v

15 10

In the circle shown, chords AC and BD intersect at E. If AE = 6, EC =

12, and DE = 18. How long is

BE

Answers

Answer 1

Answer:

BE is 4 units long

Step-by-step explanation:

Data

AE = 6EC =  12DE = 18

Given that chords AC and BD intersect at E, then the following equation must be satisfied:

AE * CE = DE * BE

Replacing with data and isolating BE:

6*12 = 18*BE

BE = 6*12/18

BE = 4


Related Questions

Could somebody help me with this please?

Answers

Answer:

Take a look below;

Step-by-step explanation:

See attachment;

Will give brainliest.
A candy company is designing the packaging for its new candy bar. the bars will be packed in cartons which are 1 foot long, 1 foot wide, and 1 foot high. how many of these cartons can they pack into the shipping crate which is 5 feet long, 12 feet wide, and 4 feet high?

Answers

Answer:

240 cartons

Step-by-step explanation:

First, I need to find the volume of the 2 objects.

If the measurements of the carton is 1 x 1 x 1, ultimately the volume of the carton is 1 cubic foot.

Then, to find the shipping crate volume, multiply 5 x 12 x 4. You will get 240 cubic feet.

Then, we need to find how many cartons can fit in the shipping crate. Divide 240 by 1, and obviously you get 240.

So, 240 cartons can be packed into the shipping crate.

Write in if/Then form: A shape has 4 congruent sides, if it is a rhombus.

Answers

Answer: If a shape has 4 congruent sides, then it is a rhombus.

Step-by-step explanation: I just added the words in the appropriate places.

Help?!!?? I don’t get it??

Answers

Answer:

1/6

Step-by-step explanation:

1/2 (The probability that its tails) x 1/3(The probability that it lands on a green side)

Find the probability. Enter your answer as a simplified fraction.


Picking a purple marble from a jar with 15 green and 15 purple marbles.


The probability of picking a purple marble is

Answers

Answer:[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given

Jar contains 15 Green and

15 Purple marbles

Total marble[tex]=15+15=30[/tex]

Probability of Picking a Purple marble is

[tex]P=\frac{\text{No of Purple marble}}{\text{Total no of marble}}[/tex]

[tex]P=\frac{15}{30}[/tex]

[tex]P=\frac{1}{2}=0.5[/tex]

Therefore probability of picking a marble is [tex]0.5[/tex]

Which of the following properties can numbers have?

They can be positive.
They can be zero.
They can be negative.
They can be both positive and negative.
They can be absolute value.

Answers

Answer:

They can be positive.

They can be zero.

They can be negative.

They can be absolute value.

Step-by-step explanation:

A number is an abstract entity used to describe quantity.

Zero, one, -1, 2.5, pi are all numbers.

The number is a member of one of the several classes: natural numbers, integers, rational numbers, real numbers, complex numbers, quaternions.

A number can't be both negative and positive.

The options 1, 2, 3, and 5 are correct.

What are numbers?

A number is an arithmetic value that is used to calculate and represent a quantity. Numerical symbols, such as "3," are written to represent numbers. A number system is a logical way of writing numbers that uses digits or symbols to represent them.

As per the given data:

We are given some properties of numbers in the options, and we have to find which among the following options are true.

They can be positive.

This is correct, as numbers can be positive

They can be zero.

This is correct, as a number can be zero.

They can be negative.

This is correct, as numbers can be negative.

They can be both positive and negative.

This is incorrect, as numbers can't be both positive and negative.

They can be absolute value.

This is correct, as numbers can have an absolute value.

Hence, the options 1, 2, 3, and 5 are correct.

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Find the derivative of f(x) = 6x + 7 at x = 9

Answers

Answer:

f'(9) = 6

Step-by-step explanation:

f(x) = 6x+7

The derivative is

f'(x) = 6

Evaluated at  x=9

f'(9) = 6

Answer:

6

Step-by-step explanation:

f(x) = 6x + 9

f'(x) = 6 at every point

can anyone help me with this question?

