Bus stops A, B, C, and D are on a straight road. The distance from A to D is exactly 1 km. The distance from B to C is 2 km. The distance from B to D is 3 km, the distance from A to B is 4 km, and the distance from C to D is 5 km. What is the distance between stops A and C? AC=_ km

Answers

Answer 1

The distance between bus stops A and C is exactly 1 km.

To find the distance between bus stops A and C, we can use the fact that the distance from A to D is 1 km and the distance from C to D is 5 km.

This means that the total distance from A to C, passing through D, is 6 km (1 km + 5 km).

However, we need to subtract the distance between B and D (3 km) and the distance between B and C (2 km) since we don't want to double count the stretch between B and D.

Therefore, the distance between A and C is 6 km - 3 km - 2 km = 1 km.

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Related Questions

A grain silo is built from two right circular cones and a right circular cylinder with internal measurements represented by the figure above. Of the following, which is closest to the volume of the grain silo, in cubic feet?
A) 261.8
B) 785.4
C) 916.3
D) 1047.2

A grain silo is built from two right circular cones and a right circular cylinder with internal measurements

Answers

Important notice:

/\2 = Power 2

Answer:

D. 1,047.2

Step-by-step explanation:

The volume of the grain silo can be found by adding the volumes of all the solids of which it is composed.

The silo is made up of a cylinder with the height of 10 feet and base radius of 5 feet and two cones, each having the height of 5 feet and base radius of 5 feet.

The formulas volume of cylinder πr /\2 h and volume of cone 1/3  πr/\2h can be used to determine the tatol volume of the silo.

Since the two cones have identical dimensions, the total volume, in cubic feet, of the silo is:

V = π(5)/\2 (10) + (2) ( 1/3) π(5) /\2 (5)

= ( 4/3 ) (250)π

= 1,047.2 cubic feet.

which is greater 11/12 10/12​

Answers

Answer:

11/12 is greater

Step-by-step explanation:

Brainliest?

Answer:

11/12

hope that helped <3

Write the equation of the line that passes through the points (0,–2) and (4,5). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

Step-by-step explanation:

5+2/4-0=7/4

7/4=y+2/×-0

y=7x/4-2

Answer:                              

y+2=7/4(x+0)

Vicky is a cook at a diner. Before the diner opened, she used 12 eggs to make a large frittata that will be sold by the slice. She will also use 3 eggs whenever someone orders an omelet. If Vicky uses a total of 39 eggs by the end of the day, how many omelets must have been ordered?
Write and solve an equation to find the answer.

Answers

Answer:

6 is this answers to find

Answer:

9 omelets

Step-by-step explanation:

She used 12 eggs in the morning so 39-12= 27 then 27/3 = 9

Hope that helps!

Which of the following would be most useful if you want to know how many standard deviations from the mean a single score in a data set falls?
a. At-score
b. Az score
c. A deviation coefficient
d. A variance determination

Answers

The z-score would be most useful if you want to know how many standard deviations from the mean a single score in a data set falls. So, the answer to the given question is option B) Az score.

What is a z-score?

The z-score is a standard score that indicates how many standard deviations an observation is from the mean. A z-score expresses the difference between a measurement and the mean in units of standard deviation. It is calculated as follows: Z-score= (score – mean) / standard deviation

The z-score is frequently utilized in statistics as an index of the likelihood that a result will occur. It is often utilized to determine whether a value is significantly different from the average. It is also known as a standard score or a normal deviate.

The z-score indicates how many standard deviations an observation is from the mean. A positive z-score indicates that the measurement is above the mean, whereas a negative z-score indicates that the measurement is below the mean. A z-score of zero indicates that the score is equal to the mean.

Hence, the answer to the given question is option B) Az score.

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an italian sausage is 8 inches long. into how many pieces can the sausage be cut if each piece is to be two-thirds of an inch?

Answers

12 pieces can the sausage be cut if each piece is to be two-thirds of an inch.

Define division.

Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group. Creating equal groups or determining how many people are in each group after a fair distribution is the basic objective of division. In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each.

8 inches long. into how many pieces can the sausage be cut if each piece is to be two-thirds of an inch.

Divide 8 by 2/3

8÷ 2/3

8× 3/2

12

12 pieces can the sausage be cut if each piece is to be two-thirds of an inch.

