mary has 16 forks and 12 knives to place in silverware holders at the fast food restaurant where she works. she wants to distribute them equally, with no forks or knives left over. what is the greatest number of silverware holders mary can stock?

Answers

Answer 1

The greatest number of silverware holders Mary can stock is 4, each containing 4 forks and 3 knives so that no fork or knife is left over and are distributed equally.

What is distribution?

When a quantity is to be distributed equally into a certain number of groups, we divide the quantity by the number of groups.

Equating number of silverware stocks :

Given: 16 Forks and 12 knives

To find: number of silverware stocks = ?

As we know that the knives and forks should be distributed equally in each silverware holder, 4 forks and 3 knives will go into each of the silverware holder.

Now, we need number of silverware holders each having same number of forks and knives.  

4 forks×4 = 16

3 knives× 4  = 12

∴ Number of silverware holders Mary requires to distribute knives and forks equally with no left over is 4.

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Related Questions

A cyclist travels 40km between two villages with an average speed of 18km\hr. Find how long the journey takes.​

Answers

Here the time taken to complete the journey is2 hour 20 minutes

To find it we need to use the formula which include speed, time and distance of total journey.

Speed=Distance/Time

Here we put the number based on the formula,

18km/hr=40km/time

Time=40km/18km/hr

Time=2.2hr or 2 hour 20 minutes

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A hive of bees contains 27 bees when it is first discovered. After 4 days, there are 45 bees. It is determined
that the population of bees increases exponentially.
How many bees are will there be after 40 days? Round your answer to the nearest whole number.

Answers

After 40 days 4467 bees will be the population after 40 days.

What is an exponential function?

An exponential function is a Mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

Given here: A hive of bees contains 27 bees when it is first discovered. After 4 days, there are 45 bees. The population of bees also increase exponentially.

let the function that gives the population of bees after given days

f(x)=aˣ27

a⁴×27=45

       a= [tex]\sqrt[4]{45/27}[/tex]

        a=1.1362

Thus for x= 40 we have f(40)=1.1362⁴⁰×27

                                               = 4465.69

                                               =4467 (approx)

Hence, After 40 days 4467 bees will be the population after 40 days

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for each pair of points below think about the line that joins them. for which pairs is the line parallel to the x-axis?

Answers

Pair of points representing parallel line to the x-axis from the given pairs is equal to option a. (3.2, 7) and (5, 7).

As given in the question,

Line parallel to the x-axis has slope = 0

Calculate the slope of each pair of points :

a. (3.2, 7) and (5, 7)

Slope = (y₂ - y₁)/ (x₂ - x₁)

          = ( 7- 7) / ( 5 - 3.2)

          = 0

Pair of points represents parallel line to x-axis.

b. (8, 8.4) and (8, 8.8)

Slope = (y₂ - y₁)/ (x₂ - x₁)

          = ( 8.8- 8.4) / ( 8 - 8)

          = not defined

Pair of points is not parallel to x-axis.

c. (6 1/2, 12) and (6.2, 11)

Slope = (y₂ - y₁)/ (x₂ - x₁)

          = ( 11- 12 / ( 6.2 - 6.5)

          = 1/ 0.3

         = 10/3

Pair of points is not parallel to x-axis.

Therefore, pair of points represents parallel line to x-axis is equal to

option a. (3.2, 7) and (5, 7).

The complete question is:

For each pair of points below, think about the line that joins them. For which pairs is the line parallel to the x-axis? Circle your answer(s). Without plotting them, explain how you know.

a. (3.2, 7) and (5, 7)

b. (8, 8.4) and (8, 8.8)

c. (6 1/2, 12) and (6.2, 11)

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name all the corresponding sides and angles below if the polygons are congruent

not sure if i need to add more or if there’s some i missed

Answers

Answer:

Step-by-step explanation:

write all your sides and angles down

Corresponding sides:

AC≅JL

CB≅LK

AB≅JK

Corresponding angles:

∠A≅∠J

∠C≅∠L

∠B≅∠K

Question-2
What is the distance between the zeros of the function defined by
6 (2x²+2-8)-2x (2x - 1)?

