If x = 5 and y = x + 1 , find (x+y)+1/2
Pls quickly , ill mark branliest

Answers

Answer 1

Answer:

23/2

Step-by-step explanation:

If x = 5,

y = 5 + 1 = 6

(5+6) + 1/2 = 11 + 1/2 = 23/2


Related Questions

If a 3.5 foot alligator has a head length of 6 inches, how long would you expect an alligator to be whose head length is 10 inches?

Answers

Answer:

35/6 ft

Step-by-step explanation:

\(\frac{3.5}{6} \cdot 10=\frac{7}{12} \cdot 10 \\ \\ =\frac{70}{12} \\ \\ =\frac{35}{6}\)

Determine the period

Determine the period

Answers

Answer:

2 units

Step-by-step explanation:

From one crest (high point) to the next crest  point is one period....

  this covers 2 units on this graph

in general, assuming > 0, what is the probability that the decoder will know with certainty what the source bit was?

Answers

The characteristics of the channel or transmission medium, and other factors related to the specific system being considered.

What is the probability that the decoder will know with certainty what the source bit was?

If we assume that the probability of error (the probability that the decoder will make a mistake) is greater than 0, then the probability that the decoder will know with certainty what the source bit was is 1 minus the probability of error.

Let's denote the probability of error as p_error. The probability that the decoder will know the source bit with certainty (probability of correct decoding) can be expressed as:

P_correct = 1 - p_error

Since we assume that p_error is greater than 0, the probability of correct decoding will be less than 1 but greater than 0.

It's important to note that this is a general concept and the specific value of p_error would depend on the decoding algorithm, the characteristics of the channel or transmission medium, and other factors related to the specific system being considered.

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HELP PLEASE!!!!!!!

1.What linear equation in slope-intercept form does this graph represent?
2.What was your thought process? Explain how you found your equation. Use complete sentences in your response.
3a. Write a real-world situation that could be modeled by this linear equation. (Your real-world example should be different from other posts.)
3b. Explain how you labeled the X axis and Y axis based on the situation you wrote in 3a.

HELP PLEASE!!!!!!!1.What linear equation in slope-intercept form does this graph represent? 2.What was

Answers

The straight line graph, passing through points (0, 100) and (20, 400), can be described as follows;

1. y = 15•x + 100

2. The slope is first calculated, then the equation is expressed in the point and slope form

3a. A real world situation that can be modelled by the equation is the total cost of joining a gym.

3b. The x-axis represent the number of months of membership, while the y-axis represents the total cost of membership

Which method can be used to find the model linear equation?

1. Points on the graph are; (0, 100) and (20, 400)

The slope, m, is therefore;

m = (400 - 100)/(20 - 0) = 15

The equation in slope and intercept form is therefore;

y - 100 = 15•(x - 0) = 15•x

y = 15•x + 100

2. The equation of the graph is found based on obtaining two points on the graph, from which the slope can be calculated.

The slope and intercept form is obtained from the point and slope form by making y the subject

3a. A real world example is fitness service that has a joining fee of $100 and a monthly payment of $15

3b. The labels for the x and y axis based on the above situation are;

The x-axis represents the number of months of joining the fitness service

The y-axis represents the total amount paid

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Why couldn't Abbie and Ben buy locally-grown corn in May or June in Rhode Island?

Answers

Abbie and Ben would not be able to buy locally-grown corn in Rhode Island until late October.

What is amount?

Amount is an indefinite quantity of something, typically money, that is to be paid or received. It is often used in the context of a purchase, loan, or other financial transaction. Amounts can be expressed as a numerical value, such as a dollar amount, or as a percentage of the total transaction. In accounting, the term "amount" is used to refer to the total amount of money that is owed or received.

Abbie and Ben could not buy locally-grown corn in May or June in Rhode Island because the growing season for corn in Rhode Island runs from late June through late October. This is the typical growing season for corn in the Northeastern United States and is largely dependent on the region's climate. Corn is a warm-season crop, meaning it requires temperatures of at least 50 degrees Fahrenheit for germination and growth. In early spring, most of Rhode Island is still too cold for corn to be planted. This means that the earliest corn grown in Rhode Island is planted in late June, and it is not harvested until late October. Thus, Abbie and Ben would not be able to buy locally-grown corn in Rhode Island until late October.

