find the cost function for the given marginal cost and fixed cost. marginal cost fixed cost (x = 0) dc dx = 1 60 x 30 $7,000 c =

Answers

Answer 1

Therefore, the cost function is C = ln|x| + 60x + 7000 + C', where MC = 1x + 60 and FC = $7,000.

We know that the marginal cost (MC) is the derivative of the cost function (C) with respect to quantity (x):

MC = dC/dx

In this case, we are given that:

MC = 1x + 60

And we know that the fixed cost (FC) is $7,000 when x = 0.

To find the cost function, we need to integrate the marginal cost with respect to x, and add the fixed cost:

C = ∫(MC)dx + FC

C = ∫(1x + 60)dx + 7000

C = ln|x| + 60x + 7000 + C'

where C' is the constant of integration.

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Related Questions

Which of the following quantities are inversely proportional?

The time it takes to use a 5 lb bag of dry cat food and the number of cats, if each cat eats the same amount of food per same time interval.

Answers

Answer:

inversely proportional

Step-by-step explanation:

. Equivalent Units Calculations—Weighted Average Method Terrace Corporation makes an indus- trial cleaner in two sequential departments, Compounding and Drying. All materials are added at the beginning of the process in the Compounding Department. Conversion costs are added evenly throughout each process. Terrace uses the weighted average method of process costing. In the Com- pounding Department, beginning work-in-process was 2,000 pounds (60% processed), 36,000 pounds were started, 34,000 pounds were transferred out, and ending work-in-process was 70% processed. Calculate equivalent units for the Compounding Department for August 2019.

Answers

The equivalent units for the Compounding Department for August 2019 is 57,000 pounds.

Here is the explanation -

To calculate the equivalent units for the Compounding Department in August 2019 using the weighted average method, we need to consider the units that were started and completed, as well as the ending work-in-process.

Step 1: Calculate the equivalent units for units started and completed:
- 36,000 pounds were started.
- 34,000 pounds were transferred out.
Equivalent units for units started and completed = 34,000 pounds.

Step 2: Calculate the equivalent units for ending work-in-process:
- Ending work-in-process was 70% processed.
- Beginning work-in-process was 2,000 pounds (60% processed).
Equivalent units for ending work-in-process = (70% x Ending work-in-process) + (60% x Beginning work-in-process)
Equivalent units for ending work-in-process = (70% x 2,000 pounds) + (60% x 36,000 pounds)
Equivalent units for ending work-in-process = 1,400 pounds + 21,600 pounds
Equivalent units for ending work-in-process = 23,000 pounds.

Step 3: Calculate the total equivalent units:
Total equivalent units = Equivalent units for units started and completed + Equivalent units for ending work-in-process
Total equivalent units = 34,000 pounds + 23,000 pounds
Total equivalent units = 57,000 pounds.

Therefore, the equivalent units for the Compounding Department for August 2019 is 57,000 pounds.

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help!!!!!!!!!!!!!!!!

help!!!!!!!!!!!!!!!!

Answers

Answer:

4

Step-by-step explanation:

it is how many more

-25 x(84/21)+(-3)x(-6)

Answers

To solve the expression -25 x (84/21) + (-3) x (-6), follow these steps:

Step 1: Perform the division inside the parentheses.
(84/21) = 4

Step 2: Replace the terms and rewrite the expression.
-25 x (4) + (-3) x (-6)

Step 3: Perform the multiplications.
-25 x 4 = -100
-3 x -6 = 18

Step 4: Rewrite the expression and perform the addition.
-100 + 18

Step 5: Calculate the final result.
-100 + 18 = -82

Your answer is -82.

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Helpppppppppppppppppppp

Helpppppppppppppppppppp

Answers

Answer:

the cyan one b is greater than or equal to -16

Step-by-step explanation:

okay so b is at least (at least being the keyword) -16, at least means that -16 is the minimum

hope this helps:)

a researcher is interested in the disappearance of spotted owls from northwestern forests. she studies 10 breeding pairs of spotted owls in cascade national park for one year. the 10 breeding pairs are the: group of answer choices selected sample snowball sample stratified sample target population

Answers

The 10 breeding pairs of spotted owls in Cascade National Park studied by the researcher represent a selected sample. So, the correct answer is A)

The 10 breeding pairs of spotted owls represent a selected sample.

