The equation for the pH of a substance is pH = -log[H], where Ht iS the concentration of hydrogen ions. A basic
solution has a pH of 11.2. An acidic solution has a pH of 2.4. What is the approximate difference in the concentration
of hydrogen ions between the two solutions?

Answers

Answer 1

Answer:

The difference in the H⁺ concentration between the two solutions is approximately equal to the H⁺ concentration of the acidic solution.

Step-by-step explanation:

The pH is given by:

[tex] pH = -log[H^{+}] [/tex]

Where:

[tex] [H^{+}][/tex]: is the concentration of hydrogen ions.

For the basic solution (pH = 11.2), the concentration of H⁺ is given by:

[tex] [H^{+}]_{b} = 10^{-pH} = 10^{-11.2} = 6.31 \cdot 10^{-12} [/tex]

And, for the acidic solution (pH = 2.4) we have:

[tex] [H^{+}]_{a} = 10^{-pH} = 10^{-2.4} = 3.98 \cdot 10^{-3} [/tex]

Hence, the difference in the concentration of H⁺ between the two solutions is:

[tex] \Delta H^{+} = [H^{+}]_{a} - [H^{+}]_{b} = 3.98 \cdot 10^{-3} - 6.31\cdot 10^{-12} = 3.98 \cdot 10^{-3} [/tex]

               

Therefore, the difference in the H⁺ concentration between the two solutions is approximately equal to the H⁺ concentration of the acidic solution.

I hope it helps you!

Answer 2

Answer:

B. 4.0 x [tex]10^{-3}[/tex]

Step-by-step explanation:

EDG2021

The Equation For The PH Of A Substance Is PH = -log[H], Where Ht IS The Concentration Of Hydrogen Ions.

Related Questions

Find the perimeter of the
polygon if ZB = D.
3 om
B
4 cm
D
5 cm
C
P = [?] cm

Answers

Answer:

16 cm

Step-by-step explanation:

4 + 4 + 3 + 5 = 16

The = sign means that B (which is 4 cm) is equal to D (which had no number)

And because it says that B = D (with the squiggly line (or a tilde)) And the L's (which means that the letters represent an angle) All you have to do is add the numbers together, and you get 16.

Sorry if I explained it badly, you at least got the answer.

(And also, if I'm wrong, please tell me.)

Answer:

P = 32 cm

Step-by-step explanation:

Im just putting the right answer up so you don't accidentally put in the wrong one.

The answer to this 6th grade summer school math question is

Answer 7.84

Answers

7.84
Steps on how I solved it
2.8x2.8= 7.8

Please kindly help

According to a newspaper article 15% more home remodeling was done in 1985 than in 1984. Professionals performed 75% of all remodeling. If $80.4 billion was spent on residential remodeling in 1985 what was the value of the work done by professionals in 1985?
(1) $ 8.4 billion
(2) $12.06 billion
(3) $20.1 billion
(4) $60 billion
(5) $60.3 billion​

Answers

Answer:

(3) $20.1 billion

Step-by-step explanation:

hope it help

Answer:

(5) $60.3 billion​

Step-by-step explanation:

simplify 3 / 8 (–2 / 7 +(–3 / 8 ×2 / 5)​

Answers

Answer:

so the answer is 0.16339

If $100 is interested at 6% compounded:
a-Annually
b-Monthly
What is the amount after 4 years? How much interest is earned?

Answers

To find the simple interest we'll plug it into one of the two available formulas. I will use both formulas so you can determine which is easiest for you, for future problems.

                                     r = I/Pt         or     I = Prt

                                     (the / represents division)

Let's define and plug.

r = the rate (we'll be solving for r)

I = the total interest earned within the time frame ($2)

P= the principal amount ($100)

t = the total time the principal accrued interest. (6 months/ .5years)

**Because this is in a monthly basis, lets change it into a year to make it easier**

we'll just divide 6 months by 12 months.

6 ÷ 12 = 0.5 years

============================================================

Let's use the first formula first. r = I / Pt

r = 2 / 100 (0.5)

100 x 0.5 = 50

We're now left with:            r = 2 / 50

Divide what we have left.

2 ÷ 50 = 0.04

This is our simple interest but we have to convert it into a percentage. To convert the decimal to the percentage, we'll move the decimal two places to the right to  make 4.0.