Answers

Answer:

I Believe its A

Step-by-step explanation:

IM so sorry if its wrong!!!!

but im pretty sure its right

Henry can lay a brick walkway by himself in 12 hours. Roberts does the same job in 10 hours. Working together, how long will it take them to lay the brick walkway?

Please I need the answer right away!

Answers

Answer:

Henry = 12 hours        

Robert = 10 hours

that 2 people

so 12/ divided by how many people

and 10/ divided by how many people

so 12/2

and 10/2

= 5 and 6

then find the (median) middle of both numbers one or more  

which is 5 1/2

so they can finish working together in 5 1/2 hours

The number of mosquitoes in Minneapolis, Minnesota (in millions of mosquitoes) as a function of rainfall (in
centimeters) is modeled by:
m(x) = -(x - 5)2 + 25
How many centimeters of rainfall will produce the maximum number of mosquitoes?

Answers

Answer:

5 cm

Step-by-step explanation:

Given the function:

[tex]m(x)=-(x-5)^{2} +25[/tex]

As we know the above function is a quadratic equation (vertical parabola) open downward and the vertex is the maximum number of mosquitoes.

The vertex form of a quadratic function is:

[tex]y=a(x-h)^{2} +k[/tex] where (h,k) is the vertex

Our given function have the vertex form as well, so the

(h,k) = (5,25)

At the height of 5 cm the rainfall will produce the maximum number of mosquitoes

Final answer:

In the function modeling the number of mosquitoes by rainfall, 5 centimeters of rainfall will produce the maximum number of mosquitoes, corresponding to the vertex of the parabola.

Explanation:

To find the number of centimeters of rainfall that will produce the maximum number of mosquitoes in Minneapolis, Minnesota, we look at the vertex of the parabolic function m(x) = -(x - 5)2 + 25. The vertex form of a parabola is given by f(x) = a(x - h)2 + k, where (h, k) is the vertex of the parabola. In this equation, h represents the x-value that results in the maximum y-value for the parabola when a is negative, which corresponds to the maximum number of mosquitoes.

In this case, the vertex of the parabola is (5, 25), which tells us that 5 centimeters of rainfall will produce the maximum number, which is 25 million mosquitoes. This value is represented by h in the vertex form of the equation, indicating that the parabola opens downwards (since the coefficient of the (x - h)2 term is negative) and reaches its maximum at x = 5.

A coin and a die is rolled. What is the probability of a head and a 3?

a. 1/4
b. 1/8
c. 1/12
d. 1/24

Answers

the answer is B. 1/8
because combined, the number of sides is 8

Solve the equation using the distributive property and properties of equality.
5(a+ 3) = -55​

Answers

Answer:

a = -14

Step-by-step explanation:

Isolate the variable, a. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, divide 5 from both sides:

(5(a + 3))/5 = = (-55)/5

a + 3 = -55/5

a + 3  = -11

Next, fully isolate a by subtracting 3 from both sides:

a + 3 (-3) = -11 (-3)

a = -11 - 3

a = -14

a = -14 is your answer.

~

Final Answer:

a = -14

In-depth explanation:

Hi! The question is asking us to solve the equation, which is:

[tex]\large\textbf{5(a + 3) = -55}[/tex]

Use the distributive property to simplify the left-hand side:

[tex]\large\textbf{5a + 15 = -55}[/tex]

Subtract 15 from each side:

[tex]\large\textbf{5a = -55 - 15}[/tex]

[tex]\large\textbf{5a = -70}[/tex]

Divide each side by 5:

[tex]\large\textbf{a = -14}[/tex]

∴ the answer is a = -14.

[tex]\rule{350}{1}[/tex]

A plumber charges $130 2 hours of work and $235 for 5 hours of workWhat is the of change in dollars per hour

Answers

Final answer:

The plumber charges $35 per hour, calculated by dividing the change in total cost ($105) by the change in hours (3).

Explanation:

To find the rate of change in dollars per hour for the plumber's charges, we need to use the definition of rate of change, which is the change in cost divided by the change in time.

