Help with these two questions, 100 points!!

Help With These Two Questions, 100 Points!!

Answers

Answer 1

Answer:

15. x = 4

16. x = 7

Step-by-step explanation:

15.

CD/ ED = DG / DF

48 / (5x - 2) = 40 / (2x + 7)

48 (2x + 7) = 40 (5x - 2)

96x + 336 = 200x - 80

200x - 96x = 336 + 80

104x = 416

x = 4

16.

ST / PL = TU / LM

(x + 1) / 72 = (2x - 3) / 99

99 (x + 1) = 72 (2x - 3)

99x + 99 = 144x - 216

144x - 99x = 99 + 216

45x = 315

x = 7

Answer 2

Answer:

15.  x = 4

16.  x = 7

Step-by-step explanation:

Similar Triangles

In similar triangles, corresponding sides are always in the same ratio.

Question 15

If ΔCDG ~ ΔEDF then:

CD : ED = DG : DF = CG : EF

From inspection of the given diagram:

CD = 48ED = 5x - 2DG = 40DF = 2x + 7

Therefore:

[tex]\implies \sf CD : ED = DG : DF[/tex]

[tex]\implies 48 : (5x-2) = 40 : (2x+7)[/tex]

[tex]\implies \dfrac{48}{(5x-2)} = \dfrac{40}{(2x+7)}[/tex]

[tex]\implies 48(2x+7)=40(5x-2)[/tex]

[tex]\implies 96x+336=200x-80[/tex]

[tex]\implies 416=104x[/tex]

[tex]\implies x=\dfrac{416}{104}[/tex]

[tex]\implies x=4[/tex]

Question 16

If ΔSTU ~ ΔPLM then:

ST : PL = TU : LM = SU : PM

From inspection of the given diagram:

ST = x + 1PL = 72TU = 2x - 3LM = 99PM = 70

Therefore:

[tex]\implies \sf ST : PL = TU : LM[/tex]

[tex]\implies (x+1) : 72 = (2x-3) : 99[/tex]

[tex]\implies \dfrac{(x+1)}{72}= \dfrac{(2x-3)}{99}[/tex]

[tex]\implies 99(x+1)=72(2x-3)[/tex]

[tex]\implies 99x+99=144x-216[/tex]

[tex]\implies 315=45x[/tex]

[tex]\implies x=\dfrac{315}{45}[/tex]

[tex]\implies x=7[/tex]


Related Questions

Aline'sslopeis5,andits
y -intercept
is
3. What
isitsequationin
slope -intercept
form?

Answers

The equation of the line in slope-intercept form is: y = 5x + 3.

What is the Equation of a Line in Slope-intercept Form?

If the value of the slope of a line, m, is known, and the value of its y-intercept, b, is known, the equation of the line in slope-intercept form would be written as:

y = mx + b.

Given the following:

Slope (m) of the line (m) = 5Y-intercept of the line (b) = 3

To write the equation of the line in slope-intercept form, substitute m = 5 and b = 3:

y = 5x + 3

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Question:

A line's slope is 5, and its y -intercept is 3. What is its equation in slope-intercept form?

you guess that lebron james would score 35 points during the game. he actually scored 28. find your percent error.

Answers

The error Percentage is 20%

What is Percentage?

A percentage is a component of a whole stated as a number between 0 and 100 rather than as a fraction. All of anything is 100 percent, half of it is fifty percent, none of something is zero percent. To determine a percentage, you divide the fraction of the entire by the whole itself and multiply by 100.

Solution:

We gussed that LeBron James would score 35 points, but he only scored 28 points

So, the difference was of 7 points (35-28)

Error Percentage = 7/35 * 100

Error Percentage = 1/5 *100

Error Percentage = 20%

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Your parents limit your
phone use to 18 hours every week. You need
to split that between hours spent on the phone
with your friends and hours spent using the
internet. Your parents count one hour on line
as 1/2 hour of phone time since some of your
time is spent doing homework. An algebraic
model is x + 1/2y
18 where x is hours spent
on the phone and y is the hours spent on line.
2
=

Answers

Step-by-step explanation:

x + 1/2y = 18

2x + y = 36

x = 36 - y

18 = 36 - y + 1/2y

18 = 36 - 1/2y

36 - 18 = 1/2y

18 = 1/2y

y = 36

x = 18 - 1/2(36)

x = 18 - 18

x = 0

Therefore, you can spend 0 hours on the phone and 36 hours on the internet.

o build a robust distributed system, you must know what kinds of failures can occur. a. list three possible types of failure in a distributed system. b. specify which of the entries in your list also are applicable to a centralized system

Answers

Three common failures in a distributed system include

network link failure host failurestorage medium failure

Host failure and storage medium failure are failures that could also occur in a centralized system, whereas a network link failure can occur only in a networked-distributed system.

