the parent function f(x)=^3√x is translated to g(x) = f(x+2)-4. which is the graph of g?​

The Parent Function F(x)=^3x Is Translated To G(x) = F(x+2)-4. Which Is The Graph Of G?

Answers

Answer 1

The graph of the translated function g(x) = f(x + 2) - 4 is graph A.

Which is the graph of the translated function?

Here we start with the parent function:

f(x) = ∛x

We have the translated function:

g(x) = f(x + 2) - 4

This is a translation of 2 units to the left and 4 units downwards.

Then we can write this function as:

g(x) = ∛(x + 2) - 4

So we need to have the critical point (change of curvature) at the point (-2, -4) instead of (0, 0) like in the parent function.

With that in mind, the correct option is A.

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Related Questions

What is the greatest number of tables that can be made? Explain how did you decide on this number?

What is the greatest number of tables that can be made? Explain how did you decide on this number?

Answers

The greatest number of tables that can be made is; 24 tables

Limiting Resources

To determine the limiting factor;

We must divide the number of all factors available by 72.

Hence, it goes that;

Only, 48/72= 0.66 balloons per chairOnly 24/72 = 0.33 flowers per chairOnly 32/72 = 0.44 candles per chair

However, it follows from the question that; the same number of centerpieces be used on each table.

Hence, the ratio of flowers per chair is lowest and hence, 72×0.33 flowers are used, 24 tables can therefore be set up.

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cuál es el resultado de
98.45 × 57.85​

Answers

Answer:

98.45 × 57.85 = 5696.3325

Step-by-step explanation:

Espero y te ayude esta respuesta :)

p
Based on the table, which best predicts the end
behavior of the graph of f(x)?
O Asx
co, f(x), and as x, f(x),
O Asx co, f(x), and as x, f(x) 44,
O As x, f(x), and as x, f(x) -
-, and as x
9
Asx - co, f(x)
f(x), a

pBased on the table, which best predicts the endbehavior of the graph of f(x)?O Asxco, f(x), and as x,

Answers

Based on the table, a relationship which best predicts the end behavior of the graph of f(x) include the following: C. as, x → ∞, f(x) → –∞, And as x → –∞, f(x) → ∞.

What is an odd function?

In Mathematics and Geometry, a function f(x) is generally considered as an odd function if the following condition holds for all x-values (both positive x-values and negative x-values) in the domain of function f(x):

-f(x) = f(-x) - f (x) = f(-x)

This ultimately implies that, the larger the x-values or independent values (domain) is, the smaller would be the y-values or output values (range). On the other hand (conversely), the smaller the x-values or independent values (domain) is, the larger would be the y-values or output values (range);

x → ∞, f(x) → –∞, And as x → –∞, f(x) → ∞.

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Represent this statement as an equation: Twice a number plus 5 is -3.

Answers

You multiply 5+3 and then you get the answer for it

The diagram shows two regular shapes

The diagram shows two regular shapes

Answers

Answer:

x = 144°

Step-by-step explanation:

In the figure given , two regular polygons are given to us. Since the polygon has five sides , it is a regular Pentagon. We know that each angle of a regular Pentagon is 108° .

So , here as per figure two regular Pentagons are attached base to base . Now , we know that,

Measure of complete angle is 360° .Measure of regular polygon's angle is 108°.

According to Question ,

⇒ 108° + 108° + x = 360°

⇒ 216° + x = 360°

⇒ x = 360° - 216°

x = 144°

Hence the value of x is 144°

What is the distance between points
(5, 5)
and
(1, 5)
on a coordinate plane?

Answers

Answer:

√[(5-1)² + (5-5)²]

√[16+0]

√(16)

+4 or -4 units

I hope this helped :D

Step-by-step explanation: for your other question

((

4

,

7

)

(

4

,

5

)

Answer:

4

Step-by-step explanation:

Research has shown that competent communicators achieve effectiveness by
a. using the same types of behavior in a wide variety of situations.
b. developing large vocabularies.
c. apologizing when they offend others.
d. giving lots of feedback.
e. adjusting their behaviors to the person and situation.