Therefore, our simple interest would be 4%

==========================================================

let's set up the second formula:  I = Prt

2 = 100 (r) (0.5)

2 = 50 (r)

2 ÷ 50 = 0.04

0.04 in percentage = 4%

Stuck on this question

Answers

Answer:

9262

Step-by-step explanation:

just plug in 22 for n and calculate

There is a bag filled with 3 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting 2 of the same colour?



JUST NEED THE ANSWER IN A FRACTION PLEASE

Answers

Answer:

[tex]\frac{13}{28}[/tex]

Step-by-step explanation:

Given:

Blue marbles: 3

Reb marbles: 5

Total marbles: 8

Two marbles are selected at random, one after the other with replacement.

Getting the same colour of marbles from the selection means the two marbles are both red or both blue.

(a) Probability of getting 2 marbles being red in colour

i. Probability of picking a red at the first selection:

Number of red marbles ÷ Total number of marbles

=> 5 ÷ 8 = [tex]\frac{5}{8}[/tex]

ii. Probability of picking a red at the second selection:

Number of remaining red marbles ÷ Total number of remaining marbles

Since after the first pick, the marble is not replaced, the remaining red marbles is 4 while the total number of remaining marbles is 7

=> 4 ÷ 7 = [tex]\frac{4}{7}[/tex]

iii. The probability of getting both marbles being red is the product of i and ii above. i.e

[tex]\frac{5}{8}[/tex] x [tex]\frac{4}{7}[/tex] = [tex]\frac{5}{14}[/tex]

(b) Probability of getting 2 marbles being blue in colour

i. Probability of picking a blue at the first selection:

Number of blue marbles ÷ Total number of marbles

=> 3 ÷ 8 = [tex]\frac{3}{8}[/tex]

ii. Probability of picking a blue at the second selection:

Number of remaining blue marbles ÷ Total number of remaining marbles

Since after the first pick, the marble is not replaced, the remaining blue marbles is 2 while the total number of remaining marbles is 7

=> 2 ÷ 7 = [tex]\frac{2}{7}[/tex]

iii. The probability of getting both marbles being blue is the product of i and ii above. i.e

[tex]\frac{3}{8}[/tex] x [tex]\frac{2}{7}[/tex] = [tex]\frac{3}{28}[/tex]

(c) Probability of getting 2 marbles of the same colour.

The probability of getting 2 marbles of same colour is the sum of the probability of getting both marbles of red colour and the probability of getting both marbles as blue colour. i.e The sum of a(iii) and b(iii)

[tex]\frac{5}{14}[/tex] + [tex]\frac{3}{28}[/tex] = [tex]\frac{13}{28}[/tex]

The probability of getting 2 of the same colour is [tex]\frac{13}{28}[/tex]

Here are two steps from the derivation of the quadratic formula.

What took place between the first step and the second step?

Answers

Answer:

Factoring a perfect square trinomial.

Step-by-step explanation:

The left side was able to be simplified via factoring.


Find the distance from the vertices of AABC to the corresponding vertices of the other three triangles, and enter them in the table. For AJKL-
you'll need to use the distance formula da (01 – 12) + (y1 - y2) . Verify your calculations using the tools available in GeoGebra.

Answers

Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as the vertices of the triangle are not given.

A general explanation is as follows;

To calculate distance between two points, we use:

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

Take for instance;

[tex]A = (1,4)[/tex]

[tex]B = (3,-2)[/tex]

Distance AB is:

[tex]AB = \sqrt{(1 - 3)^2 + (4 - -2)^2}[/tex]

[tex]AB = \sqrt{(- 2)^2 + (4 +2)^2}[/tex]

[tex]AB = \sqrt{(- 2)^2 + (6)^2}[/tex]

Evaluate the exponents

[tex]AB = \sqrt{4 + 36}[/tex]

[tex]AB = \sqrt{40}[/tex]

[tex]AB = 6.32[/tex]

Answer:

for edmentum

Step-by-step explanation:

Find the values of x and y that make these triangles congruent by the HL theorem

Answers

Answer:

x = 3, y = 2

Step-by-step explanation:

As due to congruency,

x + 3 = 3y

[By putting the values of x = 3 and y = 2]

=> 3 + 3 = 3 × 2

=> 6 = 6

and,

x = y + 1

[By putting the values of x = 3 and y = 2]

=> 3 = 2 + 1

=> 3 = 3

Hence, proved

Solve 7 pleaseeeeeeeeeeeeeeeee

Answers

Answer:

5040

Step-by-step explanation:

I assume you really mean 7!

you understand what "!" means ?

n! = n×(n-1)×(n-2)×(n-3)×...×3×2×1

so,

7! = 7×6×5×4×3×2×1

now all you need is a calculator.