Answers

Answer:

(2x−1=2x−1) (mark me brainliest) <3!

I am in 6th grade, can somebody answer in 6th grade skill? Here is an incomplete equation of 534 divided by 6. I only have 4 minutes left and I am stressed out!!!!

Answers

The answer would be 89 after 534 divided by 6 and applying the concept of arithmetic operation.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.

It is given that:

534 divided by 6

[tex]\begin{matrix}\:\:\:\:\:\:\emptyspace8\emptyspace9\:\:\:\:\:\:\:\:\:\:\:\:\\ 6\overline{|\smallspace534}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\underline{\emptyspace4\emptyspace8}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace5\emptyspace4\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace5\emptyspace4}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

The A = 48

B = 54

C = 54

After applying the concept of arithmetic operation.

Thus, the answer would be 89 after 534 divided by 6 and applying the concept of arithmetic operation.

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the tigers beat the sharks 2 out of the 3 times they played. they then played more times, and the sharks ended up winning at least 95% of all the games played. what is the minimum possible value for ?

Answers

37 is the minimum possible value for N.

Given,

Sharks' current winning percentage is 1/3*100, or 33.33%.

Since Shark's winning rate must be at least 95%, we must determine the lowest number of N that can be used. Sharks must thus win every one of the N games in order to reduce N.

Total matches therefore equal N+3.

When sharks have a 95% winning percentage, tigers will have a 5% winning percentage. And they'll only triumph in two games overall.

Therefore,

2 matchups represent 5% of all matches.

As a result, there were 40 total matches (2/5*100).

So,

N+3 = 40 => N= 37

As an alternative, you can determine the solution by solving the following equation.

2/(N+3) = 5/100

You will obtain N = 37 by solving.

That is,

The minimum possible value for N is 37

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circle the number that are divisible by both 5 and 2 (25,40,55,70,80,95)

Answers

Answer:

40, 70, 80

Step-by-step explanation:

It would have to be numbers that end in 0.  Numbers that are divisible by 5 end in 0 or 5, but numbers divisible by 2 do not end in 5, so only the numbers that end in 0 are divisible by 2 and 5.

how many integers can be represented as a difference of two distinct members of the set $\{1, 2, 3\}$?

Answers

We can represent 4 integers as a difference of two distinct members i.e.    {1, -1, 2, -2}.

What are Integers ?

The collection of positive and negative integers is known as an integer. Integers, like whole numbers, do not include the fractional portion. Integers can therefore be defined as numbers that can be positive, negative, or zero but not as fractions.

Here, we have 3 distinct positive integers which are {1, 2, 3}.

We can list down the integers as a difference of the two distinct members as follows :

1 - 2 = -1

2 - 1 = 1

2 - 3 = -1

3 - 2 = 1

1 - 3 = -2

3 - 1 = 2

So, we can see clearly it is representing only 4 integers which are {1, -1, 2, -2}.

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Plot the points (-5, 3) and (-4, 9) and find the slope.​

Answers

Answer:

Slope M=6

Step-by-step explanation:

What is the slope of the black line?


What is the slope of the blue line?

Answers

Answer:

Blue line: -1/2

Black line: 3/4

Step-by-step explanation:

The slope of the blue line is a negative cause its a negative slope and the slope of the black line is positive cause its a positive slope.

Hope it helps!

Could you please give me brainiest for this? Thank you!

By using compatible numbers, the estimate is
Use a calculator to multiply 92 × 12. What do you get?
Circle whether the estimates were all less than or greater than
the actual product.

Answers

By using compatible numbers, the estimate is 900

Using a calculator, the actual product is 1104The estimates were less than the actual product.

How to estimate the product expression?

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

92 x 12

From the question, we are to make use of compatible numbers

This means that we have the following approximation

92 = 90

12 = 10

Next, we estimate the product using approximated values

i.e.