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Please help I suck at math :)

Please help I suck at math :)

Answers

x=7 is the answer because 3 times 7 = 21 and 21 + 9 = 30

Please explain. I think it’s two step equations

Answers

Answer:  I don’t see anything

Step-by-step explanation:

10. I surveyed my class to find out whether students rode a bike on campus or not. Then I made a Venn diagram with one circle (inside a rectangle) to summarize the results. d. Based only on the Venn diagram (not on any other knowledge you have), answer the question that follows each proposition. 45. All kings are men. Can you conclude that some men are not kings?

Answers

The answer is that some men are not kings.

The Venn diagram does not show any direct relationship between kings and men, which means that the two circles do not overlap.

It is safe to conclude that all kings are men; however, there might be some men who are not kings.

So, the proposition "All kings are men" is true, but it does not imply that "Some men are not kings" is false.

Let's take an example to understand this better.

Let A be the set of all kings and B be the set of all men.

All the kings will belong to set A, but some men will not be kings, and thus they will not belong to set A, but they will belong to set B.

Therefore, we can conclude that some men are not kings.

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Complete question is not provided; Venn Diagram is missing but you can have an idea from above answer.

PLS HELP i just need the answer :,(((((

what is the equation of the quadratic graph with a focus of (5, −1) and a directrix of y = 1?

Answers

Answer:

check the picture below.

so the focus point is at 5, -1 and the directrix is above it, meaning is a vertical parabola, and is opening downwards, like in the picture.

keep in mind that the vertex is half-way between those two fellows, at a "p" distance from either, in this case 1 unit, since the parabola is opening downwards, "p" is negative then, or -1, and the vertex will be from 5, -1 up one unit, so 5,0.

PLS HELP i just need the answer :,(((((what is the equation of the quadratic graph with a focus of (5,
PLS HELP i just need the answer :,(((((what is the equation of the quadratic graph with a focus of (5,

Which angle is supplementary to 6

Which angle is supplementary to 6

Answers

Answer: Angle 3

Step-by-step explanation:

Which angle is supplementary to 6

The expression 15, 000(1+0.02) can be used to model the sales, in dollars, of a company after m months.
The value 12 was substituted for m to create the expression 15,000(1+0.02)¹2.
Enter a number and select a unit to complete the sentence.
The expression (1+0.02)¹2 represents the growth factor of the company's sales for a period of time lasting

The expression 15, 000(1+0.02) can be used to model the sales, in dollars, of a company after m months.The

Answers

The expression (1 + 0.02)¹², represents the growth factor of the company’s sales for a period of time lasting for 12 months.

What is an expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, the expression 15,000(1+0.02\()^m\) can be used to model the sales, in dollars, of a company after m months.

The value 12 was substituted for m to create the expression 15,000(1+0.02)¹².

We need to identify, what does 12 represent,

Here, the 12 is representing the time period, of the company's sale.

Hence, the expression (1 + 0.02)¹², represents the growth factor of the company’s sales for a period of time lasting for 12 months.

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The dimensions of this polygon are shown in feet (ft).
10ft/3ft/4ft/8ft
What is the area, in square feet, of the polygon?

Answers

The required area of the polygons is given as 100 ft², 9 ft², 16 ft², and 64 ft².

Given that,
The dimensions of this polygon are shown in feet (ft). 10ft/3ft/4 ft/8 ft. The area, in square feet, of the polygon is to be determined.

What is a polygon?

A polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,

Examples of polygons, equilateral triangles, squares, pentagons etc

Here,
Assumed that all the polygons are square,
The area of the square is given as (side)².
1,
Side = 10 ft
Area of the square = [10 ft]² = 100 ft²

Similarly,
For side 3 areas is 9 ft²,

For side 4 areas is 16 ft²,

For side 8 areas is 64 ft²,

Thus, the required area of the polygons is given as 100 ft², 9 ft², 16 ft², and 64 ft².

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Mike made a 9-inch sub sandwich. He needs to cut it into 2/3 inch pieces. How many pieces will he be able to cut?​

Answers

9 divided by 2/3

9 x 3/2 = 27/2

27/2 as a mixed number is 13 1/2

So he will be able to cut 13 full pieces

Solve the following by False Position Method Question 3 X³ + 2x² + x-1

Answers

The approximate solution to the equation x³ + 2x² + x - 1 = 0 using the False Position Method is x ≈ -0.710.

The False Position Method, also known as the Regula Falsi method, is an iterative numerical technique used to find the approximate root of an equation. It is based on the idea of linear interpolation between two points on the curve.

To start, we need to choose an interval [a, b] such that f(a) and f(b) have opposite signs. In this case, let's take [0, 1] as our initial interval. Evaluating the equation at the endpoints, we have f(0) = -1 and f(1) = 3, which indicates a sign change.