CENTRALIZED SYSTEMS

Centralized systems are systems that use client/server architecture where one or more client nodes are directly connected to a central server. This is the most commonly used type of system in many organizations where a client sends a request to a company server and receives the response.

DECENTRALIZED SYSTEMS

These are other types of systems that have been gaining a lot of popularity, primarily because of the massive hype of Bitcoin.

In decentralized systems, every node makes its own decision. The final behavior of the system is the aggregate of the decisions of the individual nodes.

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jason did a distance spatial join to find city-to-airport distances in illinois, and found that the distance values were all less than 3.0. what are the units?

Answers

Illinois city-to-airport distances can be discovered using a distance spatial join. The utilized unit is while linear measurements utilize meters or feet, angular units for measurement use degrees.

Explain the term GIS?

A system called a geographic information system (GIS) is one that collects, organizes, processes, and maps all kinds of data.

GIS connects data to a map and combines all kinds of descriptive data with location data (where objects are) .  This offers a basis for mapping and analysis, which are applied in science and practically every sector of the economy. GIS aids users in comprehending trends, connections, and geographic context. The advantages include better management and decision-making, as well as enhanced communication and efficiency. GIS is being used by hundreds of thousands more organizations worldwide to create maps that facilitate communication, analysis, information sharing, and the resolution of challenging issues.

Illinois city-to-airport distances can be discovered using a distance spatial join.

Thus, the utilized unit is while linear measurements utilize meters or feet, angular units for measurement use degrees.

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given are five observations collected in a regression study on two variables. xi 2 6 9 13 20 yi 7 18 9 26 23 which of the following scatter diagrams accurately represents the data?

Answers

the regression equation:

y = 0.9x+ 7.5

given that:

Xi: 2; 6; 9; 13; 20

Yi: 7; 18; 9; 26; 23

from the given data we have:

∑x = 2+6+9+13+20 = 50

∑y = 7+18+9+26+23 = 83

Also, we need to calculate:

∑XY = 2 × 7+ 6 × 18+ 9× 9+ 13 × 26+ 20×23 = 1001

∑[tex]x^{2}[/tex] = [tex]2^{2}[/tex] +  [tex]6^{2}[/tex]+[tex]9^{2}[/tex]  +  [tex]13^{2}[/tex]+ [tex]20^{2}[/tex] = 690

∑[tex]y^{2}[/tex]=  [tex]7^{2}[/tex]+ [tex]18^{2}[/tex]  + [tex]9^{2}[/tex] + [tex]26^{2}[/tex] +[tex]23^{2}[/tex]  = 1659

the slope b is calculated:

b = ∑XY - ∑x × ∑y/n ÷ ∑ - (∑x)^2 /n

now we need to substitute the above values in the equation:

b = 1001 - 50×83 /5 ÷ 690 - (50)^2/5

b= 0.9

the y-intercept (a) is :

a = y - bx

where

y = ∑y/n = 83/5 = 16.6

x = ∑x/n = 50/5 = 10

now substitute these values

a = 16.5 - 0.9 × 10

a = 7.5

the regression equation:

y = bx + a

now ,

y = 0.9x+ 7.5

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in linear​ programming, a solution that does not simultaneously satisfy all constraints is called an part 2 a. intermediate solution. b. impossible solution. c. infeasible solution. d. illogical solution.

Answers

A solution that does not simultaneously satisfy all constraints is called an infeasible solution.

Option (C) is correct.

What is linear programming?

Linear programming, also known as linear optimization, is a method for achieving the best result in a mathematical model with requirements represented by linear relationships. Linear programming is a special case of mathematical programming.

In linear programming, a solution that does not simultaneously satisfy all constraints is called an infeasible solution.

In some cases, there is no feasible solution area, i.e., there are no points that satisfy all constraints of the problem. An infeasible LP problem with two decision variables can be identified through its graph. For example, let us consider the following linear programming problem.

