2x-8y=6 x-4y=3I would like someone to walk me through the equation.

Answers

Answer 1

Solution

We have the following system of equations:

2x -8y= 6 (1)

x-4y = 3 (2)

We can solve for x from the (2) equation and we got:

x= 4y+3

Replacing into the first equation we have:

2*(4y+3) -8y= 6

Solving for y we got:

8y+6 -8y= 6

6=6

Infinite solutions

x= 3+4y

Then we can conclude that the solution is all the real numbers


Related Questions

The Boolean expression
A >= B
is equivalent to which of the following expressions?
(A) !(A < B)
(B) !(B >= A)
(C) !(A <= B)
(D) A != B
(E) B >= A

Answers

The Boolean expression A >= B is equivalent to  !(A < B) (option A)

To simplify a Boolean expression, use De Morgan's Law.

De Morgan's Law is used to simplify or find the equivalent of a negation of compound expressions.

The principle is:

NOT (A AND B) is equivalent to (NOT A) OR (NOT B)

NOT (A OR B) is equivalent to (NOT A) AND (NOT B)

When the expression involves >, <, = signs, then to simplify the expression, move the not and flip the sign.

! is the symbol of negation or NOT.

Hence,

! (>) becomes <=

! (<) becomes >=

Here are some examples:

!(A > B) is equivalent to (A <= B)

!(A <= B) is equivalent to (A > B)

!(A >= B) is equivalent to (A < B)

!(A == B) is equivalent to (A != B)

!(A != B) is equivalent to (A == B)

!(A < B) is equivalent to (A >= B)

From the above list we can conclude that A >= B is equivalent to !(A < B) (option A)

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Q7 PLEASE HELP ME !!!!!!!!!!!!!!!!!!!

Q7 PLEASE HELP ME !!!!!!!!!!!!!!!!!!!
Q7 PLEASE HELP ME !!!!!!!!!!!!!!!!!!!
Q7 PLEASE HELP ME !!!!!!!!!!!!!!!!!!!

Answers

The outcomes that are contained in the events are

X = 3 and 10 ⇒ P(X) = 1/5Not X =1, 2, 4, 5, 6, 7, 8 ⇒ P(Not X) = 4/5

1 - P(X) = 4/5 and 1 - P(X) is the same as P(Not X)

The outcomes contained in the events

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

X = gray colours

Given that

gray colours = 3 and 10

We have

X = 3 and 10

Not X =1, 2, 4, 5, 6, 7, 8

The probability is then calculated as

P(X) = 2/10 = 1/5

For P(Not X), we have

P(Not X) = 1 - 1/5 = 4/5

The equation of P(Not X)

In (a), we have

P(Not X) = 1 - 1/5 = 4/5

This means that

P(Not X) = 1 - P(X)

So, the solution is

1 - P(X) = 4/5

The equivalent expression

Using the above (a) and (b) as a guide, we have the following:

1 - P(X) is the same as P(Not X)

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Jolly measured the cake. Then she calculated that it has a circumference of 15cm. what is the cake's diameter? Use 3.14 for pi.
Will mark brainlest.

Jolly measured the cake. Then she calculated that it has a circumference of 15cm. what is the cake's

Answers

Answer:

4.76cm

Step-by-step explanation:

Given data

circumference= 15cm

The expression for circumference is

C= 2πr

substitute and solve for r

15= 2*3.14*r

r= 15/ 2*3.14

r=15/ 6.28

r= 2.38 cm

Hence the diameter is

D= 2r

D= 2*2.38

D=4.76cm

Help me quick gotta get a 100% before 12

Help me quick gotta get a 100% before 12

Answers

Answer:

A,

B

Step-by-step explanation:

If it's a 15 dollar variable fee and a flat 10 our equation looks like this

15c+10

which is the same as A

Now that we know the equation we can just plug a couple of numbers in

when c=3 what is h

15(3)+10=

55

THerefore the answer is B

Answer:

13) A

14) B

Step-by-step explanation:

For number 13 the answer is A because it says he gets charged 15 dollars per hours PLUS the 10 doller traveling fee. So basically:  15 charge + 10 travel fee = hour.

Now for number 14 we know the answer just from the first part. If its three hours then we need to multiply 15 dollars by 3 because like they said, he charges 15 dollars PER HOUR. 15 times 3 equals 45. But thats not all. We need to add 10 dollars to that because of the travel fee. 45 plus 10 equals 55. And the only table that shows 55 dollars is B so we already know the answer without doing the rest.