The False Position formula calculates the x-coordinate of the next point on the curve by using the line segment connecting the endpoints (a, f(a)) and (b, f(b)). The x-coordinate of this point is given by:

x = (a * f(b) - b * f(a)) / (f(b) - f(a))

Applying this formula, we find x ≈ -0.710.

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X-4\7=-10 what is equal to x

Answers

Answer:

x = -66

Step-by-step explanation:

x-4 = -10 * 7

x - 4 = -70

x = -70 + 4

x = -66

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find the missing side length of a square given the area of the square

find the missing side length of a square given the area of the square

Answers

The area of a square is given by the following formula:

\(A=s^2\)

To find the sidelength of the square, solve the equation for s:

\(s=\sqrt[]{A}\)

Replace the given value in the equation to find the sidelength:

\(\begin{gathered} s=\sqrt[]{\frac{16}{49}} \\ s=\frac{4}{7} \end{gathered}\)

The sidelength is 4/7cm.

24 oz of soda cost 1.29 at that rate how much would you expect 30 oz. of soda to cost?

Answers

Answer:

about $1.60 i think

Step-by-step explanation:

find the euler equation that represents the relationship between current-period consumption and future-period consumption in the optimum.

Answers

The Euler equation represents the relationship between current-period consumption and future-period consumption in the optimum. It is derived from intertemporal optimization in economics.

In the context of consumption, the Euler equation can be expressed as:

u'(Ct) = β * u'(Ct+1)

where:

- u'(Ct) represents the marginal utility of consumption in the current period,

- Ct represents current-period consumption,

- β is the discount factor representing the individual's time preference,

- u'(Ct+1) represents the marginal utility of consumption in the future period.

This equation states that the marginal utility of consumption in the current period is equal to the discounted marginal utility of consumption in the future period. It implies that individuals make consumption decisions by considering the trade-off between present and future utility.

Note: The Euler equation assumes a constant discount factor and a utility function that is differentiable and strictly concave.

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Please explain in detail the utilization of Thematic Analysis in
a Qualitative Descriptive Study Design.

Answers

Thematic Analysis is a process that is used to analyze the text in research in qualitative research. It aims to find the patterns in the data by examining the contents of the text.

In the Qualitative Descriptive Study Design, thematic analysis is utilized to analyze the data obtained from interviews, observation, or other qualitative methods. This method involves the identification of themes and patterns in the data. It helps the researcher to organize the data, identify patterns, and develop the categories and themes that will be used to describe the findings of the study.

Thematic Analysis is used in Qualitative Descriptive Study Design to provide an in-depth understanding of the research topic. It allows the researcher to capture and analyze the rich and diverse experiences of the participants in the study. In this method, data is collected from the participants, and the researcher analyzes the data by identifying the common themes and patterns that emerge from the data. This process of analysis is done in a systematic and iterative manner until the researcher identifies all the themes that are relevant to the research question.

Thematic analysis is useful in qualitative research because it allows the researcher to identify the themes and patterns in the data that are not explicitly stated by the participants. It helps to identify the underlying meanings of the data and to develop a deeper understanding of the research topic. This method is particularly useful when the researcher is dealing with large volumes of data and wants to identify the key themes and patterns that emerge from the data.

In conclusion, Thematic Analysis is a useful method of analysis in Qualitative Descriptive Study Design. It is used to analyze the data obtained from interviews, observation, or other qualitative methods. This method involves the identification of themes and patterns in the data and helps the researcher to organize the data, identify patterns, and develop the categories and themes that will be used to describe the findings of the study.

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The ratio of the weight of max to that of his friend artur is 5:9. artur goes on a diet and lose 4kg and now the ratio of their weights is 5:7. how much does artur weigh now?

Answers

After losing 4 Kg ,the weight of Artur is 14 Kg .

In the question ,

it is given that ,

the ratio of weight of Max : Artur is 5 : 9 .

So the weights of Max and Artur before dieting is 5x and 9x .

Now Artur goes on dieting and lose 4 Kg weight and

the ratio of weight of Max and Artur becomes 5:7  .

and the weights of Max and Artur after dieting is  5x and 7x .

Present weight of Artur = 7x .

As we can see that the change in Artur weight is 9x - 7x = 2x

According to the question

2x = 4

x = 2

hence Artur now weighs 7*(2) = 14 Kg

Therefore , after losing, 4 Kg the weight of Artur is 14 Kg .

