.A function f(x) is said to have a jump discontinuity at x = a if: 1. lim x→a f(x) exists. 2. lim x→a+ f(x) exists. 3. The left and right limits are not equal. Let f(x)= 5x-7 if x>9 2/x+9 if x>9

Answers

Answer 1

the given function f(x) has a jump discontinuity at x = 9 for the first part of the function and does not have a jump discontinuity at x = 9 for the second part of the function.

A function f(x) is said to have a jump discontinuity at x = a if:

1. lim x→a f(x) exists.

2. lim x→a+ f(x) exists.

3. The left and right limits are not equal .In order to calculate the left and right limits for the function f(x)= 5x-7 if x>9 and 2/x+9 if x>9, we can use the concept of jump discontinuity. Let us calculate the left and right limits of the function f(x)= 5x-7 if x>9.

The left limit of the function is: lim_(x→9^-) (5x - 7) = -26The right limit of the function is: lim_(x→9^+) (5x - 7) = -22`Since the left and right limits of the function f(x)= 5x-7 if x>9 are not equal, it has a jump discontinuity at x = 9.

Now, let us calculate the left and right limits of the function f(x) = 2/(x+9) if x>9.The left limit of the function is: lim_(x→9^-) 2/(x+9) = -Infinity` The right limit of the function is: lim_(x→9^+) 2/(x+9) = -Infinity Since the left and right limits of the function  f(x) = 2/(x+9) if x>9 are equal, it does not have a jump discontinuity at x = 9.

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Related Questions

PLSSSS HELP IF YOU TURLY KNOW THISSS

PLSSSS HELP IF YOU TURLY KNOW THISSS

Answers

Answer:

x = 40

Step-by-step explanation:

We have to find,

→ the value of x in the equation.

The equation is,

→ (x/2) + 3 = 23

Now the value of x will be,

→ (x/2) + 3 = 23

→ x/2 = 23 - 3

→ x/2 = 20

→ x = 20 × 2

→ [ x = 40 ]

Hence, the value of x is 40.

When conducting an ANOVA, FDATA will always fall within what range? a. between negative infinity and infinity b. between 0 and 1 c. between 0 and infinity d. between 1 and infinity

Answers

The correct answer is (c) between 0 and infinity. This can be answered by the concept from F statistic.

The F statistic, which is used in ANOVA (Analysis of Variance), is calculated as the ratio of the variance between groups to the variance within groups. Since variance is always a positive value (it measures the spread or dispersion of data), the F statistic will always be greater than or equal to 0.

Furthermore, the F statistic follows an F-distribution, which is a continuous probability distribution that ranges from 0 to infinity. The F-distribution has a skewed shape, with most of the values clustered towards 0 and decreasing as the values get larger. This means that the F statistic can take on values anywhere between 0 and infinity, but it cannot be negative.

Therefore, when conducting an ANOVA, FDATA will always fall within the range of 0 to infinity.

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what is the primary function of the prefrontal cortex?

Answers

The prefrontal cortex is responsible for regulating higher cognitive functioning of the brain.

What is prefrontal cortex?

In the frontal lobe of the brain, there is a structure called the prefrontal cortex. It carries out cognitive functions like memory, attention, planning, flexibility, etc. It is regarded as the region of the brain that develops the least quickly

Prefrontal cortex is located in the frontal lobe.

The prefrontal cortex is responsible for regulating higher cognitive functioning of the brain.

Mid-twenties is when it reaches maturity. This explains why teenagers are more likely to establish harmful behaviours than younger kids and why adults are better at planning and thinking. An attention deficit and trouble remembering details can be brought on by prefrontal cortex (PFC) damage. Moreover, it may result in psychological changes, a diminished capacity for feeling, and bodily impairments associated with daily activities.

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sas, sss, aas, or not enough information

sas, sss, aas, or not enough information

Answers

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

The two sides of the triangles stated above are equal to one another and the one side in common between them, so the Correct criteria to prove them congruent is :

SSS

Figure BCDE was transformed using the composition rx-axis ◦ T2,2. If point B on the pre-image lies at (3, 4), what are the coordinates of B'' on the final image?

