What’s the correct answer for this?

Whats The Correct Answer For This?

Answers

Answer 1

Answer:

1) Antonio's statement

2) <A = 123

Step-by-step explanation:

1) Antonio's statement is incorrect. This is because the opposite angles of a quadrilateral add up to 180°. Erin was incorrect because the opposite angles of this quadrilateral are unequal.

2) 2x+7+5x-2 = 180° (opposite angles of quadrilateral)

Now

7x+5 = 180

7x = 175

x = 25

<A = 5x-2

= 5(25)-2

= 125-2

= 123


Related Questions

The figure shows three lines that intersect at point N.

3 lines intersect. Lines G K and J M intersect at point N to form a right angle. Line H L intersects the other lines at point N. Angle H N G is 48 degrees.
Angle GNH is congruent to angle KNL. Angle MNL is complementary to angle KNL. What is the measure of angle MNL?

42°
48°
132°
138°

Answers

Answer

The figure shows three lines that intersect at point N.

3 lines intersect. Lines G K and J M intersect at point N to form a right angle. Line H L intersects the other lines at point N. Angle H N G is 48 degrees.

Angle GNH is congruent to angle KNL. Angle MNL is complementary to angle KNL. What is the measure of angle MNL?

42°

48°

132°

138°

Step-by-step explanation:

42

The required measure of angle MNL is 42°. Option A is correct.

3 lines intersect lines G K and J M intersect at point N to form a right angle. Line H L intersects the other lines at point N. Angle H N G is 48 degrees. Angle GNH is congruent to angle KNL. Angle MNL is complementary to angle KNL. What is the measure of angle MNL is to determine

What is the angle?

The angle can be defined as the one line inclined over another line.
unit of measure of an angle is degree and radians.

Angle GNH is congruent to angle KNL.
∠KNL = 48°
Angle MNL is complementary to angle KNL
Since angle MNK = 90°
∠MNL + ∠KNL = 90°

∠MNL = 90-48
∠MNL = 42°

Thus, the required measure of angle MNL is 42°. Option A is correct.

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What are the factors of this quadratic function?

Answers

Answer:

A. x-1 and x-5

Step-by-step explanation:

zeros are 1 and 5

so the factors are:

x-1 and x-5

Option A is correct

The following data summarizes results from 945 pedestrian deaths that were caused by accidents. If one of the pedestrian deaths is randomly​ selected, find the probability that the pedestrian was intoxicated or the driver was intoxicated.

Pedestrian
intoxicated not intoxicated
Driver intoxicated 64 68
not intoxicated 292 521

Answers

Answer:

37.67% probability that the pedestrian was intoxicated or the driver was intoxicated.

Step-by-step explanation:

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

In this question:

945 accidents.

In 64 of them, the pedestian was intoxicated.

In 292 of them, the driver was intoxicated.

Probability that the pedestrian was intoxicated or the driver was intoxicated.

(64+292)/945 = 0.3767

37.67% probability that the pedestrian was intoxicated or the driver was intoxicated.

What is a unit rate?
A) a rate with one in the numerator
B) a rate in which the numerator and the denominator are equal
C) a rate with one in the denominator
D) a rate in which the denominator is greater than the numerator

Answers

A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.

Hey there! Welcome to Brainly! I"m happy to help!

The unit rate is how much there is of something per  one unit. The word per basically means divided or a fraction. So, if something was a, the unit rate would be a/1.

Therefore, the unit rate is C) a rate with one in the denominator.

I hope that this helps! Have a wonderful day!

Help on this question please!!!

Answers

Answer:

Hello! Here is your answer

Step-by-step explanation:

112=4(28)

a=4b

You can only have one variable so:

Combine b to a:

a-b=84

4b-b=84

Divide both sides by 3:

3b/3=84/3

b=28

But that is not it:

Sum of both cards:

a+b

a=112

b=28

112+28=140

          = 140

I hope I was of help.  If not please let me know! Thank you! Good luck!

Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.

Answers

Answer:

-3/4

Step-by-step explanation:

Find two points on the line

(0,1) and (-4,4)

We can use the slope formula

m = (y2-y1)/(x2-x1)

   = (4 -1)/(-4 -0)

    = 3/-4

    = -3/4

A recent article1 claims that "Green Spaces Make Kids Smarter." The study described in the article involved
2623 schoolchildren in Barcelona. The researchers measured the amount of greenery around the children's schools, and then measured the children's working memories and attention spans. The children who had more vegetation around their schools did better on the memory and attention tests.

