BRAINLIEST ANSWER!! ASAP

3(x+1)+6=-9
PLEASE EXPLAIN HOW YOU GOT THE ANSWER

Answers

Answer 1

Answer:

x=-6

Step-by-step explanation:

use distributive property on the () and times x and 1 by three

then you subtract 6 from both sides

then subtract three from both sides

then divide both sides by 3

your work would look like this:

3(x+1)+6=-9

3x+3+6=-9

3x+3=-15

3x=-18

x=-6

Hope this helps!

Answer 2

Answer:

X=6

Step-by-step explanation:

3(x+1)+6=−9

Step 1: Simplify both sides of the equation.

3(x+1)+69(3)(x)+(3)(1)+6=−9

(Distribute)

3x+3+6=−9(3x)+(3+6)=−9

(Combine Like Terms)

3x+9=−93x+9=−9

Step 2: Subtract 9 from both sides.

3x+9−9=−9−93x=−18

Step 3: Divide both sides by 3.

3x3=−18/3

x=−6


Related Questions

Fiona's fashion store is world renowned for its buttoned uniforms. A collection of 363636 shirts and 424242 jackets contains 842842842 buttons. A collection of 666 shirts and 777 jackets contains 137137137 buttons. Each shirt has the same number of buttons, and each jacket has the same number of buttons. How many buttons are there in a fiona's fashion shirt, and how many buttons are there in a jacket?.

Answers

The value of an integer or any letter associated with a variable is known as its coefficient. In the expression 2x + 3y, for instance, the variable x has a coefficient of 2 and the variable y has a coefficient of 3.

There are 842 buttons in 36 shirts and 42 jackets if the number of buttons in each is equal to x.

Additionally, the collection of six shirts and seven jackets has 137 buttons.

It can be expressed using the following equations:

36 x + 42 y = 842 ------(1);

6 x + 7 y = 137 ------(2);

6 x + 36 x + 42 y = 822 ------(3).

Although the constant term on one side of equation is different, the x and y coefficients are the same in both of these equations. This indicates that neither equation has a solution.

I.e →a1/a2=b1/b2≠c1/c2

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I need help as soon as possible please

I need help as soon as possible please

Answers

Answer:

The answer is a. 40

Step-by-step explanation:

The measures of triangle a triangle add up to 180 degrees. So, 100 + 40 = 140. 180 - 140 = 40. Hope it helps!

In a paint factory, an old conveyer line has filled 10 barrels of paint, and is filling more at a rate of 2 barrels per minute. A worker just switched on a newer line that can fill 3 barrels per minute. In a little while, the two lines will have filled an equal number of barrels. How many barrels will each line have filled?

Simplify and put into Slope-Intercept form

Answers

Answer:

see below

Step-by-step explanation:

First line:

y = mx+b  where m is the slope and b is the y intercept

y = 2x + 10

Second line

y = mx+b

y = 3x+0  since there are no barrels filled on this line when they flip the switch

Setting the two equations equal

2x+10 = 3x

Subtract 2x from each side

2x+10-2x= 3x-2x

10 = x

Each line will have filled 10 barrels when they numbers are equal.

Which expression is equivalent to 7^3 ⋅ 7^−5? (4 points)

Answers

Answer:

1/49

Step-by-step explanation:

Dear Ms. Quadratic
I followed all of the directions given in your
brochure on how to order a parabola. I tried to
order a parabola that is passed through the points
(1,0) and (-6,0)

Answers

Answer:

We have the parabola as;

x^2 + 5x - 6

Step-by-step explanation:

Here, we want to get a parabola that passes through the points (1,0) and (-6,0)

The general form of a quadratic equation is;

y = ax^2 + bx + c

We have two x-intercepts at x = 1 and x = -6

A quadratic equation is expected to have two roots only and that means we have these two values as the roots

Hence, we have ;

(x-1) and (x + 6)

The parabola is thus;

(x-1)(x + 6)

= x(x + 6) -1(x + 6)

= x^2 + 6x - x -6

= x^2 + 5x - 6

Chris has a bag of M&Ms. 7 are brown, 3 are
blue, 5 are green, and 5 are yellow. What
frations of the M&Ms in the bag are yellow?

Answers

Answer:

5/20 or 1/4 are yellow

Step-by-step explanation:

7/20 are brown

3/20 are blue

5/20 (1/4) are green

5/20 (1/4) are yellow

Please brainliest!