Minimize z = 200x1 + 300x2

subject to

2x1 + 3x2 ≥ 1200

x1 + x2 ≤ 400

2x1 + 1.5x2 ≥ 900

x1, x2 ≥ 0

The region located on the right of PQR includes all solutions, which satisfy the first and the third constraints. The region located on the left of ST includes all solutions, which satisfy the second constraint. Thus, the problem is infeasible because there is no set of points that satisfies all three constraints.

Hence, a solution that does not simultaneously satisfy all constraints is called an infeasible solution.

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an online gardening magazine wants to understand why its subscriber numbers have been increasing. what kind of reports can a data analyst provide to help answer that questio

Answers

The analyst should provide a report addressing the following

Analyzing customer buying behaviorsAnalyzing consumer preferences using artificial intelligenceAnalyzing the number of customers by calculating daily foot trafficAnalyzing social media engagement

A sale’s affect on subscription purchases is an example of customer buying behavior analysis.

Data analysis is the process of modifying, processing, and cleaning raw data in order to obtain useful, pertinent information that supports commercial decision-making. The process offers helpful insights and statistics, frequently presented in charts, graphics, tables, and graphs, which lessen the risks associated with decision-making.

Every time we make a decision in our daily lives, we can see a basic example of data analysis by assessing what has happened in the past or what will happen if we take that action. In its simplest form, this process involves looking at the past or future and making a choice based on that analysis.

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The ratio of h minus 4 to 3 is 5.

Answers

Answer:

19

Step-by-step explanation:

therefore the answer is 19

x varies directly with Y, when X equals 30, Y equals 20 find Y when X is 3

Answers

Answer:

f X varies directly with Y, then the relationship between them can be expressed as Y = kX, where k is a constant. Therefore, we can calculate the value of Y when X is 3 by substituting the values into the equation: Y = (20/30) * 3 = 2

Step-by-step explanation:

Cameron runs 2000 meters in 8 minutes. How many meters can Cameron run in one minute?

Answers

Answer: 250 meters

Step-by-step explanation: Find the unit rate. 2000 divided by 8 will get you a unit rate of 250 meters per minute.

consider a population that grows according to the recursive rule p n = p n − 1 + 80 p n = p n - 1 + 80 , with initial population p 0 = 60 p 0 = 60 .

Answers

The population grows according to the recursive rule is-

Pn = 60 + n×80P100 = 8060Explain the term recursive rule?A recursive rule provides the first term and terms of the a sequence and uses a recursive equation to show how each term relates to the term(s) before it. Sequences in mathematics and geometry, for instance, can be represented recursively.

For the stated question-

initial population p0 = 60recursive rule pn = p(n − 1) + 80

Then,

P1 = P0 + 80

P1 = 60 + 80 = 140

P2 = P1 + 80

P2 = 140 + 80 = 220

Thus, an explicit formula for the population

Pn = P0 + n×80 = 60 + n×80

P100 = 60 + 100×80 = 8060

Thus, explicit formula for the  population growth is

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The complete question is-

Consider a population that grows according to the recursive rule pn = p

(n − 1) + 80 , with initial population p0 = 60

Find an explicit formula for the population. Your formula should involve  n  (use lowercase n)

Pn=    

Use your explicit formula to find

P100  =

please help!
What is/are the vertical asymptote(s) of the function?
y=3x+6x2+2x-35

Answers

Answer:

I don't think there would be any asymptotes because there are no denominators.

Step-by-step explanation:

The manager of a store buys weather radios in lots of 48. Suppose that, on the average, 4 out of each group of 48 are defective. The manager randomly selects 4 radios out of the group to test. (Round your answers to 4 decimal places.) (a) What is the probability that he will find 2 defective radios? (b) What is the probability that he will find no defective radios?

Answers

(a) The probability that two radios are being defective= 0.035

(b) The probability that all radios are not defective = (11/12)^4

Probability:

Possibility is referred to as probability. This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Probability has been applied into mathematics to predict the likelihood of different events. Probability generally refers to the degree to which something is likely to occur. This fundamental theory of probability, which also applies to the probability distribution, can help you comprehend the possible outcomes for a random experiment. Gonna determine how likely something is to occur, use probability. Many things are hard to predict with 100% certainty. We can only anticipate the possibility of an event occurring using it, or how likely it is.

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the numbers 1447, 1005, and 1231 have something in common: each is a 4-digit number beginning with 1 that has exactly two identical digits. how many such numbers are there?

Answers

If each is a 4-digit number beginning with 1 that has exactly two identical digits , then there are 432 such numbers .