(a) What are the cases in this study?

(b) What is the explanatory variable?

(c) What is the response variable?

(d) Does the headline imply causation?

(e) Is the study an experiment or an observational study?

(f) Is it appropriate to conclude causation in this case?

Answers

Answer:

Cases : 2623 school children , Explanatory Variable : Greenery or Vegetation around school , Response Variable : Children's Memory & attention spans , Yes  causation, Observational study

Step-by-step explanation:

a) Cases refers to the people or units of population studied in the research. In this case, it is sample of 2623 school children in Barcelona

b) Explanatory variable is variable which leads to, or causes the change in other variable. In this case, it is greenery or vegetation around researched students' schools

c) Response variable is the variable which is affected due to change in independent explanatory variable. In this case, it is children's working  memory & attention spans

d) Yes, the headline implies causation. As it implies cause effect relationship of greenery around children's school on their working memory & attention spans.

e) It is an observational study, as it observes the variables relationship as it is, without any specific experimental intervention.

The number of seconds, t it takes for an object to fall a distance of d meters can be found using the formula t=2dg−−√, where g is the constant acceleration due to gravity, 9.8msec2. How many meters does an object fall in 5 seconds? Round your answer to the nearest whole number.

Answers

Answer:

d = 61.25 m

Step-by-step explanation:

The number of seconds, t it takes for an object to fall a distance of d meters can be found using the formula :

[tex]t=2\sqrt{\dfrac{d}{g}}[/tex] .....(1)

It is required to find the distance covered by ab object in 5 seconds

Solving equation (1) for d. So,

[tex]d=\dfrac{t^2g}{4}[/tex]

Putting all the values we get :

[tex]d=\dfrac{(5)^2\times 9.8}{4}\\\\d=61.25\ m[/tex]

So, the distance covered by the object is 61.25 m.

The object will fall at a distance of 122.5 meters.

What is acceleration?

Acceleration is the rate of change of velocity with time, both in terms of speed and direction.

Given that, t = √(2d/g).

t = √(2d/g

t√(g/2) = √d

t²(g/2) = d

Or, d = t²(g/2)

Substitute g = 9.8 and t = 5:

d = 5²(9.8/2)

d = 122.5 meters

Hence, the object will fall at a distance of 122.5 meters.

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you will get alot of points if you answer this explain your answer

Answers

Answer:

The surface area of stand is 46 feet.

First

taking the upper rectangular prism only.

so we get

l=3

w=1

h=3

surface area of rectangular prism = 2lw+2lh+2hw

= 2×3×1+2×3×3+2×3×1

= 30

taking the lower rectangular prism only.

surface area of rectangular prism = 2lw+2lh+2hw

=2×7×2+2×1×7+2×2×1

=46

add both the rectangular prism.

we get,

30+46

76

Yes, $15 is enough

Taking out the square of all the rectangle the total would be 52m²

52/25×6.79 ( as 6.79 dollars for 25 m²)

$14.1232

Answer:

freecoins

Step-by-step explanation:

please need help asap!

Answers

Answer:

2/8 or 1/4

Step-by-step explanation:

There are 4 sections so if you spin it twice, we would double it so we have 2/8 and simplified to 1/4

I hope it helps you!

Consider the following quadratic equation: 25x2=36 Using the standard form ax2+bx+c=0 of the given quadratic equation, factor the left hand side of the equation into two linear factors.

Answers

Answer:

  (5x -6)(5x +6) = 0

Step-by-step explanation:

Subtract 36 to put the equation in standard form. In this form, it looks like the difference of squares, so can be factored as such.

  25x^2 -36 = 0

  (5x)^2 -6^2 = 0

  (5x -6)(5x +6) = 0

find the perimeter of of the shaded figure. ? units

Answers

Answer:

38 Units

Step-by-step explanation:

7 each down each side

10 each across top and bottom

2 more for each indent on bottom

7+7+10+10+2+2

14+20+4

38

as a last-minute deal Don and Mary booked a 7 day cruise for a total of $670 if the normal price for a couple is $1340, what discount percent did Don and Mary recieve?​

Answers

Answer:

Don and Mary received a discount of 50%.

Step-by-step explanation:

Initially, we use a rule of three to find the percentage of the initial price that they paid.

The discount is 100% subtracted by the percentage they paid.

Percentage they paid:

The normal price for a couple is $1340, which is 100%.