A sample is a subset of a larger population that is chosen for research or study purposes. In this case, the researcher is interested in studying the disappearance of spotted owls from northwestern forests, but it would be impractical to study the entire population of spotted owls in the region.

Therefore, the researcher selected a smaller group of 10 breeding pairs in Cascade National Park as a representative sample to study over the course of one year. The selected sample may help the researcher to draw conclusions about the population of spotted owls in the region. So, the correct option is A).

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--The given question is incomplete, the complete question is given

" a researcher is interested in the disappearance of spotted owls from northwestern forests. she studies 10 breeding pairs of spotted owls in cascade national park for one year. the 10 breeding pairs are the: group of answer choices

selected sample

snowball sample  

stratified sample

target population"--

4²times 4² is ? Explain how you know and simplify please

Answers

Answer:

For me, it always helps to break down equations like this. Divide it up into two separate parts.

4^2*4^2=x

4^2=16

Replace both 4^2 with 16

16*16=256

What expression represents “2.7 less than 4”?

Answers

Answer:

4 - 2.7

Step-by-step explanation:

Since the answer we want is 2.7 less than 4, you subtract 2.7 from 4 to get it.

If it was 2.7 is less than 4, you could make an inequality: 2.7<4

The less than sign works both ways, saying that 2.7 is less than 4 and that 4 is greater than 2.7.

I hope this helps :)

translate the following into an inequality and solve: Twice a number increased by 2 is at least 10.

Answers

Translate:

Twice a number increased by 2 is at least 10.

     2 · n                               +2           ≥             10

Solve:

   2n + 2 ≥ 10

         2n ≥ 8

           n ≥ 4

As long as you pick a number that's 4 or greater, you'll satisfy that statement.

A poster is shaped like a rectangle. It is 7 feet long and 5 feet wide. What is the area of the poster?

Answers

7 x 5 = 35

35 Feet is the area.
35 feet is the area…..

Find the slope between of (-17,11) and (4,11)

Answers

Answer:

y=11

Step-by-step explanation:

The y is the same which means they're on the same line. Tell me if I'm wrong.

Pls Helppp!!!! like i really need help asap

Pls Helppp!!!! like i really need help asap

Answers

Using the probability of independent events, it is found that P(B) = 0.35, which is represented by a dot over 0.35 on the number line.

What is the probability of independent events?

Suppose that two events, A and B, are independent, hence the probability of both happening is given by the multiplication of the probabilities of each happening, that is:

\(P(A \cap B) = P(A)P(B)\)

In this problem, we have that the probabilities are:

\(P(A) = 0.4, P(A \cap B) = 0.14\)

Hence:

\(0.4P(B) = 0.14\)

\(P(B) = \frac{0.14}{0.4}\)

P(B) = 0.35.

P(B) = 0.35, which is represented by a dot over 0.35 on the number line.

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b) A rectangular room contains 600 m³ of air and its height is 5 m. (i) Find the area of its floor. (ii) Find the cost of carpeting its floor at Rs 60 per sq.m.​

Answers

a) The area of the floor can be calculated using the formula:

Volume = Length * Breadth * Height

Given, Volume = 600 m³ and Height = 5 m

Therefore, Length * Breadth = 600 m³ / 5 m = 120 m²

(i) Hence, the area of the floor is 120 m².

b) (ii) To find the cost of carpeting the floor, we need to multiply the area of the floor by the cost per square meter.

Cost = Area of the floor * Cost per sq.m. = 120 m² * Rs 60/m² = Rs 7200

Therefore, the cost of carpeting the floor at Rs 60 per sq.m is Rs 7200

(i)  Area of the floor = 120m²

(ii) Cost of carpeting the floor = Rs 7200

Given:

Amount of the air of a rectangular room (Cuboidal shaped) =Volume of rectangular room= 600m³

Height of the rectangular room = 5m

(i)   According to question we have to find area of the rectangular floor.

  We know Area of Rectangle = length × breadth

 here, length and breadth is not known to us let's find.

We Know, Volume of Cuboid = length × breadth × height

                        600m³             = length × breadth × 5m

                        600 ÷ 5            = length × breadth

                           120                = length × breadth

                length × breadth     = 120

Area of the rectangular floor = length × breadth

                                                = 120m²

(ii) Now we have to calculate the cost of carpeting rectangular room floor at Rs 60 per sq m.