Andre wants to buy a new car. Gas is so expensive; Andre wants to purchase a
car that has the best gas millage rate.

Car 1 has gas mileage that can be described as y = 25x, where x is the
number of gallon of gas used and y is the total miles driven.
Car 2 has he gas mileage rate displayed in the table below.
Number of
Gallons of
Gas
2
5
7
8
11
60
150
210
240
330
Which car should Andre buy? How many more miles per gallon can he
drive in this car than the other car?

Answers

Answer: Andre should buy Car 2. Brainliest?

Step-by-step explanation:

To compare the gas mileage of the two cars, we need to find out how many miles each car can travel per gallon of gas.

For Car 1: y = 25x

This means that for every gallon of gas used (x), the car can travel 25 times that amount in miles (y). So, the gas mileage for Car 1 is 25 miles per gallon (mpg).

For Car 2: we can calculate the miles per gallon by dividing the total miles traveled by the number of gallons of gas used:

For 2 gallons of gas, the car can travel 60 miles. So, the gas mileage is 30 mpg (60 miles ÷ 2 gallons).

For 5 gallons of gas, the car can travel 150 miles. So, the gas mileage is 30 mpg (150 miles ÷ 5 gallons).

For 7 gallons of gas, the car can travel 210 miles. So, the gas mileage is 30 mpg (210 miles ÷ 7 gallons).

For 8 gallons of gas, the car can travel 240 miles. So, the gas mileage is 30 mpg (240 miles ÷ 8 gallons).

For 11 gallons of gas, the car can travel 330 miles. So, the gas mileage is 30 mpg (330 miles ÷ 11 gallons).

Therefore, Car 2 has a consistent gas mileage of 30 mpg.

From the above calculations, we can see that Car 2 has a better gas mileage compared to Car 1. Car 2 can travel 30 miles on a gallon of gas, while Car 1 can only travel 25 miles on a gallon of gas.

Therefore, Andre should buy Car 2 if he wants to get the best gas mileage. Car 2 can travel 5 more miles per gallon than Car 1.

17. The absolute value of -6 and 6 is

Answers

Answer:

6

Step-by-step explanation:

6....





..................

HELP!!! The probability that a male’s foot is between 10 and 12.5 inches is__
p(10

Answers

Answer:

I suggest you use Socratic, it solves questions like this.

Step-by-step explanation:

Simplify the expression StartFraction a b Superscript 3 Baseline over a Superscript 4 Baseline b EndFraction plus left-parenthesis c Superscript 2 Baseline right-parenthesis Superscript 3 Baseline

Answers

The simplification of the expression ab³/a⁴b  +  (c²)³ is determined as b²/a³  +  c⁶.

What is the simplification of the expression?

The given expression is simplified as follows;

The given expression is written as;

ab³/a⁴b  +  (c²)³

To simplify the expression given above, we will divide the fraction with the common factor as follows;

From the numerator; ab³, we will factor out "ab"

From denominator; a⁴b, we will factor out "ab"

The resulting expression becomes;

ab³/a⁴b  +  (c²)³

= b²/a³  +  c⁶

Note: for the power of c, we simplify by multiplying 2 and 3 = 6

Thus, the simplification of the expression ab³/a⁴b  +  (c²)³ is determined as b²/a³  +  c⁶.

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Help me find the equation of the line please need it now

Giving extra points


Correct answer only

Help me find the equation of the line please need it nowGiving extra points Correct answer only

Answers

Answer:

Step-by-step explanation:

If AB ⊥ CD, then \(m_{AB}\) \(m_{CD}\) = - 1

P( \(x_{1}\) , \(y_{1}\) )