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Which of the following sets of numbers could not represent the three sides of a righttriangle?{36, 76,85}Submit Answer{7, 24, 25){6,8,10}{21, 28, 35)

Answers

ANSWER:

\(\mleft\{36,76,85\mright\}\)

STEP-BY-STEP EXPLANATION:

The right angles fulfill the Pythagorean theorem which is the following

\(h^2=a^2+b^2\)

We evaluate each option, replacing:

\(\begin{gathered} 25^2=7^2+24^2\rightarrow625=625\text{ correct option} \\ 85^2=36^2+76^2\rightarrow7225=7072\text{ incorrect option} \\ 10^2=6^2+8^2\rightarrow100=100\text{ correct option} \\ 35^2=28^2+21^2\rightarrow1225=1225\text{ correct option} \end{gathered}\)

Write an equation in slope intercept form given m= -25 and point (30,450)

Answers

The slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept. We are given the slope m = -25 and a point (30, 450). We can use this information to find the y-intercept b and write the equation in slope-intercept form.

To find the y-intercept b, we can substitute the given point (30, 450) and the slope m = -25 into the slope-intercept form equation and solve for b:

y = mx + b
450 = (-25)(30) + b
450 = -750 + b
b = 1200

Now that we have found the y-intercept b = 1200, we can write the equation in slope-intercept form:

y = -25x + 1200

Therefore, the equation in slope-intercept form with a slope of m = -25 and passing through the point (30, 450) is y = -25x + 1200.

Please help me find the answer

Please help me find the answer

Answers

Answer:

\(x = 28 {}^{o} \)

Step-by-step explanation:

hopefully this helps you

please mark me as brainlist

Answer: 28 degrees D

Step-by-step explanation: The whole angle is 90 and the other angle (not x) is 62 so 90 minus 62 is 28

Julian is deciding between two different movie streaming sites to subscribe to. Plan A costs $5 per month plus $2.50 per movie watched. Plan B costs $29 per month plus $0.50 per movie watched. Let AA represent the monthly cost of Plan A if Julian watches xx per month, and let BB represent the monthly cost of Plan B if Julian watches xx movies per month. Write an equation for each situation, in terms of x,x, and determine which plan would be cheaper if Julian plans on watching 11 movies each month.

Answers

A;

5 + 2.5xx = AA

B;

20 + 0.5xx = BB

A: 5 + 2.5 • 11

B: 20 + 0.5 • 11

A = 32.5

B = 25.5

Midory had 0.0085 pounds of chocolate. What is this equation written in scientific notation?

Answers

Answer in scientific notation: 8.3x10^-3

Help me pls????????????????????????????????????????????????/

Help me pls????????????????????????????????????????????????/

Answers

Answer: $8 for each person

Step-by-step explanation: If we divide the $32 by how many people there are(4) we get 8. We can check if this answer is correct by doing the opposite of division, multiplication. So 4 x 8 = 32. Hope this helps! :)

Find 2x^3-x^3+4x+7 divided by x+3

Answers

Answer:

(x^3+4x+7)/(x+3)

Step-by-step explanation:

you just combine the like terms on the top and put it in a fraction. let me know if that helped.

a map of Texas uses the scale of 1.5 to represent 60 miles the distance between corpus Christi to Houston is 60 miles what is the distance in inches between the cities on the map

Answers

Answer:ahhhh

Step-by-step explanation:

I hope this helps

the area of a circle is the product of Pi and the radius r squared ​

Answers

Answer: Pi is sometimes given the value 22 over 7 which is approximately 3.14.

n:

For a more accurate approximation, you should have a pi button on your calculator. The formula for area equals pi times the radius squared, R stands for the radius measurement of the circle. So the formula is area equals pi R squared.

The area of the required circle would be 314.28 square units which is radius 5 units.

What is the area of the circle?

The area of the circle is equal to the product of the square of the radius of the circle and pi.

A = πr²

where 'r' is the radius of the circle

We have been given that radius of a circle is 5 units.

So here r = 5 units

the area of a circle = πr²

the area of a circle = π(5)²

the area of a circle= 25(3.14)

the area of a circle = 314.28 square units

Hence, the area of the required circle would be 314.28 square units which is radius 5 units.

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The question seems to be incomplete the correct question would be

If the area of a circle is the product of Pi and the radius r squared.

Find the area of a circle if radius is 5 units.