Here are the steps for calculation:

Determine the change in cost: $235 - $130 = $105.Determine the change in time: 5 hours - 2 hours = 3 hours.Calculate the rate of change: $105 ÷ 3 hours = $35 per hour.

This means the plumber charges $35 per hour for their service.

BRAINLIEST URGENTTT
Jackie's gross semimonthly pay is $3420.
To maintain her current way of life, how much should she have saved by the time she retires?
$812,600
$820,800
$889,200
$890,600

Answers

Answer:

$890,600

Step-by-step explanation:

Answer:

They say you should save 10%

So if you calculate her yearly income

3420 x 26 pay periods per year = 88,920

Multiply it by 10

$889,200

Step-by-step explanation:

BRAINLIEST !!!!!!for whoever gives me explanation and answer

Answers

Answer:

100 x 0.85 = 85

100 x 0.85 = 85

85 x 2 = 170

170/85=2 so divide 100 by 2  = 50

50 x 0.85 = 42.5

50 x 0.85 = 42.5

42.5 + 42.5 = 85

Your answer is 500 hope this helps.

Step-by-step explanation:

Please help! in geo!

Answers

Answer:

pretty sure it would be 11 inches

Step-by-step explanation:

the rules of isosceles triangles is that two sides are the same and one is smaller.

Answer:

the missing side is 11 inches

Step-by-step explanation:

the missing angel is 37*

Will mark brainliest. Include explanation.

Answers

Answer:

D. 4x + 32; E. 4(x + 8)

Step-by-step explanation:

The correct answer is none. This problem is incorrect. The perimeter of a polygon is the sum of the lengths of all the sides. A perimeter is a length, not an area. A perimeter is expressed in feet, not square feet.

Ignoring the "square feet" part, once again, the perimeter is the sum of the lengths of all sides. Since this is a square, all sides have the same length, and there are 4 sides.

perimeter = 4s

perimeter = 4(x + 8) = 4x + 32

HELP!
What is the volume of the prism?
5.6 cm
4 cm
9 cm
7.8 cm

Answers

Answer:

Your answer

Step-by-step explanation:

Answer:140.4 is your answer!

Step-by-step explanation:hope this helped you!have an amazing rest of your night,afternoon or day!

What is the residual value when x = 3? –1.8 –0.2 0.2 1.8

Answers

Answer:

-1.8

Step-by-step explanation:

The residual value is -1.8 if the line of the best fit is y = 1.6x - 4 and the actual value is -1 option first is correct.

What is the line of best fit?

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

The missing data:

The line of the best fit is:

y = 1.6x - 4

When x = 3

Plug x = 3 in the above line equation:

y = 1.6(3) - 4

y = 4.8 - 4

y = 0.8

Now the residual value = actual value - expected value

= -1 -0.8

= -1.8

Thus, the residual value is -1.8 if the line of the best fit is y = 1.6x - 4 and the actual value is -1

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The probability of a chance event is 0.05, it is
to happen
when compared to a chance event with a probability of 0.
Select one:
more likely
both more and less likely

less likely
equally likely

Answers

Answer:

less

Step-by-step explanation:

n Pensacola, Florida, the average rainfall in the month of July is $7.40$ inches. By October, the average rainfall decreases by $35\%$ . By December, the average rainfall drops another $0.66$ inches.

Answers

Answer:

Olani???

Why are you here?

(East harlem scholars academy teacher)

Step-by-step explanation:

The average rainfall in December is 4.15 inches. Therefore option C is the answer.

Given that,  in Pensacola, Florida, the average rainfall in the month of July is 7.40 inches. By  October, the average rainfall decreases by  35%. By December, the average rainfall drops another 0.66 inches.

We need to find the average rainfall, in inches, in  December.

What is average rainfall?

The term "average annual rainfall" refers to the sum of the yearly precipitation totals for a location during a year as determined by the nearest National Weather Service station over the three decades prior.

In July, rainfall was 7.40 inches. By  October, the average rainfall decreases by  35%.

