Eleanor is working her way through school. She works two part-time jobs for a total of25 hours a week. Job A pays$6.00 per hour, and Job B pays$6.80 per hour. How many hours did she work at each job the week that she made$159.60

Answers

Answer 1

ANSWER

She worked 13 hours in Job A and 12 hours in Job B.

EXPLANATION

Eleanor works two part-time jobs.

Both jobs take a total of 25 hours a week.

Let the number of hours worked in Job A be x.

Let the number of hours worked in Job B be y.

This means that:

x + y = 25 _____(1)

Job A pays $6.00 per hour and Job B pays $6.80 per hour.

The total she made that week was $159.60.

This means that:

6 ^ x + 6.8 * y = 159.60

=> 6x + 6.8y = 159.6 _____ (2)

We have two simultaneous equations:

x + y = 25 _____ (1)

6x + 6.8y = 159.6 ___(2)

From (1), we have that:

x = 25 - y

Put that in (2):

6(25 - y) + 6.8y = 159.6

150 - 6y + 6.8y = 159.6

150 + 0.8y = 159.6

Collect like terms:

0.8y = 159.6 - 150 = 9.6

y = 9.6 / 0.8

y = 12 hours

Recall that:

x = 25 - y

=> x = 25 - 12

x = 13 hours

Therefore, she worked 13 hours in Job A and 12 hours in Job B.


Related Questions

6 weeks to 12 days answer?

Answers

Are you looking for a ratio?

One of the sides of a parallelogram has the length of 5 in. Can the lengths of the diagonals be 4 in and 3 in?

Answers

Answer:

Answer: Yes, the diagonals could be 6 and 7 in. In a parallelogram, only the opposite sides of the parallelogram are congruent.

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

1. What one needs to know

In a parallelogram, the diagonals bisect.

Triangles sides inequality, the sum of the smaller two sides in a triangle, must be greater than the measure of the larger side in that triangle.

2. Applying this knowledge

It is given that the diagonals are 4in and 3inches. Since diagonals bisect, the length of the sides of the formed triangle would be; 2in and 1.5in. If one adds these two numbers, one gets 3.5in. 3.5in is less than 5in, hence, a triangle can't have a side length of 5, and diagonals with the length of 3in and 4 in.

Suppose you are working for a regional residential natural gas utility. for a sample of 90 customer visits, the staff time per reported gas leak has a mean of 206 minutes and standard deviation 32 minutes. the vp of network maintenance hypothesizes that the average staff time devoted to reported gas leaks is 216 minutes.
at a 10 percent level of significance, what is the lower bound of the interval for determining whether to accept or reject the vp's hypothesis?

Answers

The lower bound of the interval to determine the acceptance or rejection of VP's hypothesis is less than -1.28.

To find out the lower bound of the interval to test the VP's hypothesis we need to perform a one-sample t-test.

We will list the given values first:

Sample size (n) = 90

Sample standard deviation (s) = 32 minutes

Hypothesized mean (μ) = 216 minutes

Significance level (α) =  10 % (0.10)

Sample mean (x) = 206 minutes

Calculation of t-value by using the formula:

t = (x - μ) / (s / √n)

We will substitute the known values in the above formula.

t = (206 - 216 ) / (32 / √90)

t = -10 / (32 / √90)

t = -10 / (32 - 9.487)

t ≈ -2.77

We will find the critical t-value from the t-distribution table.

As we want the lower bound, we need to search for the critical value that leaves a 10 % probability in the left tail of the distribution table.

As the significance level is 10% the critical value will be -1.28.

We have to compare the t-value calculated before with the critical t-value to find out the acceptance or rejection of VP's hypothesis.

Suppose the calculated t-value is less than the critical t-value we will reject the VP's hypothesis.  

Whereas if the calculated t-value is greater than the critical t-value then we accept the VP's hypothesis.

For the given question the calculated t-value is less than the critical t-value. (-2.77 < -1.28 )

So the rejection of VP's hypothesis takes place.

So the lower limit for the interval to determine the acceptance or rejection of VP's hypothesis is -1.28.

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Which of the following is true about the expression v3 • V12?

Answers

Answer:

I think is B.