Answers

Research has shown that competent communicators achieve effectiveness by adjusting their behaviors to the person and situation (option e).

Effective communication involves being adaptable and responsive to the specific context, individual preferences, and the needs of the situation.

Competent communicators recognize that different people have different communication styles, preferences, and expectations. They understand the importance of tailoring their communication approach to effectively connect and engage with others.

This may involve using appropriate language, tone, non-verbal cues, and listening actively to understand the needs and perspectives of others.

By adapting their behaviors, competent communicators can build rapport, foster understanding, and promote effective communication exchanges. They are mindful of the social and cultural dynamics at play, and they strive to communicate in a way that is respectful, inclusive, and conducive to achieving mutual goals.

In summary, competent communicators understand that effective communication is not a one-size-fits-all approach. They adjust their behaviors to the person and situation, demonstrating flexibility and adaptability in order to enhance communication effectiveness.

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Final answer:

Competent communicators achieve effectiveness mostly by adjusting their behaviors to suit the person they are communicating with and the situation they find themselves in. While other factors, like having a broad vocabulary or giving feedback, play a part in effective communication, the former is considered the most crucial.

Explanation:

Research suggests that competent communicators achieve effectiveness mostly through adjusting their behaviors depending on the person they are communicating with and the situation they are in. This is option e. of your question. Communicating effectively involves behaviors like active listening, understanding the other person's point of view, being able to express thoughts and ideas clearly, and being polite and respectful. While a broad vocabulary (option b.) can be useful, it is not as crucial as adapting your behavior to fit the situation. Moreover, giving feedback (option d.) is a part of effective communication but not the sole defining factor. Apologizing when offending others (option c.) is also important but it doesn't necessarily make one a competent communicator. Using the same type of behavior in various situations (option a.) might not always work, as different situations and individuals require different communication styles.

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HELPPPPP NOWWWWWWWWWWWWW PLEASE

HELPPPPP NOWWWWWWWWWWWWW PLEASE

Answers

Answer:

B. SAS

Step-by-step explanation:

the line that joins the 2 triangles is considered a side, if you put an angle in between 2 sides its SAS.

The side lengths of a rectangle are described as (8x+1) feet and (3x−2) feet. Which expression represents the area of the rectangle in square feet?

Answers

Answer:

24x² - 13x -2

Step-by-step explanation:

To get the area of a rectanglenyou have to multiply the length and the width:

(8x+1) (3x−2)

Using Foil Method:

24x² -16x + 3x -2

24x² -13x -2

Each pair of shorts cost the same amount, and each T-shirt cost the same amount. What was the cost, in dollars, of 1 pair of shorts.

Each pair of shorts cost the same amount, and each T-shirt cost the same amount. What was the cost, in

Answers

Given:

Amy paid $60 pair of 1 pair shorts and 2 T-shirts

Simon paid $75 for 1 pair of shorts and 3 T-shirts

Find-:

Cost of 1 pair of shorts

Explanation-:

Let 1 pair short cost is "x"

and 1 T-shirts cost is "y"

Amy paid:

Amy paid $60 pair of 1 pair shorts and 2 T-shirts

The cost of 1 pair shorts is:

\(\begin{gathered} 1\text{ Pair cost }=x \\ \\ 2\text{ T-shirt cost}=2\times y \\ \\ 2\text{ T-shirt cost}=2y \end{gathered}\)

So,

\(x+2y=60.............(1)\)

For Simon

\(\begin{gathered} 1\text{ pair shorts = }^x \\ \\ 3\text{ T-shirt cost =}3y\text{ } \end{gathered}\)

So,

\(x+3y=75...........(2)\)

Solve both equation is:

eq(2) - eq(1)

Then,

\(\begin{gathered} (x+3y)-(x+2y)=75-60 \\ \\ x+3y-x-2y=75-60 \\ \\ y=15 \end{gathered}\)

So cost of 1 T-shirt is $15

For cost 1 pair short is:

\(\begin{gathered} x+2y=60 \\ \\ x+2(15)=60 \\ \\ x+30=60 \\ \\ x=60-30 \\ \\ x=30 \end{gathered}\)

So,

The cost of 1 pair of shorts is $30.