Answer:

5/20

Step-by-step explanation:

Find the area of the rectangle on this centimetre grid. (no its not 28,i tried it many times) ​

Find the area of the rectangle on this centimetre grid. (no its not 28,i tried it many times)

Answers

Answer:

28cm

Step-by-step explanation:

*if this is wrong its because they didnt line the square up properly*

But the answer os 28 because, what you will need to do is multiply side and top

The side has 4 squares in the box

and the top has 7

so multipy 7 x 4 or 4 x 7

7 x 4 = 28

Pls last one and I’ll finally be able to sleep someone pls make sure it’s right

Pls last one and Ill finally be able to sleep someone pls make sure its right

Answers

slope is 1 bc u see where the points are and go up until u find the other point

Answer:

-2/2 = -1/1 = -1

A shoemaker sold a pair of for $245.99 if the buyer a $300.00 bill, how much will the buyer receive in change?

*two decimal places don't forget your $ sign. Example: $50.00 NOT 50*

Answers

Answer:

$54.01

Step-by-step explanation:

All you have to do is $300.00-$245.99 .

3 2/5 as a single fraction

Answers

17/5 is the rewrite as a improper fraction

Discuss THREE ways on how bad behaviour in sport in a country can
dampen nation building.
(3 x 2) C
Fynlain
ba
ode
f
othie
in.
enorts can encourage positive​

Answers

Answer:

Step-by-step explanation:

chicken

Please help! 50 points! Will give brainliest!

Please help! 50 points! Will give brainliest!

Answers

a. An exponential growth rate equation to represent the cost C₁ of this home is \(C_1 = 250000e^{0.038t}\).

b. An exponential growth rate equation to represent the cost C₂ of this home is \(C_2 = 275000e^{0.022t}\).

c. The time in which each home would reach a price of $320,000 is 6.5 and 6.8 years respectively.

d. The price of the home in the first area is lower.

How to write an exponential growth rate equation for the cost?

In Mathematics and Financial accounting, continuous compounding interest can be determined or calculated by using this mathematical equation (formula):

\(A(t) = P_{0}e^{rt}\)

Where:

A(t) represents the future value.P₀ represents the principal.r represents the growth rate.t represents the time measured in years.

Part a.

Based on an exponential growth rate of 3.8% in the first area, the cost of this home in t years can be written as follows;

\(A(t) = P_{0}e^{rt}\\\\C_1 = 250000e^{0.038t}\)

Part b.

Based on an exponential growth rate of 2.2% in the second area, the cost of this home in t years can be written as follows;

\(A(t) = P_{0}e^{rt}\\\\C_1 = 275000e^{0.022t}\)

Part c.

At a price of $320,000 for the home, the number of years to reach this price is given by:

\(C_1 = 250000e^{0.038t}\\\\320000 = 250000e^{0.038t}\\\\1.28= e^{0.038t}\)

ln(1.28) = 0.038t

Time, t = 0.24686007793/0.038

Time, t = 6.49 ≈ 6.5 years.

\(C_2 = 275000e^{0.038t}\\\\320000 = 275000e^{0.022t}\\\\1.16= e^{0.022t}\)

ln(1.16) = 0.022t

Time, t = 0.14842000511/0.022

Time, t = 6.75 ≈ 6.8 years.

Part d.

The house with the lower price can be determined as follows;

\(C_1 = 250000e^{0.038 t}\\\\C_1 = 250000e^{0.038\times 3}\)

C₁ = 250,000 × 1.12075212488

C₁ = $280188.03122

\(C_2 = 275000e^{0.038t}\\\\C_2 = 275000e^{0.022 \times 3}\)

C₂ = $293762.347221.

In conclusion, the home in the first area is cheaper.

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Use a formula to find the surface area of the square pyramid?(H.6ft.)(W.3ft.)(L.3ft.)
A. 45 ft
B. 81 ft
C. 36 ft
D. 72 ft

Answers

The surface area of the square pyramid is 45.