y - \(y_{1}\) = m( x - \(x_{1}\) )

~~~~~~~~~~~~~~~~

y = - 2x + 6 and P(3, 3) , m = - 2

Slope of ⊥ line is \(\frac{1}{2}\)

y - 3 = \(\frac{1}{2}\) ( x - 3 )

y = \(\frac{1}{2}\) x + \(\frac{3}{2}\)  or y = 0.5x + 1.5

349 ×10 to the 5th power =

Answers

Answer:

34,900,000

Step-by-step explanation:

349 ×  \(10^{5}\)

\(10^{5}\) = 100,000

349 x 100000 = 34,900,000

So, the answer is 34,900,000

What of the following graph that is a straight line? 1:y =2x +7 or 2:y² = x-7 or y= 2x²+4 or y= 3x³

Answers

Answer:

1. y = 2x + 7

Step-by-step explanation:

The equation of a linear function is y = mx + b. The "x" has to be a first-degree polynomial (no exponents).

7+3 expressed as a difference

Answers

Answer:

7 - (-3)

Step-by-step explanation:

7 + 3 = 7 - (-3).

How many eighths are there in 4 3/8
ANSWER:​

Answers

Answer:

35/8

Step-by-step explanation:

4×8= 32 plus the 3/8 equals 35/8

hope it helps

Use the distributive property to simplify this expression for a parentheses 4(12 + 5)​

Answers

Answer:

68

Step-by-step explanation:

Use the distributive property to simplify this expression for a parentheses 4(12 + 5)

The height of the tank is 11 m and the radius of the tank is 5 m. the height of the water is 6 m and the radius of the water is 3 m. how much more water in cubic meters could you fit in the tank?

Answers

Answer:

221 cubic metre.

Step-by-step explanation:

Volume of water in tank (v) = π × {3}^{2} × 6

= 54π cubic metre

Volume of tank (v') = π × {5}^{2} × 11

= 275π cubic metre

More Water that can be fit in the tank = v' - v

=275π - 54π

= 221π cubic metre.

ANS.

. what is equal to 5/6

Answers

Answer:

10/12 is equal to 5/6

Step-by-step explanation:

We know that because 5 is half of 10, and 6 is half of 12

Which expressions describe the end behaviors of the function, f(x)= (3.25)^x+6, modeled by the graph? An exponential curve on a coordinate plane with horizontal x axis ranging from negative 10 to 10 in increments of 1. The vertical y axis ranges from negative 4 to 14 in increments of 1. The curve begins infinitely close to the line y equals 6 in the second quadrant. The curve increases through begin ordered pair 0 comma 7 end ordered pair. The curve passes through begin ordered pair 1 comma 9.25 end ordered pair and exits the first quadrant.

Answers

The expression that describe the end behavior of the expression f(x)= (3.25)^x + 6 is The curve begins infinitely close to the line y equals 6 in the second quadrant.

What is end behavior as used in math?

The behavior of the graph of a function at its "ends" on the x-axis is referred to as the end behavior of a function, f.

For example, if we look at the right end of the x-axis (as x approaches + ∞) and the left end of the x-axis (as x approaches - ∞), the end behavior of a function explains the trend of the graph.

The graph of the function is attached and from the graph it shows that the graph continued to tend towards towards line y = 6

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Which expressions describe the end behaviors of the function, f(x)= (3.25)^x+6, modeled by the graph?

The ordered pair (2, 10) is a point on a direct variation equation. Write the direct variation equation.

Answers

Answer:

Y=KX so its 10=K2

Step-by-step explanation:

Plug in the Number OR K=y/x

what is the sum 3x2 9 5x3

Answers

The sum of  3x2 + 9 + 5x3 is 30

We need to find the  sum of 3x2 + 9 + 5x3

First we have to multiply which is then followed by addition.

Addition is the process of adding two or more numbers together to get their sum. Addition in math is a primary arithmetic operation, used to calculate the total of two or more numbers

3x2 + 9 + 5x3

= 6 + 9 + 15

= 30

Therefore, the sum of  3x2 + 9 + 5x3 is calculated by adding the terms, and it is 30

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Collect data on the OBSERVATION table in ANNEXURE A to record 30 days of the minimum and maximum temperature in your community. Arrange the maximum temperature of the 30 days in ascending order to summarize the data. Determine the mean, mode, median, and range. Use the maximum temperature data and draw for each section a frequency table with appropriate intervals in ANNEXTURE B Display or represent the data from the frequency table on a pie chart in ANNEXTURE B. First, calculate the size of the angles for the pie chart. Example: Intervals between 20-30 are 5. Therefore the proportion of the Segment: 11 [360° = 72° Show all your calculations. 11 Which data collection best describe the maximum and why?​

Answers

Answer:

I do not have access to Annexure A and Annexure B, so I cannot collect the data, draw the frequency table or pie chart, or answer the last question. However, I can provide a general explanation of how to calculate the mean, mode, median, and range from a set of data.