Product = Approximation of 92 x Approximation of 12

Substitute the known values in the above equation, so, we have the following representation

Product = 90 x 10

Evaluate the products

Product = 900

Using a calculator, we have

Product = 92 * 12

Evaluate the products

Product = 1104

900 is less than 1104

Hence, the estimate is less than the actual product

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a problematic case may occur when two variables measured on a sample of individuals have a correlation of less than 1. on average, individuals that are far from the mean on the first measurement will lie closer to the mean on second; this phenomenon is called

Answers

Individuals that are far from the mean on the first measurement will lie closer to the mean on second; this phenomenon is called regression towards the mean.

What is regression?

Regression analysis is a group of statistical procedures used in statistical modelling to determine the relationships between a dependent variable and one or more independent variables.

If one sample of a random variable is extreme, the next sampling of the same random variable is likely to be closer to its mean. This is known as regression toward the mean.

Background A statistical phenomenon called regression to the mean (RTM) can cause natural variation in repeated data to appear as actual change. It occurs when measurements that are frequently followed by ones that are more typical of the range are unusually large or small.

Hence, individuals that are far from the mean on the first measurement will lie closer to the mean on second; this phenomenon is called regression towards the mean.

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the equation x^3-6x=72 has a solution between 4 and 5

Answers

The solution of the given equation is  between 4 and 5.

What is solution of an equation?

The points where the lines representing the intersection of two linear equations intersect are referred to as the solution of a linear equation. In other words, the set of all possible values for the variables that satisfy the specified linear equation constitutes the solution set of the system of linear equations.

Consider the given equation,

x^3 - 6x = 72

Subtract 72 from both sides,

x^3 - 6x - 72 = 72 - 72

x^3 - 6x - 72 = 0

After solving this equation we get

x ≈ 4.63902

This value is exactly between the 4 and 5.

Hence, the solution of the given equation is  between 4 and 5.

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Colin buys a car for £45500.
It depreciates at a rate of 6% per year.
How much will it be worth in 3 years?
Give your answer to the nearest penny
where appropriate.

Answers

$37310.00 is the answer

What is the slope of the line that passes through the points (-5, -9) and
(-5, -13)? Write your answer in simplest form.
Answer:
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Submit Answer
S
DELL
atten

Answers

Answer:

undefined

Step-by-step explanation:

the line has always the same x, so it is a vertical line

A vertical line has an undefined slope

suppose that two players are playing the following game. player 1 can choose either top or bottom, and player 2 can choose either left or right. the payoffs are given in the following table: where the number on the left is the payoff to player a, and the number on the right is the payoff to player b. if each player plays their maximin strategy, the outcome of the game will be player b player a left right top 8 1 2 6 bottom 3 5 4 2 group of answer choices top/left top/right bottom/left bottom/right

Answers

A) Player 1 does not have a dominant strategy because if player 2 plays left, then player 1 should play bottom but if player 2 plays right then player 1 should play top. For a dominant strategy to existing player 1 would have to chose top or bottom regardless of what player 2 does.

B) Player 2 has a dominant strategy of left because this always produces a better outcome for this player. Specifically, if player 1 plays top player 2 is better off playing left (since 5 > 4) and if player 1 plays bottom player 2 is still better off playing left (since 4 > 3)

C) i) Top/Left is not a Nash Equilibrium because if player 2 plays left then player 1 would be better off playing bottom and it only takes one player wanting to deviate to ruin a potential Nash Equilibrium.

Simplest 3 varieties of stresses can exchange the composition of an equilibrium aggregate: (1) a change inside the concentrations (or partial pressures) of the additives by using adding or doing away with reactants or merchandise, (2) an alternate in the general strain or quantity, and (three) an exchange within the temperature of the gadget.

To learn more about A) Player 1 does not have a dominant strategy because if player 2 plays left, then player 1 should play bottom but if player 2 plays right then player 1 should play top. For a dominant strategy to existing player 1 would have to chose top or bottom regardless of what player 2 does.