7! = 5040

Suppose a tank contains 400 gallons of salt water. If pure water flows into the tank at the rate of 7 gallons per minute and the mixture flows out at the rate of 3 gallons per minute, how many pounds of salt will remain in the tank after 16 minutes if 28 pounds of salt are in the mixture initially? (Give your answer correct to at least three decimal places.)

Answers

Answer:

Step-by-step explanation:

This is a differential equation problem most easily solved with an exponential decay equation of the form

[tex]y=Ce^{kt}[/tex]. We know that the initial amount of salt in the tank is 28 pounds, so

C = 28. Now we just need to find k.

The concentration of salt changes as the pure water flows in and the salt water flows out. So the change in concentration, where y is the concentration of salt in the tank, is [tex]\frac{dy}{dt}[/tex]. Thus, the change in the concentration of salt is found in

[tex]\frac{dy}{dt}=[/tex] inflow of salt - outflow of salt

Pure water, what is flowing into the tank, has no salt in it at all; and since we don't know how much salt is leaving (our unknown, basically), the outflow at 3 gal/min is 3 times the amount of salt leaving out of the 400 gallons of salt water at time t:

[tex]3(\frac{y}{400})[/tex]

Therefore,

[tex]\frac{dy}{dt}=0-3(\frac{y}{400})[/tex] or just

[tex]\frac{dy}{dt}=-\frac{3y}{400}[/tex] and in terms of time,

[tex]-\frac{3t}{400}[/tex]

Thus, our equation is

[tex]y=28e^{-\frac{3t}{400}[/tex] and filling in 16 for the number of minutes in t:

y = 24.834 pounds of salt

Land costing $140,000 was sold for $173,000 cash. The gain on the sale was reported on the income statement as other income. On the statement of cash flows, what amount should be reported as an investing activity from the sale of land?

Answers

Answer:

Amount should be reported in investing activities = $173,000

Step-by-step explanation:

Given:

Amount of land costing = $140,000

Sold amount of land = $173,000

Find:

Amount should be reported in investing activities

Computation:

Amount should be reported in investing activities = $173,000

The cash flow statement shows how much money is coming in and going out. The whole amount of cash received, which is 173,000 dollars, will be recorded as proceeds from the sale of land in the investment activity. As a result, the right answer is 173,000.

Previous Question Question 17 of 20 Next Question Based on the regression model, the expected daily production volume with 112 factory workers is 118,846 units. The human resource department noted that 123,415 units were produced on the most recent day on which there were 112 factory workers. What is the residual of this data point

Answers

Answer:

4,569 units

Step-by-step explanation:

Given :

Measured value = 123,415 units

Expected value = 118,846 units

Residual is the difference between the measured and expected value :

Residual = Measured value - Expected value

Residual = 123,415 units - 118,846 units

Residual = 4,569 units

Sam works at a shoe store. He earns $300 every week plus $15 for every pair of shoes that he sells. How many pairs of shoes would he need to sell to make $500 in a week?

Answers

Answer:

300 + 15x = 500

15x = 200

x = 200/15

x=13.333

14 pair of shoes

Step-by-step explanation:

An art history professor assigns letter grades on a test according to the following scheme. A: Top 13% of scores B: Scores below the top 13% and above the bottom 56% C: Scores below the top 44% and above the bottom 21% D: Scores below the top 79% and above the bottom 9% F: Bottom 9% of scores Scores on the test are normally distributed with a mean of 79.7 and a standard deviation of 8.4. Find the numerical limits for a B grade. Round your answers to the nearest whole number, if necessary.

Answers

Answer:

The numerical limits for a B grade are 81 and 89, that is, a score between 81 and 89 gets a B grade.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Scores on the test are normally distributed with a mean of 79.7 and a standard deviation of 8.4.