Some quantity of prepared pap is contained in a clay dish. If by weight of pap and container, water is two ninths, cornflour is three fifteenth, sugar is one eighteenth and the rest is the dish. By what fraction of the dish and pap is the dish alone heavier than its content pap

Answers

The dish alone is heavier than its content of pap by a fraction of 1/18. To determine the fraction of the dish that is heavier than its content of pap.

We need to find the weight of the dish alone and compare it to the weight of the pap and dish combined.

Given that the weight of the pap and container is two ninths, the weight of the cornflour is three fifteenths, the weight of the sugar is one eighteenth, and the rest is the weight of the dish.

To find the weight of the dish, we need to subtract the weights of the pap, cornflour, and sugar from the total weight of the pap and container.

Let's assume the total weight of the pap and container is represented by the fraction 1.

Weight of the pap and container: 1
Weight of the cornflour: 3/15 = 1/5 (since 3/15 simplifies to 1/5)
Weight of the sugar: 1/18
Weight of the dish: 1 - (1/5 + 1/18) = (18 - 3 - 10)/90

= 5/90

= 1/18

Therefore, the weight of the dish alone is 1/18 of the total weight of the pap and container.

To find the fraction of the dish and pap that is heavier than the pap alone, we need to compare the weight of the dish to the weight of the pap.

Weight of the dish: 1/18
Weight of the pap:

1 - 1/18 = 17/18

The fraction of the dish and pap that is heavier than the pap alone is:

(Weight of the dish)/(Weight of the dish + Weight of the pap)

= (1/18)/(1/18 + 17/18)

= 1/18 divided by 18/18

= 1/18 multiplied by 18/18

= 1/18

Therefore, the dish alone is heavier than its content of pap by a fraction of 1/18.

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Use the image below to find the missing side lengths.

Use the image below to find the missing side lengths.

Answers

Answer:

Step-by-step explanation:

Use the image below to find the missing side lengths.

If x2 + 12x + n is a perfect square trinomial,
then n =?

Answers

Answer:

The answer is n=36 Hope this helps^_^

Step-by-step explanation:

plz give brainliest and rating

What is the equation of the line –3x–2y=30 in slope-intercept form?

change the equation to : y = mx + b
Enter your answer in the box.

Answers

Answer:

y=-3/2x-15

Step-by-step explanation:

A soccer game is 90 minutes long. 36 minutes have passed. What percentage of the game has passed?​

Answers

Answer:

The answer is 40%

Step-by-step explanation:

Answer:

40% increase

Step-by-step explanation:

90 - 36 = 54

90 - 54 = 36

36 / 90 = 0.4

0.4 x 100 = 40%

28. Given M₁ = 35, M₂ = 45, and SM1-M2= 6.00, what is the value of t? -2.92 -1.67 O-3.81 2.75

Answers

The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers. To calculate the t-value, the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

Given, M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers.

To calculate the t-value,

the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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What is an equation example?

Answers

The definition and explanation of an equation are given below with an example.

in mathematics, an equation is defined as an expression that expresses equality between 2 quantities or expressions. We use equations quite a lot in our daily lives whenever we have to equate two quantities and find out how they are equal. These are used in all branches of science because of the huge purpose they serve.

in simple words it tells what we have on the Left-Hand Side of the "=" sign is the same as what we have on the right-hand side of the statement. Some examples of equations are-

E²=m²c⁴+p²c²

x²+3x-1=0

70 oranges= 7 oranges × 10 oranges

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Each triangle in the STL file is defined by the vertices and inward pointing surface normal vector True O False Since the STL file is created from the Solid Model, it can be reconverted into the original CAD model O True False Which one of the following is NOT an advantage of using lattice structure? Reducing the weight Saving the material cost Simplifying the design and manufacturing process Increasing the heat exchange area for a heat exchanger

Answers

False. Each triangle in the STL file is defined by the vertices, but not necessarily by the inward pointing surface normal vector. The surface normal vector is often calculated based on the vertex positions.