If A and B are mutually exclusive events with P(A) = 0.4 and P(B) = 0.5, then P(A ∩ B) =

a. 0.10
b. 0.90
c. 0.00
d. 0.20

Answers

The probability of A and B occurring simultaneously (P(A ∩ B)) is c. 0.00.

In this scenario, A and B are stated to be mutually exclusive events. Mutually exclusive events are events that cannot occur at the same time. This means that if event A happens, event B cannot happen, and vice versa.

Given that P(A) = 0.4 and P(B) = 0.5, we can deduce that the probability of A occurring is 0.4 and the probability of B occurring is 0.5. Since A and B are mutually exclusive, their intersection (A ∩ B) would be an empty set, meaning no outcomes can be shared between the two events. Therefore, the probability of A and B occurring simultaneously, P(A ∩ B), would be 0.

To further clarify, let's consider an example: Suppose event A represents flipping a coin and getting heads, and event B represents flipping the same coin and getting tails. Since getting heads and getting tails are mutually exclusive outcomes, the intersection of events A and B would be empty. Therefore, the probability of getting both heads and tails in the same coin flip is 0.

In this case, since events A and B are mutually exclusive, the probability of their intersection, P(A ∩ B), is 0.

Therefore, the correct answer is: c. 0.00

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Two students are playing a game. If a player spins a one or a three, he/she gets an extra turn. What is the probability that a player will get an extra turn?

Answers

The probability that a player will get an extra turn is 1/2 or 50%.

There are four possible outcomes when a player spins the spinner: 1, 2, 3, or 4. The probability of spinning a one or a three is 2/4 or 1/2, since there are two favorable outcomes out of four equally likely outcomes.

If a player spins a one or a three, they get an extra turn, which gives them another chance to spin the spinner. Since the probability of spinning a one or a three is 1/2, the probability of getting an extra turn is also 1/2.

Therefore, the probability that a player will get an extra turn is 1/2 or 50%.

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If you deposit $400 into an account that offers a 5% interest rate. How much interest will you earn after 1 year?

$20

$350

$160

$2

Answers

Answer:

It is 350

Step-by-step explanation:

Answer:

A. $20

Step-by-step explanation:

Multiply 400 by .05 or 5%.

Calculate the reliability of the following system:
0.90 0.90
0.90 0.90 0.85
0.85 0.85 0.92

Answers

The reliability of the given system is 0.4033.

To calculate the reliability of a system, we need to multiply the reliability values of all the components in the system. In this case, we have a system composed of three components with the following reliability values:

Component 1: 0.90

Component 2: 0.90 0.90 0.85

Component 3: 0.85 0.85 0.92

To find the overall system reliability, we multiply these values together:

System reliability = Component 1 reliability x Component 2 reliability x Component 3 reliability

System reliability = 0.90 x (0.90 x 0.90 x 0.85) x (0.85 x 0.85 *x 0.92)

System reliability ≈ 0.90 x 0.6831 x 0.6528 ≈ 0.4033

Therefore, the reliability of the given system is 0.4033.

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(PLSS HELP NOW!!!!) Select the statement that describes this expression: 10 + fraction 1 over 4 x (5 + 3) − 3.

Group of answer choices

A. 10 more than fraction 1 over 4 of the sum of 5 and 3, then subtract 3

B. fraction 1 over 4 of 10 times the sum of 5 and 3, minus 3

C. 3 more than 3 plus 5 multiplied by fraction 1 over 4 , then add 10

D. 10 times fraction 1 over 4 plus 3 and 5, minus 3

Answers

By answering the presented question, we may conclude that As a result, expression the right answer is A.

what is expression ?

An expression in mathematics is a collection of representations, digits, and huge corporations that depict a causative link or regimen. A real number, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, rapid spread, division, and exponentiation. Expressions are often used in arithmetic, mathematics, and form. They are employed in the depiction of mathematical formulas, the solving of equations, and the simplification of mathematical relationships.

The order of operations (PEMDAS) may be used to simplify the formula 10 + fraction 1 over 4 x (5 + 3) 3 as follows:

Then, we do the following operation: 5 + 3 = 8.

So we multiply 8 by 1/4 to get 2: 8 x 1/4 = 2.

Then we multiply 10 by 2: 10 + 2 Equals 12.

Lastly, we deduct three from twelve: 12 - three = nine.