Area of the rectangular floor = 120m²

Given:

Cost of carpeting the floor at Rs 60

Cost of carpeting the floor= cost × Area of floor

                                              = 60 × 120

Cost of carpeting the floor = Rs 7200

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a graphical tool used to help determine whether a process is in control or out of control is a

Answers

A graphical tool used to help determine whether a process is in control or out of control is known as a Control Chart.

Control charts are essential in quality control and statistical process control (SPC). They allow you to monitor process performance and variability over time, enabling you to identify trends, shifts, or deviations from the established process baseline.

Control charts typically consist of a centerline, representing the process mean, and upper and lower control limits, which indicate the acceptable range of variation. Data points are plotted on the chart, and if they fall within the control limits, the process is considered to be in control. If data points fall outside the control limits or display non-random patterns, the process is considered out of control, signaling potential issues that need to be investigated and addressed.

In summary, control charts are a valuable graphical tool that assists in determining the stability of a process, facilitating continuous improvement efforts and ensuring product quality. They provide a visual representation of process variation and help identify when corrective actions are needed to bring a process back into control.

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with which measurement procedure is the target behavior recorded if it occurs at any point within the scoring interval?

Answers

If the target behavior is recorded whenever it occurs at any point within the scoring interval, the measurement procedure used is called continuous recording or event recording. This method involves observing and recording each instance of the behavior without considering its duration or intensity.

Continuous recording is typically used when the target behavior is discrete and occurs relatively infrequently or has a short duration. With this measurement procedure, each occurrence of the behavior is recorded as a separate event, regardless of when it starts or ends within the scoring interval. Examples of behaviors that can be measured using continuous recording include vocalizations, hand clapping, or instances of aggression.

Continuous recording provides a comprehensive account of the frequency or rate at which the behavior occurs, allowing for a detailed analysis of its occurrence patterns. This method is particularly useful when a precise count of behavior instances is needed and when the duration or intensity of the behavior is not a focus of measurement.

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Trisha is writing a report about Guam for social studies she look up the population of Guam and found it to be about 18x10 to the fourth power what is Is the population of guam written as a whole number

Answers

The population of Guam is \(18*10^4.\)

To write this as a whole number, we need to multiply 18 by 10,000, which is the same as moving the decimal point four places to the right. So, \(18*10^4.\) is equivalent to 180,000. Therefore, the population of Guam as a whole number is 180,000.

This means that there are approximately 180,000 people living in Guam, according to the given population figure. When dealing with large numbers in scientific notation, it is important to remember that the exponent tells us how many places to move the decimal point to get the whole number equivalent.

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The top of the silo is a hemisphere with a radius of 12 ft. The bottom of the silo is a cylinder with a height of 40 ft. How many cubic feet of grain can the silo hold?
Use 3.14 for pi.


Enter your answer in the box. Round only your final answer to the nearest cubic foot.
PLEASE HELP ME AND I WILL GIVE BRAINLIEST AND TONS OF POINTS.

The top of the silo is a hemisphere with a radius of 12 ft. The bottom of the silo is a cylinder with

Answers

Answer:

21,704

Step-by-step explanation:

Find the volume of both the top of the silo (hemisphere) and the end bit of the silo (cylinder)

V = \(\frac{2}{3}\) \(\pi\)\(r^{3}\) is the formula for finding the volume of a hemisphere

V = \(\pi\)\(r^{2}\)h is the formula for finding the volume of a cylinder

Let's find the hemisphere first.

We're using 3.14 for pi, so the equation would look like this

V = \(\frac{2}{3}\) x 3.14 x \(12^{3}\)

V = \(\frac{2}{3}\) x 3.14 x 1728

V = 3617.28 \(ft^{3}\)

Now let's find the volume of the cylinder.

V = 3.14 x \(12^{2}\) x 40

V = 3.14 x 144 x 40

V = 18,086.4 \(ft^{3}\)

Last, you add both volumes together.

3617.28 + 18,086.4 = 21,703.68

Round it to make it 21,704.

The total number of cubic feet of grain or volume of the grain that the silo can hold is 28947.41 .

What is the volume of an object?

The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.