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What is a rate in math.

Answers

Answer:

a ratio between two different units

for example 60miles per 5 hours

Step-by-step explanation:

let me know if you need unit rate yoo :)

Solve each compound inequality. Graph your solution.
5 < k − 2 < 11

Answers

5 < k - 2 < 11

5 < k - 2
+2 on both sides
7 < k

k - 2 < 11
+2 on both sides
k < 13

7 < k < 13
Solve each compound inequality. Graph your solution.5 &lt; k 2 &lt; 11

every five years in march, the populations of a certain town is recorded. In 1995, the town had a populations of 4,500 people. From 1995 to 2000, the population increased by 15%. From 2000 to 2005, the population decreased by 4%. What was the town's population in 2005.

Answers

Answer:

population= 4968

Step-by-step explanation:

15/100= 0.15

1+0.15= 1.15

1.15 x 4500= 5175

4/100= 0.04

1-0.04= 0.96

0.96 x 5175= 4968

11. Solve for c

a+c
/ = d
b

please help!!!!!​

Answers

Answer:

34

Step-by-step explanation:

1+33=34

Answer:

a=-(c/b)/d

Step-by-step explanation:

a+c/b=d

d-a=c/b

-a=(c/b)/d

a=-(c/b)/d

ali and jake went on a cross country trip they took a train part of the way and a bus the rest of the way they traveled a total of 1050 kilometers riding on the train 200 more kilometers than in the bus how many kilo meters did they travel by

Answers

Answer:

1900 km

Step-by-step explanation:

train = 1050km

bus = 200 less than train or 1050-200 = 850

1050+850=1900

Answer:

625, just got it right

Step-by-step explanation:

What is the area of this figure?


Enter your answer in the box.

___ units²

What is the area of this figure?Enter your answer in the box.___ units

Answers

Step-by-step explanation:

we can split the figure into 2 trapezium

\(area \: of \: trapeium = ( \frac{a + b}{2} )(h) \)

area of 1st trapezium

= (7+3/2)(4)

= (5)(4)

= 20 units^2

area of 2nd trapezium

= (3+5/2)(2)

= (4)(2)

= 8 units^2

total area of trapezium

= 20+8

= 28 units^2

The area of the figure is a sum of two trapezoids as A = 28 units²

Given data ,

Let the area of the figure be represented as A

Now , the area of the first trapezoid be represented as T₁

The area of the first trapezoid be represented as T₂

The area of the Trapezoid is given by

Area of Trapezoid = ( ( a + b ) h ) / 2

where , a = shorter base of trapezium

b = longer base of trapezium

h = height of trapezium

So, T₁ = [ ( 7 + 3 )/2 ] x 4

T₁ = 10 x 2

T₁ = 20 units²

And , T₂ = [ ( 3 + 5 )/2 ] x 2

T₂ = 4 x 2

T₂ = 8 units²

where A = 20 + 8 = 28 units²

Hence , the area of the figure is A = 28 units²

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Which inequality is represented by this graph?

Which inequality is represented by this graph?

Answers

The linear equality for the given graph is x > 0.

Option (B) is correct.

What is linear equality?

In mathematics, a linear inequality is an inequality that involves a linear function. A linear inequality contains one of the symbols of inequality. It shows the data which is not equal in graph form.

The hollow circle in the linear equality shows that the point should be excluded and the line is going towards the positive x-axis.

So we can prepare the linear equality as

                       x > 0

Hence, the linear equality for the given graph is x > 0.

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Determine if the expression for r(u, v) with domain D defines a smooth parametrized surface. Explain your answer. (Your instructors prefer angle bracket notation < > for vectors.) r(u, v) = (cos(u), sin(v), 1), D = {(u, v) | 0 Sus 41,0 S V S 41} r(u, v) with domain D ---Select--- v define a smooth parametrized surface. To be a smooth parametrized surface (", xru(u, v) # O for all (u, v) in the interior of the domain. In this case (?, *Tv , therefore there ---Select--- v (u, v) where (FoxPv)(u, v) = 7.

Answers

The Vector r(u, v) with the domain D does not define a smooth parametrized surface.

Vector: Vectors are quantities that can be identified by magnitude and direction. Examples are velocity and acceleration.