False. The STL file is a mesh representation of the CAD model, and it does not contain all the information needed to fully reconstruct the original CAD model. It lacks information such as parametric features, assembly relationships, and design intent, making it difficult to recreate the exact original model.

The option "Increasing the heat exchange area for a heat exchanger" is NOT an advantage of using a lattice structure. Lattice structures are known for their lightweight properties, material-saving benefits, and simplified design and manufacturing processes.

However, increasing the heat exchange area for a heat exchanger is not typically associated with lattice structures. Heat exchangers usually rely on other design considerations, such as fin arrays or extended surfaces, to enhance heat transfer efficiency, rather than lattice structures.

Therefore, increasing heat exchange area is not a direct advantage of lattice structures.

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URGENT HELP NEEDED!!!

Subtract the cube root of the product of x and 3y from the square of the sum of a and b.

Answers

Answer:

\((a+b)^{2}- \sqrt[3]{x . 3y}\)

Step-by-step explanation:

Subtract the cube root of the product of x and 3y from the square of the sum of a and b.  

A = The square of the sum of a and b is  \((a+b)^{2}\)

B = The cube root of the product of x and 3y is  \(\sqrt[3]{x . 3y}\)

They want us to subtract B from A so B - A, therefore the following.

\((a+b)^{2}- \sqrt[3]{x . 3y}\)  

Which table represents a function? please help I will give brainlist ​

Which table represents a function? please help I will give brainlist

Answers

Answer:

the second table on the bottom

Step-by-step explanation:

To be a function the points have to pass the horizontal line test.

When you plot the graph of a function, then draw a horizontal line across the graph. If the horizontal line touches the graph only once, then the function does have an inverse function.

negative one-third divided by five-fourths divided by negative two-fifths equals?

Answers

The solution of the division of the fraction is expressed as; -⁴/₁₅

How to divide fractions?

When dividing fractions, what will carry out first is to turn it into multiplication. Thereafter, we will make use of the multiplicative inverse (reciprocal) to multiply.

We have the expression as;

-¹/₃ ÷ ⁵/₄

By the method described above, we can say that the solution is;

-¹/₃ × ⁴/₅

= -⁴/₁₅

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A bank loaned out 16,000 ​$​, part of it at the rate of 6% per year and the rest at 14% per year. If the interest received in one year totaled 1500​$​, how much was loaned at 6%

Answers

Answer:

This question requires a comparison between two different variables 6% and 16% values.  If we let x=$ loaned on 6% loans and y=$ loaned on 16% loans, then we can relate two equations.

0.06x + 0.16y = $1500  --> referencing the interest earned from each percentage loaned.

x + y = $16000  --> referencing the total amount of money loaned out.

Rearrange either equation and substitute for a value in the other equation or use elimination to determine each individual variable.

Step-by-step explanation:

Helps pls will give brainliest which line is steeper

Helps pls will give brainliest which line is steeper

Answers

Answer:

I think its the second one.

Step-by-step explanation:

Use the solution method from this example to find a basis for the given subspace. S = span {[1 -1 0 2], [3 -5 4 8], [0 1 -2 -1]} Give the dimension of the basis. v

Answers

Answer:

Step-by-step explanation:

The dimension of the basis is {[1 0 0 2], [-1 1 0 0]}.

To find a basis for the subspace S = span {[1 -1 0 2], [3 -5 4 8], [0 1 -2 -1]}, we can use the same method as in the example. First, we put the vectors in a matrix and row-reduce it:

[1 -1 0 2]
[3 -5 4 8]
[0 1 -2 -1]

R2 - 3R1 -> R2
R3 -> R3 + 2R1

[1 -1 0 2]
[0 -2 4 2]
[0 1 -2 -1]

-1/2R2 -> R2

[1 -1 0 2]
[0 1 -2 -1]
[0 1 -2 -1]

R3 - R2 -> R3

[1 -1 0 2]
[0 1 -2 -1]
[0 0 0 0]

We can see that the last row is all zeros, so we have only two pivots and one free variable. This means that the dimension of the subspace S is 2. To find a basis, we can write the pivots as linear combinations of the original vectors:

[1 -1 0 2] = [1 0 0 2] + [-1 1 0 0]
[0 1 -2 -1] = [0 1 -2 -1]

Therefore, a basis for S is {[1 0 0 2], [-1 1 0 0]}.