B) Player 2 has a dominant strategy of left because this always produces a better outcome for this player. Specifically, if player 1 plays top player 2 is better off playing left (since 5 > 4) and if player 1 plays bottom player 2 is still better off playing left (since 4 > 3)

C) i) Top/Left is not a Nash Equilibrium because if player 2 plays left then player 1 would be better off playing bottom and it only takes one player wanting to deviate to ruin a potential Nash Equilibrium.

Simplest 3 varieties of stresses can exchange the composition of an equilibrium aggregate: (1) a change inside the concentrations (or partial pressures) of the additives by using adding or doing away with reactants or merchandise, (2) an alternate in the general strain or quantity, and (three) an exchange within the temperature of the gadget.

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what is the expected sum of the numbers that appear when three fair dice are rolled? (enter the value in decimal format.)

Answers

The expected sum of the numbers that appear when three fair dice are rolled, is 10.5.

In the given question we have to find the expected sum of the numbers that appear when three fair dice are rolled.

As we know that a dice have six faces. Each faces are mark from the number 1 to 6.

That means if we rolled a dice then there is possibility of coming six numbers. That numbers are 1, 2, 3, 4, 5, 6.

Now the sum of these numbers is

1+2+3+4+5+6 = 21

Total numbers are 6.

So the expected sum of the numbers that appears when one fair dice is rolled

=21/6

=3.5

Since there are three fair dice that are rolled.

So the expected sum of the numbers that appears when three fair dice are rolled = 3*3.5

The expected sum of the numbers that appears when three fair dice are rolled = 10.5

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if you have 200 meters of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?

Answers

1600 square meters is the greatest area that may be enclosed.

 Rectangle.

The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.

If fencing is required for 200 meters, then the enclosed area's perimeter is 200 meters.

Perimeter of rectangle = 2(L + B)

2(L+B) = 200

Divide both sides by 2

L+B = 100

L = 100 - B

Here,

Area(A) = L X B

Substitute L = 100 - B into the equation above

A = (100 - B) x B

A = 100B - B²

At maximum area dA/dB = 0

dA/dB = 100 - 2B

100 - 2B = 0

2B = 100

B = 100/2

B = 50m

So L = 100 - 50

L = 50m

Maximum area to be enclosed = 50 x 50

Maximum area to be enclosed = 2500 square meters

In conclusion, the 2500 square meters of space that the fence will enclose

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What is the equation of the line that passes through the point (4,6)(4,6) and has an undefined slope?.

Answers

Answer:

x = 4

Step-by-step explanation:

A line with undefined slope is a vertical line.

Vertical lines have equation in the form:

x = anumber

In this case they gave you the info you need (4,6) The 4 is the x and the 6 is the y. (4,6) is in the form (x,y).

So x is 4.

x = 4

help help help help help

Answers

The y value of the y-intercept is 146 feet while the slope is -4 feet per second

How to find the y value of the y-intercept and the meaning?

it was given that Kaliel starts at a height of 142 feet. That means at time 0 second (the start), he is at height 142 feet. So this is y-intercept i.e. time = 0 (x-axis), height = 146  (y-axis)

Thus, the y value of the y-intercept is 146 feet

In this case, the slope is defined as the rate of change in height with time i.e the rate at which he descends

Slope = Change in height / Change in time

From the table, the time given is 8 and 13 when the height is 110 and 94. Slope will be:

Slope = (94-110) /(12-8)

Slope = -16/4

Slope = -4

This implies he descends at a rate of 4 feet per second.

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suppose a package to be mailed using a certain postal service may not measure more than 114 inches in length plus girth. (length is the longest dimension and girth is the largest distance around the package, perpendicular to the length.) find the greatest volume (in inches cubed) of a rectangular box with square base that may be mailed.

Answers

Such a box can hold a maximum volume of (114/2)3 = 9837.4 cubic inches.