This means that [tex]\mu = 79.7, \sigma = 8.4[/tex]

B: Scores below the top 13% and above the bottom 56%

So between the 56th percentile and the 100 - 13 = 87th percentile.

56th percentile:

X when Z has a p-value of 0.56, so X when Z = 0.15. Then

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.15 = \frac{X - 79.7}{8.4}[/tex]

[tex]X - 79.7 = 0.15*8.4[/tex]

[tex]X = 81[/tex]

87th percentile:

X when Z has a p-value of 0.87, so X when Z = 1.13.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.13 = \frac{X - 79.7}{8.4}[/tex]

[tex]X - 79.7 = 1.13*8.4[/tex]

[tex]X = 89[/tex]

The numerical limits for a B grade are 81 and 89, that is, a score between 81 and 89 gets a B grade.

Optimal-Eats blender has a mean time before failure of 37 months with a standard deviation of 5 months, and the failure times are normally distributed. What should be the warranty period, in months, so that the manufacturer will not have more than 7% of the blenders returned

Answers

Answer:

The warranty period should be of 30 months.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Optimal-Eats blender has a mean time before failure of 37 months with a standard deviation of 5 months.

This means that [tex]\mu = 37, \sigma = 5[/tex]

What should be the warranty period, in months, so that the manufacturer will not have more than 7% of the blenders returned?

The warranty period should be the 7th percentile, which is X when Z has a p-value if 0.07, so X when Z = -1.475.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.475 = \frac{X - 37}{5}[/tex]

[tex]X - 37 = -1.475*5[/tex]

[tex]X = 29.6[/tex]

Rounding to the nearest whole number, 30.

The warranty period should be of 30 months.

A rectangular vegetable garden will have a width that is 3 feet less than the length, and an area of 54square feet. If x represents the length, then the length can be found by solving the equation: x(x-3)=54 What is the length, x, of the garden? The length is blank feet.

Answers

Answer: 9 feet

Step-by-step explanation:

From the information given, we have already been given the equation which is x(x-3)=54. Therefore we will find the value of x which will be:

x(x-3)=54

x² - 3x - 54

x² - 9x + 6x - 54

x(x - 9) + 6(x - 9)

Therefore,

(x - 9) = 0

x = 0 + 9

x = 9

The length is 9 feet

The width will be:

x - 3 = 9 - 3 = 6 feet

Julie and Mona know that that Earth’s average distance from the Sun is approximately 93 million miles and it takes 1 year to complete an orbit of the Sun. A new asteroid has been discovered orbiting the Sun at an average distance of 1,488 million miles. How long will it take for the asteroid, in Earth years, to complete one orbit of the Sun.

Answers

Answer:

16 years

Step-by-step explanation:

Given that :

Earth's distance from sun = 93 million miles

Number of years to complete an orbit = 1 year

Average orbiting distance of new asteroid = 1488 million miles

Number of years to complete an orbit = x

93,000,000 Miles = 1

1488000000 miles = x

Cross multiply :

93000000x = 1488000000

x = 1488000000 / 93000000

x = 16 years

Period taken to orbit the sun = 16 years

Answer: 64 Earth years...

John runs a computer software store. Yesterday he counted 125 people who walked by the store, 58 of whom came into the store. Of the 58, only 21 bought something in the store. (Round your answers to two decimal places.)
(a) Estimate the probability that a person who walks by the store will enter the store.
(b) Estimate the probability that a person who walks into the store will buy something.
(c) Estimate the probability that a person who walks by the store will come in and buy something.
(d) Estimate the probability that a person who comes into the store will buy nothing.

Answers

Answer:

a) 0.46 = 46% probability that a person who walks by the store will enter the store.

b) 0.36 = 36% probability that a person who walks into the store will buy something.

c) 0.17 = 17% probability that a person who walks by the store will come in and buy something.

d) 0.64 = 64% probability that a person who comes into the store will buy nothing.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

(a) Estimate the probability that a person who walks by the store will enter the store.

58 out of 125. So

[tex]p = \frac{58}{125} = 0.46[/tex]

0.46 = 46% probability that a person who walks by the store will enter the store.

(b) Estimate the probability that a person who walks into the store will buy something.