As a result, the phrase is described as "10 greater than fraction 1 over 4 of the sum of 5 and 3, then deduct 3."

As a result, the right answer is A.

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Answer:

23543

Step-by-step explanation:

Im just a big brain, and already solved it.

kathy has been undergoing treatment for bulimia. there is an above-average probability that one or more members of kathy's family have a problem with:

Answers

There is an above-average probability that one or more members of Kathy's family have a problem with eating disorders.

It is well-established that eating disorders like bulimia have a genetic component, which means that they tend to run in families. Therefore, there is an above-average probability that one or more members of Kathy's family have a problem with eating disorders.

However, it's important to note that not all cases of bulimia are caused by genetic factors alone. Environmental and psychological factors can also play a significant role in the development of the disorder. Therefore, it's possible that Kathy's family members may not have a history of eating disorders, even if she does.

Overall, the exact probability of one or more members of Kathy's family having a problem with eating disorders would depend on a number of factors, including her family history, hereditary factors, and environmental factors. It's important for Kathy to seek professional help and support for her bulimia, regardless of whether or not other family members have a history of eating disorders.

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please show work
23 lbs of onions cist $250.70. How much will 50 lbs cost

Answers

Answer:

$545.00

Step-by-step explanation:

250.7 / 23 = 10.9

$10.9 is the cost of every lb of onions.

Then we multiply 10.9 by 50 because there are 50 lbs. like this

10.9 * 50 = 545

So $545.00 is our answer.

it is $545.00 hope this helps

A project under consideration has a 10-year projected life. The initial investment for the project is estimated to have a mean of $10,000 and a standard deviation of $1,000. The annual receipts are independent, with each year’s expected return having a mean of $1,800 and a standard deviation of $200. MARR is 12 percent. Assuming that initial investment and annual receipts are independent and normally distributed, estimate the probability that the present worth is negative using NORM.INV function in excel.

Answers

This value represents the present worth below which the probability is 0.5, indicating a negative present worth.

To estimate the probability that the present worth is negative using the NORM.INV function in Excel,

we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.

The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).

Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),

where t is the year. We then sum up these present values for each year.

We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.

Since we have a mean and standard deviation for the present worth,

we can calculate the corresponding probability of a negative present worth using NORM.INV.

This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,

we can estimate the probability that the present worth is negative based on the given data and assumptions.

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ABD and CBD form a linear pair . if m ABD = 6x-12 and m CBD = x + 31 find the m ABD

Answers

Answer:

m∠ABD = 126°

Step-by-step explanation:

if both angles make a linear pair then their sum equals to 180°

you can solve for x

m∠ABD + m∠CBD = 180

6x-12 + x+31= 180

7x + 19 = 180

7x = 161

x=23; now solve for

m∠ABD = 6x - 12 = 6(23) - 12 = 126°

The required measure of m ABD is 23.

What are linear pair of angle?

In geometry, a linear pair of angles is a pair of adjacent angles formed when two lines intersect each other.

Now it is given that,

m ABD = 6x - 12 and m CBD = x + 31

Since, ABD and CBD form a linear pair

m ABD + m CBD = 180°

6x - 12 + x + 31 = 180°

7x + 19 = 180°

⇒ 7x = 180° - 19

⇒ 7x = 161

⇒ x = 161/7

⇒ x = 23

Thus, the required measure of m ABD is 23.

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you are constructing an open top box for your cat to sleep in. the plush material for the square bottom of the box costs $4 /ft2 and the material for the sides costs $2 /ft2 . you need a box with volume 4ft3 . find the dimensions of the box that will minimize the cost.

Answers

The dimensions of the box that minimize the cost are: Length = Width = 2^(1/3) ft and Height = 1/(2^(2/3)) ft, We can also compute the minimum cost as: Cost = 4 × 2^(2/3) + 8 × 2^(1/3) ≈ $10.42

To find the dimensions of the box that will minimize the cost, we need to use optimization techniques. Let's start by defining the variables:

Let L be the length of the base of the box.
Let W be the width of the base of the box.
Let H be the height of the box.

The volume of the box is given as 4 ft3, so we have:

L × W × H = 4

We want to minimize the cost of the box, which is given by:

Cost = (2LH + 2WH) × 2 + LW × 4

where the first term represents the cost of the sides (which have a height of H and a length of L or W) and the second term represents the cost of the bottom (which has an area of LW).