What is the formula for square pyramids?A square pyramid in geometry is a pyramid with a square base. It is a right square pyramid with C4v symmetry if the apex is perpendicular to and above the square's centre. It is an equilateral square pyramid, the Johnson solid J1, if all edge lengths are equal.The term "square pyramid" refers to a three-dimensional geometric form with a square base and four triangular faces or sides that meet at a single point (known as the vertex). Because it has five faces, it is referred to as a pentahedron.These are the Square Pyramid formulas: Square Pyramid Base Area = b. A square pyramid's surface area is equal to 2 b s + b. A square pyramid's volume is equal to frac (1/3) b2 h.

Given data :

H = 6ft.)

W = 3ft

L = 3ft.

2 × b × s +b. Volume of a Square Pyramid

= 45ft

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graph (-5,0) (9,0) (8,-39)

Answers

Answer:

just plot the coordinates down on graph and then u'll have them graphed

Step-by-step explanation:

I don't know I'm too lazy 2 put an explanation

how to determine mean and standard deviation from a histogram in matlab

Answers

To determine the mean and standard deviation from a histogram in MATLAB, you can use hist" function then "the mean" function then std" function.

1. Use the "hist" function to create the histogram.

2. Use the "mean" function to calculate the mean of the data.

3. Use the "std" function to calculate the standard deviation of the data.

1. Use the "hist" function to create the histogram. For example, "hist(x)" will create a histogram of the data in the vector "x".
2. Use the "mean" function to calculate the mean of the data. For example, "mean(x)" will return the mean of the data in the vector "x".
3. Use the "std" function to calculate the standard deviation of the data. For example, "std(x)" will return the standard deviation of the data in the vector "x".
So, if you have a vector "x" containing the data you want to analyze, you can use the following code to determine the mean and standard deviation:
hist(x);
mean_x = mean(x);
std_x = std(x);

This will create a histogram of the data, and calculate the mean and standard deviation. You can then use these values to further analyze the data.

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Work out 5/7 of 100
Give your answer correct to the nearest whole number.

Answers

Answer:

71

Step-by-step explanation:

100÷7≈14.1

14.1×5=70.5

70.5 rounded to the nearest whole number is 71

a company purchases shipments of machine components and uses this acceptance sampling plan: randomly select and test 25 components and accept the whole batch if there are fewer than 3 defectives. if a particular shipment of thousands of components actually has a 7% rate of defects, what is the probability that this whole shipment will be accepted?

Answers

If particular shipment of thousands of components actually has a 7% rate of defects, there is a 54.29% probability that this whole shipment will be accepted.

According to the company's acceptance sampling plan, 25 components are randomly chosen and tested from a shipment before the entire batch is accepted if there are no more than three defects. The probability of choosing a defective component from a sample of 25 is computed as follows, assuming that the shipment genuinely has a 7% defect rate:

P(defective) = 0.07

P(non-defective) = 0.93

Using the binomial distribution, we can calculate the probability of having 0, 1, or 2 defectives in a sample of 25:

P(X ≤ 2) = P(X=0) + P(X=1) + P(X=2)

= (0.93)²⁵ + 25(0.07)(0.93)²⁵ + (0.07)²(0.93)²³

= 0.5429

This means that there is a 54.29% chance of having 2 or fewer defectives in a sample of 25. Since the whole shipment will be accepted if there are fewer than 3 defectives in the sample, this is the probability that the whole shipment will be accepted. Therefore, there is a 54.29% chance that the company will accept the shipment based on their acceptance sampling plan.

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your sample consists of 87 subjects, with 71 successes. calculate the test statistic, rounded to 2 decimal places

Answers

sample consists of 87 subjects, with 71 successes.the test statistic, rounded to 2 decimal places ,Test statistic = (71/87) = 0.81

To calculate the test statistic, you need to divide the number of successes by the total number of subjects in the sample.

In this case, the number of successes is 71 and the total number of subjects is 87.

Therefore, the test statistic is calculated a

s 71/87 = 0.81

which can be rounded to two decimal places. The result of the calculation is that the test statistic is 0.81.

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help me please ............................

help me please ............................

Answers

Answer: I belive the answer is c.

Step-by-step explanation:

At what point does the line given by the following equation cross the y-axis?
y = -2x + 3

Answers

The given line y = -2x + 3 will cross the y-axis at (0, 3).

Coordinate plane:  

A coordinate plane is a two-dimensional plane that consists x-axis and a y-axis. These are perpendicular to each other and will be intersected at the point called the origin.  