To find the mean (average) of a set of data, add up all the values in the set and divide by the number of values. For example, if the maximum temperatures of the 30 days are:

25, 28, 29, 27, 26, 30, 31, 32, 29, 27, 26, 24, 23, 25, 28, 30, 32, 33, 34, 31, 29, 28, 27, 26, 25, 24, 23, 21, 20, 22

The sum of the values is:

25 + 28 + 29 + 27 + 26 + 30 + 31 + 32 + 29 + 27 + 26 + 24 + 23 + 25 + 28 + 30 + 32 + 33 + 34 + 31 + 29 + 28 + 27 + 26 + 25 + 24 + 23 + 21 + 20 + 22 = 813

Dividing by the number of values (30), we get:

Mean = 813/30 = 27.1

To find the mode of a set of data, identify the value that occurs most frequently. In this example, there are two values that occur most frequently, 27 and 29, so the data has two modes.

To find the median of a set of data, arrange the values in order from smallest to largest and find the middle value. If there are an even number of values, take the mean of the two middle values. In this example, the values in ascending order are:

20, 21, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 27, 28, 28, 29, 29, 29, 30, 30, 31, 31, 32, 32, 33, 34

There are 30 values, so the median is the 15th value, which is 28.

To find the range of a set of data, subtract the smallest value from the largest value. In this example, the smallest value is 20 and the largest value is 34, so the range is:

Range = 34 - 20 = 14

To create a frequency table for the maximum temperature data, we need to group the data into intervals and count the number of values that fall into each interval. For example, we could use the following intervals:

20-24, 25-29, 30-34

The frequency table would look like this:

Interval | Frequency

20-24 | 4

25-29 | 18

30-34 | 8

To calculate the size of the angles for the pie chart, we need to find the total frequency (30) and divide 360° by the total frequency to get the proportion of each interval in degrees. For example, for the interval 25-29:

Proportion = Frequency/Total frequency = 18/30 = 0.6

Angle = Proportion * 360° = 0.6 * 360° = 216°

We can repeat this calculation for each interval to obtain the angles for the pie chart.

In terms of the last question, it is not clear what is meant by "which data collection best describe the maximum and why?". If you could provide more context or clarification, I would be happy to try to help.

100 points!!!

Solve the following equation:

8x + 3 = 2x + 9

Answers

Answer:

\(\Huge \boxed{\boxed{ x = 1}}\)

Step-by-step explanation:

Isolate the variable on one side of the equation before trying to solve it. It means that you should only have constants (numbers) on the other side of the equal sign and the variable alone on the one side.

To do this, you can add, subtract, multiply, divide, or use any other operation to both sides of the equation as long as you do the same thing on both sides.

Your final step depends on the equation and how you've simplified it. In general, you want to figure out how you arrived at the final equation by working backwards from it. You'll isolate the variable in the last action you took.

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

Solution

Step1: Subtract \(\bold{2x}\) from both sides

\(8x + 3 = 2x + 9\)\(8x - 2x + 3 = 2x - 2x + 9\)\(6x + 3 = 9\)

Step 2: Subtract 3 from both sides

\(6x + 3 - 3 = 9 - 3\)\(6x = 6\)

Step 3: Divide both sides of the equation by 6

\(\frac{6x}{6} = \frac{6}{6}\)\(x = 1\)

So the solution to the equation \(\bold{8x + 3 = 2x + 9}\) is \(\bold{x = 1}\).

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

What does round to the nearest hundredth mean?

Answers

Answer:

Step-by-step explanation:

say for example you have 105 as a answer you would round to 100 because it a closer to 100 than 200

The hundredths place is the second place after the decimal. So if you have something like 13.4667 and you have to round to the nearest hundredth, it would be 13.47

Use the following information to answer the next question. In the process, what is the total distance that Jeremy covers?Use the following information to answer the next question.



In the process, what is the total distance that Jeremy covers?

Answers

The total distance covered by Jeremy is 1320 m

What is a line segment ?

A line segment in geometry is bounded by two separate points on a line. Another way to describe a line segment is as a piece of the line that joins two points. A line segment has two fixed or distinct endpoints while a line has no endpoints and can stretch in both directions indefinitely.

For sapling 1 = No distance is covered.

For sapling 2, distance covered = 10 m

Return distance=10 m

For sapling 3, distance covered =20 m

Return distance=20 m and so on

Thus the distances covered for saplings can be represented as : 0,2(10), 2(20),...i.e. 0,20, 40,...

Therefore total distance covered by Jeremy for planting 12 saplings and coming back to original position = S 12

