An octagon with vertices at (-4, 2), (-2,5), (1,5), (3, 2), (3, -6), (1, -3), (-2, -3),

and (4, -6) was dilated by a scale factor of 3 and with a center of dilation at the

origin. What are the coordinates of the vertices of the dilated octagon

Answers

Answer 1

Coordinates of the vertices of the octagon after dilation by scale factor 3 are (-12, 6), (-6,15), (3,15), (9, 6), (9, -18), (3, -9), (-6, -9),and (12, -18).

Original coordinates of the vertices of an octagon are :

(-4, 2), (-2,5), (1,5), (3, 2), (3, -6), (1, -3), (-2, -3), and (4, -6).

Scale factor is equal to 3

Figure transformed using dilation of scale factor of 3 with center of dilation at the origin.

Coordinates of the new vertices after dilation of the octagon.

(-4×3, 2×3) = ( -12, 6)

(-2 ×3,5×3) = ( -6 , 15)

(1 ×3,5×3) = ( 3 ,15)

(3×3, 2×3) = ( 9,6)

(3×3, -6×3) = ( 9, -18)

(1 ×3, -3×3) = ( 3 , -9)

(-2×3, -3×3) = ( -6 , -9)

(4×3, -6×3) = (12, -18)

Therefore, the new coordinates of the vertices after dilation are (-12, 6), (-6,15), (3,15), (9, 6), (9, -18), (3, -9), (-6, -9),and (12, -18).

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Related Questions

purple
black
green
5-110
The spinner shown to the left is spun twice. Make a
table and calculate the probability of each of the
following outcomes. Write your answers as simplified
fractions.
Probability Table: NEED HELP WITH THE PROBABILITY TABLE


P(getting green twice)

Answers

Step-by-step explanation:

give me a brainlist please

After you have constructed a 60° angle, what other appropriately used construction will get you a 30° angle?

Answers

Answer:

Construct an angel bisector


If you want to divide an angle into two equal angles you can use angle bisector .

What’s the missing angles??

Answers

Try multiplying the 91 and 65 then that's an answer for one. Then try dividing them for another angle.

How many miles is the diagonal path from Jim house to the mall

Answers

The distance from Jim's house to the mall is given as follows:

11.25 miles.

How to obtain the distance between two points?

Suppose that we have two points with coordinates given as follows:

[tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex]

Then the equation for the distance between these two points is given as follows:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The coordinates are given as follows:

Jim's house: (17, 13).Mall: (8,1).

Hence the distance is given as follows:

[tex]D = \sqrt{(17 - 8)^2+(13 - 1)^2}[/tex]

D = 15 units.

Each unit represents 0.75 miles, hence the distance in miles is given as follows:

15 x 0.75 = 11.25 miles.

Missing Information

The problem is given by the image presented at the end of the answer.

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POINTS GIVEN!!! ASAP Alang was out at a restaurant for dinner when the bill came. His dinner came to $18. He wanted to leave a 10% tip. How much was his meal plus the tip, before tax, in dollars and cents? ASAP

Answers

Answer: $19.80

Step-by-step explanation:

Step 1:

Multiply to get tip:

18*0.1=1.8

Step 2:

Add:

18+1.8=19.8

Add the zero in the hundredths digit place since there are always two-digit places after the decimal point when dealing with money.

Solve the quadratic inequality in terms of x 3x^2-8x+15>10x

Answers

The solution of the inequality in terms of x is x > 3 or x < 5/3.

What is quadratic inequality?

A quadratic inequality is simply a type of equation that does not have an equal sign and includes the highest degree of two. The wavy curve method is a method used to solve quadratic inequalities. Solving quadratic inequalities is the same as solving quadratic equations.

To solve the quadratic inequality 3x^2 - 8x + 15 > 10x, we first need to move all the terms to one side of the inequality sign to create a standard form of quadratic inequality.