Given that the top of a silo is a hemisphere

Radius(r) = 12 ft.

Then, the volume of a hemisphere is,

V = 2/3πr³

V = 2/3 x 3.14 x 12³

V = 10851.84 feet³

And, the bottom of the silo is a cylinder with

height (h) = 40ft.

the volume of a cylinder is,

V = πr²h

V = 3.14 x 12² x 40

V = 18095.57

So, the total volume is

V = 10851.84 + 18095.57

V = 28947.41

Then, total volume = total number of cubic feet of grain

Hence, the required answer is, 28947.41 .

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resultado de la conversion
2.5 km a m​

Answers

Answer:

Step-by-step explanation:

2.5  kilometre  =   2500  Meter

Formula:

multiply the length value by 1000

(hope this helps can i plz have brainlist :D hehe)

Translated:

2.5 kilómetros = 2500 Metro

Fórmula:

multiplica el valor de la longitud por 1000

(Espero que esto ayude, ¿puedo tener una lista de ideas: D jeje?)

Which value for x is the solution to the following equation: 10 + 2x - 4 = 2x + 1 + x?
A. x = 3
B. x= 5
C. x= 6
D. x = 7

Answers

Answer:

x=5

Step-by-step explanation:

10+2x -4= 2x+1+x

6+2x=3x+1

6=x+1

5=x

You told your friend that you could eat 12 of a large pizza. If you only ate 5/6 of what you said you could eat, what fraction of a large pizza did you eat?

Answers

The original claim was based on 12 parts, the fraction of the pizza you ate is 10/12= 5/6. Therefore, you ate 5/6 of a large pizza.

If you initially claimed that you could eat 12 of a large pizza, it means that the whole pizza can be divided into 12 equal parts, and you thought you could consume all of them. However, you ended up eating only 5/6 of what you believed you could eat.

To determine the fraction of the pizza you actually consumed, we need to compare the amount you ate with the total amount of the pizza.

The amount you ate is given as 5/6 of what you claimed you could eat, which means you ate (5/6) ×12 = 60/6 = 10 parts of the pizza.

Since the original claim was based on 12 parts, the fraction of the pizza you ate is 10/12. To simplify this fraction, we can divide the numerator and denominator by their greatest common divisor, which is 2:

10/2 divided by 12/2 equals 5/6.

Therefore, you ate 5/6 of a large pizza. This means you consumed five out of six equal parts of the pizza you initially claimed you could eat.

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The function f(x) = 300 (0.70)^x -25 models the amount of aspirin left in the bloodstream after
x hours. Graph the function showing the key features of the graph. Interpret the key features of
the problem

Answers

The equation of the function is an exponential function and the key features are Domain: x ≥ 0 and Range: y ≥ 0

How to interpret the function?

The equation of the function is given as:

f(x) = 300 (0.70)^x -25

See attachment for the graph of the function f(x) = 300 (0.70)^x -25.

From the attached graph, we have the following key features and interpretation

Domain: x ≥ 0: The number of hours cannot be less than 0Range: y ≥ 0: The amount of blood cannot be less than 0

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The function f(x) = 300 (0.70)^x -25 models the amount of aspirin left in the bloodstream afterx hours.

if the sample results show that 36 of the workers belonged to unions, what is the p-value for your hypothesis test? find the value of the test statistic. (round your answer to two decimal places.)

Answers

The test statistic is z = 0.68, and the p-value is approximately 0.2486.

This problem involves testing the hypothesis that the proportion of union workers in the population has increased from 11.5%.

Let p be the true proportion of union workers in the population.

The null hypothesis is H0: p = 0.115, and the alternative hypothesis is Ha: p > 0.115 (one-tailed test, since we are testing for an increase in union membership).

To find the test statistic, we use the formula for a z-test for proportions:

z = (\(\bar p\) - p) / \(\sqrt{(p(1-p)/n) }\)

where, \(\bar p\) is the sample proportion, n is the sample size, and sqrt denotes the square root function.

In this case, \(\bar p\) = 36/300 = 0.12, n = 300, and p = 0.115.

Substituting these values into the formula, we get:

z = (0.12 - 0.115) / \(\sqrt{(0.115(1-0.115)/300) }\)≈ 0.68

To find the p-value, we need to find the probability of getting a test statistic as extreme or more extreme than 0.68, assuming that the null hypothesis is true (i.e., assuming that p = 0.115).