The coordinates of the point that lies on the y-axis are (0, y), Similarly, the coordinates of the point that lies on the x-axis are (0, x).    

Here we have

The equation of the line is y = -2x + 3  

To find the required point take x = 0

=> y = -2(0) + 3

=> y = 0 + 3

=> y = 3

Therefore,

The given line y = -2x + 3 will cross the y-axis at (0, 3).

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how much does the job pay in a 8hour day if they have 5 employees working $25 a hr

Answers

Answer:

1000$

Step-by-step explanation:

1000$

What are the two conditions that an asset of a business needs to fulfill?

Answers

Answer:

✒️Answer:

Two conditions must be satisfied. First, the revenue must be earned, which typically means that the customer has received the good or service. Second, the revenue must have been realized or realizable, implying that the customer has paid or is expected to pay for the merchandise.

Step-by-step explanation:

#CarryOnLearning

\(watch.some.anime\)

The speeds of the fastballs thrown by major league baseball pitchers were measured by radar gun. The mean speed was 87 miles per hour. The standard deviation of the speeds was 3 mph. Which of the following speeds would be classified as an outlier?
a. 84 mph b. 92 mph c. 97 mph d. 81 mph

Answers

Thus, the answer is option (c) 97 mph.

An outlier is a value that lies significantly away from the rest of the values in the dataset. For a given dataset, we can determine outliers using z-scores.According to the problem statement, the mean speed of the fastballs thrown by major league baseball pitchers is 87 mph, and the standard deviation is 3 mph. To determine which speed is an outlier, we need to find its corresponding z-score.z = (x - μ) / σHere, x is the speed we want to test, μ is the mean speed, and σ is the standard deviation of speeds.Using the formula above, we can calculate the z-scores for each speed given in the options:a. z = (84 - 87) / 3 = -1b. z = (92 - 87) / 3 = 1.67c. z = (97 - 87) / 3 = 3.33d. z = (81 - 87) / 3 = -2Since a z-score of ±2 or higher is generally considered an outlier, the speeds of 97 mph and 81 mph are classified as outliers. Thus, the answer is option (c) 97 mph.

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A multiple-choice quiz has 5 questions. Each question has 3 possible answers. A student guesses the answer to each question. Find the probability that the student answers all 5 questions incorrectly.

Answers

Answer: 3^5=243. 1/243

Step-by-step explanation:

We calculate the amount of ways he can answer 5 questions. It's 3x3x3x3x3 because he has 3 questions at the start with each of the 3 having another 3 questions to choose from and so on.

Find the area of a circle with radius, r = 52cm squared




Give your answer rounded to 3 SF.​

Answers

Answer: 849

Step-by-step explanation:

πr^2

π x 52^2 = 8494.866535

3 SF = 849

Suppose that 10 percent of the tubes produced by a machine are defective. If 6 tubes are inspected at random, determine the probability that: (a) Three tubes are defective; (b) At least four tubes are defective;

Answers

a) The probability that three tubes are defective is approximately 0.0146, or 1.46%.

b) The probability that at least four tubes are defective is 0.4686 or 46.86%.

To solve this problem, we can use the binomial probability formula:

P(X = k) = (n choose k) * p^k * (1-p)^(n-k)

where X is the number of defective tubes, n is the total number of tubes inspected, p is the probability that a tube is defective, and (n choose k) is the binomial coefficient, which represents the number of ways to choose k items out of n.

(a) To find the probability that three tubes are defective out of six, we can plug in n = 6, k = 3, and p = 0.1 into the formula:

P(X = 3) = (6 choose 3) * 0.1^3 * 0.9^3
          = 20 * 0.001 * 0.729
          = 0.01458

Therefore, the probability that three tubes are defective is approximately 0.0146, or 1.46%.

(b) To find the probability that at least four tubes are defective out of six, we can use the complementary probability:

P(X >= 4) = 1 - P(X < 4)

To find P(X < 4), we can add up the probabilities of having zero, one, two, or three defective tubes:

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
               = (6 choose 0) * 0.1^0 * 0.9^6 + (6 choose 1) * 0.1^1 * 0.9^5 + (6 choose 2) * 0.1^2 * 0.9^4 + (6 choose 3) * 0.1^3 * 0.9^3
               = 0.53144

Therefore, P(X >= 4) = 1 - 0.53144 = 0.46856, or approximately 46.86%.