Step-by-step explanation:

hope its help

Answer:

Option B

Step-by-step explanation:

Write an equation for a parabola with a focus (-3,6) and a directrix y=0

Answers

Answer:

A= 1/12

Step-by-step explanation:

just look up your question online and click on the first link and it will tell you all the answers you need :)

Answer:

y=1/12 (x-3)^2+3

Step-by-step explanation:

The sales tax in your city is 8.8% and an item costs $63 before tax.
How much tax would you pay on that item?
Round to the nearest hundredth or cent.
\$\

Answers

Answer:

8.8%= .088

Step-by-step explanation:

.088 *63=5.54

$5.54

According to a state​ law, the maximum amount of a jury award that attorneys can receive is given below.
​40% of the first $150,000
​33.3% of the next $150,000
​30% of the next $200,000
​24% of anything over $500,000
Let​ f(x) represent the maximum amount of money that an attorney in the state can receive for a jury award of size x. Find each of the​ following..
a.
​ f(250,000​)=$?
b.
​ f(350,000​)=?
c.
​ f(560,000​)=?

Answers

To find the maximum amount of money that an attorney can receive for different jury award sizes, we need to apply the given percentages based on the specified ranges.

To calculate the maximum amount an attorney can receive for a given jury award, we need to determine the applicable percentages for each range. For a jury award of $250,000, the first $150,000 is subject to a 40% percentage, which amounts to $60,000. The remaining $100,000 falls into the next range and is subject to a 33.3% percentage, resulting in $33,300. Adding these amounts together, the maximum amount the attorney can receive is $60,000 + $33,300 = $93,300.

Similarly, for a jury award of $350,000, the attorney can receive $60,000 + $50,000 (33.3% of $150,000) + $20,000 (30% of $200,000) = $130,000.

For a jury award of $560,000, the attorney can receive $60,000 + $50,000 + $60,000 (30% of $200,000) + $48,000 (24% of $200,000) + $32,000 (24% of $60,000) = $204,000.

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(2.74×107)+(5.6×107) whats the answer

Answers

Answer

83400000

Step-by-step explanation:

Answer:

892.38

Step-by-step explanation:

What is the actual length of the living space if the length in the scale drawing is 16. 8 in the scale

Answers

The actual length of the living area is 134.4 feet if the length in the scale drawing is 16.8 in the scale.

         

To determine the actual length of the living space from a scale drawing, we need to use the scale factor, which is the ratio of the length in the drawing to the actual length. If the length in the scale drawing is 16.8 inches and the scale is given as a ratio of 1 inch in the drawing to 8 feet in actual size, we can set up a proportion:

1 inch (drawing) / 8 feet (actual)

= 16.8 inches (drawing) / x (actual)

We can cross-multiply and simplify to find x's value:

1 inch × x = 8 feet × 16.8 inches

x = (8 feet × 16.8 inches) / 1 inch

x = 134.4 feet.

Therefore, the actual length of the living space is 134.4 feet.

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(-3 - 4n) + (9n + 6x) + (7x+5) =

Answers

Answer:

5n+13x+2

Step-by-step explanation:

simplify

−3−4n+9n+6x+7x+5

=−3+−4n+9n+6x+7x+5

Combine Like Terms:

=−3+−4n+9n+6x+7x+5

=(−4n+9n)+(6x+7x)+(−3+5)

=5n+13x+2

Answer:

the answer is 5n+13x+2

Step-by-step explanation:

just trust the answer

If anybody knows how to do this pls anwser thansdk

If anybody knows how to do this pls anwser thansdk

Answers

Answer:

Either A or B.

Step-by-step explanation:

Each number in the sequence is being added by 6.

So you can use the equation: x+6

The ninth term in the sequence would be 36 because 30+6=36

A manager drew this box-and-whisker plot to represent the ages of her 23 employees. Every employee is a different age.


Box-and-whisker plot ranging from 34 to 58 with ticks at increments of 1. Plot defined by points at 35, 42, 49, 54, 57.


How many employees are older than 54?


Enter your answer in the box.


employees

Answers

About 5 employees have ages that are older than 54 years.

What is a box plot?

A box plot provides the summary of a data using the five number summary that is minimum, lower quartile, median, upper quartile and maximum.

From the diagram, the third quartile is 54 years. Hence 75% of the employees are between 35 to 57 years.

25% are older than 54 years, hence:

Employers older than 54 years = 25% of 23 employees = 5.75

About 5 employees have ages that are older than 54 years.