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POSSIBLE POINTS: 10
length of a rectangle is 6 feet longer than the width. If the width of the rectangle is w feet long, which of the following expressions represents the
meter of the rectangle?

POSSIBLE POINTS: 10length of a rectangle is 6 feet longer than the width. If the width of the rectangle

Answers

Answer:

4w + 12

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Let

Width of the rectangle = w feet

Length of the rectangle = (w + 6) feet

Perimeter of a rectangle = 2(length + width)

= 2{(w+6) + w}

= 2(w + 6 + w)

= 2(2w + 6)

= 4w + 12

Perimeter of a rectangle = (4w + 12) feet

Sonya was making goody bags yo give her friends at her birthday .each goody bag is supposed to get 1/2 cup of m&ms.she started with 5 cups of m&ms,but then she ate 2/5 cup.Then she started portioning out 1/2 of m&ms for each bag.How many complete bags did Sonya make?

Answers

Answer:

4

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

5- 2/5= 5 - 0.4= 4.6 - How many cups she has left

4.6 ÷ 1/2 = 4.6 × 2/1 = 9.2

9.2≈9

Sonya made 9 complete bags

Hope this helps!!!

Click on each box and type in a number. Backspace to erase.Question: The ages, in years, of 6 cars in a parking lot are 6, 14, 5, 1, 8, and x. If the average (arithmetic mean) of the 6 ages is 7 years, what is the value of x ?x = 8

Answers

To find the value of x, we need to follow these steps:

1. Calculate the total sum of the ages of the 6 cars.
2. Subtract the sum of the known ages from the total sum.
3. The result will be the value of x.

Step 1: Since the average age of the 6 cars is 7 years, we multiply the average (7) by the number of cars (6) to find the total sum of ages.
Total sum of ages = 7 * 6 = 42 years

Step 2: Subtract the sum of the known ages (6, 14, 5, 1, and 8) from the total sum.
Sum of known ages = 6 + 14 + 5 + 1 + 8 = 34 years
42 (total sum of ages) - 34 (sum of known ages) = 8

Step 3: The result is the value of x.
x = 8

So the value of x is 8.

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does anyone know this (-13w^2+13)-(-2w^2)
Plato answer

Answers

Answer:

-11w^2+13

Step-by-step explanation:

(-13w^2+13)-(-2w^2)

Distribute the minus sign

-13w^2+13+2w^2

Combine like terms

-13w^2+2w^2+13

-11w^2+13

Which of the following types of harm resulting from technological innovations can engineers be held most morally blameworthy? O Foreseen harms O Foreseeable harms O Unforeseen harms O Unforeseeable harms

Answers

Engineers can be held most morally blameworthy for foreseeable harms resulting from technological innovations, engineers have a responsibility to anticipate the potential consequences of their work,

and to take steps to mitigate those consequences. If they fail to do so, and their work results in harm, they can be held morally blameworthy. When engineers develop new technologies, they have a responsibility to consider the potential consequences of their work.

They need to think about how their technology could be used, and whether it could be used to harm people or the environment.

They also need to consider how their technology could be misused, and what steps they can take to prevent misuse.

If engineers fail to consider the potential consequences of their work, and their work results in harm, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.

For example, engineers who develop new weapons systems have a responsibility to consider the potential consequences of their work. They need to think about how their weapons could be used,

and whether they could be used to kill or injure innocent people. They also need to consider how their weapons could be misused, and what steps they can take to prevent misuse.

If engineers fail to consider the potential consequences of their work, and their weapons are used to kill or injure innocent people, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.