They paid $670, which is x%. We have to find x.

$1340 - 100%

$670 - x%

[tex]1340x = 100*670[/tex]

[tex]x = \frac{100*670}{1340}[/tex]

[tex]x = 50[/tex]

They paid 50% of the original price.

What discount percent did Don and Mary recieve?​

100 - 50% = 50%

Don and Mary received a discount of 50%.

This chart shows Dan’s budget:

A 3-column table has 5 rows. The first column is labeled Item with entries Internet, food, rent, discretionary spending, income. The second column is labeled Amount budgeted with entries 35, 100, 500, 100, 750. The third column is labeled Amount spent with entries 35, 95, 500, 140, blank.

Did Dan stay on budget? Why or why not?

Yes, Dan spent as much as he earned.
No, Dan should move to a new apartment.
Yes, Dan uses his savings to cover extra expenses.
No, Dan should reduce his discretionary spending

Answers

The correct answer is D No, Dan should reduce his discretionary spending

Explanation:

For Dan to stay on the budget he needs to spend the amount budgeted for each expense or less than the amount budgeted. This occurred in the case of the Internet, food, and rent; for example, the amount budgeted for the internet was $35 and Dan spent this money, also, the amount budgeted for food was $100 and Dan spent $95, which means he stood in the budget. However, this did not occur with discretionary spending, which refers to other non-necessary expenses, because in this case, Dan spent $140 even when the budget limit was $100. Also, this exceeds the total income considering 35 + 95 + 500+ 140 = $770, which is above the income ($750). Thus, Dan did not stay in the budget because he spent more money than expected in discretionary spending and should reduce this.

The correct answer is D. No, Dan should reduce his discretionary spending.

Hope this helps

:)

30 pontos de graça
Quanto é 100X4=?

Answers

Answer:

me marca como melhor resposta ☺️❤️

Step-by-step explanation:

.....

Answer:

400

brigadaaaaaaaaaaaaaa

Factorize (3x-2y)2 + 3(3x-2y)-10

Answers

Answer:

[tex]5(3x-2y-2)[/tex] i think. i am sorry if i am wrong

Step-by-step explanation:

6500 rounded to the nearest thousand is __. Enter your answer without commas

Answers

Answer:

7000

Step-by-step explanation:

If the hundreds place is higher than 5, then add 1 to the thousands place.

Which chart is good for showing the following? For each part, choose the most appropriate chart from the charts listed. - trends over time - cross tabulation - the relationship among 3 quantitative variables - the relationship between 2 quantitative variables - frequency distribution of quantitative data - show differences in numbers across categories A. column or bar chart B. line chart C. heat map D. clustered column or bar chart E. bubble chart F. scatter chart G. histogram

Answers

Answer:

Step-by-step explanation:

Trends over time - Line charts

Cross tabulation - column or bar chart

The relationship among 3 quantitative variables - Bubble charts or clusteréd column or bar chart

The relationship between 2 quantitative variables - scatter plot

Frequency distribution of quantitative data - Histogram

Show differences in numbers across categories - Bar chart or column charts.

A battery with 20% percent of its full capacity is connected to a charger. Every minute that passes, an additional 5% percent of its capacity is charged. How do you graph this

Answers

Answer:

The relation between battery capacity and time is:

[tex]Y=0.05t+0.2[/tex]

The graph is attached.

Step-by-step explanation:

We will graph the charged capacity of the battery in function of time.

The rate of charge is constant, so we can conclude the relation is linear.

At time t=0, the battery capacity is at 0.2 (or 20%).

Every minute that passes, an additional 5% percent of its capacity is charged. So we can say that at t=1, the battery capacity is 0.2+0.05=0.25 (or 25%).

We can calculate the slope of the linear function as:

[tex]m=\dfrac{\Delta Y}{\Delta t}=\dfrac{0.05}{1}=0.05[/tex]

Then, the relation between battery capacity and time is:

[tex]Y=0.05t+0.2[/tex]

PLEASE HELP QUICKLY AS POSSIBLE THANK YOU :)​

Answers

Answer:

Option (B).

Step-by-step explanation:

From the table shown in the figure attached,

There is a common difference of 5 in every successive and previous term, so the relation is a linear relation.