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A manager drew this box-and-whisker plot to represent the ages of her 23 employees. Every employee is

Answer:

5 is the answer

Step-by-step explanation:

Someone please help me with question 3.b) ​

Someone please help me with question 3.b)

Answers

Answer:

AM = 12.87 cmCM = 8.578 cmOD = 23.66 cm

Step-by-step explanation:

Since the figure is symmetrical, angle MOA will be half of angle BOA, so will be 130°/2 = 65°. The tangent ratio is useful here. It tells you ...

  tan(MOA) = MA/OA

  AM = OA·tan(MOA) = 6·tan(65°)

  AM ≈ 12.87 . . . cm

__

Similarly, ...

  CM = 4·tan(65°)

  CM ≈ 8.578 . . . cm

__

The cosine ratio is useful for finding OD.

  cos(MOA) = OA/OM

  OM = OA/cos(MOA) = 6/cos(65°)

Similarly, ...

  DM = 4/cos(65°)

The length we want is OD, so ...

  OD = OM +DM = 6/cos(65°) +4/cos(65°) = 10/cos(65°)

  OD ≈ 23.66 . . . cm

Someone please help me with question 3.b)

Alana transformed Figure 1 to Figure 2 as shown below. Which statement accurately describes Alana's transformation?
A
Figure 2 is the image of Figure 1 after a rotation, a reflection, and a translation.

B
Figure 1 and Figure 2 are similar.

C
Figure 2 is congruent to Figure 1.

D
Figure 2 is congruent to a dilation of Figure 1 with a scale factor of 3.

Alana transformed Figure 1 to Figure 2 as shown below. Which statement accurately describes Alana's transformation?A

Answers

Answer:

Figure 1 and Figure 2 are similar

Step-by-step explanation:

Answer: A

Step-by-step explanation: Figure 2 is the image of Figure 1 after a rotation, a reflection, and a translation.

The total amount of sap y (in ounces) collected from a tree after * weeks is represented by the equation y = 3x + 8 . How much more total sap is there after 4 weeks than after 2 weeks?

Answers

At \(4\) weeks, there is \(7ounce\) more total sap present than after \(2\) weeks.

What distinguishes "weeks" from "week's"?

The apostrophe is utilized prior to the letter "s" if it is one time measurement, as in "week's". Apostrophes are placed after the letter "s" if there are many time units involved, such as weeks.

Why is a week named that?

A week is a span of seven days that was created artificially and without reference to the stars. The biblical narrative of the Creation, which states that God worked for six days before taking a day of rest on the seventh, and the ancient Israelites are widely credited with giving rise to the concept of the week.

Here, \(x=4\) and \(x=2\) is given

When \(x=4\), we get

\(y=3(4)+8\)

\(= 20\)

When \(x=2\), we get

\(y=3(2)+8\)

\(= 14\)

Difference \(=20-14=7\) ounce

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please answer I have limited time!!!!

please answer I have limited time!!!!

Answers

Answer:

First second and third

Step-by-step explanation:

A function can only have one output for every input

Answer:

2, 3, 4

Step-by-step explanation:

an input can only have 1 output

for her final​ project, stacy plans on surveying a random sample of students on whether they plan to go to florida for spring break. from past​ years, she guesses that about ​% of the class goes. is it reasonable for her to use a normal model for the sampling distribution of the sample​ proportion? why or why​ not?

Answers

It is reasonable for Stacy to use a normal model for the sampling distribution of the sample proportion. This is because, according to the Central Limit Theorem,

when the sample size is large enough (typically considered to be at least 30), the sampling distribution of the sample proportion will be approximately normal, regardless of the shape of the population distribution.

In Stacy's case, she plans on surveying a random sample of students, which implies that she will have a sufficiently large sample size. Therefore, the conditions for using a normal model are satisfied.

In conclusion, Stacy can use a normal model for the sampling distribution of the sample proportion in her survey for the final project.

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need some help here please

need some help here please

Answers

Answer:

Elimination

Step-by-step explanation:

The following system of equations can be easily solved by elimination as we can simply eliminate x-term.

Substitution will take a lot of time because you need to move to make either x-term or y-term as the subject then substitute in.

Graphing Method — You need to find the intercepts of both equations. You also have to convert into slope-intercept form which takes a lot of time.

please answer fast and explain your answer.

please answer fast and explain your answer.

Answers

Answer:

the sale price of the flip flops after tax is $12.87.