That is, 7.40-35% of 7.40

=7.40-0.35 × 7.40

=7.40-2.59=4.81

By December, the average rainfall drops another 0.66 inches.

That is, 4.81-0.66=4.15

The average rainfall in December is 4.15 inches. Therefore option C is the answer.

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Your question is incomplete, probably the complete question/missing part is:

In Pensacola, Florida, the average rainfall

in the month of July is 7.40 inches. By

October, the average rainfall decreases by

35%. By December, the average rainfall

drops another 0.66 inches.

What is the average rainfall, in inches, in

December?

A. 1.64

B. 1.93

C. 4.15

D. 4.81​

Is (1, 7) a solution to this system of inequalities? y < x + 8 y ≤ 6x + 1

Answers

Answer:

-8

Step-by-step explanation:

Final answer:

Upon checking both inequalities, the point (1, 7) satisfies y < x + 8 and y ≤ 6x + 1. Thus, (1, 7) is a solution to the system of inequalities.

Explanation:

To determine if the point (1, 7) is a solution to the given system of inequalities, we need to check if the point satisfies both inequalities. The system is:

y < x + 8

y ≤ 6x + 1

For the first inequality:

y < x + 8

7 < 1 + 8

7 < 9 ⇒ True

For the second inequality:

y ≤ 6x + 1

7 ≤ 6(1) + 1

7 ≤ 7 ⇒ True

Since the point (1, 7) satisfies both inequalities, it is indeed a solution to the system.

The graph represents this system of equations. A system of equations. y equals 4. y equals 3 minus StartFraction on-half EndFraction x. A coordinate grid with 2 lines. The first line passes through (negative 2, 4) and (0, 3). The second line passes through (negative 2, 4) and (0, 4). What is the solution to the system of equations? (–2, 4) (3, 4) (4, –2) (4, 3)

Answers

Answer:

b

Step-by-step explanation:

A coordinate grid with 2 lines. The first line passes through (negative 4, negative 3), (0, negative 3), and (4, negative 3). The second line passes through (0, negative 5) and (2, 4). The lines appear to intersect at about one-half, negative 3.

Solve the system of equations algebraically. Verify your answer using the graph.

y = 4x – 5

y = –3

What is the solution to the system of equations?

((StartFraction one-fourth EndFraction, negative 3), –3)

((StartFraction one-half EndFraction, negative 3), –3)

(–3, (negative 3, StartFraction 2 over 3 EndFraction))

The solution to the system of equations is (-2, 4).

The correct option is A.

We have,

y= 4

and, y= 3 - 1/2 x

To find the solution of Equation put y= 4 in equation 2 we get

4 = 3 - 1/2 x

4 - 3 = -1/2 x

1 = -1/2 x

x = -2

Thus, (-2, 4) is solution of Equation.

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At a carnival, you spin a spinner that has four equal-sized sections, each a different color: green, yellow, red, and blue. If you land on green, you win 2 points. If you land on yellow, red, or blue, you lose 1 point. Write the expected value equation. E (V) = StartFraction 1 Over a EndFraction (2) + StartFraction 1 Over b EndFraction (c) + StartFraction 1 OVer d EndFraction (e) + StartFraction 1 Over f EndFraction (g) a = b = c = d = e = f = g =

Answers

Answer:

a = 4

b = 4

c = -1

d = 4

e = -1

f = 4

g = -1

Step-by-step explanation:

To get the expected value equation you have to multiplicate the probability of each outcome by its reward and add them. The probability to get each color is 1/4 because the spinner has four equal-sized sections. If you win money, your reward is positive, but if you lost it, your reward is negative. Then:

expected value equation. E (V) = (1/4)*2 + (1/4)*(-1) + (1/4)*(-1) + (1/4)*(-1) = -0.25

Answer:

A 4

B 4

C -1

D 4

E -1

F 4

G -1

-0.25 points

lose 250 points

Describe the transformation f(x) = √x + 1 − 5 in words. The parent function f(x) = √x has been shifted 1 unit and 5 units.

Answers

We conclude that the parent function f(x) = √x has been shifted 1 unit to the left and 5 units downwards.