3x^2 - 8x + 15 > 10x

3x^2 - 18x + 15 > 0

Now we can factor the left side of the inequality as (3x-5)(x-3) > 0

To solve the inequality, we need to find the values of x that make the expression (3x-5)(x-3) > 0 true. We can do this by setting each factor to zero and solving for x:

3x - 5 = 0, x = 5/3

x - 3 = 0, x = 3

Now we need to test these values of x in the original inequality to see if they make it true or false, and also we need to test values of x between and around these roots.

For x = 5/3, we have 3(5/3)^2 - 8(5/3) + 15 > 10(5/3)

Which is true.

For x = 3, we have 3(3)^2 - 8(3) + 15 > 10(3)

Which is also true.

So, we can conclude that the solution of the inequality is x > 3 or x < 5/3.

Therefore, the solution of the inequality in terms of x is x > 3 or x < 5/3.

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a cook wants to know what happens to bacon when it is fried in a frying pan versus microwaving it. specifically, the cook wonders if the bacon ends up moister and more flavorful when fried or when microwaved. what are the dependent variables

Answers

The dependent variables in the following scenario are whether the bacon becomes moister and more flavorful and the independent variable is the cooking method.

In statistics, a dependent variable is one whose value is determined by another set of variables called independent variables. To put it simply, the dependent variable is the thing that is being tested or calculated. The dependent variable is sometimes known as the "outcome variable." In the given scenario, the chef was curious as to whether or not frying or microwaving the bacon would produce a moister and more flavorful final product. The bacon is the result of the experiment, hence it is a dependent variable.

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Sandy sold her homemade strawberry jam for $5 per jar at the farmers’ market. She bought a basket of strawberries for $24 to make the jam. If x represents the number of jars of jam sold, which expression represents Sandy’s earnings?

Answers

The expression that represents Sandy’s earnings is 5x - 24

How to determine the earnings expression

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

Cost price = $24

Selling price = 5 per jar

This means that the total sales is

Total = 5 * x

Evaluate

Total = 5x

The earnings is the difference between the total sales and the cost price

Sp, we have

Earnings = 5x - 24

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Several friends each want to buy new basketball shoes that cost $60. To earn money, they do yard work for $9 an hour. The table shows the number of hours each person did yard work for each day. Who earned enough money to buy the basketball shoes? What inequality can you write to represent this situation?

Indicate whether or not each friend earned enough money to buy the basketball shoes.

Answers

Answer:

Step-by-step explanation:

There's no table or image attached to your question, but they would have to work at least 7 hours in order to earn enough money. In 7 hours, they would earn $63.

how to determine if a function is even or odd algebraically

Answers

If f(-x) = -f(x), the function is odd. and if f(-x) = f(x), the function is even.

What are functions?

A function is defined as a relation between a set of inputs having one output each, a function is a relationship between inputs where each input is related to exactly one output.

We can decide algebraically if a function is even, odd or neither by replacing x by -x and computing f(-x).

If f(-x) = f(x), the function is even.

If f(-x) = -f(x), the function is odd.

In order to "determine algebraically" whether a function is even, odd, or neither, you take the function and plug − x in for x, simplify, and compare the results with what you'd started with.

If you end up with the exact same function that you started with (that is, if f (− x) = f (x), so all the signs are the same), then the function is even; if you end up with the exact opposite of what you started with (that is, if f (− x) = − f (x), so all the signs are switched), then the function is odd.

If the result is neither exactly the same nor exactly opposite (that is, nor having all the same terms but with all the signs reversed), then the function is neither even nor odd.

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Question Down Below: (Please i really need to complete this right now)

Answers

The inequality to represent the constraints will be:

x + y ≥ 325

x + 2y = 600

How to calculate the inequality?

Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal. Inequalities implies that the expressions are not equal. Here, they are denoted by the symbols ≥ < > ≤.

Let x = number of vegetarian meals

Let y = number of meats.