Step-by-step explanation:

To calculate the sale price of the flip flops after tax, we need to consider both the discount and the sales tax. Here's how we can calculate it:Calculate the discounted price:

The flip flops cost $15, and there is a 20% discount. To find the discounted price, we subtract the discount amount from the original price:

Discounted price = $15 - (20% of $15)

To calculate the discount amount, we multiply the original price by the discount percentage (expressed as a decimal):

Discount amount = 20% of $15 = 0.20 * $15Discounted price = $15 - (0.20 * $15)Calculate the sale price after tax:

After applying the discount, we need to calculate the sales tax on the discounted price. To do this, we add the sales tax amount to the discounted price:

Sale price after tax = Discounted price + (7.25% of Discounted price)

To calculate the sales tax amount, we multiply the discounted price by the sales tax percentage (expressed as a decimal):

Sales tax amount = 7.25% of Discounted price = 0.0725 * Discounted priceSale price after tax = Discounted price + (0.0725 * Discounted price)Now, let's substitute the values and calculate:Discounted price = $15 - (0.20 * $15) = $15 - ($3) = $12Sale price after tax = $12 + (0.0725 * $12) = $12 + $0.87 = $12.87

pls help me solve this

pls help me solve this

Answers

Answer:

Step-by-step explanation:

5\(\frac{5}{6}\) * 4\(\frac{1}{2}\)

=5*6+5/6 * 4*2+1/2

=35/6 * 9/2

=35*9/6*2

=315/12

=105/4

=26\(\frac{1}{4}\)

Solve using elimination.
2x - 3y = -1
3x + 4y = 24
a.) (0,6)
b.) (1,1)
c.) (4,3)
d.) (8,0)

Answers

The answer is C (4,3)

what is the angle of the compass direction of a line connecting your starting point to your final position measured north of west in degrees?

Answers

53.9 degree is the angle of the compass direction of a line connecting your starting point to your final position measured from north of west.

A compass is a tool for orientation and navigation that displays direction in relation to the four cardinal directions of the earth (or points). The directions north, south, east, and west are typically represented on the compass face as initialised abbreviations in a design called a compass rose. The rose can be aligned with the corresponding geographic directions when the compass is employed; for instance, the rose's "N" mark points northward. Compass roses are frequently joined with (or occasionally replaced by) marks indicating angles in degrees. East is 90° degrees, south is 180° degrees, and west is 270° degrees, with north being 0° and the angles increasing clockwise.

Here,

You started by travelling west to north.

Your entire distance from the beginning location is your hypotenuse.

\(H^{2}= P^{2}+ B^{2} \\\\H^{2}= 17.5^{2}+ 24^{2}\\\\H^{2}= 306.25+ 576\\\\H=\sqrt{882.25} \\\\=29.7 meters\)

You are moving in the northwest.

Use trigonometry now:

\(sin\alpha =\frac{B}{H}\\\\sin\alpha =\frac{24}{29.70} \\\\=0.808\\\\\alpha =53.9 degree\)

That's the angle of the compass direction.

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Solve the following problem using analytical techniques: Suppose you walk 17.5 m straight west and then 24.0 m straight north. How far are you from your starting point, & what is the compass direction of a line connecting your starting point to your final point?

What is the area of this figure?

Enter your answer in the box. Cm² 4 cm at top 5cm to right 5cm at bottom

Answers

The area of the given figure, we can divide it into two separate shapes: a rectangle and a right triangle. The area of the given figure is 30 cm².

First, let's calculate the area of the rectangle. The width of the rectangle is 5 cm, and the height is 4 cm. The area of a rectangle is given by the formula: A = length × width. Therefore, the area of the rectangle is:

Area of rectangle = 5 cm × 4 cm = 20 cm².

Next, let's calculate the area of the right triangle. The base of the triangle is 5 cm, and the height is 4 cm. The area of a triangle is given by the formula: A = 0.5 × base × height. Therefore, the area of the right triangle is: Area of triangle = 0.5 × 5 cm × 4 cm = 10 cm².

To find the total area of the figure, we add the area of the rectangle and the area of the triangle:

Total area = Area of rectangle + Area of triangle = 20 cm² + 10 cm² = 30 cm².

Therefore, the area of the given figure is 30 cm².

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Anaiah is currently consuming 20 eggplants and 30 kiwis. his marginal utility per dollar spent on the 20th eggplant is 160 utils and his marginal utility per dollar spent on the 30th kiwi is 190 utils. the price of an eggplant is $3 and the price of a kiwi is also $3. he has $180 to spend.How much is Anaiah currently spending on these goods?What are the reasons that Anaiah is behaving irrationaly?- he is not spending his entire income- he is spending to much on kiwis- he is not balancing what he spends.on each good- his marginal utility per dollar spent is not the same for both goods

Answers

a) Anaiah currently spending $150 on these goods

b) His behavior is irrational because,

option (1) He is not spending his entire income, option (2) He is spending too much on kiwis and option (3) He is not balancing his spending on each good to achieve maximum total utility.