In the question ,

Suppose  that the two identical digits are both 1.

and since the thousands digit must be 1, only one of the other three digits can be 1. This means that the  possible forms for the required numbers are

11xy , 1x1y , 1xy1  ,

Because the number must have exactly two identical digits, x ≠ y, x ≠ 1, and y ≠ 1.

Hence, Of this form there are 3 × 9 × 8 = 216 numbers .

Now suppose that two identical digits are not 1 , we will have the following possibilities:

1xxy , 1xyx , 1yxx

Again, x ≠ y , x ≠ 1 , and y ≠ 1 .

Of this form there are 3 × 9 × 8 = 216 numbers .

So , the total numbers are 216 + 216 = 432 .

Therefore , the total  numbers are 432 .

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emilio drive 450 miles on 18 gallons of gas. how far can he travel on one gallon

Answers

Answer:

25

Step-by-step explanation:

450 divided by 18 is 25

Answer: 25 miles

Step-by-step explanation:
450/18 = 25
25 miles with 1 gallon of gas

There are 28

students in a class. 12

of them are girls and

the rest are boys.

What percent are

boys? Round to a

tenth of a percent

Answers

Answer:

The percentage of boys is 57.1%.

Step-by-step explanation:

I don't have to explain.

Hope this just helps!

Have a great day/night!

a bag contains 2 coins, one fair and the other with 2 heads. you pick 1 coin at random and flip it. what is the probability that you picked the fair coin given that the outcome of the toss was heads?

Answers

The probability that you picked the fair coin given that the outcome of the toss was heads is 1/3.

There is a one in two chance of drawing the fair coin. The chances of flipping heads again are 1 in 2. As a result, there is a 1 in 4 chance that the coin will land on heads.

There is a one in two chance of drawing the trick coin. The probability of flipping heads is then 2 to 1. As a result, there is a 2 in 4 chance that the coin will land on heads.

When each is multiplied by four, the resulting integers are

fair: 1 and trick: 2

and overall results: 3. (fair and tails is not counted)

The likelihood of a fair coin is one in three.

The likelihood that the chosen coin will show heads and be the fair coin is 33.333%.

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Ellie runs 2700 meters in 12 minutes. How many meters can Ellie run in one minute?

Answers

Answer: 225

Step-by-step explanation:

f(x) = 3x² + 17
Find f(-5)

Answers

plug in -5 for x

3(-5)^2 + 17
the answer is 92
92 is your answer!
hope this helps

use differentials to estimate the amount of paint needed to apply a coat of paint 0.06 cm thick to a hemispherical dome with diameter 40 m. (round your answer to two decimal places.)

Answers

The amount of paint needed to apply a coat of paint is 1.00 m³.

Given:

a coat of paint 0.06 cm thick to a hemispherical dome with diameter 40 m.

we are asked to  estimate the amount of paint needed to apply a coat of paint.

The amounts

Volume of a hemisphere, V = (2/3)πr³

r = 40/2

= 20 m

dr = 0.04 cm = 0.0004 m

dV≈2πr²dr

= 2π(20)²(0.0004) m³

=  1.0048 m³

rounding it of to two decimal places.

= 1.00 m³

Hence the amount of paint needed is 1.00 m³

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A researcher develops a regression equation to predict first-year college grades (Y) from high school GPA (X): Y = 1.48 + .53X + e. What is the predicted first-year college GPA for someone with a high school GPA of 3.1?
3.6
1.6
3.1
4.1

Answers

The resulting regression was predicted GPA is 3.1 Predict the outcome of one variable from the outcome of a second variable.

The variable we are predicting is called the reference variable and is denoted as Y. The variable on which the prediction is based is called the predictor and is denoted as X. The magnitude of the correlation coefficient indicates the strength of the association. A prediction is a statement intended to tell you something about the future.

Predicted grades are qualifying grades that an applicant's school or college is expected to achieve under favorable circumstances. These predicted grades are used by colleges as part of the admissions process to help understand an applicant's potential. The expected result of an experiment is derived from a hypothesis or theory. This is a guess at the possible outcome of the scenario.

GPA= 3.1+3.6+1.6+3.1+4.1/ 5= 15.5/5 = 3.1

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determine the area under the standard normal curve that lies to the right of the z-score 0.11 and to the left of the z-score 0.41.

Answers

The requried area under the standard normal curve that lies to the right of z = 0.11 and to the left of z = 0.41 is approximately 0.1153.