Answers

Answer:

The answer is "(5, -6)"

Step-by-step explanation:

Given:

The Pre-image line at point B is: (3, 4)

Solution:

\(\ rx-axis \circ \ T2,2 (3,4) \\\\\Rightarrow \ rx-axis \ ( T2,2 (3,4) )\\\\ \Rightarrow \ rx-axis ( 5,6 ) \\\\ \Rightarrow (5, -6)\\\)

The coordinates of B point is (5,-6).

Answer:

The answer would be option B. ---> (5,-6)

Step-by-step explanation:

Just got it right on Edge.

Hope this helps!

Determine the equation of a sine function that would have a range of {y|6<=y<=9} and a period of 60 degrees

Answers

Answer:

6 ^ 5743yy^€_*$%_$/_/^€^=÷/_#×

carnegie pls i need help i need to finish or i get detention

carnegie pls i need help i need to finish or i get detention

Answers

The number of pencils that Kala will have is 65 pencils.

How many pencils does Kala have?

Expressions are simply mathematical statements that contain at least two terms that are linked by an operator and contain variables.

From the information illustrated, Kala has 38 more pencils than Scott and they have 92 pencils together.

Let Scott pencil be x

Let Kala pencil be x + 38.

This will be illustrated as;

x + x + 38 = 92

2x + 38 = 92

Collect like terms

2x = 92 - 38

2x = 54

Divide

x = 54/2

x = 27

Kala will have:

x + 38

= 27 + 38

= 65

Kala has 65 pencils.

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Theodore needs to mix a 30% alcohol solution with a 50% alcohol solution to create 100 milliliters of a 32% solution. How many milliliters of each solution must Theodore use

Answers

Answer:

50 % alcohol solution = 10 millimetres

30 % alcohol solution = 90 millimetres

Step-by-step explanation:

two equations can be derived from this question

x + y = 100 equation 1

0.3x + 0.5y = 100 x 0.32 = 32

0.3x + 0.5y = 32 equation 2

where :

x = 30% alcohol solution

y = 50% alcohol solution

multiply equation 1 by 0.3

0.3x + 0.3y = 30 equation 3

subtract equation 3 from 2

0.2y = 2

y = 10

substitute for y in equation 1

x + 10 = 100

x = 100 - 10

x = 90

Given the data cleanup problem of removing 0 values from a data set, the ____ algorithm scans a list from left to right and copies every legitimate value into a new list that it creates.

Answers

The copy over algorithm algorithm scans a list from left to right and copies every legitimate value into a new list that it creates.

According to the statement

We have given that the there is a algorithm which is used to data cleanup problem of removing 0 values from a data set, and scans a list from left to right and copies every legitimate value into a new list.

and we have to explain about that algorithm.

So,

Here we given that the algorithm copies and paste the values in the new files then

the algorithm is called the copy over algorithm.

So, The copy over algorithm is a a single specimen of something that occurs in a multiple edition, such as a book, article, etc. a matter to be reproduced in print or an imitation or reproduction of an original.

So, The copy over algorithm algorithm scans a list from left to right and copies every legitimate value into a new list that it creates.

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Stefan estimates the income and expenses for renting
a phone accessory store in the mall. He enters the
amounts in the table below. Should Stefan
rent a phone accessory store? Explain.

Stefan estimates the income and expenses for rentinga phone accessory store in the mall. He enters theamounts

Answers

Answer/Step-by-step explanation:

If total income is more than total expenses, she should rent it. If the total income is less than the total expenses, she should not rent it.

Total income estimated in a month:

Sales: $950 per week = 950*4weeks = $3,800 per month

Services: $2,875 per month

Total estimated income per month = $(3,800 + 2,875) = $6,675

Total expenses estimated in a month:

Rent: $4,500 per month

Travel: $7.5 per day = 7.5*7days = $52.5 per week.

Assuming there are 4 weeks in a month, expenses for travel in a month will be:

$52.5*4 = $210

Merchandise: $1,650 per month

Total expenses estimated per month = $(4,500 + 210 + 1,650) = $6,360

Total estimated income ( > total estimated expenses in a month, therefore, Stefan should rent the phone accessory store. She will make profit.