So the probability that at least four tubes are defective is 0.4686 or 46.86%.

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Is the equation y=x+1 / x²+1 in simplest form? Explain how you can tell.

Answers

According to the question, the equation \(\frac{x+1}{x^{2} +1}\) is the algebraic equation as well as polynomial equation. Using square root principles, the equation can be re-write.

The factors of the denominator term is not possible and it cannot be simplified. And the simplification is possible with the concept of complex number.

What is polynomial expression?

Polynomial expression are those equation whose highest degree is two. It is also called as quadratic equation. And it is simplified by performing the factors on the given expressions.

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3. College logo T-Shirts priced at $15 sell at a rate of 25t-shirts per week, but when the bookstore marks them down to $10, it finds that it can sell 50 t-shirts per week. What is the price elasticity of demand for the logo Tshirts? Is it elastic, inelastic or unit elastic and WHY? Did the t-shirt make a good decision in lowering the price of t-shirts? WHY OR WHY NOT? Explain by calculating total revenue for each price at $15 and $10 and then use the price-total revenue test format to see if t-shirts are elastic, inelastic or unit elastic and WHY.

Answers

The price elasticity of demand (PED) for the logo T-shirts is 1.67, indicating that the demand for T-shirts is elastic. Lowering the price from $15 to $10 increased the total revenue, suggesting that the T-shirt made a good decision in lowering the price. This is because the price change led to a significant increase in quantity demanded and overall revenue.

To calculate the price elasticity of demand (PED), we can use the following formula:

PED = ((Q2 - Q1) / ((Q2 + Q1) / 2)) / ((P2 - P1) / ((P2 + P1) / 2))

Given that Q1 = 25, Q2 = 50, P1 = $15, and P2 = $10, we can substitute these values into the formula:

PED = ((50 - 25) / ((50 + 25) / 2)) / (($10 - $15) / (($10 + $15) / 2))

Simplifying this expression:

PED = (25 / 37.5) / (-5 / 12.5)

PED = (-2/3) * (-2.5) = 1.67

The price elasticity of demand (PED) for the logo T-shirts is 1.67.

Since PED is greater than 1, it indicates that the demand for T-shirts is elastic. This means that a decrease in price by 1% will result in a greater than 1% increase in quantity demanded. To determine if lowering the price was a good decision, we can analyze the effect on total revenue. The price-total revenue test states that:

If PED is elastic (greater than 1), a decrease in price will lead to an increase in total revenue.

If PED is inelastic (less than 1), a decrease in price will lead to a decrease in total revenue.

If PED is unit elastic (equal to 1), a change in price will have no effect on total revenue.

Let's calculate the total revenue at both prices:

Total Revenue at $15 = $15 * 25 = $375

Total Revenue at $10 = $10 * 50 = $500

Comparing the total revenue at each price, we can see that lowering the price from $15 to $10 increased the total revenue from $375 to $500. Therefore, the T-shirt made a good decision in lowering the price because it led to an increase in total revenue.

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Number 35 please
I need Asap

Number 35 pleaseI need Asap

Answers

I believe it’s 23, since 15% of 20 is 3, but i may be wrong

chegg consider the following systems of equations.use the formulation in (29) to rewrite the systems in the form x

Answers

Identify the given systems of equations. Use the formulation in (29) to rewrite each equation in terms of x.

Write the rewritten equations in a systematic form using the variables to provide a conclusion summarizing the process.

To rewrite the given systems of equations in the form x, you need to use the formulation in (29). This formulation will help you express each equation in terms of x.

After rewriting each equation, you can then write them in a systematic form using the variable x.

By following the formulation in (29) and substituting x into each equation, you can rewrite the systems of equations in terms of x. This will allow you to represent the equations in a systematic form using the variable x.

To rewrite systems of equations in the form x, use the formulation in (29). This will help you express each equation in terms of x.

By substituting x into each equation, you can rewrite the systems of equations in a systematic form using the variable x.