How was the parent function transformed?

For a function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N

If N is positive, the translation is upwards.If N is negative, the translation is downwards.

For a function f(x), a horizontal translation of N units is written as:

g(x) = f(x) + N

If N is positive, the translation is to the left.If N is negative, the translation is to the right.

Here we have f(x) = √x, and g(x) = √(x + 1) - 5

Then:

g(x) = f(x + 1) - 5

From this, we conclude that the parent function f(x) = √x has been shifted 1 unit to the left and 5 units downwards.

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Parallelogram L M N O is shown. Angle N is (5 x) degrees and angle L is (3 x + 40) degrees.
In parallelogram LMNO, what is the measure of angle M?

20°
60°
80°
100°

Answers

Answer:

Answer:

80degrees

Step-by-step explanation:

Find the diagram attached

From the diagram, the opposite angle of the parallelogram are equal hence;

5x= 3x+40

5x - 3x = 40

2x = 40

x = 40/2

x = 20degrees

Also <M + <N = 180

<M + 5x = 180

<M + 5(20) = 180

<M + 100 = 180

<M = 180-100

<M = 80degrees

Hence the measure of angle M is 80degrees

Step-by-step explanation:

For the given parallelogram measure of angle M is 80 degrees.

In the given parallelogram,

Angle N = 5x degree

Angle L  = (3x + 40) degree

Now for parallelogramm

angle L = angle N

⇒  (3x + 40) = 5x

⇒            2x  = 40

⇒               x  = 20

We know that for a parallelogram sum of two consecutive angles = 180 degrees.

    Angle M + angle N = 180 degree

⇒      Angle M + 5(20) = 180 degree

⇒                   Angle M = 80 degree

Hence the measure of angle M is 80 degree.

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A bag contains purple marbles and yellow marbles, 52 in total. The number of purple marbles is 4 more than 3 times the number of yellow marbles. How many purple marbles are there?

Answers

Answer:

16

Step-by-step explanation:

This question can be modeled using the equation 3x+4=52 (x is the purple marbles). To solve this equation subtract 4 from both sides, making it 3x=48. divide both by three showing x=16. This shows that 16 is the answer.

Answer:

40

Step-by-step explanation:

P= purple marbles

Y= yellow marbles

P+y=52

P=3y+4

Anyways. I got it wrong and the website says 40.

Alex needs to report his bowling average for the school newspaper. Here are his scores from the last 20 games: 132, 141, 110, 96, 154, 135, 111, 139, 102, 135, 133, 127, 99, 124, 129, 201, 131, 128, 134, and 135. Part A: What are the mean and median of this data? Part B: Which one of those two measures of central tendencies should he use for the newspaper and why? Part C: Are there any outliers? Please answer ASAP

Answers

Answer:

Part A:

Mean: 129.8

Median: 131.5

Step-by-step explanation:

The mean is the average so we add everything together and then divide it by however many numbers there are. 132 + 141 + 110 + 96 + 154 + 135 + 111 + 139 + 102 + 135 + 133 + 127 + 99 + 124 + 129 + 201 + 131 + 128 + 134 + 135 = 129.8

The median is the number in the middle. That is the number in between the rest from smallest to largest. 96, 99, 102, 110, 111, 124, 127, 128, 129, 131, 132, 133, 134, 135, 135, 135, 139, 141, 154, and 201

The medians are 131 and 132 so we add them together then divide by 2. That gives is 131.5 so that is our answer. I hope this helps and please mark me brainliest!

Solve the inequality: −2x > −6 Question 3 options: x < −3 x > 3 x > −3 x < 3

Answers

Answer:

divide both sides of the inequality by -2 and flip the inequality sign the you get (x < 3)

To solve the inequality -2x > -6, divide both sides by -2, remembering to reverse the inequality sign, to obtain x < 3 as the solution.

To solve the inequality -2x > -6, we start by isolating the variable x. To do this, we divide both sides of the inequality by -2. It's important to remember that when we divide or multiply both sides of an inequality by a negative number, we must reverse the direction of the inequality sign. Thus, dividing by -2, the inequality becomes x < 6/2. Simplifying further, we find that x < 3.