Based on the given information, Anaiah is currently spending $150 on these goods, which is calculated by adding the total cost of eggplants and kiwis as follows:

Cost of 20 eggplants = 20 x $3 = $60

Cost of 30 kiwis = 30 x $3 = $90

Total cost = $60 + $90 = $150

Anaiah is behaving irrationally because he is not spending his entire income of $180, which means he is not maximizing his utility. Additionally, he is spending too much on kiwis, as indicated by the higher marginal utility per dollar spent on the 30th kiwi compared to the 20th eggplant.

This suggests that he would derive more satisfaction from spending more on eggplants and less on kiwis. Lastly, his marginal utility per dollar spent is not the same for both goods, which implies that he is not balancing his spending on each good to achieve the maximum total utility. Therefore, Anaiah could improve his spending behavior by adjusting his purchases to reflect a better balance of marginal utility per dollar spent on each good.

Therefore, the correct options are  option (1) He is not spending his entire income, option (2) He is spending too much on kiwis and option (3) He is not balancing his spending on each good to achieve maximum total utility.

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If three bakers can prepare 15 cakes in 60 minutes, if they continue working at the same rate, how many cakes can they make in 3 hours?

Answers

1 baker would make 45 cakes in 3 hours

All 3 bakers would make 135 cakes in 3 hours

Answer:

I believe the answer is 45 cakes

Step-by-step explanation:

60min = 1hr

15 x 3 = 45

What is 7x= -3 please help me answer this

Answers

Answer:

x=-3/7

..

......

Answer:

First of all, it's definitely going to be a negative number.

The answer is -2.333 repeating.

Step-by-step explanation:

Divide the negative 3 (-3 by 7)

Find the values of x and y.

1) x = 19.6; y = 12.0
2) x = 23.0; y = 12.0
3) x = 12.0; y = 19.6
4) x = 12.0; y = 23.0

Find the values of x and y.1) x = 19.6; y = 12.02) x = 23.0; y = 12.03) x = 12.0; y = 19.64) x = 12.0;

Answers

x=12.0; y=19.6

Option 4 is the right answer.

What are the properties of tangent of the circle?

A tangent is correctly formed only if touches the circle at only one point. A tangent never passes through a circle, that is, it never crosses the circle while entering its interior. A tangent is also not known for intersecting the circle at the two different points.

Since, in a circle the radii are equal.

So, OA=OB=x=12

Tangent to a circle is the line that touches the circle at only one point.

The length of tangents from an external point to a circle are equal.

By the theorem,

If two tangents are drawn from an external point of the circle, then they are of equal lengths.

So, AC =BC (by the theorem)

AC and BC look to be tangents- tangents to a circle from a point are congruent.

So, AC is congruent to BC.

Thus, AC=BC=y=19.6

Hence, x=12.0 and y=19.6

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The library is
14. 2
km
14. 2 km14, point, 2, start text, space, k, m, end text away from Daniel's apartment. The bus takes Daniel
11. 15
km
11. 15 km11, point, 15, start text, space, k, m, end text of the way to the library. He has to walk the remaining distance

Answers

Daniel needs to walk 3.05 km to reach the library from where the bus drops him off.

What is distance?

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

Daniel's apartment is located 14.2 km away from the library, while the bus can take him 11.15 km of the way there. This means that he has to walk the remaining distance of:

14.2 km - 11.15 km = 3.05 km

Therefore, Daniel needs to walk 3.05 km to reach the library from where the bus drops him off.

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The complete question is:

The library is 14. 2 km away from Daniel's apartment. The bus takes Daniel 11. 15 km of the way to the library. He has to walk the remaining distance. How many meters does Daniel have to walk?

Evaluate the piece-defined function for the given of x by matching the domain values with the range values

Answers

Answer:

The correct answer is:

(1) d

(2) b

(3) a

(4) c

(5) e

Step-by-step explanation:

The given problem is incomplete. Find the attachment of the full question.

