[tex] \sqrt{16 {a}^{8} {b}^{ - 2} } \\ [/tex]

Use negative power rule:

[tex] {x}^{ - a} = \frac{1}{ {x}^{a} } [/tex]

[tex] \sqrt{ {16}^{8} \times \frac{1}{ {b}^{2} } } \\ [/tex]

Simplify:

[tex] \sqrt{ \frac{ {16a}^{8} }{ {b}^{2} } } \\ = \frac{ \sqrt{ {16a}^{8} } }{ \sqrt{ {b}^{2} } } \\ [/tex]

Use this rule:

[tex] \sqrt{ab} = \sqrt{a} . \sqrt{b} [/tex]

[tex] \frac{ \sqrt{16. \sqrt{ {a}^{8} } } }{ \sqrt{ {b}^{2} } } [/tex]

Since, 4*4=16 ,the square root of 16 is 4

[tex] \frac{ \sqrt{ {4}^{2} } \sqrt{ {a}^{8} } }{ \sqrt{ {b}^{2} } } \\ = \frac{4 \sqrt{ {a}^{8} } }{ \sqrt{ {b}^{2} } } [/tex]

Simplify:

[tex] \frac{4 \: \sqrt{ {(a}^{4) ^{2} } } }{ \sqrt{ {b}^{2} } } \\ = \frac{4 {a}^{4} }{b} [/tex]

Hope this helps...

Good luck on your assignment...

The numbers -1/5 and -5 are 'negative reciprocals.' True or False?

Answers

Answer:

False

Step-by-step explanation:

The negative reciprocal of -1/5 would be 5, and the negative reciprocal of -5 is 1/5. A way to double-check is all negative reciprocals add to -1.

-1/5 + -5= -5 1/5

Hope this helps and you understand negative reciprocals more for future problems ahead.

Solve each system by the addition method.
x + 2y = -1
5x - 4y = 16
Put your answer in ordered pair (x, y) DECIMAL form.

Answers

Answer:

(x, y) = (2, -1.5)

Step-by-step explanation:

x + 2y = -1

5x - 4y = 16

<=>

(2)x + (2)2y = (2)(-1)

5x - 4y = 16

<=>

2x + 4y = -2

5x - 4y = 16

<=>

7x = 14

<=>

x = 2

(*)x + 2y = -1

=> 2 + 2y = -1

=> 2y = -3

=> y = -1.5

=> (x, y) = (2, -1.5)

Find the point-slope equation for the line that passes through the points (-8,-32) and (3,1). Use the first point in your equation.

Answers

Hey there! :)

Answer:

y + 32 = 3(x + 8)

Step-by-step explanation:

Begin by finding the slope of the line using the slope formula:

[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Plug in the coordinates of the points into the equation:

[tex]m = \frac{1 - (-32)}{3 - (-8)}[/tex]

Simplify:

[tex]m = \frac{33}{11}[/tex]

m = 3.

Point-slope form is:

y-y₁=m(x-x₁)

Plug in the coordinates of the first point, as well as the slope:

y - (-32) = 3(x - (-8)

y + 32 = 3(x + 8)

Answer:    y+32=3(x+8)

Step-by-step explanation:

First  you need to find the slope.The slope is the change in y divided by the change in x values.

-32 - 1 = -33

-8 - 3 =    -11  

-33/-11 = 3   the slope is 3  

and in point-slope form is  like y-b= m(x-a) where b is a y coordinate and a is the x coordinate.

it could be like   y-1=3(x-3) or y+32= 3(x+8)

the illumination due to a source of light varies directly as the strength of the source and inversely as the square of the distance from the source. two sources are 6 meters apart and one of them is 8 times stronger than the other. at what distance from the weaker source on the line segment joining them is the illumination the least

Answers

Answer:

Point is at x = 4 m

Step-by-step explanation:

From the question, we can write the formula for intensity as;

I = strength/distance²

Now,

- Let x be the position from the stronger source

- Let k be the strength of the weaker light source

- 8k will be the strength of the stronger light source.

We are told that the two sources are 6 meters apart and one of them is 8 times stronger than the other.