It is important to note that engineers cannot be held morally blameworthy for unforeseeable harms. This is because they did not have the opportunity to anticipate the harm, and they could not have taken steps to prevent it.

For example, engineers who develop new medical treatments cannot be held morally blameworthy if the treatments have unforeseen side effects. This is because the engineers did not have the opportunity to anticipate the side effects, and they could not have taken steps to prevent them.

In conclusion, engineers can be held morally blameworthy for foreseeable harms resulting from technological innovations.

This is because they have a responsibility to anticipate the potential consequences of their work, and to take steps to mitigate those consequences.

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The sum of two consecutive numbers is 157.this equation, where n is the first number, represents the situation:

2n+1=157

What is the first number?

Answers


We have to find the value of the first number from the given equation 2n+1 = 157.

To solve this equation, we can use the following steps:

Subtract 1 from both sides to isolate 2n:
2n + 1 - 1 = 157 - 1
2n = 156

Divide both sides by 2:
2n/2 = 156/2
n = 78

Therefore, the first number is 78.


Given that the sum of two consecutive numbers is 157. And the equation 2n + 1 = 157 represents the situation where n is the first number. Our task is to find the first number.

To solve the above equation, we can isolate n by first subtracting 1 from both sides. This gives us the following equation:

2n + 1 - 1 = 157 - 1

Simplifying the above equation by canceling out 1 from both sides, we get:

2n = 156

Further, dividing both sides by 2 gives us the value of n:

2n/2 = 156/2

n = 78

Therefore, the first number is 78.


The first number is found to be 78 using the given equation.