A ladder rests against a building. The ladder is 14 ft long and forms an angle of 76.5° with the ground. Which statement is not true?

(A) The bottom of the ladder is 13.6t from the base of the building.

(B) The bottom of the ladder is 13.3ft from the base of the building.

(C) The top of the ladder touches the building 13.6 ft from the ground.

(D) The ladder forms an angle of 13.5° with the building.

Answers

The statement that is not true is (A) The bottom of the ladder is 13.6 ft from the base of the building.

Let's consider the situation described. We have a ladder resting against a building, forming an angle of 76.5° with the ground. The length of the ladder is given as 14 ft.

To find the horizontal distance between the base of the ladder and the building, we can use trigonometry. We can use the cosine function, which relates the adjacent side of a right triangle to the hypotenuse:

cos(θ) = adjacent/hypotenuse

In this case, the adjacent side represents the horizontal distance between the base of the ladder and the building, and the hypotenuse represents the length of the ladder.

Using the given values, we can plug them into the formula:

cos(76.5°) = adjacent/14 ft

Solving for the adjacent side, we have:

adjacent = 14 ft * cos(76.5°) ≈ 14 ft * 0.2486 ≈ 3.4804 ft ≈ 3.5 ft (rounded to one decimal place)

Therefore, the correct statement is that the bottom of the ladder is 13.3 ft (approximately) from the base of the building.

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Fritz can build a bookcase in 8 hours and Holly can build the same bookcase in 10 hours. After working together for 3 hours, Fritz leaves how long will it take holly to finish the bookcase by herself?

Answers

Holy will take 13/5 or 2.6 hours to finish the bookcase.

What is relation between time and work?

The relation between time and work is

Work Done = Time Taken × Rate of Work ·

or, Rate of Work = 1 / Time Taken ·

or, Time Taken = 1 / Rate of Work ·

Now it is given that,

Time taken by Fritz to build a bookcase =  8 hours

So, Bookcase build by Fritz in 1 hour = 1/8

Similarly,

Time taken by Holly to build a bookcase =  10 hours

So, Bookcase build by Holly in 1 hour = 1/10

So, bookcase build in 3 hours

Fritz = 3/8

Holly = 3/10

Total bookcase build in 3 hours =  3/8 + 3/10 =  27/40

So. remaining work =  1 - 27/40 =  13/40

Thus, Time taken by Fritz to complete the bookcase =  8 * (13/40) hours

                                                                                         =  13/5 or 2.6 hours

Thus, Holy will take 13/5 or 2.6 hours to finish the bookcase.

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Question 6: please help me out here :(((

Question 6: please help me out here :(((

Answers

Answer:

m∠1 = 106

Step-by-step explanation:

Given: m∠5 = 106

Vertical angles are congruent

The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent.

Therefore: m∠1 = 106

the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring. true/false

Answers

The given statement "the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring." is False.

The union of two events A and B represents the event that at least one of the events A or B occurs. The probability of the union of two events can be calculated using the formula:

P(A or B) = P(A) + P(B) - P(A and B)

On the other hand, the intersection of two events A and B represents the event that both events A and B occur. The probability of the intersection of two events can be calculated using the formula:

P(A and B) = P(A) * P(B|A)

where P(B|A) is the conditional probability of B given that A has occurred.

It is possible for the probability of the union of two events to be greater than the probability of the intersection of two events if the two events are not mutually exclusive.

In this case, the probability of both events occurring together (the intersection) may be relatively small, while the probability of at least one of the events occurring (the union) may be relatively high.

In summary, the probability of the union of two events occurring can sometimes be greater than the probability of the intersection of two events occurring, depending on the relationship between the events.

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this my last question for the day

this my last question for the day

Answers

Answer:

x=72

Step-by-step explanation:

Answer the question about the image.

Answer the question about the image.