Since this is a one-tailed test, we need to find the area under the standard normal curve to the right of 0.68:

p-value = P(Z > 0.68) ≈ 0.2486

Using a standard normal distribution table or a calculator, we find that the area to the right of 0.68 is approximately 0.2486.

Therefore, the p-value for the test is approximately 0.2486.

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Question: You may need to use the appropriate appendix table or technology to answer this question. An agency reports that historically 11.5% of workers in a particular country belong to unions. Suppose a sample of 300 workers is collected to determine whether union efforts to organize have increased union membership.                                                                                                                                                                                                       If the sample results show that 36 of the workers belonged to unions, what is the p-value for your hypothesis test? Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = ?

The 3 stages representing the hierarchy of fluency progression including Automaticity, are embedded into which strand of the B.E.S.T. mathematics standards

Answers

The three stages that have to do with fluency, progression and automaticity are found in the Number Sense and Operations .

What is the number sense and operation strand of mathematics?

This is the part of mathematics that is known to teach the student basic ways to carry out number operations in mathematics. This has to do with representation of numbers as well as solving for the existing relationships in these numbers.

Having a sense of numbers is a very important ability skill that has to be developed early is students to enable them progress in the subject.

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(PLEASE GIVE BRAINLIST)what is 4/12 x 3? Draw a model of your choice to help solve

Answers

Answer:

1

Step-by-Step explanation:

4/12 times 3.

you cross simplify 3 and 12.

3 becomes 1 and 12 becomes 4

4/4 is one.

Or, you could have done 4 times 3 is 12 and 12 over 12 is 1.

(PLEASE GIVE BRAINLIST)what is 4/12 x 3? Draw a model of your choice to help solve

How did immigration to the United States from Europe change between 1840 and 1850?
It decreased by half.
It decreased by a third.
It more than tripled.
It increased tenfold.

Answers

Answer:

it more than tripled

Step-by-step explanation:

I'm not sure if you need more but it requires me to type more to send the answer

Answer:

It more than tripled

Step-by-step explanation:

Right on Edge 2021

In a school the the duration of primary section is 40 min and senior section is hour if the bell rings at 9 am together when will the next bell ring together

Answers

Answer:

11 a.m.

Step-by-step explanation:

Duration of Primary Period = 40 min

Duration of Senior Section =1 hour = 60 min

To find out when the next bell will ring together, we first determine the LCM of 40 and 60.

Multiples of 40 are: 40,80,120,160,...

Multiples of 60 are: 60, 120, 180, 240...

From the above, we observe that the bell will ring together exactly 120 Minutes after 9 a.m.

Therefore:

9+120 Min =9 +2 Hours =11 a.m.

Therefore, the bell of the primary section and senior section will ring together at exactly 11 am.

Espan

The lunch special at Teresa's Restaurant is a sandwich, a drink and a dessert. There are 2 sandwiches, 2 drinks, and 3 desserts to choose from. How many lunch

specials are possible?

XS ?

Answers

The quantity of lunch specials conceivable is 2 sandwiches * 2 beverages * 3 treats = 12.

The lunch exceptional at Teresa's Café incorporates a sandwich, a beverage, and a sweet. There are 2 choices for sandwiches, 2 choices for beverages, and 3 choices for treats. To decide the quantity of conceivable lunch specials, we want to track down the quantity of blends of these things. The recipe for mixes is n! /(r! * (n - r)!). Nonetheless, since every thing is chosen just a single time, we can basically duplicate the quantity of choices for every thing. For this situation, there are 2 choices for sandwiches, 2 choices for beverages, and 3 choices for pastries, so 2 * 2 * 3 = 12 potential lunch specials.

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How does the theoretical probability of the event “flip heads” change when a coin is flipped more times in an experiment?
A.) If a head is flipped, the theoretical probability will increase.
B.) If a tail is flipped, the theoretical probability will increase.
C.) If a tail is flipped, the theoretical probability will decrease.
D.) The theoretical probability will not change.

Answers

Answer:

D

Step-by-step explanation:

5x + 14 = −7
solve help me

Answers

Answer:

x = -4 1/5

Step-by-step explanation:

5x + 14 = -7

5x = -21

-21/5 = -4 1/5

Hope this is correct. Have a great day.