A three-dimensional space's occupied volume is measured. [1] It is frequently measured numerically with SI-derived units (like the cubic meter and litre) or with a variety of imperial or US-standard units. In contrast to how much space the container actually occupies, the volume of a container is typically thought of as its carrying capacity, or the amount of fluid (liquid or gas) that it could hold. A shipment cannot be larger than 114 inches in length plus girth if it is going through a specific postal service. The maximum cubic inch volume of a rectangular box with a square base that can be sent is (114/2)3 = 9837.4.

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if the correlation between two variables is close to 0, you can conclude that a scatterplot would show

Answers

Scatterplots would show no straight‑line pattern, but there might be a strong pattern of another form.

The correlation coefficient between the values is close to 0, which means that there is no pattern of any form, hence, the scatterplot would show a cloud of points with no visible pattern

A scatter plot is a form of plot or mathematical diagram that uses Cartesian coordinates to display values for typically two variables for a collection of data. It is also known as a scatter graph, scatter chart, scattergram, or scatter diagram. One more variable can be shown if the points are color-, shape-, or size-coded. The data are represented as a set of points, where each point's position on the horizontal axis is determined by the value of one variable and its position on the vertical axis by the value of the other variable.

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c. find the mean, median, and standard deviation of heating degree days (hdd), broken down by season, for the california (code 0499). (ignore the first and last rows for the given location, the ones that contain -9999, the code for missing values.) round your answers to two decimal places, if necessary.

Answers

mean =1.532

median = 6.98

standard deviation = 3.5

mean for heating degree days and broken down by season for the california

according to the given values we find the mean

mean =

-1.45+ -2.5+-4.5+1.056+3.67+6.98+3.78+2.67+4.87+3.45+2.97+-4.06/12

=1.532

median for heating degree days and broken down by season for the california  

according to the given values now we find the median

median = 6.98

standard deviation  for heating degree days and broken down by season for the california  

according to the given values now we find the standard deviation

standard deviation = square root of ∑([tex]x_{i}[/tex]- μ)^2/n

  = 3.5

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10 POINTS

AE bisects BD; AB is congruent to DE

prove:

triangle ABC congruent triangle EDC

Answers

Given that, AB ≅ ED, CA ≅ CE, and AE bisects BD, the two-column proof that shows ΔABC is congruent to  ΔEDC by SSS Congruence Theorem.

What is the SSS Congruence Theorem?

The side-side congruence theorem (SSS) states that if two triangles has three pairs of sides that are congruent to each other, then both triangles are congruent.

We are given the following information that is;

AE bisects BD; AB is congruent to DE

Since AE bisects BD, thus the third pair of sides of ΔABC and ΔEDC, BC and CD, will be congruent.

This implies that both triangles has three pairs of congruent sides (AB ≅ ED, CA ≅ CE, and BC ≅ CD), meets the criterion of the SSS Congruence Theorem.

Therefore,  ΔABC ≅  ΔEDC by SSS Congruence Theorem.

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The average time it takes Greg to mown a lawn can be defined by the expression 28x + 5

Answers

The number 28 represented by the equation A = 28x + 5 is the average time it takes to mow one lawn

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be = A

Now , the equation A is given as

A = 28x + 5

where x is the number of lawns to mow

Now , A is the average time required to mow a lawn

So , the number 28 is the average time required to mow a single lawn

Therefore , the number 28  average time it takes to mow one lawn

Hence , The number 28 represented by the equation A = 28x + 5 is the average time it takes to mow one lawn

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Use the information given to enter an equation in standard form.


Slope is 7, and (1, 8) is on the line.

Answers

The linear equation associated with slope is 7, and (1, 8) is on the line is y = 7x + 1.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant b.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

A linear equation or function is given as ;

y = mx + b

Now,

At x = 0 ⇒ y = b so it will be a y-intercept.

Put m = 7 , x = 1 and y = 8

8 = 7(1) + b

b = 1

Thus, y = 7x + 1

Hence "The linear equation associated with slope is 7, and (1, 8) is on the line is y = 7x + 1".

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Determine whether the equation 3(4g+6)=2(6g+9) has one solution, no solution, or infinitely many solutions.