Answers

Answer:

4

Step-by-step explanation:

hope this helps and have a great day

Combine like terms: 4f + 3e - 2f - e​

Answers

2f + 2e

that’s the answer

Answer:

2f + 2e

Step-by-step explanation:

4f -2f = 2f

3e - 1e = 2e

2f + 2e

A square pyramid has a base side length of 20.4 cm and a height of 18.2 cm. which square pyramid is similar? base side length = 18.2 cm, height = 20.4 cm base side length = 22.9 cm, height = 20.7 cm base side length = 30.6 cm, height = 27.3 cm base side length = 40.8 cm, height = 45.5 cm

Answers

The square pyramid that is similar to the pyramid with base side length of 20.4 cm and a height of 18.2 cm has base side length = 30.6 cm and height = 27.3 cm.

How to know similar shape?

All the corresponding angles in the similar shapes are equal and the corresponding lengths are in the same ratio.

Therefore, the corresponding length shuld have the same ratio for it to be similar.

Hence,

The ratio of the square pyramid is as follows;

base length / height = 20.4 / 18.2 = 10.2 / 9.1

Therefore, the square pyramid that is similar has base side length = 30.6 cm and height = 27.3 cm.

30.6 / 27.3 = 10.2 / 9.1

The ratio are the same

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Answer:

CCCCCCC is your answer. Juss took the tessttt

Step-by-step explanation:

Use logarithmic differentiation to find the derivative of the function. y=(ln(x+4)) x

Answers

the derivative of the function y = (ln(x + 4))x using logarithmic differentiation is given by y' = (ln(x + 4))x * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))].

To find the derivative of the function y = (ln(x + 4))x using logarithmic differentiation, we can follow these steps:

Step 1: Take the natural logarithm of both sides of the equation:

  ln(y) = ln((ln(x + 4))x)

Step 2: Use the logarithmic property ln(a^b) = b ln(a) to simplify the right-hand side of the equation:

  ln(y) = x ln(ln(x + 4))

Step 3: Differentiate both sides of the equation implicitly with respect to x:

  (1/y) * y' = ln(ln(x + 4)) + x * (1/ln(x + 4)) * (1/(x + 4))

Step 4: Simplify the expression on the right-hand side:

  y' = y * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))]

Step 5: Substitute the original expression of y = (ln(x + 4))x back into the equation:

  y' = (ln(x + 4))x * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))]

Therefore, the derivative of the function y = (ln(x + 4))x using logarithmic differentiation is given by y' = (ln(x + 4))x * [ln(ln(x + 4)) + (1/ln(x + 4)) * (1/(x + 4))].

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Two colored spinners are spun.

R: red

B: blue

G: green

Y: yellow

(A) What is the probability of getting the same colors from both spins?

Two colored spinners are spun.R: red B: blueG: greenY: yellow (A) What is the probability of getting

Answers

Visually it’s red, however it is red. 1/4 + 1/2 = red, 1/6 + 1/2 is green.
Red = 3/4 = 75%
Green = 4/6 = 2/3 = 67%

please help i don’t understand

please help i dont understand

Answers

9514 1404 393

Answer:

  3

Step-by-step explanation:

Vertical angles share a vertex point, and have opposite rays for sides. In short, they are across the point of intersection from each other. Vertical angles do not have a common side (they are not adjacent).

The first part of the problem is to identify angle NCA. That is shown in red in the attachment. The vertical angle is across the point of intersection. It is angle 3.

please help i dont understand

Question is Here. Okay

Answers

Student will kill the app and refuse to turn back to ongoing session

But session is in session history already

Even though it's not finished yet

Updates to answer are realtime

5. Mr. Griffin asked the students to form the number eighty-four million, five
hundred thirty thousand, two hundred sixteen. Ben still had the number card
with the 3. In what place was Ben standing? Show your work in the space
below. Remember to check your solution

Answers

Answer:

Ben was standing in the

Step-by-step explanation:

84 000 000

+ 00 530 000

+ 00 000 216

_________________

84 530 216

From this u can see that the 3 is in the ten thousands place

what is the equation of a circle?

Answers

ANSWER

(x - x0)² + (y - y0)² = r²

EXPLANATION

The equation of a circle with radius r and center at point (x0, y0):

is:

\((x-x_0)^2+(y-y_0)^2=r^2\)

what is the equation of a circle?

Theresa and Raul purchased a house 10 years ago for $200,000. They made a down payment of 20% of the purchase price and secured a 30 year conventional home mortgage at 6% per year compounded monthly on the unpaid balance. The house is now worth $380,000. How much equity do Teresa and Raul have in their house now (after making 120 monthly payments)? Please show all work.