The inequality to represent the constraints will be:

x + y ≥ 325

x + 2y = 600

In this case, the daily budget is 600.

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many television viewers express doubts about the validity of certain commercials. in an attempt to answer their critics, timex group usa wishes to estimate the true proportion p of all consumers who believe what is shown in timex television commercials. what is the smallest number of consumers that timex can survey to guarantee a margin of error of 0.05 or less at a 99% confidence level?

Answers

Timex can survey at least 384 consumers to guarantee a margin of error of 0.05 or less at a 99% confidence level.

What is proportion ?

A proportion is a way to express the relationship between two or more quantities or values. It is a statement that asserts that two ratios or fractions are equal, such as "2/5 is equal to 4/10".

To estimate the true proportion p of consumers who believe what is shown in Timex television commercials, Timex can use a sample proportion formula which is:

p = (number of positive responses) / (sample size)

To guarantee a margin of error of 0.05 or less at a 99% confidence level, Timex can use a sample size calculator. The sample size calculator takes into account the margin of error, confidence level, and the proportion of the population that is expected to be positive.

The sample size can be calculated using the formula :

n = (z^2 * p * (1-p)) / E^2

Where z is the z-score for the desired confidence level (z = 2.576 for 99% confidence level), p is the estimated proportion of the population that is expected to be positive (0.5 if the true proportion is unknown), and E is the desired margin of error (0.05).

Timex can survey at least 384 consumers to guarantee a margin of error of 0.05 or less at a 99% confidence level.

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A sculpture needs to lift a piece of marble.
It is a cuboid with dimensions 1 m by 0.6 m by 0.3 m.
Marble has a density of 2.7g/cm cubed.
What is the mass of the marble in kg?

Answers

The mass of the marble lifter by a sculpture is 0.0306 kg.

What is a cuboid?

A cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.

We know the volume of a cuboid is (length×width×height).

Therefore, The volume of this cuboid is (1×0.6×0.3) = 0.18 m³.

The marble has a density of 2.7g/cm which is equivalent to 0.17kg/meter.

We know Mass = volume×density.

Therefore, The mass of the marble is 0.17×10.18 kg.

= 0.0306 kg.

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An architect's model for a building is 1. 4 m long and 0. 8 m wide. The

actual building is 240 m wide. What is the length of the building?

Answer:

Answers

Based on the dimensions of architecture's model and width of the building, the length of actual building is 420 meters.

The question is based on scale concept. Here the ratio of length to width will be same between the actual building and architect's model. Using this information to find the length of the building. Let us assume the length of actual building be x.

The ratio will be -

length:width (architect's model) = length:width (actual building)

1.4 : 0.8 = x : 240

Representing it as fraction

1.4/0.8 = x/240

x = 1.4 × 240/ 0.8

Performing multiplication in numerator

x = 336/0.8

Performing division

x = 420 meters

Thus, the length of the building is 420 meters.

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There are two blue marbles, 10 orange marbles, and 4 white marbles in a bag. What is the probability of picking a blue or white marble?

Answers

Answer: Blue: 12.5%

              White: 25%

              Orange: 62.5%

              Blue or White: 37.5%

Step-by-step explanation:

Step 1: Add all the Marbles together: 2 blue + 10 Orange + 4 White = 16     Marbles

Step 2: Add Blue and White marbles together: 2 blue + 4 White = 6 Marbles

Step 3: Divide Blue and White Marbles with total Marbles: 6/16 = 0.375

Step 4: Convert to Percentage: 0.375 x 100 = 37.5%

the track of a bicycle tire that completes one revolution is 54 ft. what are the radius, diameter, and circumference of the wheel?

Answers

The radius is 8.59 ft, the diameter is 17.18 ft and the circumference is 54 ft.

How to find the radius, diameter, and circumference of the wheel?

The circumference of the wheel will be 54 ft, since that's the distance the tire travels in one revolution.