Now, we can use the volume equation to solve for one of the variables in terms of the other two. For example, we can solve for H:

H = 4/(LW)

Substituting this into the cost equation, we get:

Cost = 4L + 4W + 16/(LW)

To find the dimensions that minimize the cost, we need to find the critical points of this function. Taking the partial derivatives with respect to L and W, we get:

dCost/dL = 4 - 16/(L^2W)
dCost/dW = 4 - 16/(LW^2)

Setting these equal to zero and solving for L and W, we get:

L = W = 2^(1/3)

(Note that we need to check that this is a minimum by verifying that the second partial derivatives are positive.)

Substituting these values into the volume equation, we get:

H = 1/(2^(2/3))

Therefore, the dimensions of the box that minimize the cost are:

Length = Width = 2^(1/3) ft
Height = 1/(2^(2/3)) ft

We can also compute the minimum cost as:
Cost = 4 × 2^(2/3) + 8 × 2^(1/3) ≈ $10.42

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Use the distributive property to simplify the following expression:
1/3 (9-6n)

Answers

Answer:

3 - 2n

Step-by-step explanation:

Given the function h(x)=-x^2+10x+32 determine the average rate of change of the function over the interval 3≤x≤11

Answers

Answer:

The average rate of change is 4

Explanation:

Given:

h(x) = -x²+ 10x + 32

The interval is 3≤x≤11

To find:

The rate of change for the given interval

To find the above, we will apply the formula for rate of change:

\(\begin{gathered} A(x)\text{ = }\frac{y_2-y_1}{x_2-x_1} \\ h(x)\text{ = -x^^b2+ 10x + 32 } \\ A(x)\text{ = }\frac{h(x_2)\text{ - h\lparen x}_1)}{x_2-x_1} \end{gathered}\)\(\begin{gathered} interval\text{ is }3≤x≤11 \\ x_1\text{ = 3, x}_2\text{ = 11} \\ when\text{ x = 3} \\ h(x)\text{ = -\lparen3\rparen}^2\text{ + 10\lparen3\rparen + 32} \\ h(x)\text{ = 53} \\ \\ when\text{ x = 11} \\ h(x)\text{ = -\lparen11\rparen}^2\text{ + 10\lparen11\rparen + 32} \\ h(x)\text{ = 21} \end{gathered}\)\(\begin{gathered} Average\text{ rate of change = }\frac{53\text{ - 21}}{11\text{ - 3}} \\ \\ Average\text{ rate of change = }\frac{32}{8} \\ \\ Average\text{ rate of change = 4} \end{gathered}\)

Last questions, ¼×⅗, ⅓×11, 4/9×⅜.please answer in only full numbers and fractions.

Answers

\(\begin{gathered} \frac{1}{4}\times\frac{3}{5}=\frac{1\times3}{4\times5}=\frac{3}{20} \\ \frac{1}{3}\times11=\frac{1\times11}{3\times1}=\frac{11}{3} \\ \frac{4}{9}\times\frac{3}{8}=\frac{4\times3}{9\times8}=\frac{12}{72}=\frac{1}{6} \end{gathered}\)

? Question
Select the correct answer from each drop-down menu.
Simplify the expressions.
32 =
¡25 =
¡86 =
¡51 =

? QuestionSelect the correct answer from each drop-down menu.Simplify the expressions.32 =25 =86 =51

Answers

Answer:

i^32=1

i^25=i

i^86=-1

i^51=-i

Step-by-step explanation:

Follow the Rule of Four of I for this,

i^1=\(\sqrt{-1}\)

I^2=-1

I^3=-i

I^4=1

Answer: first one is 1

Second one is i

Third one is -1

Fourth one is -1

Step-by-step explanation:

? QuestionSelect the correct answer from each drop-down menu.Simplify the expressions.32 =25 =86 =51


Estimate and then solve using the standard algorithm. Box your
final answer
234x23=

Answers

The final answer by using standard algorithm is 5382.

Given expression: 234 x 23

Estimation:In order to estimate the value of the product, we can round the values to the nearest ten.

We have 230 and 20.

So the product would be 230 x 20.

Let's perform the multiplication:230 20______4600

Standard Algorithm:Now, let's solve the given expression using the standard algorithm.