Thus, the total illumination is;

I(x) = (8k/x²) + k/(6 - x)²

Using chain rule to get the critical points, let's find the first derivative and equate to zero;

I'(x) = -16k/x³ + 2k/(6 - x)³ = 0

Adding -16k/x³ to both sides, we have;

2k/(6 - x)³ = 16k/x³

Cross multiply to get;

2kx³ = 16k(6 - x)³

Dividing both sides by 16k to give;

x³/8 = (6 - x)³

Taking cube root of both sides to give;

x/2 = 6 - x

Multiply both sides by 2 to give;

x = 12 - 2x

x + 2x = 12

3x = 12

x = 12/3

x = 4 m

Terri rode her bike very slowly to the top of a big hill. Then she coasted back down the hill at a much faster speed. The distance from the bottom to the top of the hill is 3 kilometers. It took Terri ¼ hour to make the round trip. What was her average speed for the entire trip?

Answers

Answer:

Terri’s speed can be calculated like this:

her speed- [tex]\frac{6km}{0.25h}[/tex]=24km/h

Step-by-step explanation:

Write the equation of the line that passes through (1,5) and (-2, 14) in slope-intercept form

Answers

Answer:

y = -3x + 8

Step-by-step explanation:

(1, 5)  ; (-2, 14)

[tex]Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{14-5}{-2-1}\\\\=\frac{9}{-3}\\\\=-3[/tex]

m = -3   ; (1 , 5)

Equation: [tex]y-y_{1}=m(x-x_{1})[/tex]

y - 5 = (-3)(x - 1)

y - 5 = -3x + 3

y = -3x + 3 + 5

y = -3x + 8

Find the surface area of the prism.
Help please

Answers

Answer:

256 in ^2

Step-by-step explanation:

The area of the base B = 12*5 = 60 in ^2

The height is 14 inches

The perimeter of the base is

2 ( l+w) =2 ( 12+5) = 2 ( 17) = 34

The surface area  is  = 2B + Ph = 2 * 60 + 34*4

                                                    = 120 + 136

                                                    =256

What is true about the domain and range of the function?
The graph of the function f(x) = (x +2)(x + 6) is shown
below.
у
6
The domain is all real numbers, and the range is all
real numbers greater than or equal to 4.
O The domain is all real numbers greater than or equal to
4, and the range is all real numbers.
O The domain is all real numbers such that -65x3-2,
and the range is all real numbers greater than or equal
to-4.
The domain is all real numbers greater than or equal to
4, and the range is all real numbers such that -63x3
-2.
4
N
-6 -4 +2
4
6
х
N
-2-
-4
6t

Answers

Answer:

The correct option is;

The domain is all real numbers and the range is all real numbers greater than or equal to -4

Step-by-step explanation:

A function defines an output given an input and the set of all the possible inputs to a function is the domain of a function such that there is an output, such that the domain is the set of x values which are points on the curve of the function

The set of outputs that are produced from a given input is the range of a function

The given function is f(x) = (x + 2)(x + 6)

From the curve we see that the minimum y-coordinate, f(x), value is at -4, which is the lower bound of the range, while the x-coordinate values, the domain can be seen extending past the graph sheet which from the expression for the function also (f(x) = (x + 2)(x + 6)) indicates that the x values is the set of all real numbers (on the number line)

Therefore, the correct option is;

The domain is all real numbers and the range is all real numbers greater than or equal to -4.

Answer:

The domain is all real numbers and the range is all real numbers greater than or equal to -4

Step-by-step explanation:

The temperatures of Charleston, South Carolina on May 3rd are recorded in the table below. Determine the equation that models this data.

Answers

Answer:

Ok, the first step to see the behavior of this data is doing a graph of it,

So we can see that it looks like an reversed V. (at the bottom of the answer you can see the graph)

Then, we can model this with a piecewise function like:

For the first part we can take the two pairs:

if 11 am is our t = 0h

(0, 85) and (6, 93)

then the linear equation

y = a*t + b

a = (93 - 85)/(6 -0) = 8/6.

and b = 85.

then the linear equation is:

y = (8/6)*t + 85. for 0h ≤ t ≤ 6h

The second part of this equation can be modeled with the points

(6, 93) and (11, 84)

then we have:

y = s*t + c

s = (84 - 93)/(11 - 6) = -7/5

and we can find the value of c as:

93 = (-7/5)*6 + c

93 + (7/5)*6 = 101.4

then this second part is:

y = (-7/5)*t + 101.4 for 6  ≤ t ≤ 11h

then, in conclusion we have:

         y = (8/6)*t + 85. for 0h ≤ t ≤ 6h

f(x) =

         y = (-7/5)*t + 101.4 for 6  ≤ t ≤ 11h

Answer:

y=7.496sin(0.3243x+0.315)+73.489

Step-by-step explanation:

simply put the data into a graph and graph each equation to see if its matched

2 Points
What is the measure of ZE, in degrees?

Answers

Answer:

B. 84 deg

Step-by-step explanation:

Sides DE and FE are congruent since they both have the same length.