Others parts of the referenced information discuss concepts like absolute values, z-scores, and transitivity of numbers but are not directly relevant to solving this inequality.

Hence, the correct answer to the inequality is x < 3.

Can you help me with this question?

Answers

Answer: the first one

Step-by-step explanation: can i have brainlieist

Other Questions
What is the factorization of 121b4 49? Which BEST describes the organization of this passage? A)compare and contrast B)main idea and details C)sequence of events D)cause and effectAt one time or another, we have all pressed our hands against a window and looked through a pane of glass to view the world outside (or the world inside the glass). Most of us dont give much thought to the amazing substance known as glass.The type of glass used for windowpanes is translucent. Translucent means that the glass is transparent, or clear. This allows people to see through the glass without any trouble. Technical advances let people produce glass in many colors, shapes, and sizes for a variety of uses. However, Mother Nature creates glass without any outside help.Natural glass forms in several different ways. Whether formed naturally or through manufacturing, the most common way of making glass is to superheat silica or quartzite sand to its melting point. The sand along shorelines and beaches contains these two materials. After the crushed quartzite or silica is superheated into a liquid form, it cools to form a clear, hard substance. This is glass.4Scientists consider glass an amorphous substance. This means it is not truly a solid or a liquid. It exists in a state somewhere in between. Though the molecules that make up glass have a messy arrangement, they still manage to bond together and become stiff. Glass reaches this state once it has cooled after introduction to intense heat. In fact, the opposite is also true. Introducing a piece of glass to extreme heat can return it to a liquid form.5Though this explains how glass forms, you might still be wondering how this takes place in nature. Lightning is one way that glass can form in a natural setting. When a bolt of lightning hits a sandy patch of soil, it can create natural pieces of glass called fulgurites. This occurs in much the same way as we create glass synthetically. In this case, though, the bolt of lightning creates the extreme heat needed to form glass.6Glass also forms naturally when lava bursts from a volcano and then cools. The melting lava creates tremendous amounts of heat. It would then make sense that a natural byproduct of the fiery volcanic explosions is a glass formation called obsidian. Obsidian is a beautiful, natural spectacle. Known for its shiny black, orange, gray, or green color, it was surely the earliest type of glass used by prehistoric societies. It often forms when lava spews into the sea and the water cools the lava into hard volcanic glass. Unlike translucent glass, obsidian is usually opaque. This means you cannot see through this type of glass.It was through these natural events that people discovered the amazing substance known as glass. After its discovery, people began manufacturing glass and using it for many practical and artistic purposes. Today, glass is an important part of our everyday lives. Just look through any window! The state of California has over 1,000 dams, many built from the 1930s to the 1970s to reduce flooding and to create hydroelectric power. A dramatic decrease in salmon and trout populations were noted in the dammed rivers. The state has recently begun to research dam removal to restore rivers to their original flow. Which of the following is a possible benefit of removing some dams?A. Restoration of migrating fish habitats and related food web species.B. Increased hydroelectric power output from remaining California dams.C. Better long-term drought prevention from reservoirs.D. A decrease in flooding events downstream from where the dam is removed. The length of a rectangle is 5 centimeters less than its width. Whats re the dimensions of the rectangle if its area is 300 square centimeters?I need the length of one of the side and the width 1. Releia o trecho de "Corinthians 1 X Palmeiras 0" observando os verbos destacados. 