Total distance covered = 122 [2(0) + (12 − 1) 20 ]

Total distance covered = 6 (11)(20) = 1320 m

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Complete question:

There are 12 saplings to be planted in a straight line at an interval of 10 m between

two consecutive saplings. Jeremy can carry only one sapling at a time and he has to

come back to the original point to take the next sapling. He plants 12 saplings in this

manner, planting the first sapling at the original point. After planting all the saplings,

he comes back at the original point,

In the process, what is the total distance that Jeremy covers?

Ms. Sperlack bakes 3 1/2 pies in 20 minutes. At this rate how many pies can she bake in 1 hour? 2 hours?

Answers

She can bake 21 pies in 2 hours.

How to calculate your bi-weekly paycheck based on 20 hour weeks at a rate of $9.00 per hour. Also, You will need to deduct Federal Income Tax (11.9%) , State Income Tax (3.6%), F.I.C.A (7.65%), and professional dues. Lastly you will need to look determine whether or not you will be able to pay your monthly car insurance bill of $200.00?

Answers

To calculate your bi-weekly paycheck, follow these steps:

Step 1: Calculate the gross earnings:

Multiply the number of hours worked per week by the hourly rate.

20 hours/week * $9.00/hour = $180.00/week

Step 2: Calculate the total earnings for two weeks:

Multiply the weekly earnings by the number of weeks in a bi-weekly pay period.

$180.00/week * 2 weeks = $360.00

Step 3: Calculate the deductions:

Calculate each deduction separately and subtract them from the gross earnings.

Federal Income Tax: $360.00 * 11.9% = $42.84

State Income Tax: $360.00 * 3.6% = $12.96

F.I.C.A: $360.00 * 7.65% = $27.54

Professional Dues: Amount varies depending on the specific dues.

Total Deductions: $42.84 + $12.96 + $27.54 + Professional Dues

Step 4: Calculate the net earnings:

Subtract the total deductions from the gross earnings.

Net Earnings = Gross Earnings - Total Deductions

Once you have the net earnings, you can determine if it is sufficient to cover your monthly car insurance bill of $200. If your bi-weekly net earnings are greater than or equal to $200, you will be able to pay your car insurance bill.

It is important to note that these calculations are based on the information provided, and actual tax rates and deductions may vary depending on your specific circumstances and location.

Additionally, professional dues may differ depending on your profession. It is recommended to consult with a tax professional or payroll department for precise calculations.

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When an accountant records_ on hand, they are noting a company's ____

A. human resources; total liquid assets
B. cash; total of amount dollars, money orders, checks, and other forms of
money
C. supplies; materials that need to be purchased soon
D. inventory; number of employees on payroll

Answers

Answer:  Choice B

Explanation: The phrase "cash on hand" means the amount of money the company has. It could be literal cash as the phrase directly implies. Or it could be near equivalents to cash. A near equivalent is something you can convert to cash fairly easily, meaning a bank would readily accept it. The only drawback is that it's not actual cash so its not as liquid as cash itself. Also, you would need to take into account the delay time between deposit and when the bank balance is updated.

help! please give 35 points

help! please give 35 points

Answers

The area of the composite figure is 378.5 square feets.

How to find the total area of the figure?

We can decompose this into a rectangle of 30ft by 10ft and a circle whose diameter is 10ft.

Remember that the area of a rectangle of width W and length L is given by:

A = L*W

So the area of this rectangle is:

A = 30ft*10ft = 300ft²

And the area of a circle whose diameter D is:

A = 3.14*(D/2)²

So in this case the area of the circle is:

A = 3.14*(10ft/2)²

A = 3.14*(5ft)² = 78.5 ft²

Then the total area of the composite figure is:

area = 300ft² + 78.5 ft²

area = 378.5 ft²

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what is the answer pls Question 29 of 45
In the triangle below, what is the length of MN?
OA. 50
OB. 100
OC. 20
OD. 40
50
20
M
50

what is the answer pls Question 29 of 45In the triangle below, what is the length of MN?OA. 50OB. 100OC.

Answers

The calculated length of the segment MN in the triangle is 20

How to find the length of the segment MN in the triangle

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

The triangle

The third angle in the triangle is calculated as

Third angle = 180 - 50 - 50

Evaluate

Third angle = 80

The length of the segment MN is then calculated as

MN/sin(50) = 20/sin(50)

This gives

MN = sin(50) * 20/sin(50)

Evaluate

MN = 20

Hence, the length of the segment MN in the triangle is 20