Answer:

\( \frac{ - 21}{5} \: or \: - 4 \frac{1}{5} \: or \: - 4.2\)

Step-by-step explanation:

\(5x+14=−7 \\ 5x=−7−14 \\ 5x=−21 \\ x = \frac{ - 21}{5} \\ x = - 4.2\)

In Mixed fraction.

\(x = - 4 \frac{1}{5} \)

Hope it is helpful....

use the fundamental theorem to evaluate the definite integral exactly. ∫10(y2 y6)dy

Answers

Using the fundamental theorem of calculus, we can evaluate the definite integral ∫[1 to 0] (y^2 + y^6) dy exactly.

To evaluate the definite integral ∫[1 to 0] (y^2 + y^6) dy, we can apply the fundamental theorem of calculus. The fundamental theorem states that if F(x) is an antiderivative of a function f(x) on an interval [a, b], then the definite integral of f(x) from a to b is equal to F(b) - F(a).

Let's find the antiderivative of the integrand (y^2 + y^6). The antiderivative of y^2 with respect to y is (1/3)y^3, and the antiderivative of y^6 is (1/7)y^7. Thus, the antiderivative of the integrand is (1/3)y^3 + (1/7)y^7.

Applying the fundamental theorem of calculus, the definite integral becomes [(1/3)(0^3) + (1/7)(0^7)] - [(1/3)(1^3) + (1/7)(1^7)]. Simplifying, we get (0 + 0) - (1/3 + 1/7) = -10/21.

Therefore, the exact value of the definite integral ∫[1 to 0] (y^2 + y^6) dy is -10/21.

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The position of an object moving vertically along a line is given by the function s(t) = - 4.97 + 28t + 19. Find the average velocity of the object over the following intervals. a. [0,4] b. [0,5] c. [ the length of time for which a business summarizes its financial information and reports its financial performance. What similarities can be found among the different types of wild goats? (Select all that apply.)They are all found above 15,000 feet in elevation.They are large herbivores.They are sources of energy for large predators.They are able to consume herbivores. four people are chosen, what is the probability that two are born in the same month When a hydrochloric acid solution is combined with a potassium hydroxide solution, an acid-base reaction occurs. write a balanced molecular equation for this reaction. Write a net ionic equation for this reaction. A box of mass m is pushed at an angle 0 by a force Fp along a frictionless surface. The box travels to right with acceleration a. What is the mass of the box? What distinguishing feature of realist literature does Mark Twain use in this excerpt from The Adventures of Huckleberry Finn?I ain' gwyne to len' no mo' money 'dout I see security. Boun' to git yo' money back a hund'd times, de preacher says Ef I could git de tencents back, I'd call it squah, en be glad er de chanst.OA dramatic dialogueOB. dialectOC an unreliable characterOD. settingOE undecipherable language what personality disorder is marked by mood swings and inability to control emotion, leading to instability in many aspects of life? Perform the following calculations in indicate whether the solution will be acidic basic or neutral why it is important for humans to understand our impact on the environment.whoever helps me get 100 point When network traffic is encrypted, it is invisible and its content and purpose are masked. a. true b. false How might a more diverseSupreme Court be important to anation? 1. robin works as a server in a small restaurant, where she can earn a tip (extra money) from each customer she serves. the histogram below shows the distribution of her 60 tip amounts for one day of work. Net Income $1,200 ($500) $2,300 Net Cash Flows $500 $300 $2,800 Dividends $200 $0 $200 Issuance of Stock $2,000 $0 $0 The above amounts represent totals from the first three years of operations. Calculate the balance of Retained Earnings at the end of 2018. Please help 15 points! a drainage pattern that forms in regions of alternating erosion-resistant and erosion-prone rocks: What is -5/8 + 3/4 ? Starting at midnight, Aarf the Dog barks for 15 seconds andthen is silent for the next 25 seconds. Aarf the Dog continuesthis bark-fest until 1:01 AM that same morning. How manytimes did Aarf the Dog bark for 15 seconds? do slope and correlation always have the same sign for every regression line?yesno The following table shows the number of visitors to Yellowstone National Park from 2000 to 2006.What was the percent of change in the number of tourists between 2000 and 2001?