According to the question,

(1)

By putting x = -2, we get

\(f(x)=(-2)^3-5\)

       \(=-8-5\)

       \(=-13\)

(2)

By putting x = 0, we get

\(f(x)=(0)^3-5\)

       \(=0-5\)

       \(=-5\)

(3)

By putting x = 3, we get

\(f(x)=8\)

(4)

By putting x = 9, we get

\(f(x)=(2)^{9-7}\)

       \(=(2)^2\)

       \(=4\)

(5)

By putting x = 11, we get

\(f(x)=(2)^{11-7}\)

       \(=(2)^4\)

       \(=16\)

Evaluate the piece-defined function for the given of x by matching the domain values with the range values

I don't understand this at all.

I don't understand this at all.

Answers

Answer:

i think the answer is A

Step-by-step explanation:

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Sitting with his back against a tree a man with a face as grey as a new army blanket was serenely smoking a corn-cob pipe. The lieutenant wished to rush forward and inform him that he was dying.Group of answer choices 4) The table represents a proportional relationship. Find the constant of proportionality and write an equation to represent the relationship. a 2 2 -1 3 3 1 10 who 12 4 Constant of proportionality Equation: Suppose a program wanted to keep track of whether a water valve is open. For this purpose, which (primitive or component) type would the programmer choose One of the leaders at the conference was .A. OttomanB. GenevaC. WilsonD. Hitler Examine the two examples of reliefs above. What type of relief sculpture is each? Justify your answers. Although there are other ways energy can be transferred from one place to another, radiation is the only way energy can get from the sun to the Earth. Why is this?A. Only radiation can cover such large distances as those between the Earth and the sun.B. Only radiation does not require matter and there are no particles in open space.C. The sun only emits energy in the form of radiation.D. Radiation is not the only way energy moves from the sun to the Earth.I believe it's C, but I'm not sure. For a certain company, the cost function for producing x items is C(x) = 40x + 250 and therevenue function for selling x items is R(x) = -0.5(x-80)^2 +3,200. The maximum capacity ofthe company is 120 items.The profit function P(x) is the revenue function R(x) (how much it takes in) minus the cost functionC(x) (how much it spends). In economic models, one typically assumes that a company wants tomaximize its profit, or at least make a profit!Answers to some of the questions are given below so that you can check your work.1. Assuming that the company sells all that it produces, what is the profit function?P(x)=________Hint: Profit=Revenue - Cost as we examined in Discussion 32. What is the domain of P(x)?Hint: Does calculating P (x) make sense when x= -10 or x = 1,000?3. The company can choose to produce either 40 or 50 items. What is their profit for each case, andwhich level of production should they choose?Profit when producing 40 items = ____Profit when producing 50 items = ____4. Can you explain, from our model, why the company makes less profit when producing 10 moreunits? What do the final books tell us about Odysseuss character? Have his earlier bravado and glory-seeking been tempered by the long journey home, or is he more or less the same? How does Hinds show this in his illustrations?Must be at least 3 sentences. Now write the slope of the reflection line and any dotted line.Slope of one of the dotted lines:Slope of the reflection line: 4343321= can you help me with this Solving by sqaure roots when the equation is equal to 0 calculating weighted competitive strength scores for a company and comparing them against Why is the expression Visiting a Website confusing? An advantage of doing experiments in the laboratory over the field setting is that ___________________________________. Consider the following single-molecule set up: Dye: N-(6-tetramethylrhodaminethiocarbamoyl)-1,2-dihexadecanoyl-sn-glycero-3phosphoethanolamine, triethylammonium salt (TRITC DHPE; T-1391, Molecular Probes) Excitation/emission:540 nm/566 nmQuantum yield: 0. 5 Objective oil index of refraction: 1. 5 Numerical aperture: 1. 3 Excitation light:514 nm,57 kW/cm 2Exposure time:5 msTransmittance Information Objective:40%Dichroic:90%Emitter:99%Tube lens:90%Camera detection efficiency:40%One-photon absorption cross section for hodamine:=10 16cm 2, the light bending angle for the objective The sample emits light in all directions (area of sphere:4 2). A conical section of this light is captured by the objective (defined by2 2(1cos)). What is the percentage of total fluorescence captured by the objective?a. 37. 5%b. 25%c. 50%d. 75% Electron can change to a higher energy level or a lower energy level. Which statement is true of electron ? A flat loop of wire consisting of a single turn of cross-sectional area 7.10 cm2 is perpendicular to a magnetic field that increases uniformly in magnitude from 0.500 T to 2.10 T in 1.07 s. What is the resulting induced current if the loop has a resistance of 1.60?