To find the area under the standard normal curve that lies to the right of the z-score 0.11 and to the left of the z-score 0.41, we can use a standard normal table or a statistical calculator.

The area to the right of z = 0.11 can be found by subtracting the cumulative area to the left of z = 0.11 from 1.

The area to the left of z = 0.41 can be directly read from the standard normal table.

Using a standard normal table or a calculator, we find:

The area to the left of z = 0.11 is approximately  0.5438.

The area to the left of z = 0.41 is approximately 0.6591.

Now, let's find the area between these two z-scores:

Area = (Area to the left of z = 0.41) - (Area to the left of z = 0.11)

Area = 0.6591 - 0.5438

Area ≈ 0.1153

So, the area under the standard normal curve that lies to the right of z = 0.11 and to the left of z = 0.41 is approximately 0.1153.

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A student is taking a multiple-choice test in which each question has four possible answers. She knows the answers to 5 of the questions, can narrow the choices to 2 in 3 cases, and does not know anything about 2 of the questions. What is the probability that she will correctly answer A) 10, b) 9, c) 8 d) 7, e) 6, and f) 5 questions?
Do not need to answer every part if they are worked the EXACT same way.

Answers

The answer for this problem is c) 8

PLEASE HELP!! The graph g(x) is a transformation of the graph f(x)=3^x. Enter the equation of g(x) in the box.

Answers

The equation of g(x) = y=[tex]3^{x+1}[/tex]+1 is if the function f(x)=3ˣ

What is a graph?

A graph is a visual depiction or diagram that organizes facts or values. The points on the graph frequently reflect the relationship between two or more objects.

A function graph is a subset of a relation. In the current foundations of mathematics, and most notably in set theory, a function is truly equivalent to its graph. However, it is frequently beneficial to consider functions as mappings, which include not only the relationship between input and output, but also which set is the domain and which set is the codomain. For example, while determining whether a function is onto (surjective) or not, the codomain must be considered. The graph of a function does not determine the codomain on its own.

The graph is as follows: f(x) =[tex]3^{x}[/tex]

The graph g(x) represents a transformation of the graph f(x).

The g(x) curve travels through (-2,2) and (-1,4).

Let (a, b) represent any point on f(x).

After translation, a new curve g(x) is obtained that is parallel to the line, y=1 or asymptode is, y=1 or the graph becomes parallel to the x axis when y reaches 1.

g(x)= y-1=[tex]3^{x+1}[/tex]

g(x) = y=[tex]3^{x+1}[/tex]+1

The graph of the translated curve is +1.

The two graphs are shown below.

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I have $270 and 10¢ but I need $395 and 44¢, how much more money do I need?​

Answers

you need 125.34 more dollars. 270.10-395.44=125.34

Determine the equation of the circle with center (-1,-2)(−1,−2) containing the point (0,6)

Answers

The equation of the circle with center (−1,−2) containing the point (0,6).

(x + 1)^2 + (y + 2)^2 = 65

How to determine the equation of the circle?

Remember that the equation of a circle with radius R and center (a, b) is written as:

(x - a)^2 + (y - b)^2 = R^2

Here we know that the center of the circle is (-1, -2), then our equation is something like:

(x + 1)^2 + (y + 2)^2 = R^2

We know that our circle contains the point (0, 6), replacing these values in the equation above we get:

(0 + 1)^2 + (6 + 2)^2 = R^2

1 + 8^2 = R^2

65 = R^2

Then the circle equation is:

(x + 1)^2 + (y + 2)^2 = 65

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F
D
140°
120°
C
?
B

Thank you

Answers

180°-140°= 40°
120° + 40° = 160°
180° - 160° = 20°
B = 20°
Angles on a straight line add up to 180°
Angles in a triangle add up to 180°

an economist for a sporting goods company estimates the revenue and cost functions for the production of a new snowboard. these functions are r(x) = -x^2 + 10x and c(x) = 4x+5, respectively

Answers

The average profit is positive if the number of snowboards is less than 67418 .

Given:

An economist for a sporting goods company estimates the revenue and cost functions for the production of a new snowboard. These functions are R(x) = -x^2 + 10x and C(x) = 4x + 5, respectively, where x is the number of snowboards produced, in thousands. The average profit is defined by the function AP(x) = (Px)/x, where P(x) is the profit function.