58 walked, 21 bought. So

[tex]p = \frac{21}{58} = 0.36[/tex]

0.36 = 36% probability that a person who walks into the store will buy something.

(c) Estimate the probability that a person who walks by the store will come in and buy something.

21 came in and bought out of 125 that walked by. So

[tex]p = \frac{21}{125} = 0.17[/tex]

0.17 = 17% probability that a person who walks by the store will come in and buy something.

(d) Estimate the probability that a person who comes into the store will buy nothing.

0.36 probability that a person buys something, so 1 - 0.36 = 0.64 = 64% probability that a person who comes into the store will buy nothing.

7 women can bake 100 cookies in 14 days. How many would it take for 4 women to bake 240 cookies?

Answers

Answer:

it would take 30 and a half days to make 240 cookies

Divide: (2n3+4n−9)÷(n+2).

Answers

Answer:

2n+2

_____

9 2n

Match the y coordinate with coo responding pairs of x

Answers

Answer:◎ See the attachment photo.

◎ Don't forget to thanks◎ Mark as brainlist.

The graph below is the graph of a function.
10
- 10
10
- 10
True
B. False

Answers

Answer:

hgfyjtdjtrxgfyfguktfkgh

Step-by-step explanation:

hgfytrdutrc

In a survey, 250 adults and children were asked whether they know how to
swim. The survey data are shown in the relative frequency table.
Can swim
Cannot swim
Total
0.34
Adults
Children
0.06
0.48
0.12
Total
What percentage of the people surveyed can swim?
O A. 18%
B. 82%
C. 48%
D. 34%

Answers

Answer:

B - 82%

Step-by-step explanation:

.34+.48

The percentage of people who can swim is 82%.

Option B is the correct answer.

What is a percentage?

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying it by 100.

The percentage change is also calculated using the same method.

In percentage change, we find the difference between the values given.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

The relative frequency table shows the proportion of people in each group who can and cannot swim.

To find the percentage of people who can swim, we need to add up the proportion of adults who can swim (0.34) and the proportion of children who can swim (0.48).

Percentage of people who can swim

= (0.34 + 0.48) x 100%

= 82%

Therefore,

The percentage of people who can swim is 82%.

Learn more about percentages here:

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How do I find the image after it’s been rotated 270 degrees about the point (-2,-1)?

Answers

Answer: (-1, 2)

Step-by-step explanation:

It's a counter-clockwise rotation, that means (x, y) changes to (y, -x).

(-2, -1) ⇒ (-1, -(-2)) ⇒ (-1, 2)

If it's a clockwise rotation, then (x, y) will change to (-y, x)

(-2, -1) ⇒ (-(-1), -2) ⇒ (1, -2)

Andrew wants to build a square garden and needs to determine how much area he has for planting the perimeter of the garden is between 12 and 14 feet what is the range if the possible areas

Answers

Answer:

9 ft^2 and 12.25 ft^2

Step-by-step explanation:

We need to figure out the area for a square with a perimeter of 12 feet and 14 feet.

A square has four sides that are all equal in length, therefore:

12/4 = 3

14/4 = 3.5

3 and 3.5 are the individual side lengths of the garden, so to find the area, we just multiply those numbers by themselves (since it is a square garden).

3*3 = 9

3.5*3.5 = 12.25

Therefore, the answer is 9 ft^2 and 12.25 ft^2

On a coordinate plane, points (0.5, 2), (4, 16), and (6.5, 26) are plotted.
Natalie made a graph showing these ordered pairs representing a proportional relationship.

(0.5, 2), (4, 16), (6.5, 26)

Which ordered pair would be on the same line as Natalie’s ordered pairs?
(3.5, 12)
(2, 4)
(8, 32)
(12, 36)

Answers

Answer:

(8,32)

Step-by-step explanation:

(8,32) because when graphed (8,32) lands on the same line as the other.

Answer:

C

Step-by-step explanation:

got it right on edge 2021

help me with 2 excersise , thanks a lot

Answers

Answer: I do not know what you mean, but you could do burpees, and sit ups.

the product of ten and the sum of two and a number is five times the number. find the number

Answers

Answer:

-4

Step-by-step explanation:

10(2+n)=5n

20+10n=5n

20=-5n

-4=n

The number is n = -4.