The diameter of the wheel is twice the radius, so if we can find the radius we can find the diameter.

To find the radius (r), we can use the formula:

circumference = 2 × π × radius

54 = 2 × π  ×  r

r = 54 /2 π = 8.59 ft

The diameter is twice the radius, so:

diameter = 2r

diameter = 2 × 8.59 =  17.18 ft

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Please answer the question :)

Answers

An inequality represented by situation A is x < -4.

An inequality represented by situation B is x ≤ 3.

What is an inequality?

In Mathematics, an inequality simply refers to a mathematical relation that is typically used for comparing two or more numerical values and variables in an algebraic equation based on any of the following inequality symbols:

Less than or equal to (≤).Greater than (>).Greater than or equal to (≥).Less than (<).

In this exercise, we would use interpret each of the situations by using an inequality to model them. On the balance in situation A, the tray on the left is denoted with the variable (x) while the tray on the right is denoted with numerical values of "-1" in four places, therefore, we would write the inequality as follows:

x < 4(-1)

x < -4.

In situation B, the circle on the number line (graph) is closed because it represents the less than or equal to (≤) symbol and it decreases to the left of the number line;

x ≤ 3.

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(b) A workshop produces 360 chairs in
5 days.
The rate of production is ?
chairs/day.

Answers

Answer:

72

Step-by-step explanation:

just divide 360 by 5

ez

To find the rate of production, you have to divide the number of chairs produced by the amount of days.

Given:

Chairs produced - 360

Days - 5

[tex]360\div5[/tex]

[tex]\fbox{72 chairs per day}[/tex]

what is the probability of spinning a three on the first spinner, the color orange on the second spinner, and rolling an even number of the fair number cube?

A. 1/12
B. 1/16
C. 1/24
D. 1/48

Show your work please!!

Answers

Answer:

D. 1/48

Step-by-step explanation:

Each event (spinning a 3, spinning orange, rolling an even number) is an independent event, so the overall probability is the product of the three individual probabilities.

For each event,

p(event) = (number of desired outcomes)/(total number of possible outcomes)

p(spinning a 3) = 1/6

p(spinning orange) = 1/4

p(even number) = 3/6 = 1/2

p(spinning a 3 then spinning orange then rolling an even number) =

= 1/6 × 1/4 × 1/2

= 1/48

Answer: D. 1/48

Answer:

1/48

Step-by-step explanation:

First look at the spinner- there is only one three out of six, so the spinner is 1/6

Now looking at the second spinner- there are four spaces and one orange- giving us 1/4

And finally for the die there are six sides and three are even- which is 3/6


And in order to get our final answer we will multiply 1/6 * 1/4 * 3/6 which equals 1/48

if the variance of a normal population is 5, what is the probability that the variance of a random sample of size 15 exceeds 9.329 (round off to third decimal place)?

Answers

If the variance of a normal population is 5,  the probability that the variance of a random sample of size 15 exceeds 9.329  is 0.069.The variance of a sample from a normal population has a chi-squared distribution, which is the sum of the squares of the standard normal distribution.

The probability can be calculated by finding the area to the right of the chi-squared value of 9.329 on the chi-squared distribution. This area can be found by using the chi-squared cumulative distribution function, which is the integrated form of the chi-squared probability density function.

To find the probability, the chi-squared cumulative distribution function is used to calculate the area to the right of the chi-squared value of 9.329. This will give us the probability of the variance of the sample exceeding 9.329, which is 0.069.

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Fifth term of (x-3y)^6

Answers

The fifth term of the expression is 1215x²y⁴.

What is Binomial Theorem?

Binomial theorem is the method of expanding an expression consisting of two terms raised to any power.