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wrote such works as the sheep well, lived at the same time as shakespeare and wrote in a similar form. Peter compared dog food prices, to find the better deal. The 25-poundag cost $30.00, and the 15-pound bag cost $17.85. Which pound bag isme better deal? Select a profession from the juvenile justice system that you believe will be a good match for you. This can be a profession from any of the three different elements of the system, but be specific in your position choice (i.e. if you choose to research a juvenile probation officer position, pick a specific court or probation agency department and research that position).Section one: A description of the specific job you have chosen. Please specify job duties and expectations. (these may surprise you as you research the position)Section two: Qualifications necessary to be considered for the position. This includes educational requirements, availability and conditions that would exclude you from consideration (i.e. past crimes or medical conditions)Section three: Describe the hiring and assessment process including any tests, background investigations, psychological and medical exams, polygraph/vsa and interviews.Section four: Explain any post-hiring training necessary prior to assuming full duties. (i.e. academies, field training, probationary periods etc.) Here is a list of ages (years) of children in a room: 7, 5, 9, 8, 5, 5, 9 State the median. 1. Write the commands for the function given below: (1 x 3 = 3 Marks) Function Command To make a directory To display the calendar of May 2022 To allowed the processing of equations from the command line. To Set Default Permissions. Problem 4.5.4, Part 4 of 4 0/1 point (graded) You might notice that the weakness in the design of this gradebook is that it makes it difficult to change a certain individual's grades. 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In the human arm, the forearm and hand pivot about the elbow joint. Consider a simplified model in which the biceps muscle is attached to the forearm 3.80 cm from the elbow joint. Assume that the person's hand and forearm together weigh 15.0 N and that their center of gravity is 15.0 cm from the elbow (not quite halfway to the hand). The forearm is held horizontally at a right angle to the upper arm, with the biceps muscle exerting its force perpendicular to the forearm.A. Find the force exerted by the biceps when the hand is empty.B. Now the person holds a 80.0-N weight in his hand, with the forearm still horizontal. Assume that the center of gravity of this weight is 33.0 cm from the elbow. Find the force now exerted by the biceps.C. Explain why the biceps muscle needs to be very strong.D. Under the conditions of part B, find the magnitude of the force that the elbow joint exerts on the forearm.E. Under the conditions of part B, find the direction of the force that the elbow joint exerts on the forearm.F. While holding the 80.0-N weight, the person raises his forearm until it is at an angle of 53.0 above the horizontal. If the biceps muscle continues to exert its force perpendicular to the forearm, what is this force when the forearm is in this position?G. Has the force increased or decreased from its value in part B? Explain why this is so, and test your answer by actually doing this with your own arm. Balloon a is ___ charged and balloon c is ___ charged. If balloon a approaches balloon c there will be a force of blank between them Asim's HookNLadder is the only company selling fire engines in the fictional country of Alexandrina. Asim initially produced eight trucks, but then decided to increase production to nine trucks. The following graph gives the demand curve faced by Asims HookNLadder. As the graph shows, in order to sell the additional fire truck, Asim must lower the price from $80,000 to $60,000 per truck. Notice that Asim gains revenue from the sale of the additional engine, but at the same time, he loses revenue from the initial eight engines because they are all sold at the lower price.Use the purple rectangle (diamond symbols) to shade the area representing the revenue lost from the initial eight engines by selling at $60,000 rather than $80,000. Then use the green rectangle (triangle symbols) to shade the area representing the revenue gained from selling an additional engine at $60,000. Asim should/should not increase production from 8 to 9 fire engines because the output effect/price effect dominates in this scenario. True or False: If alternatively Asim's HookNLadder were a competitive firm and $80,000 were the market price for an engine, decreasing its price from $80,000 to $60,000 would result in a decrease in the production quantity, but an increase in total revenue. Answer the question correctly. Look at the 2 pictures. What piece of land did tomochichi control What is the difference between high-, middle-, and low-range theories? Explain yourunderstanding of a middle-range nursing theory. Identify a research study in which amiddle-range theory was applied. Discuss the study results and implications for practice. One day, while playing in the park, you notice a statue carved out of stone in the middle of the pond. As you look more closely you realise that it is moving... Write a story about what happens when the statue comes to life. Which of the following choices best describes the rhetorical appeal used in this excerpt? the excerpt demonstrates logos because it is completely objective and lacking in emotion. the excerpt demonstrates logos because it contains statistics to support the authors claim. the excerpt demonstrates ethos because the author positions himself as an expert on the topic. the excerpt demonstrates pathos because the author presents a compelling story using emotional language. does anyone know this? I dont get it Who couldn't vote in the roman republic?