We need to multiply each digit of the second number by each digit of the first number and then add the results.  

234 × 23   ________   1404   468   4680   ________   5382

Boxed final answer is: 5382.

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We can intervene in several areas of the chain of infection in order to stop a sudden, current outbreak. All of the following are effective early strategies except a. Vaccinations b. Washing hands often c. Quarantine d. Wearing masks create a markov chain to describe a process. solve the markov chain under different conditions for steady state. graph the results. 1 page writeup. I need help on all three questions (geometry) Which type of mixture can be separated using distillation? Add. (3b + 5) + (2b + 4) Whats the percent composition of BaCrO4 A high school drama department sold 238 tickets for their performance. An adult ticket cost $6.75. A student ticket cost $3.50. The high school drama department collected $1,252.25 in ticket sales. How many student tickets were sold? A chemist has 30% and 60% solutions of acid available. How many liters of each solution should be mixed to obtain 570 liters of 31% acid solution? Work area number of liters | acid strength | Amount of acid 30% acid solution 60% acid solution 31% acid solution liters of 30% acid liters of 60% acid TRUE / FALSE. all foreign traders in song china were considered guests of the governor, who also held the title of chief of seafaring affairs. complete the following passage about these affairs. The square below represents one whole.What percent is represented by the shaded area?% A researcher who is evaluating the significance of a multiple regression equation with two predictor variables, obtains an F-ratio with df = 2, 18. How many individuals were needed to produce the sample data used to find the regression equation? Where Radical Republicans glad to seat the new Southern senators and representative in Congress. Effects of a tariff on international trade The following graph shows the domestic supply of and demand for oranges in Guatemala, Guatemala is open to international trade of oranges without any restrictions. The world price (Pw) of oranges is $760 per ton and is represented by the horizontal black line. Throughout this problem, assume that the amount demanded by any one country does not affect the world price of oranges and that there are no transportation or transaction costs associated with international trade in oranges. Also, assume that domestic suppliers will satisfy domestic demand as much as possible before any exporting or importing takes place. Use the graph input tool to help you answer the following questions. You will not be graded on any changes you make to this graph. Note: Once you enter a value in a white field, the graph and any corresponding amounts in each grey field will change accordingly. Graph Input Tool Market for Oranges in Guatemala Supply 1,090 Price (Dollars per ton) Domestic Demand (Thousands of tons of oranges) 150 Domestic Supply (Thousands of tons of oranges) 350 PRICE (Dollars per ton) bemand 0 50 100 150 200 250 300 350 400 450 500 QUANTITY (Thousands of tons of oranges) tons of oranges. (Note: Be sure to enter If Guatemala is open to international trade of oranges without any restrictions, it will import the full value for your answer, accounting for the horizontal axis units.) per Suppose the Guatemalan government wants to reduce imports to exactly 100,000 tons of oranges to help domestic producers. A tariff of $ ton will achieve this. A tariff set at this level would raises in revenue for the Guatemalan government. the behavioral component of cognitive-behavioral therapy in treating anorexia involves: Country A subsidizes oil development and Country B is losing any competitive advantage because of it. Krugman would agree that Country B hopes to minimize subsidies to prevent aO trade war.O economicO protecting national securityO issues A bank offers an investment account with an annual interest rate of 1.19% compounded annually. Amanda invests $3700 into the account for 2 years.Answer the questions below. Do not round any intermediate computations, and round your final answers to the nearest cent.(a) Assuming no withdrawals are made, how much money is in Amanda'saccount after 2 years?(b) How much interest is earned on Amanda's investment after 2 years? The work of a student to find the dimensions of a rectangle of area 8 + 12x and width 4 is shown below: Step 1: 8+12x Step 2: 4(4) +4(8x) Step 3: 4(4+8x) Step 4: Dimensions of the rectangle are 4 and 4+8x In which step did the student first make an error and what is the correct step?a. Step 2;4(2)+4x(2) b. Step 2;4(2)+4(3x)c. Step 3;4+(4+8x)d. Step 3;4+(48x) PLEASE LEAVE EXPLENATION!! :) To prevent DNS information from being altered during transmission, which of the following protocol should you use? A. SFTP. B. SSL. C. DNESSEC. A 10 kg ball is rolled to the top of a hill 37 m high using 4000 J of work. How much energy was lost due to heat? 1/a+1/b=1/x solve for x