2. Emon is securing a 7-year balloon mortgage for $280,000 to finance the purchase of his first home. The monthly payments are based on a 30 year amortization. If the interest rate is 2.9% per year compounded monthly, what will be his balloon payment at the end of the 7 years? Please show all work.

Answers

Theresa and Raul have approximately $264,875.60 in equity in their house after making 120 monthly payments. Emon’s balloon payment at the end of 7 years is approximately $190,347.68.

Let’s calculate the equity that Theresa and Raul have in their house now:

1. Initial purchase price: $200,000

Down payment: 20% of $200,000 = $40,000

Loan amount: $200,000 - $40,000 = $160,000

2. Monthly interest rate: 6% / 12 months = 0.06 / 12 = 0.005

Number of monthly payments: 30 years * 12 months = 360 months

To calculate the monthly payment, we can use the formula for a fixed-rate mortgage:

Monthly payment = P * r * (1 + r)^n / ((1 + r)^n – 1)

Where:

P = Loan amount = $160,000

R = Monthly interest rate = 0.005

N = Number of monthly payments = 360

Using this formula, we can calculate the monthly payment:

Monthly payment = $160,000 * 0.005 * (1 + 0.005)^360 / ((1 + 0.005)^360 – 1)

             ≈ $959.37

Now, let’s calculate the total amount paid over the 120 monthly payments:

Total amount paid = Monthly payment * Number of monthly payments

                = $959.37 * 120

                = $115,124.40

Finally, to calculate the equity, we subtract the total amount paid from the current house value:

Equity = Current house value – Total amount paid

      = $380,000 - $115,124.40

      = $264,875.60

Therefore, Theresa and Raul have approximately $264,875.60 in equity in their house now.

Now let’s calculate Emon’s balloon payment at the end of 7 years:

1. Loan amount: $280,000

2. Monthly interest rate: 2.9% / 12 months = 0.029 / 12 = 0.00242

Number of monthly payments: 7 years * 12 months = 84 months

To calculate the monthly payment, we can use the same formula as before:

Monthly payment = P * r * (1 + r)^n / ((1 + r)^n – 1)

Where:

P = Loan amount = $280,000

R = Monthly interest rate = 0.00242

N = Number of monthly payments = 360

Using this formula, we can calculate the monthly payment:

Monthly payment = $280,000 * 0.00242 * (1 + 0.00242)^84 / ((1 + 0.00242)^84 – 1)

             ≈ $1,125.32

Since the monthly payments are based on a 30-year amortization, at the end of 7 years, there will still be a remaining balance on the loan.

Remaining balance = Loan amount – (Monthly payment * Number of monthly payments)

                = $280,000 – ($1,125.32 * 84)

                ≈ $190,347.68

Therefore, Emon’s balloon payment at the end of 7 years would be approximately $190,347.68.

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Pls help me I really need it.

Pls help me I really need it.

Answers

Answer: its the first one i think

Step-by-step explanation

Answer:

87,069.6 cm³

Step-by-step explanation:

V = (4/3)πr³

r = d/2 = 55 cm/2 = 27.5 cm

V = (4/3)(3.14)(27.5 cm)³

V = 87,069.6 cm³

What is a double fact in 1st grade math?

Answers

Expression that has the same addend twice, such as 3 + 3 = 6 or 8 + 8 = 16

What do you mean by One-to-One Correspondence?

the capability of relating one object to another. For each number spoken aloud, the learner should be able to count or move one object while saying "1,2,3,4". She has not learned one-to-one correspondence if she accidentally counts an object twice or skips one of the things while counting. Before starting Giggle Facts, students must be able to match one object to each number counted.

Remind your kids that a double fact is a mathematical expression that has the same addend twice, such as 3 + 3 = 6 or 8 + 8 = 16. Give children the chance to practise combining groups of the same number using manipulatives or other classroom supplies.

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Answer:

A double expression

Step-by-step explanation:

One pipe can fill a tank in 24 minutes, a second can fill it in 8 minutes, and a third can fill it in 12 minutes. If the tank is empty, how long will the three pipes, operating together, take to fill it?