Answers

Answer:

one solution

Step-by-step explanation:

what is 4 times (5+3) divided by 8-2

Answers

Answer: 5.3

Step-by-step explanation: First, you have to use PEMDAS and then you will get 32 divided by 6, which is 5.3 repeating

possible points: 7.14 question the student council is selecting officers for the next school year from the 7 freshmen, 4 sophomores, and 6 juniors that are running for the 5 officer positions available. at least three officers must be juniors. how many different possibilities are there for the 5 different officer positions?

Answers

The 5 separate possibility that officer seats may be filled in 336 different ways.

7 + 4 + 6 = 17 students are running for the 5 officer positions. If at least 3 of the 5 positions must be filled by juniors, there are 6 ways to choose which 3 juniors will fill these positions.

Then there are 7 + 4 - 3 = 8 remaining students 3 juniors and 5 from the remaining sophomores and freshmen to fill the remaining 2 positions.

There are 8 ways to choose the first of these 2 positions and 7 ways to choose the second, so there are a total of 6 × 8 × 7 = 336 ways to choose the officers.

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Find the missing number.n/5 = 7/8 12. What can you infer about why the French supported the Americans instead of the British during the Revolutionary War?1 point 1.The French wanted to overthrow the Americans later to get their land back.2.The French were already angry with the British and so supported their enemies.3.The French thought helping the Americans would make them wealthy4.The French feared American troops would attack their land in North America if they did not help the living standard in country x doubles in 12 years. what is its average annual growth rate roughly? A data analyst is working with a file from a customer satisfaction survey. The survey was sent to anyone who became a customer between April and June, 2020. Which of the following is an effective name for the file? | QuizerrySurvey_ResponsesNewCustomerSurvey_2020-6-20_V03 Apr-June2020_CustSurvey_VApril_May_June_2020_Responses_to_New_Customer_Survey_ANALYSISDATA_928310 you are alone with a client who is in crisis. you remember that your body language is an important crisis intervention strategy. how should you adjust your body language towards the client? compare the way that shelley creates complex characters in walton and victor. what purpose is there in starting the novel with these two characters? The tribes in Kenya get along very well.True False a therapeutic technique in which survivors relive a traumatic event in their imaginations by recording a verbal account of the event and then listening to the recording daily. Produces significant reductions in anxiety and symptoms of PTSD compared with no therapy and with other therapies that promote more gradual and subtle forms of exposure. which psychosocial change does a toddler exhibit achieves full independence engages in temper tantrums which statement distinguishes the theory of global capitalism from the other theories of globalization? Franco has decided he wants to adopt the ethics of care. He is now deliberating aboutwhether to voice a controversial view during a get-together with his family. In order to applythe ethics of care, he should focus more on howa. his right to free speech would be affected by his decision.b. his autonomy would be violated if he decided to stay silent.c. his opinion might negatively affect family members he cares about.d. he should follow certain rules.c. his opinion might negatively affect family members he cares about. Write the days that kae up el fin de semana what is modification of the opinions of members of a group to align with what they believe is the group consensus? group of answer choices group patterns groupthink pattern bias inter-group bias michelin tires is having a promotion wherein if you purchase 4 tires at full price, you can send in your receipt provide additional information and receive a check in 4-6 weeks. this represents what promotional tool? carlos owns one of the 30 lawn mowing businesses in his city. what will happen to his business if there are new entrants into his city's lawn mowing market? PLES HELP ME June knits scarves and hats for kids in her community. She has knitted six less than twice as many hats as scarves, and she has made a total of 78 items. How many hats has she knitted? the assumption of direct financial responsibility for a debt does not need to be in writing to be enforceable. group of answer choices false true a number of theorists argue that early traumatic experiences such as violence, emotional trauma, and sexual abuse are prerequisites to the development of personality disorder, and that women in the united states are particularly likely to be subjected to such experiences. please choose the correct answer from the following choices, and then select the submit answer button. answer choices dependent borderline avoidant narcissistic I really didnt get this venn diagram 3. Why do you think it is important for a cell to be selective?