By binomial theorem,

(x - 3y)⁶ = 6C₀ x⁶ + 6C₁ x⁵ (3y) + 6C₂ x⁴ (3y)² + 6C₃ x³ (3y)³ + 6C₄ x² (3y)⁴ + 6C₅ x (3y)⁵ + 6C₆ (3y)⁶

Simplifying the combination part,

            = x⁶ + 6x⁵(3y) + 15x⁴(3y)² + 20x³(3y)³ + 15x²(3y)⁴ + 6x(3y)⁵ + (3y)⁶

            = x⁶ + 18x⁵y + 135x⁴y² + 540x³y³ + 1215x²y⁴ + 1458xy⁵ + 729y⁶

Hence the fifth term of the expression is 1215x²y⁴.

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Suppose that you first want to eliminate the fraction in the example equation. What would your first step be? is -2 still the solution when you start by eliminating the fraction first?

Answers

The first steps of the elimination of fraction is to take LCM for the denominators.

In math the term fraction is defined as represent the parts of a whole or collection of objects

Here we have know that  first we want to eliminate the fraction in the example equation.

As we all know that the process of eliminating in fraction will follow the following steps, they are listed as follows:

First we have to take the LCM for the fractions and then we have to enter the equations.

Then we have to multiply each equation by a number to get the lowest common multiple for one of the variables.

And then we have to add or subtract the two equations to eliminate that variable .

Then we should substitute that variable into one of the equations and solve for the other variable.

Finally we have to check by substituting your answer into one of the equations,

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Draw a tape diagram that represents 5÷2/3

Answers

The numerical answer is 5

How to draw a tape diagram that represents 5÷2/3?

Start by drawing three unit tapes, and divide each one of them in 5 equal parts since we need to be dividing the quantity 3 by 3/5 (denominator 5)

In the second step, join the three tapes in one long one maintaining the original divisions.

In the third step, select groups of 3 divisions (recall you need to divide by 3/5) which will identify in your tape how many of these 3/5 groups you have.

Finally count the number of 3/5 groups you found in the collection of the three original tapes placed together. You should count a total of 5 of these 3/5 groups.

5 then tells you what is the quotient of 3 divided in 3/5

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A survey showed that ​74% of adults need correction​ (eyeglasses, contacts,​ surgery, etc. ) for their eyesight. If 21 adults are randomly​ selected, find the probability no more than that of them need correction for their eyesight. Is a significantly number of adults requiring eyesight​ correction?

Answers

7.9 x 10⁻¹¹ is the probability of people who need correction for there eyesight.Yes, it is a significantly number of adults requiring eyesight.

The probability of no more than 21 out of 21 randomly selected adults needing correction for their eyesight would be calculated using the binomial probability formula:

(n choose k) ×  [tex]p^{k}* (1-p)^{n-k}[/tex]

where n is the total number of trail. k is the number of successful trials (the number of adults not needing correction), p is the probability of a successful trial (the probability of an adult not needing correction)which is:

1-0.74 =0.26)

(n choose k) is the binomial coefficient, which is calculated by:

n! / (k! × (n-k)!).


So, the probability of no more than 21 out of 21 randomly selected adults needing correction for their eyesight would be:
(21 choose 21) ×0.26²¹ ×0.74⁰= 0.26²¹ = 7.9 x 10⁻¹¹


This is a very low probability, indicating that it is highly unlikely that no more than 21 out of 21 randomly selected adults would not need correction for their eyesight.


Yes, it is a significantly number of adults requiring eyesight correction. 74% is a high percentage.

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In the triangle ABC, AB = 6cm and BC = 9cm. Given that the area of the triangle is 18 cm², find the possible values of the angle B. ​

Answers

The angle, ∠B has 2 possible angles, one is 41.81° and the other will be 138.19°

In ΔABC we have been given that

AB = 6 cm

BC = 9 cm

A formula for the area of a triangle is

1/2 X one side X oth sde X sin(common angle)

Hence if we consider AB and BC with common angle, ∠B we get

1/2 X 6 X 9 X sinB = 18

or, sinB = 18/27

or, sinB = 2/3

Now since sin is positive in 2 quadrants, we will have 2 possible values for ∠B

one will be 41.81° and the other will be (180 - 41.81)° = 138.19°

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6) A container ship made a trip to
Madagascar and back. On the trip there it
traveled 16 km/h and on the return trip it
went 10 km/h. How long did the trip there
take if the return trip took eight hours?