4 4/5 minutes
4 minutes
1/6 minute

Answers

Answer:

4 mins

Step-by-step explanation:

Tank 1: 24

Tank 2: 8

Tanks 3: 12

So you add them all up to equal the "work". which is one. Looks like this:

*** x/24 + x/8 + x/12 = 1 ***

multiply all by 24

x+3x+2x=24

add like terms

6x=24

divided by 6

x=4

So x=4 minutes.

:)

*** You could check by putting 4 into x by the * (stared) problem

identify the values of a, b, and c for the quadratic function in standard form y=-8x^2+6x-3

Answers

a=8. b=6 3=c is the answer

18 minus 8 times a number is equal to -6 times the number

Answers

Answer:

x = 9

Step-by-step explanation:

type out the words into numbers

18 - 8x = -6x

add 6x on both sides

18 - 2x = 0

subtract 18 on both sides

-2x = -18

divide by -1

2x = 18

divide by 2

x = 9

Hey there!

18 minus 8 times a number is equal to -6 times the number.

Let's take the number as 'x'. So, the equation we can form = 18 - 8x = -6x

Now, let's solve for x.

18 - 8x = -6x

18 = -6x + 8x

18 = 2x

18/2 = x

9 = x

Hope it helps ya!

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what are some things that are unhealthy for you? The cost of preferred stock: 36) ______ A) Decreases when tax rates increase. B) Is highly dependent on the dividend growth rate. C) Is independent of the stock's price. D) Is equal to the dividend yield. E) Is equal to the yield to maturity. During a period of 112 minutes, a music station played 40 minutes of commercials. Whatis the ratio of music they played to commercials they played? is/are clearly the highest barrier to communication. a) language; b) gender inequality; c) lack of involvement; d) perception; e) emotions Germany is the second largest European country and is slightly smaller by area than Montana, Germany has a land area of 134,835 sqaure miles and a water area of 3,011 square miles, what is the total area of germany? Why are reasons important in an argument? What is pathos definition? a furnace is basically a combination of which two types of equipment: Why were so many enslavedAfrican Americans devout Christians? What expression is not equivalent to 12x^4/4x^16 Consider a market with inverse demand given by p(Q)=30 2Q. Suppose the only potential supplier in the market is choosing whether to enter the market. If it enters, it will have costs given by C(Q)=Q 2+F, where F>0. (a) (10 points) For what values of F will the firm enter? (b) (15 points) Suppose F=145. What is the total market welfare in the economy if the company operates as a monopoly? (c) (10 points) Consider the case in (b). What are the welfare gains of the monopoly? Compare them to the welfare gains of a perfectly competitive market for this economy. Does the market benefit from the firm operating as a monopoly? Explain. A relationship in which people can be tolerant of different viewpoints and is thoughtful about the rights and feelings of others is showing the healthy relationship characteristic of: Solve for x in the triangle. Round your answer to the nearest tenth. 58, 14 An artist, Martel is known for his bright canvases awash in extraordinary color combinations. His pieces bring tens of thousands of dollars at auction, and this allows him to pay the salary of assistants, such as Brendan. An aspiring young painter, Brendan mixes paints, cleans brushes, and maintains the inventory of art supplies in Martels studio. The difference between their two positions is best described in organizational terms by saying that Martels work involves ______ task performance. The customer open order file is used to a. respond to customer queries b. fill the customer order c. ship the customer order d. authorize customer credit Which evidence does the author use to support the idea that she felt fearless? A. Two messengers, covered with dust, come to bid me fly; but here I mean to wait for him.B. Whether it will reach its destination or fall into the hands of British soldiery, events must determine.C. At this late hour a wagon has been procured, and I have had it filled with the most valuable portable articles belonging to the house.D. Our kind friend, Mr. Carroll, has come to hasten my departure and is in a very bad humor with me... What is the atomic mass of an element of two isotopes, one with mass= 64.23amu (26.0%); and one with mass= 65.32amu? Especially after Jar Jar Binks has finished doing his magic tricks each table in a database is made up of rows, called fields. Answer the 3 question in the photo[easy points]