That makes angles D and F congruent.

m<D = m<F = 48

The sum of the measures of the angles of a triangle equals 180 deg.

m<E + m<D + m<F = 180

m<E + 48 + 48 = 180

m<E = 84

A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week. (2 points)

Answers

Answer:

4 (20) + 6(6) = 120

4(20) + 4 (6) = 100

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations with the information given:

Build time (hours) = 4c + 6a = 120

Test time (hours) = 4c + 4 a = 100

Where c represents the number of child bikes and a represents adult bikes.

So, for 20 child bikes and 6 adult bikes:

4 (20) + 6(6) = 120

4(20) + 4 (6) = 100

Feel free to ask for more if needed or if you did not understand something.

What is the result of substituting for y in the bottom equation?

y = x + 3

y= x2 + 2x-4

A. x+ 3 = x2 + 2x - 4

B. X+ 3 = x2

C. y= (x+3)2 + 2(x + 3) - 4

D. y= x2 + 2x - 4 - (x+3)

Answers

Answer:

(A)[tex]x + 3= x^2 + 2x-4[/tex]

Step-by-step explanation:

Given the equations:

[tex]y = x + 3\\y= x^2 + 2x-4[/tex]

Substitution simply means replacing the variable y in the second equation with its equivalent x+3 from the first equation.

Substitution of y into [tex]y=x^2 + 2x-4[/tex] gives us:

[tex]x + 3= x^2 + 2x-4[/tex]

The correct option is A.

Write as an expression: Twice the product of the squares of x and y Thanks! -Jamie

Answers

Answer: [tex]2(xy )^{2}[/tex]  the same thing as 2([tex]x^{2} y^{2}[/tex])

Step-by-step explanation:

You multiply 2 by x times y squared.

You own a comic book store. When you order comic books for your store to sell, you get 18 comic books per bundle. How many comic books would you have to sell if you ordered 7 bundles?

Answers

Answer:

the answer is 126

Step-by-step explanation:

beacuse if you sell 7 bundles for every one you get 18 so 18+18+18+18+18+18+18=126

Answer:

126 books

Step-by-step explanation:

There are 18 books per bundle and 7 bundles

So you would multiply 7 with 18 and get your answer of 126 books to sell

According to the Insurance Institute of America, a family of four spends between $400 and $3,800 per year on all types of insurance. Suppose the money spent is uniformly distributed between these amounts. If we select a family at random, what is the probability they spend less than $2,000 per year on insurance per year? (Round your answer to 4 decimal places.)

Answers

Answer:

0.471

Step-by-step explanation:

Calculation for the probability that they spend less than $2,000 per year on insurance per year

First step is to find the base

Base =$2,000-$400

=$1,600

Second step is to find the probability using this formula

P=1/b+a×base

Where,

b represents $3,800

a represents $400

base represents $1,600

Let plug in the formula

P=1/$3,800-$400×$1,600

Hence,

P=1×$1,600/$3,800-$400

P=$1,600/$3,400

P=0.471

Therefore the probability that they spend less than $2,000 per year on insurance per year will be 0.471

The U.S. Census reports Native Americans by Group of answer choices one tribe only or in combination with another tribe plus in combination with any other race. one tribe only, one tribe only or in combination with another tribe, and one tribe only or in combination with another tribe plus in combination with any other race. one tribe only. one tribe only or in combination with another tribe. one tribe only and one tribe only or in combination with another tribe

Answers

Answer:

one tribe only or in combination with another tribe plus in combination with any other race.

Step-by-step explanation:

United States Census Bureau (USCB) is the governmental agency saddled with the responsibility of providing data about the citizens of America and her economy. The Census Bureau was founded on the 1st of July, 1902 and has its headquarter in Suitland, Maryland, United States of America.

The U.S. Census reports Native Americans by one tribe only or in combination with another tribe plus in combination with any other race.