Let the equation representing the relation is,

y - y' = m(x - x')

where m = slope of the line

Now we choose two ordered pairs from the table,

Let the points are (10, 54) and (11, 59)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

      m = [tex]\frac{59-54}{11-10}[/tex]

      m = 5

Now the equation of of the line passing through (10, 54) and slope = 5

y - 54 = 5(x - 10)

y - 54 = 5x - 50

y = 5x - 50 + 54

y = 5x + 4

By substituting the values of x and y from the ordered pairs given in the options we find option B satisfies the equation.

For (2, 14),

14 = 5×2 + 4

14 =  14 [True]

For (3, 19),

19 = 5×3 + 4

19 = 19 [True]

Therefore, option (B) will be the answer.

find an angle x where sin x = cos x (I know this has been answered but I rlly don't get it..)​

Answers

Answer:

45 degrees

Step-by-step explanation:

sin x=cos(90-x)

sin(45)=cos(90-45)=cos(45)

Answer:

The answer is 45.

sin45=cos45= 1/√2.

hope it helps u ...

Assume that SAT scores are normally distributed with mean mu equals 1518 and standard deviation sigma equals 325. If 1 SAT score is randomly selected, find the probability that it is greater than 1600. If 81 SAT scores are randomly selected, find the probability that they have a mean greater than 1600.

Answers

Answer:

[tex]P(X>1600)=P(\frac{X-\mu}{\sigma}>\frac{1600-\mu}{\sigma})=P(Z>\frac{1600-1518}{325})=P(z>0.252)[/tex]

And we can find this probability using the z score formula and the complement rule and we got:

[tex]P(z>0.252)=1-P(z<0.252) =1-0.599= 0.401 [/tex]

[tex] z =\frac{1600-1518}{\frac{325}{\sqrt{81}}}= 2.27[/tex]

And we can find this probability using the z score formula and the complement rule and we got:

[tex]P(z>2.27)=1-P(z<2.27) =1-0.988=0.012[/tex]

Step-by-step explanation:

Let X the random variable that represent the SAT scores of a population, and for this case we know the distribution for X is given by:

[tex]X \sim N(1518,325)[/tex]  

Where [tex]\mu=1518[/tex] and [tex]\sigma=325[/tex]

We want to find this probability:

[tex]P(X>1600)[/tex]

And we can use the z score formula given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Using this formula we got:

[tex]P(X>1600)=P(\frac{X-\mu}{\sigma}>\frac{1600-\mu}{\sigma})=P(Z>\frac{1600-1518}{325})=P(z>0.252)[/tex]

And we can find this probability using the z score formula and the complement rule and we got:

[tex]P(z>0.252)=1-P(z<0.252) =1-0.599= 0.401 [/tex]

For the other part we need to take in count that the distribution for the sampel mean if the sample size is large (n>30) is given by:

[tex]\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})[/tex]

And we can use the z score formula given by:

[tex]z=\frac{x-\mu}{\frac{sigma}{\sqrt{n}}}[/tex]

And replacing we got:

[tex] z =\frac{1600-1518}{\frac{325}{\sqrt{81}}}= 2.27[/tex]

And we can find this probability using the z score formula and the complement rule and we got:

[tex]P(z>2.27)=1-P(z<2.27) =1-0.988=0.012[/tex]




Bus A and Bus B leave the bus depot at 6 am.


Bus A takes 20 minutes to do its route and bus B takes 35 minutes to complete its route.


At what time are they both back at the bus depot together?


Give your answer as a 12-hour clock time

Answers

Answer:

8.20 am

Step-by-step explanation:

First, we have that Bus A will be back after 20 minutes, then after 40, then 60, 80, 100, 120, 140, 160 minutes, etc.

Then, we have that Bus B will be back after 35 minutes, then 70, then 105, then 140, 175....

From the list above we see that the first time they are both back at the station is after 140 minutes. (it's the MCM).

If we express this in terms of minutes, since one hour has 60 minutes, 2 hours have 120 minutes and thus, 140 minutes is 2 hours and 20 minutes.

Therefore, they will be both back at the station 2 hours and 20 minutes after they first departed at 6 am, so they will be back at the depot at 8.20 am

PLEASE HELPPPPPPPPPP <3

Answers

Answer:

y = 1/2x + 4

Step-by-step explanation:

Slope intercept form is y = mx + b, where m is the slope and b is the y-intercept.

When we count rise over run, we find that the slope is 1/2

y = 1/2x + b

The line intersects the y-axis at 4, so the y-intercept is 4.

y = 1/2x + 4

I hope this helps :))

!Please help!
When representing a frequency distribution with a bar chart, which of these bars will be the shortest?
A. A bar representing a frequency of 24
B. A bar representing a frequency of 48
C. A bar representing a frequency of 36
D. A bar representing a frequency of 12

Answers

Answer:

D

Step-by-step explanation:

12 is lowest.