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Check all that apply. - Activities - Donor list - Recipient - Mission statement - Founding members *25 points* What is the average rate of change of g over the interval 0x9? The volleyball team is having a pancake breakfast to raise money. The room can hold no more than 120 people. There are 22 coaches and players who will be attending. Which inequality can be used to find the maximum number of people the volleyball team can invite to its fundraiser? Dermody Snow Removal's cost formula for its vehicle operating cost is $3,000 per month plus $330 per snow-day. For the month of December, the company planned for activity of 24 snow-days, but the actual level of activity was 26 snow-days. The actual vehicle operating cost for the month was $11,190. The spending variance for vehicle operating cost in December would be closest to: A(n) ____ expresses a complete thought and can stand alone as a sentence. dependent clause Which of the following is not one of the main purposes an author has for writing? A.To Persuade B.to entertain C. To express personal thoughts D. To become famous Which types of credit are most similar to each other? What powers dynamicss are demonstrated in the interactions between the two characters, Macbeth and Lady Macbeth We have 50 video gamers who share information about their favorite games. 20 people say that Borderlands II is their favorite game. 33 say their favorite game is Fortnite, while 19 declare Minecraft as their favorite game (note that a single person can have several favorite games). 15 people say that Borderlands and Fortnite are both favorites, while 10 say that both Borderlands and Minecraft are their favorites. Finally, 5 people declare all 3 of the games as their favorites. How many people declared Minecraft and Fortnite (exclusively) as their favorites? How do you think the families of Nisei in the military felt about their family member's service? _____________ is when a member is being pulled apart.Group of answer choicestensionsheartorsioncompression Mrs. Smiths sixth-grade class filed onto the grassy field behind the middle school after lunch. As she exited the building, Chelsea looked around for her closest friend, Brittany. She spotted her by the swings, talking to their classmate Brian.2. Brian thinks hes the fastest person in Mrs. Smiths class, Brittany told her when she had joined them. It was obvious that Brittany didnt agree with Brian.3. I guarantee I can beat anyone in this class to a race, Brian said, tugging on the scarlet baseball cap that he wore each and every day. In fact, I bet I can run faster than the seventh, eighth, and even ninth graders, too!4. Chelsea rolled her eyes, but wasnt astonished by his declaration. Brian was typically overconfident; he was always challenging other students and expecting to win. According to Brian, he was so talented that he could hit more home runs than children on the baseball team and even could repeatedly make more baskets than the boys and girls on the basketball team.5. Who dares to challenge me? Brian shouted, directing his question to every student on the playground. The students looked around, but no one volunteered.6. Ill race you, Chelsea said, breaking the awkward silence. She knew she wasnt the fastest person on the playground, but if she possessed the determination necessary to win, perhaps she could complete the race first.7. First person around the field wins, said Brian, stretching his legs and jumping up and down to ready himself for the race.8. They approached the starting line, and Brittany counted to three.9. See you at the finish line! Brian exclaimed and left Chelsea in the dust.10. Brian soon disappeared around the first turn. Chelsea took a deep breath and continued to run at a quick pace. The sun was warm and she soon grew tired, but she didnt stop. Ahead, Brian approached the finish line and as he began to celebrate, she watched him trip over a small mound of dirt and fall to the ground.11. As Chelsea reached the finish line, she noticed that Brian was still seated on the ground, rubbing his injured knee. Instead of running past him and winning the race, Chelsea stooped down to help him stand. He leaned on her shoulder, and they completed the race together.12. You could've won, Brian said as their friends came out to congratulate them.13. Chelsea smiled. Friends are more important than winning, she said.14. Brian smiled at her. My thoughts exactly, he said.Read the passage on the left to answer the following questions:1)How does the setting influence the theme of the story?A)It illustrates the importance of winning.B)It illustrates the importance of helping others.C)It illustrates the importance of never giving up.D)It illustrates the pitfalls of being overconfident.2)What is realistic about the setting?A)Students plan races every day.B)Students usually have class outside.C)Students often play outside after lunch.D)Students only play outside in warm weather. Rubium Micro Devices currently manufactures a subassembly for its main product. The costs per unit are as follows:Direct materials$ 53Direct labor40Variable overhead36Fixed overhead31Total costs$ 160Crayola Technologies Inc. has contacted Rubium with an offer to sell 7 comma 000 of the subassemblies for $ 145 each. Rubium will eliminate $ 85 comma 000 of fixed overhead if it accepts the proposal. Should Rubium make or buy the subassemblies? What is the difference between the two alternatives? Steam Workshop Downloader