Native Americans are the indigenous people (citizens) of the United States of America and they are also known as the American Indians. The Census Bureau reports them by one tribe only such as Cherokee, Apache, Hopi, Chinook etc or in combination with another tribe such as Aleuts, Tlingit, Chenega, etc plus in combination with any other race such as Black Americans, Asian Americans, White Americans, Native Hawaiian etc.

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After maddy sold 60 stamps, simon had twice as many stamps as maddy. how many more stamps did maddy have than simon in the beginning 25x^2+58+16 how do you factor The Jewel Golf Club Company, which recently began using a kanban system, has had problems with high inventory levels of one of the handle grips used to make several versions of its clubs. Daily demand for the grip is 3000 units, average waiting time during production is 0.20 day, processing time is 0.10 day per container, and a container holds 150 grips.Use the information in Case 6.2. How many Kanban containers would Jewel require if a 10% policy variable is used? a. three or fewer b. four or five c. five or six d. six or seven Hess Company's inventory records show the following data for the month of September: Units Unit Cost Inventory, September 1 100 $3.00 Purchases: September 8 450 3.50 September 18 300 3.70 A physical inventory on September 30 shows 150 units on hand. Calculate the value of ending inventory and cost of goods sold if the company uses LIFO inventory costing and a periodic inventory system. Change into passive 1 - Nobody (to see) him yesterday. 2 - The telegram (to receive) tomorrow. 3 - He (to give) me this book next week. 4 - The answer to this question can (to find) in the encyclopedia. 5 - We (to show) the historical monuments of the capital to the delegation. 6 - You can (to find) interesting information about the life in the USA in this book. 7 - Budapest (to divide) by the Danube into two parts: Buda and Pest. 8 - Yuri Dolgoruki (to found) Moscow in 1147. 9 - Moscow University (to found) by Lomonosov. 10 - We (to call) Zhukovski the father of Russian aviation. A triangle has sides 45, 4x and 2x4. What is the possible range of x? Andrew scored 16 points at basketball tonight. If he keeps scoring this many points every game for the 14-game season, how many points will he score in total? Help!! Is there any way I could calculate this on a graphing calculator or do I have to do it by hand? Globalization leads to more trade betweenconsumers.businesses.O factoriesO countries. The median of the values in a data set is x. If 32 were subtracted from eachof the values in the data set, what would be the median of the resulting data?A. X+32B. X-32C. XD. 32 - x Read the excerpt from A Vindication of the Rights of Woman. Let there be then no coercion established in society, and the common law of gravity prevailing, the sexes will fall into their proper places. And, now that more equitable laws are forming your citizens, marriage may become more sacred: your young men may choose wives from motives of affection, and your maidens allow love to root out vanity. What is the central idea of the excerpt? In proper societies, there are strict laws about marriage. Men will fall into submission when their wives are well educated. In equal roles, men and women will establish more meaningful marriages. Men and women should marry for reasons other than love and affection. Observing Gas Properties - FlammabilityChemicals ObservationsHClZnHCl + Zn ReactionGas + FlameConclusion:A. When performing this experiment, when is the tetradecanol in a condensed phase? Explain your answer.B. The published melting point of H2O is 0C, and the published boiling point is 100C. Why would you have found slightly different values?C. In this experiment, there were two possible identities for the gas produced: hydrogen or chlorine, which have quite different properties. Hydrogen is a colorless, odorless, flammable gas. Chlorine gas is greenish yellow with a pungent, bleach-like odor and is non-flammable. Use your observations to determine which gas was produced in this experiment.D. Give some examples of how it might be useful to know the melting or boiling points of a substance. Think in terms of both scientific and commercial/industrial settings. Help.me................ Expected Value (50 points) Game: Roll two dice. Win a prize based on the sum of the dice. Cost of playing the game: $1 Prizes: Win $10 if your sum is odd. Win $5 if you roll a sum of 4 or 8. Win $50 if you roll a sum of 2 or 12. Explain HOW to find the expected value of playing this game. What is the expected value of playing this game? Show your work. (30 points) Rose Project is a nongovernmental not-for-profit entity established to help runaway children. Every year, Rose holds a charity benefit at which participants are asked to make pledges. This year, Rose received the following pledges: Unrestricted $500,000 Restricted for counseling programs 200,000 The pledges are legally binding and are expected to be received within the next 12 months. Rose estimates that 5% of the pledges will be uncollectible. At what amount should the pledges be reported on Roses balance sheet as pledges receivable? A. $665,000 B. $475,000 C. $190,000 D. $700,000