Given that:

Vector r(u, v) = (cos(u), sin(v), 1), D = {(u, v)

Vector \(r_{u}\) = (-sinU, 0,0)

Vector \(r_{V}\) = (0, cosv,0)

Vector \(r_{u}\) x Vector \(r_{V}\) =

\(\left[\begin{array}{ccc}i&j&k\\-sinU&0&0\\0&cosv&0\end{array}\right]\)

Solving the vector multiplication. We get,

Vector \(r_{u}\) x Vector \(r_{V}\) = 0 x i - j x 0 + (cosv x - sinU)

Vector \(r_{u}\) x Vector \(r_{V}\) = 0 - sinUcosv

Vector \(r_{u}\) x Vector \(r_{V}\) =  - sinUcosv

Vector \(r_{u}\) x Vector \(r_{V}\) = (0, 0,- sinUcosv)

The Vector r(u, v) with the domain D does not define a smooth parametrized surface.

Vector \(r_{u}\) x Vector \(r_{V}\) = (0, 0,- sinUcosv) therefore has some value.

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A daycare charges a base fee of 3 dollars plus 0.50 dollars per minute for late (after closing time) pick-ups. Albin had to pay 10.50 dollars for a late pick-up. Albin uses the equation, 10.50 = 0.50 a + 3 to represent the situation. What does the variable a represent in the equation?

Answers

Answer:

The time in minutes for late pick ups

Step-by-step explanation:

Given the expression for the situation

\(10.50 = 0.50 a + 3\)

The variable "a" represents the time in minutes for late pick ups.

The expression is similar to the equation of a straight line

\(y=mx+c\)    

when compared to the given expression

we can state that

y= 10.5 which is the outcome of the situation

m= gradient which is 0.5

a= independent variable which is the time in minutes

c= 3 which is the constant term

Answer:

a or number of minutes of pickups

Step-by-step explanation:

khan

Diego measured the length of a pen to be 22 cm.

The actual length of the pen is 23 cm.

What is the percent error for Diego’s measurement?

Explain or show your reasoning.

Answers

The answer is going to be 4.5%

Based on this question, we know that Diego measured the length of a pen which were to be 22cm so that we would get the actual length of the pen that is 23cm.

So what we need to do is do the percentage//which is decreasing

(22-22)/22x100

=1/22x100

=4.5%, therefore the percent error for Diego’s measurement is 4.5% because what we did was find the percentage decrease by multiplying 100 by 22 minus 22 over 22.

Answer:

let's talk here as to get rid of him

Other Questions
Calculate the mass percent composition of carboninC3H4 Read this passage from The Raven. What is the chronological order of the events?Once upon a midnight dreary, while I pondered, weak and weary, Over many a quaint and curious volume of forgotten lore While I nodded, nearly napping, suddenly there came a tapping, As of some one gently rapping, rapping at my chamber door. Tis some visitor, I muttered, tapping at my chamber door Only this and nothing more. Ah, distinctly I remember it was in the bleak December; And each separate dying ember wrought its ghost upon the floor. Eagerly I wished the morrow;vainly I had sought to borrow From my books surcease of sorrowsorrow for the lost Lenore For the rare and radiant maiden whom the angels name Lenore Nameless here for evermore. A. The speaker tells us about the visit of a raven, the speaker hears a tapping, the speaker reads on a December night, Lenore dies B. Lenore dies, the speaker tells us about the visit of a raven, the speaker hears a tapping, the speaker reads on a December night C. The speaker reads on a December night, the speaker tells us about the visit of a raven, Lenore dies, the speaker hears a tapping D. Lenore dies, the speaker reads on a December night, the speaker hears a tapping, the speaker tells us about the visit of a raven Part A"A Performance to Remember" explains that Surya Bonaly faced criticism in her career.Which evidence from the text best supports this?Responses"To set herself apart, Bonaly chose to wear bold and bright costumes instead of the pastel colors favored by other female skaters.""To set herself apart, Bonaly chose to wear bold and bright costumes instead of the pastel colors favored by other female skaters.""But she entered the games during a period when her skating performances that year were weaker than usual, due to an ongoing heel injury.""But she entered the games during a period when her skating performances that year were weaker than usual, due to an ongoing heel injury.""Even at that young age, she was getting a late start in a sport that many skaters begin as early as age four.""Even at that young age, she was getting a late start in a sport that many skaters begin as early as age four.""It was also suggested by some that because she was black and did not fit the typical womens ice skater model, Bonaly was judged more harshly than the other competitors.""It was also suggested by some that because she was black and did not fit the typical womens ice skater model, Bonaly was judged more harshly than the other competitors."Question 2Part BWhich additional evidence from the text best supports the answer to Part A?Responses"It happened many years in a row.""It happened many years in a row.""Some say that she behaved poorly.""Some say that she behaved poorly.""But I think at this point it was more an act of saying, 'OK, this is too much.'""But I think at this point it was more an act of saying, 'OK, this is too much.'""The extent of Bonalys injury was reflected in her low scores." Read this excerpt from a play.(The scene opens on a park in summer time. Picnic blankets adorn the grass, and children are happily eating slices of watermelon as adults watch nonchalantly. Two adults sit on a bench with their eyes closed and their faces tilted upward.)RINA: Did you pack the kids kites?NATHAN: Yeah, theyre in the trunk, but Im not sure I have the energy.RINA: I know. It is so pleasant just relaxing. (She removes her shoes, stretches her legs, and closes her eyes again.)NATHAN: Im thinking I might grab a slice of watermelon. (He climbs down onto the blanket with the kids and makes himself comfortable.)(The sound of the park fountain can be heard as the family relaxes. Then the sky darkens, and a loud splattering of rain begins to fall.)NATHAN: (Startled) Where did this come from?RINA: (Hopping to her feet) Lets pack up! Kids, grab your toys.Which setting detail advances the action of the scene?Picnic blankets adorn the grass, and children are happily eating slices of watermelon as adults watch nonchalantly.Two adults sit on a bench with their eyes closed and their faces tilted upward.He climbs down onto the blanket with the kids and makes himself comfortable.Then the sky darkens, and a loud splattering of rain begins to fall. Describe the difference between a limiting factor and ecosystem carrying capacity Most countries are expected to undergo a demographic transition at some point. Which of the following offers the best description of a typical demographic transition? High birth and death rates drop together. People have fever babies and live longer, but the population size doesn't change. High birth rate declines before high death rate declines. The population size drops rapidly and levels off when death rate once again equals birth rate. High death rate declines before high birth rate declines. The population size increases rapidly and levels off when birth rate once again equals death rate. Low birth and death rates increase dramatically, together or sequentially. The population size changes unpredictably for a while, eventually stabilizing. A frequency distribution for a categorical variable groups the data into categories and records the number of observations that fall into each category. In a survey, we asked 1000 respondents which car they would purchase if they had a choice between an Audi, a Mazda, a Toyota, or a Subaru. Of the 1000 respondents, 116 chose the Audi. What is the relative frequency of Audi respondents? What were the major centers of the initial domestication of plants and animals? 6. A jet plane is cruising at 340 m/s when suddenly the pilot turns the engines up to full throttle. After traveling 3.4 km, the jet is moving with a speed of 400 m/s. What is the jet's acceleration, gender equity due to port on los Angeles find the segmentplz solve Given the AHvap is 31.6 kJ/mol, how much energy, in kJ, is required to vaporize 43.4 g of dichloromethane (CHCl2, MM 84.93 g/mol) at its boiling point? Report your answer in kJ with THREE signifcan A line passes through the point (1, - 6) and has a slope of 8. Write an equation in slope-intercept form for this line. At age 35, Beth earns her MBA and accepts a position as vice president of an asphalt company. Assume that she will retire at the age of 60, having received an annual salary of $90000, and that the interest rate is 7%, compounded continuously. Round answers to the nearest dollar. What is the accumulated present value of her position? $ What is the accumulated future value of her position? $ Chinese urbanization, as stunning as it is now, is still a work in progress. What are some of the reasons why up to 100 million more people may move into cities in the coming decade? Include Hukou in your discussion. How did Axum become a powerful city? a person quits her job to start her own company. which factor represents the opportunity cost of this decision is? In the following statements please say whether each of them is True, False or Uncertain and provide an explanation for your answer.a) In perfect competition, firms are in long run equilibrium when price equals short run average cost.b) A firm in a perfectly competitive industry shuts down whenever its profits are negative c) In order to maximize profit, a competitive firm wants to maximize the difference between price and marginal cost. d) If a firm in a competitive industry discovers a cheaper way to produce output, it might lower its price in order to steal its competitors customers. Use the accompanying Venn diagram, which shows the number of elements in region II to answer the following problem. If \( n(A)=38, n(B)=41 \), and \( n(U)=70 \), find the number of elements in each of The preferred conformation or Cis -3-tert - buty1-1- methyl cyclohexane is the one in which: _________.A) the tert-butyl group is axial and the methyl group is equatorial. B) the methyl group is axial and the tert-butyl group is equatorial. C) both groups are axial. D) both groups are equatorial. E) the molecule exists in a boat conformation.