What is the product of ten and the sum of two and a number is five times the number?

Given: the product of ten and the sum of two and a number exists five times the number.

Let x be the unknown number:

The product of 5 and the sum of two and the number = 10(2+n)

five times the number = 5n

10(2+n) = 5n

Expand 10(2+n) = 20+10n

20+10n = 5n

Subtract 20 from both sides

20+10n-20 = 5n-20

Simplify

10n = 5n-20

Subtract 5n from both sides

10n-5n = 5n-20-5n

Simplify

5n = -20

Divide both sides by 5

[tex]$\frac{5 n}{5}=\frac{-20}{5}[/tex]

n = -4

Therefore, the correct answer is n = -4.

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__________ benchmark and monitor the status of key system files and detect when an intruder creates, modifies, or deletes monitored files. Canton Company sells a motor that carries a 60-day unconditional warranty against product failure. From prior years' experience, Canton estimates that 3% of units sold each period will require repair at an average cost of $160 per unit. During the current period, Canton sold 100,000 units and repaired 2,400 of those units. (a) How much warranty expense must Canton report in its cur Suppose the random variables X, Y, and Z have the following joint probability distribution. x y z f ( x , y , z ) 1 1 1 0.05 1 1 2 0.10 1 2 1 0.15 1 2 2 0.20 2 1 1 0.20 2 1 2 0.15 2 2 1 0.10 2 2 2 0.05 Determine the conditional probability distribution of X given that Y Metaphors or similes for naivety o Help pls ty!Adios!Bye What is the slope of the line? What is the y-intercept of the line? y = 1 Pls help plz help pls plz help plz plz help Recognizing religious holidays, differing modes of dress, and dietary restrictions as well as allowing flexible scheduling are all ways to improve employee retention that may appeal to diverse employees. These types of efforts are referred to as resolver: [5+(-3+6)+(-2)]-[(-4+10)+(-3)-(-5)] Which of the following was NOT explained by Dalton's atomic theory?ANSWER:A. the Law of Multiple ProportionsB. the difference between elements and compoundsC.?the difference between isotopes of an elementD. the Law of Conservation of Mass Suppose that Michelle buys a cappuccino from Paul's Cafe and Bakery for $4.75. Michelle was willing to pay up to $6.75 for the cappuccino and Paul's Cafe and Bakery was willing to accept S1.25 for the cappuccino. Based on this information, answer the questions below. Michelle's consumer surplus is equal to: _______Paul's Bakery's producer surplus is equal to:__________ 1. As far as I remember, most of last September was sunny and hot. But this might have been an exception and so my advice is that you___ some warm clothes with you.A. might have taken B. should take C. oughtn't to take D. should have taken 2. It is to claim, as some journalists do, that the accident was due to an extraordinary coincidence, and at the same time that___ we it. A. might have prevented B. could prevent C. ought to prevent D. were to prevent Pete was angry ____ the chickens in the yard. At or with The Trailer division of Baxter Bicycles makes bike trailers that attach to bicycles and can carry children or cargo. The trailers have a retail price of $107 each. Each trailer incurs $44 of variable manufacturing costs. The Trailer division has capacity for 24,000 trailers per year and incurs fixed costs of $560,000 per year. Required: 1. Assume the Assembly division of Baxter Bicycles wants to buy 5,600 trailers per year from the Trailer division. If the Trailer division can sell all of the trailers it manufactures to outside customers, what price should be used on transfers between Baxter Bicycles's divisions Is the proportion 28/16 = 14/8 correct White blood cells work by recognizing invading pathogens by their surface fragments, called __________. What would be the return on total assets of a firm if net income is $50,000, total sales are $100,000, and total assets are $175,000 If a semi circle has a diameter of 5 m what is the area? Six pounds of grapefruit costs $3.00. 5 pounds of apples costs 2.65. What is the cost per pound for each fruit? The Age of Exploration contributed to the emergence of a connected globaleconomy by:O A. shifting control over trade from private corporations to powerfulgovernments.O B. enabling the movement of huge numbers of people and productsacross oceans.C. allowing powerful Central Asian empires to regulate trade betweenEurope and Asia.O D. encouraging European states to import most of their goods fromforeign countries.