A bar chart is one of the most commonly used representations or visually translate groups of data.

We have given that,

When representing a frequency distribution with a bar chart.

What is the frequency distribution?

frequency distribution, a graph or data set organized to show the frequency of occurrence of each possible outcome of a repeatable event observed many times.

It is drawn in such a way that the x-axis of the graph would represent the items and the y-axis will be for the frequency.

Out of the choices given, the shortest among the bars will be that would frequency is only 36.

Hence, the answer to this item is the letter C.

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22,056 people went to the baseball game on Sunday. Half as many people came on money. How many people were at the baseball game on Sunday and Monday altogether?

Answers

Answer:33084

Step-by-step explanation:

22056 divided by 2 = Monday

Monday= 11028

11028+22056=33084

Answer:

33084 People were at the baseball game on Sunday and ~Money~ Monday all together.

Step-by-step explanation:

Sunday - 22056

Monday -  "Half as many" 22056 Divided by 2

                  = 11028

Altogether - Sunday + Monday = 33084

As a shortcut on your calculator, you could do:

22056 + (22056 divided by 2)

= 33084

Which is the population standard deviation of the data set: 53, 35, 40, 38, 42

Answers

Answer:

daddy wants some more dior

Step-by-step explanation:

Two voting districts, C and M, were sampled to investigate voter opinion about tax spending. From a random sample of 100 voters in District C, 22 percent responded yes to the question "Are you in favor of an increase in state spending on the arts?" An independent random sample of 100 voters in District M resulted in 26 percent responding yes to the question. A 95 percent confidence interval for the difference

Answers

Answer:

Step-by-step explanation:

Confidence interval for the difference in the two proportions is written as

Difference in sample proportions ± margin of error

Sample proportion, p= x/n

Where x = number of success

n = number of samples

For district C,

x = 22

n1 = 100

p1 = 22/100 = 0.22

For district M,

x = 26

n2 = 100

p2 = 26/100 = 0.26

Margin of error = z√[p1(1 - p1)/n1 + p2(1 - p2)/n2]

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.025 = 0.975

The z score corresponding to the area on the z table is 1.96. Thus, the z score for the confidence level of 95% is 1.96

Margin of error = 1.96 × √[0.22(1 - 0.22)/100 + 0.26(1 - 0.26)/100]

= 1.96 × √0.00364

= 0.12

Confidence interval = (0.22 - 0.26) ± 0.12

= - 0.04 ± 0.12

The required  95 percent confidence interval for the difference is ( 0.8, 0.16).

Given that,

A random sample of 100 voters in District C, 22 percent responded yes to The question "Are you in favor of an increase in state spending on the arts?"

An independent random sample of 100 voters in District M resulted in 26 percent responding yes to the question.

We have to determine,

A 95 percent confidence interval for the difference.

According to the question,

A random sample of 100 voters in District C, 22 percent responded yes to The question "Are you in favor of an increase in state spending on the arts?"

An independent random sample of 100 voters in District M resulted in 26 percent responding yes to the question.

Confidence interval for the difference in the two proportions is written as,

Difference in sample proportions ± margin of error

Sample proportion, p= x/n

Where x = number of success

n = number of samples

From a random sample of 100 voters in District C,

[tex]x = 22\\\\n_1= 100\\\\p_1 = \dfrac{22}{100} = 0.22[/tex]

From a random sample of 100 voters in District M,

[tex]x = 26\\\\n_1= 100\\\\p_1 = \dfrac{26}{100} = 0.26[/tex]

Therefore,

[tex]Margin \ of \ error = \sqrt{\dfrac{p_1(1-p_1}{n_1} + \dfrac{p_2(1-p_2)}{n_2}}[/tex]

To determine the z score, subtract the confidence level from 100% to get b

α = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

This is the area in each tail. Since,  the area in the middle, it becomes

1 - 0.025 = 0.975

The z-score corresponding to the area on the z table is 1.96. Thus, the z score for the confidence level of 95% is 1.96,

[tex]Margin \ of \ error = \sqrt{\dfrac{0.22(1-0.22)}{100} + \dfrac{0.26(1-0.26)}{100}}[/tex]