Answers

The trip there take if the return trip took eight hours is 5hrs.

What is Distance?

Distance is the sum of an object's movements, regardless of direction. Regardless of an object's starting or ending position, distance can be defined as the amount of ground it has covered.

What is Rate?

A rate in mathematics is the comparison of two related values expressed in different units. The numerator of the ratio expresses the corresponding rate of change in the other (dependent) variable if the denominator of the ratio is written as a single unit of one of these quantities and it is assumed that this quantity may be modified systematically (i.e., is an independent variable).

We are given ;

A container ship made a trip to Madagascar and back

On the trip there it traveled 16 km/h.

the return trip it went 10 km/h.

if the return trip took eight hours;

then,

16x = 10 * 8

16x = 80

x = 80/16

x = 5

Therefore,  he trip there take if the return trip took eight hours is 5hrs.

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Find an equation for the line through (0, -5) and parallel to y = 1/2x + 1

Answers

Answer:

y=1/2x-5

Step-by-step explanation:

Parallel lines always have the same slope. Thus, since you know y=1/2+1 is parallel you know the slope is 1/2 as in y=mx+b, m is the slope. In addition, you know the y-intercept as -5. So the equation is y=1/2x-5

Answer:

y=1/2x-5

Step-by-step explanation:

to be parallel it needs to have the same slope so the slope is the same

0,-5 is the y intercept so -5 is the y intercept

solve for [tex]tan\frac{17\pi }{12}[/tex]

Answers

After calculating , The value of given expression is -3.73

What is Tanx in terms of sinx and cosx?

Tanx can be defined as the ratio of sinx and cosx or tanx also can be defined as the ratio opposite side and adjacent side.

Given

expression,

tan(17pi/12)

The value of pi = 180

so by putting the value we get,

tan(17*180 / 12 )

tan ( 3060 / 12 )

as we know the value of 3060/12 = 255.

tan(255)

= -3.73

so we got the value of tan(255) is -3.73 approximately

Hence, The value of given expression is -3.73

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Translate the following statements into equations and solve. Show your solution.

1. Two more than four times a number is -10.

2. One less than thrice a number is equal to 26.

3. Seven added to a certain number is 34.

Answers

Answer: 4x + 2 = -10

3x - 1 = 26

x + 7 = 34

Step-by-step explanation:

HS
Population
1200
1450
900
1500
1400
1005
# of active band members
150
155
100
125
125
120
What is the correlation coefficient? Interpret what this means for the context of this
data.

Answers

Answer:

I'm trying to figure that out to

Other Questions
a client has an open reduction and internal fixation of the hip. before transferring the client to the chair, which would the nurse do? assess the strength of the affected leg Maggie Bertone was offered a position as director of food service for the East Egg Public School District. She received a written offer of employment on the first of the month with the stipulation that the offer would be in effect until the 15th of the month. If Ms. Bertone were to accept, she was required to sign the employment contract enclosed with the offer and return it to the offices of the public school district before the 15th.Excited about the offer from the East Egg Public School District, Ms. Bertone turned down another job offer with a food distributor at an annual salary of $75,000.00. Ms. Bertone then read through the terms of the agreement with the East Egg School District. After reading the terms of the contract, Ms. Bertone decided the offered salary of $90,000.00 was too low. Accordingly, she adjusted the salary upward in the contract by $5000 and initialed and dated the change on the contract. Ms. Bertone then signed the agreement and mailed the executed document, along with a letter indicating that she was pleased to accept the offer, to the East Egg Public School Districts Administrative Offices.The School District received the correspondence and the signed contract on the 10th of the month. On the 13th of the month, the Superintendent for the District called Ms. Bertone to express his sadness that she did not take the job, at which time Ms. Bertone, realizing the salary change was too high, verbally accepted the job at the original salary offered. The Superintendent advised Ms. Bertone, however, that the District had already offered the position to someone else. Ms. Bertone filed a suit for breach of contract against the School District.Will Ms. Bertone prevail in her breach of contract action? Why or why not? Explain the potential damages that might be available if Ms. Bertone were to succeed. question mode multiple select question select all that apply the following are mechanisms to mitigate potential agency problems: multiple select question. boards of directors can force out management teams that are underperforming. outsiders can monitor the firm, making other outsiders uncomfortable in the process. poor or bad performers may be subjected to the threat of a takeover. compensation plans tie to the income of managers to the success of the firm. oxytocin and adh are produced in the posterior pituitary. what state was the last state to make martin luther king, jr. day a paid holiday? Provide an example of why cell division remains important to an adult organism even after it is fully developed. After growth, division remains important in normal cell turnover, such as in our skin and gut, where cells are continuously removed. Other cells have to divide to heal wounds like skin cuts or broken bones. If an essay question asked you to consider the role of artists in your local region, for instance, would you be able to addressevery type of artist that exists?Definately not! You would need to set limits to your essay's content by indicating which subcategories you will cover.Read the essay question that follows. Assess the ability of technology to ensure human happiness in the present society.What key words might help you to define the scope of your response? [3] 1 Summarizing the Title Circle the title of thetable. Write a one-sentence description of theinformation shown in the table. the open ocean is responsible for a large amount of the earth's net primary productivity (npp) because it contains vast expanses of phytoplankton, which are microscopic photosynthetic organisms that form the base of the oceanic food web. phytoplankton are responsible for a significant portion of the earth's npp because they are able to use sunlight and dissolved nutrients to produce organic matter through photosynthesis. additionally, the vastness of the open ocean allows for larger populations of phytoplankton to exist and thus produce more organic matter. Which of the following combinations of metabolic reactions would be expected to yield the greatest decrease in circulating (blood) fuels? You have been sent to the University of Yale to enable voice calls using a broadband connection instead of a regular analog phone line. Which of the following protocols would you apply in such a scenario? VOIP POP3 IMAP4 SIP modify the coursegrades class you created in programming challenge 5 so that it implements the following interface: public interface analyzable { double getaverage(); gradedactivity gethighest(); gradedactivity getlowest(); } TranslateASSESSMENT QUESTIONS4. Which detail best demonstrates the change inLieutenant Cross at the end of the story?A. Half-smiling, Lieutenant Jimmy Cross took out his maps B. Kiowa was right. Boom-down, and you were dead, never partly dead. C. It was very sad, he thought. The things men carried inside. The things men did or felt they had to do. D. He would dispense with love; it was not now a factor. key resources describes the most important actions a company must take to operate successfully. Differences in drug use patterns between demographic groups are thought to reflect innate, biological differences.a. Trueb. False _____ is the business practice where work is performed within an company rather than performed by an external source. if learning occurs as a result of exposure to any media, the learning is caused by the instructional method embedded in the medical presentation By the 1990s, China had departed from a capitalistic economy and shifted to a Soviet-type economy encompassing small-scale, labor-intensive industry.a. Trueb. False Krypton is a noble gas with several stable isotopes. Which of the following combinations of mass number (represented here as A) and neutrons (n) are possible as isotopes of krypton? Select all that apply:a. A=82, n=46b. A=84, n=48c. A=80, n=36d. A=86, n=49e. A=83, n=47 a newly employed nurse administrator wants to know more about the employees on the units the administrator supervises. the manager accesses the managerial database and gathers data about all of the current employees on the unit, including work shift, number of years employed, age, gender, educational preparation, certifications, work history, and professional accomplishments, analyzing the data statistically. what type of quantitative research is this?