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plz help i beg u
lara made a scale drawing of a famous monument. she used a scale factor of 1 inch = 1.6 feet. if the height of the monument in drawing is 17.4 inches, compute the actual height of the monument.

Answers

Answer:

27.84?

Step-by-step explanation:

17.4*1.6

513.4497 rounded to the hundredths place

Answers

Answer:

513.45

Step-by-step explanation:

use intelligence

The answer is 513.45
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Is the most effective protection instrument identified in (a) realistically politically obtainable and one you would recommend that J.J. pursue? Which of the three instruments, if any, is J.J realistically most likely to be able to obtain from government? Is there any protectionist measure aside from the three mentioned in (a) which you would recommend J.J. pursue? Please justify all parts of your response. (Recommendation portion) PLS HELP TIMEDAfter Abraham Lincoln's election, southern states began toa. oppose his Presidencyb. claim voter fraudc. secede from the Uniond. declare war Question 4 of 21The graphs below have the same shape. The equation of the blue graph is f(x)= 2. Which of these is the equation of the red graph, g(x)?g(x) = ?Vf(x)=xO A g(x)=x-5OB. g(x)=(x-5)O C. g(x)=x+5OD. g(x) = (x+ 5) Amy and Sarah want to make money to buy Christmas gifts for their mothers. They see their opportunity in making and selling necklaces from glass beads. For this venture to be successful, they must first invest $500 for various tools. For each necklace they would need to purchase a set of beads. The supplier is offering each set for the basic price of $15. The girls presume that $65 per necklace would be their selling price. i. Derive the revenue function. ii. Derive a cost function. iii. What is the total cost of producing 40 necklaces? iv. Determine the profit function? v. How many necklaces must the girls sell to make a profit of $2000 ? vi. Determine the breakeven point for the girls. vii. How much money would the girls make if they sold 10 Necklaces? for the second question the options are: 71034, 71034000, 710.34 and 7013.4 Give the simplified radical form for each side length requested.Pls answer only if you can explain and if your sure its the right answer. I need help in understanding how to work it myself so please make sure you explain well. A circular kiddie pool has an area of about 28 square feet. An inflatable full-size circular pool has an area of about 113 square feet. How much greater What soil particle size has the greatest oxygen holding capacity? What soil particle size has the greatest water holding capacity "U.S. birthrate continues to drop, signaling a colicky future for makers of baby products." FLVS Economics lesson 1.05 Diana is going to roll a 6-sided die. What's the probability she will role a 4 ora 5? * (11) If goods X and Y are substitues, which of the following could (11)_______be the value of the cross-price elasticity between X and Y-0.5-5neither a), nor b)both a) and b)(12) A 6% increase in the price of tea causes a 12% increase (12): Din the demand for coffee. The cross elasticity of demand for coffee withrespect to the price of tea is:a) -0.5b) 0.5c) -2.0d) 2.0(13) All of the following statements are correct except: (13)_______Marketing mix comprises product, price, promotion, and place.Market intelligence is an important facilitating function that makes possible the smooth performance of the agro-food supply chain.Standardization and transportation are facilitating functions.Speculative middlemen buy and sell products with the major goal of profiting from short-term price fluctuations.(14) All of the following statements are incorrect except: (14)_______Farm sector is not part of the food marketing system.The relationship between farmers and food marketing firms is only competitive and not complementary.Competition plays a key role in fostering pricing efficiency.Livestock commission firms receive their income from merchandising livestock products.(15) All of the following statements are correct except: 15)_______(a) Economies of scale brought by specialization is one reason why middlemen exist.(b) Allocative efficiency is only possible in perfectly competitive markets.(c) The standardization function helps achieve productive and allocative efficiencies.(d) Agent middlemen provide market knowledge to buyers and sellers and benefit from short-run price fluctuations. a child attempts to pet a dog and the dog barks loudly at the child, causing her to startle and never pet that dog again. what consequence has influenced her future behavior? what is the main idea of Admendment 1 of the bill of rights PLEASE HELP!!!!!!!! A cardboard box is 32 centimeters long, 15 centimeters wide, and 6 centimeters tall. The box does not have a top. How much cardboard was used to make the box?