                           [tex]= \sqrt{\dfrac{0.22(0.78)}{100} +\dfrac{0.26(0.76)}{100}}\\\\= \sqrt{\dfrac{0.17}{100}+ \dfrac{0.19}{100}}\\\\= \sqrt{\dfrac{0.36}{100}}\\\\= \sqrt{0.0036}\\\\= 0.06[/tex]

Then, Confidence interval is given as;

[tex](0.22 - 0.26) \pm 0.12\\\\(-0.4) \pm 0.12\\\\(-0.4+0.12 , -0.4-0.12)\\\\(0.8, 0.16)[/tex]

Hence, The required  95 percent confidence interval for the difference is( 0.8, 0.16)

To know more about Confidence interval click the link given below.

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What are the solutions to the quadratic equation 2x^2 + 10x - 48 = 0?
A. x= -4 and x = 6
B. X= -8 and x = 2
c. x= -6 and x = 8
D. X = -8 and x = 3

Answers

The answer would be the third so c
the answer is D. Download photomath

pls help, you will get branliest !!​

Answers

the answer is 4 because it shifted

Answer:

4.......................

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Por qu ensear a Shakespeare? Y debe de ser un ensayo persuasivo Find the area of parallelogram BDKJ. A rectangle has sides of length 7 in and 13 in. To the nearest degree, what angle does the diagonal make with the longer side?Round your answer the nearest tenth.A)57.4B)28.3C)61.7D)32.5 Because of modern technological advancements such as the Internet and TV, a "public" can be far apart from eachother.OTOF The function g(x) = x2 is transformed to obtain function h:h(x) = g(x) + 1. What was the importance of Songhai? Identify the particle represented by each symbol as an alpha particle, a beta particle, a gamma ray, a positron, a neutron, or a proton. a. 11P b. 42He c. +10e Select the correct answer. The major historical book of the New Testament is _____. Romans, Revelations, or Acts Which of the following powers were allowed under the Articles of Confederation?A)the power to raise taxesB)states were allowed to enter into foreign treatiesC)negotiate foreign peaceD)control trade Find the value of x from this adjoining figure A 50.0 mL sample of 6.0 M HCl was diluted to a final volume of 250.0 mL What was the new molarity? You charge $60 for a new pair of shoes, and your competition charges $45 for the same pair of shoes. Who will a consumer most likely buy from? your store your competition What is the indicated missing angle can someone pls help me a student used a yardstick to model the displacement of rock at a fault during an earthquake the student bent the yardstick without breaking it and then let it go. what process did the student show? A. isostatic rebound B. a moment magnitude vibration C. isostasy D. the formation of a new fault In the United States, the moons pull is strongest during which season?1. spring2. summer3. fall4. winter Which natural resource Enables the operation of most of Chinas power plants please help me thankyou lol Latent heat of vaporization is used to (1 Point) (a) overcome the forces of attraction between molecules in solid-state. (b) increase the kinetic energy of molecules in a liquid state. (c) overcome the forces of attraction between molecules in a liquid state. (d) increase the kinetic energy of molecules in the vapour state. Way Cool produces two different models of air conditioners. The company produces the mechanical systems in their components department. The mechanical systems are combined with the housing assembly in its finishing department. The activities, costs, and drivers associated with these two manufacturing processes and the production support process follow.ProcessActivityOverhead CostDriverQuantity Components Changeover$500,000Number of batches800 Machining279,000Machine hours6,000 Setups225,000Number of setups120 $1,004,000 Finishing Welding$180,300Welding hours3,000 Inspecting210,000Number of inspections700 Rework75,000Rework orders300 $465,300 Support Purchasing$135,000Purchase orders450 Providing space32,000Number of units5,000 Providing utilities65,000Number of units5,000 $232,000Additional production information concerning its two product lines follows.Model 145Model 212 Units produced1,5003,500 Welding hours8002,200 Batches400400 Number of inspections400300 Machine hours1,8004,200 Setups6060 Rework orders160140 Purchase orders3001501. Using ABC, compute the overhead cost per unit for each product line. (Round your final answers to 2 decimals places.)2. Determine the total cost per unit for each product line if the direct labor and direct materials costs per unit are $250 for Model 145 and $180 for Model 212. (Round your final answers to 2 decimals places.)3. Assume if the market price for Model 145 is $820 and the market price for Model 212 is $480, determine the profit or loss per unit for each model. (Round your final answers to 2 decimals places.) Which graph represents y=3 square rootx +2 ?