The profit is P ( x ) = R ( x ) - C ( x )

= -x^2 + 10x - ( 4x + 5 )

= -x^2 + 10x - 4x + 5

= -x^2 + 6x + 5

Then AP( x ) = ( P( x )) / x

= -x^2 + 6x + 5 / x > 0

As x > 0 then the sign of AP(x) depends on numerator only.

-x^2 + 6x + 5 > 0

D = 36 + 20

= 56

x = 6.7417

Therefore AP(x) > 0 if 0 < x < 6.7417

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Full question:

An economist for a sporting goods company estimates the revenue and cost functions for the production of a new snowboard. These functions for the production of a new snowboard. These functions are R(x) = -x^2 + 10x and C(x) = 4x + 5, respectively, where x is the number of snowboards produced, in thousands. The average profit is defined by the function AP(x) = P(x)/x, where P(x) is the profit function. Determine the production levels that make AP(x) > 0.

a firm in a purely competitive industry is currently producing 1,000 units per day at a total cost of $700. if the firm produced 800 units per day, its total cost would be $450, and if it produced 500 units per day, its total cost would be $425.

Answers

if it produced 500 units per day, its total cost would be $425. then average total cost is $0.61

The average total cost is calculated as the total cost divided by the number of outputs. The firm's ATC at these three levels of production will be:

1. 1,000 units per day at a total cost of $700.

ATC = Total cost/output

ATC = $700/1000

ATC = $0.58

2. If the firm produced 1,000 units per day, its total cost would be $450.

ATC = Total cost/output

ATC = $450/1000

ATC = $0.45

3. If it produced 700 units per day, its total cost would be $425.

ATC = Total cost/output

ATC = $425/700

ATC = $0.61

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In an area where a river has cut deep into earth, there are several layers of very different rock exposed. The youngest rock layer is most likely to be the layer that is. Place the figures in order from least volume to greatest volume. Briefly describe the point of view about the mexican-american war expressed by the writer. which of the following are postulates of the kinetic molecular theory of gases? multiple select question. the average kinetic energy of the gas particles is inversely proportional to the absolute temperature. the gas particles are in constant, random motion although they do move in straight lines. the gas particles do not exert attractive or repulsive forces on each other. collision of gas particles are assumed to be elastic. the volume of gas particles is negligible compared to the volume occupied by the gas. a partnerships income-sharing ratio applies to: a. partnership income after salaries and interest are deducted b. partnership income before salaries are deducted but after interest is deducted c. partnership income after salaries are deducted but before interest is deducted d. partnership income before both salaries and interest are deducted Write an essay about one thing you do each day to help the environment. Which of the choices is the best implied thesis statement for the prompt? (Remember that an implied thesis statement is an overall idea or belief that a writer uses as the basis of the essay but never states directly in the writing.) how is athenian democracy different from American Government does the sequence { y k } converge? recall that there are four notions of convergence of random variables viz., almost sure, mean square, in probability and in distribu- tion. you should answer this question for each of these four modes of convergence. whenever you have convergence, also indicate what the limiting random variable is in this section you studied a nonmathematical model of electirc fields. how does this model represent the presence direction and strength of electircal fields A source of emf is connected by wires to a resistor, and electrons flow in the circuit. The wire diameter is the same throughout the circuit. Compared to the drift speed of the electrons before entering the resistor, the drift speed of the electrons after leaving the resistor is. A student is using colored beads to make a model of magnesium hydroxide, Mg(OH)2. Magnesium atoms arerepresented by orange beads, oxygen atoms by green beads, and hydrogen atoms by blue beads.Model bead color key.Magnesium orange beads O (orange)Oxygen green beads O (green)Hydrogen blue beads O (blue)What combination of beads should the student use for the model? which type of therapy focuses on manipulation of soft tissue by trained therapists for relaxation and healing? help guys i dont understand which built-in condition occurs when any error condition other than the not found condition occurs or when any warning messages occur. How is solving a real-world problem with a system of equations similar to solving a real-world problem with a single equation in one variable? How is the process different? how do we recognize alleles that have recently been favored for selection, as opposed to those that have spread through the population farther in the past? explain your answer. In the story Breaking and Entering, what does the phrase skip the door mean? (sourcing) who did the research for the statistics included in this chart? why might this chart be a useful source to help explain why the internal slave trade was known as the second middle passage? discuss the equilibrium that eventually results if a solid is placed in an initially evacuated closed container and is maintained at a given temperature doreen uses search to reach customers as they search for products similar to hers. she'd like to create a display remarketing campaign to reconnect with users and increase sales. how might remarketing help her meet this marketing objective?