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What role did the media play in the growth and expansion of the Ganado Mission?Discuss the differences in the methods of communication during that time versus the methods available today. Do you think the outcome of some of the challenges they faced would have been different with current methods of communications? Why or why not? Solve the problems. Show your work.1. Ben earns $12,800 a year. About 15% is taken out for taxes. How much is taken out for taxes?2. Manuel found a wrecked Trans-Am that he could fix. He bought the car for 65% of the original price of $7200. What did he pay for the car?3. A woman put $580 into a savings account for one year. The rate of interest on the account was 6%. How much was the interest for the year in dollars and cents?4. A student earned a grade of 80% on a math test that had 20 problems. How many problems on this test did the student answer correctly?5. There are 28 students in a class. Sixteen of those students are men. What percent of the class are women? Question 5 Which of the following is incorrect? Islamic banks prefer to be rabb al-maal, but not to be mudarib.. In Mudaraba profits are shared according to capital contribution Waqf in Muslim majority countries is primarily used in supporting mosques and orphanage. In case of Hawala, the debt assignment needs to be at par value olid caf2 is mixed into a 0.0100 m solution of naf to form a saturated solution of caf2 . what is the [ca2 ] in the resultant solution? ksp (caf2 ) Julie purchased 312 gallons of oil on Monday. On Thursday, she purchased 129 gallons of oil. What is a good estimate for the total gallons of oil Julie purchased on both days? Please show all of your work.Avagon Industries is thinking about replacing the current 2 year old computers that cost $40 million with an original life of 5 years. The cost of the new computers is $90 million. The new computers will be depreciated to zero book value using straight-line over 3 years. The existing computers has a salvage value of $5 million and a book value of $24 million. The new computers will reduce operating expenses by $38 million a year. The new computers will have a salvage value of $9 million and a book value of zero in three years. Avagon has an income tax rate of 25% & has a cost of capital of 12%.(A) Determine the initial cash flow of the investment at time 0.(B) Determine the operating cash flows of the investment for the next three years.(C) Determine the terminal cash flow of the investment.(D) Should this replacement be taken? Explain. The health care worker reminds a group of middle-aged men that they should take preventative measures to reduce the risk of cardiovascular disorders resultant from their lifestyle, which include which factor(s) What is the area of the shape below? 6 yd 5 yd 4 yd 9 yd V A perpendicular line is constructed through angle B of Triangle ABC and intersects side AC at a 90 angle throughpoint D. Select the transformations that would justify that Trangles ABD = CBD. Select all that apply.A. A reflection over BD that maps AB onto BC.B. A translation along vector AC that maps point A onto point C.C. A rotation about center B that maps BD of Triangle CBD onto BA.D. A rotation about center D that maps BD of Triangle CBD onto AD and Angle BDC onto angle ADB.E. A rotation about center D that maps CD onto AD. Then a reflection across AD that maps Angle ABD ontoAngle CBD. true or false: developed countries generally rely more on the government for investment than do developing countries. A password is formed by selecting three letters from the alphabet, followed by one number from 0 to 9. Ifrepetition is not allowed, how many potential passwords can be created?A. 156,000B.175,760C.140,400D.85 Moral Hazard ProblemMarty has been driving his Dads 20-year-old beat-up car to work and school. To embarrass him, Biff, the local bully has challenged Marty to a car race. If Marty wins, he gets $1,000 but if he loses, he pays $1,000.If Marty races using his Dads old car, Marty guesses that Biff would win 8 times out of 10. This is embarrassing! Marty is willing to pay $100 to not race at all, just to avoid the humiliation.Unknown to Biff, Martys mom, Mrs. McFly, is CFO at Luxury Cars Inc. and she often drives home in the $625,000 company Ferrari. If Marty can secretly borrow his Moms car and use that in the race, Marty guesses that he will win 9 times out of 10.There is a catch. Under racing conditions, Marty figures he has a 1 percent chance of a crash. Having an accident is independent of winning or losing. If Marty crashes his Dads car, he will pay the $500 insurance deductible. If Marty crashes his Moms car, the car will incur $200,000 in damage, but Luxury Cars Inc. is fully insured, with no deductible, so Marty would pay nothing out-of-pocket.Marty needs to consider his options.So what does Marty do?a) Marty races using his Mom's carb) Marty races using his dad's carc) Marty doesn't race Biff and is humiliatedd) Marty buys additional insurance and then races with his mom's car A card is drawn from a deck of cards, Then the card is replaced, the deck is reshuffled, second card is drawn. What is the probability of getting.1. a 3 on the first draw and a red card on the second draw?2. an ace on the first draw and a heart on the second draw?3. a queen on the first draw and a king on the second draw 4. a jack on the first draw and multiple of 5 on the second draw An electronics store sells a laptop for p. During the sales period, the shopkeeper offers a 30% discount on the initial price. A few days after the end of the sales, the shopkeeper starts the Out of All campaign to free the warehouse from inventories and applies an additional 20% discount. to. Express the final price of the computer as a fraction of p and verify that it is greater than 50% of the initial price. b. Knowing that the final price is 448, it determines the initial price p and the amount of the first discount applied. While vacationing in the prairie you go on a nature walk. First you walk 160 m south, then a coyote chases you 260 m southwest, then you walk 300 m in a direction 40 east of north. First draw an accurate graphical representation of your motion using a ruler and a protractor. Then use either trigonometry or components to find the displacement (in m) that will return you to your starting point by the most direct route. fungible goods (goods that are identical and interchangeable for the purpose of a commercial transaction) that are part of a large mass will be identified: 4. A team of scientists is digging for fossils. Theamount of soil in cubic feet that they remove isequal to 6. How many cubic feet of soil do thescientists remove?mower What is the schema that contains the database description information for mysql?. Ranger Shoe Company manufactures two types of shoes, athletic shoes and casual shoes. The cost of manufacturing 20 pairs of athletic shoes and 10 pairs of casual shoes is $750. If 25 pairs of athletic shoes and 20 pairs of casual shoes were manufactured, the cost would be $1200. How much does it cost to manufacture each type of shoe? Which of the following best describes how the UnitedStates' response to economic depression during the1930s differed from Germany's?The United States used democratic methods tocreate programs to combat economic issues.The United States limited implementation of fiscalpolicies to allow the economy to stabilize.O The United States exercised legislative authority togrant the executive unlimited economic powers.The United States minimized government financialsupport for the economy to make the economy self-regulating.