Hey what’s the correct answer for this?

Hey Whats The Correct Answer For This?

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Well first find the proportion of the sector of the major Arc(shaded area) and then Multiply by area of the circle πr²


Related Questions

Order the numbers from least to greatest based on their absolute values.

|23|, |−37|, |−6|, |18|, |−24|, |2|

Answers

Answer:

/-37/, /-24/, /-6/, /2/, /18/, /23/

Please help me with this question!!!

Answers

Answer:

  θ = ±2π/3 +2kπ . . . . . for any integer k

Step-by-step explanation:

  2·cos(θ) +1 = 0

  cos(θ) = -1/2 . . . . . subtract 1, divide by 2

The cosine function has the value -1/2 for θ = ±2π/3 and any integer multiple of 2π added to that.

  θ = ±2π/3 +2kπ . . . . . for any integer k

Erin had 55 stuffed bears. She took out her favorite 7 bears and then equally divided the other bears among her 3 sisters. Erin's youngest sister, Su, already had 15 stuffed bears. How many stuffed bears does Su have now?

Answers

Answer:

27 stuffed bears

Step-by-step explanation:

Erin: 55   Su: 15

Erin: 55-7=48 ( 7 will be kept for herself)

Erin and her sisters: 48/4= 12

Each sister besides Erin and Su have 12

Su: 15+12=27

Thus, Su will have 27 stuffed bears

Answer:

31 Stuffed Bears

Step-by-step explanation:

55 - 7 = 48

48 / 3 = 16

16 + 15 = 31

Sue has 31 stuffed bears

which of the following explains expressions are equivalent to - 5/6 /-1/3

Answers

Answer:

2.5

Step-by-step explanation:

(-5/6 ) / (-1/3)

multiply the numerator and denominator by the same number -3 gives:

(-5 * -3 /6 ) / (-1* -3/3)

(15/6 ) / (3/3)

(15/6 ) / 1

(15/6 )

12/6 + 3/6

2 3/6

2 1/2

2.5



Darnell spends $100 dollars a week

eating out. His sister told him that if he

would reduce this spending by $50 a

week, he could increase his credit card

payment to $300 per month. How much

will he save if he takes his sister's advice?

ent?

How much will Darnell save by increasing

his monthly payment by $200?

Answers

Answer:

$200

$100

Step-by-step explanation:

Darnell spends $100 dollars a week, if he reduces this spending by $50 a week, he will be able to save

$50 x 4 weeks in a months = $200

This, in a month he will be able to save $200.

Increasing his credit card payment by $200 to a total of $300...

since he now spends $50 per week now,

in a month he will spend $50 x 4 weeks = $200 and be able to save $100.

What’s the correct answer for this?

Answers

Answer:

C.

Step-by-step explanation:

Measure of arcURN = 270°

In radians:

270° = 270π/180

270° = 3π/2

Now

Area of sector = 1/2r²∅

= 1/2(10)²(3π/2)

= 50(3π/2)

= 75π

Help me solve (b) in this quadrilateral

Answers

Answer:

b = 87°

Step-by-step explanation:

In order to answer this question, we need to utilise an important angle fact which is angles in a quadrilateral add up to 360°

Using the information we can set up an equation to find the value of b

→ Form equation

63 + 140 + 70 + b = 360

→ Simplify

273 + b = 360

→ Minus 273 from both sides isolate b

b = 87°

Answer:

Hello!

The answer is 87 degrees!

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

Step-by-step explanation:

The sum of two numbers is 4 1/2. The difference is 3 1/4. Find the numbers.

Answers

Answer:

let the two number is x and y

x + y = 4 1/2 .....(i)

x - y = 3 1/4 ......(ii)

adding question (i) and (ii)

x + y = 9/2

x - y = 31/4

=> 2x = 31/4

x = 8/31

substituting the value x in equation 1

8/31 + y = 9/ 2

y = 9/2 - 8/31

y =203/62

the value of x = 8/31

y = 203/62

I don’t need you to explain just answer.

Answers

Answer: The answer is (x-5)^2

question is attached

Answers

I apologize, I am stumped... I thought you would find either the centroid, circumcenter, or incenter of the triangle created but it didn't work quite right for me.

g Brian Vanecek, VP of Operations at Portland Trust Bank, is evaluating the service level provided to walk-in customers. Accordingly, his staff recorded the waiting times for 64 randomly selected walk-in customers, and determined that their mean waiting time was 15 minutes and that the standard deviation was 4 minutes. The 88% confidence interval for the population mean of waiting times is __________.

Answers

Answer:

The 88% confidence interval for the population mean of waiting times is between 7.34 minutes and 22.66 minutes.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 64 - 1 = 63

88% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 63 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.88}{2} = 0.94[/tex]. So we have T = 1.9153

The margin of error is:

M = T*s = 1.9153*4 = 7.66.

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 15 - 7.66 = 7.34 minutes

The upper end of the interval is the sample mean added to M. So it is 15 + 7.66 = 22.66 minutes.

The 88% confidence interval for the population mean of waiting times is between 7.34 minutes and 22.66 minutes.

a)i.Write the the absolute value function y=|2x+5|+3|x-1| as a piece-wise function.
ii)What is the range?​

Answers

Answer:

Step-by-step explanation:

for |2x+5|=

[tex]\left \{ {{2x+5}~~~~if~~~~2x+5 > 0 ~~or ~~~~x>\frac{-5}{2}~~(case 1) \\ \atop {-2x-5}} ~~~~~if~~~2x+5 <0 ~~~~or~~~x<\frac{-5}{2}~~(case 2)[/tex]

for |x-1| = [tex]\left \{ {{x-1 } ~~~~if~~~x-1>0 ~~~or~~~x>1 ~~(case 3)\atop {1-x}} ~~~~if ~~~~x-1<0 ~~~~or~~~x<1 \right. (case 4)[/tex]

A cola manufacturer invited consumers to take a blind taste test. Consumers were asked to decide which of two sodas they preferred. The manufacturer was also interested in what factors played a role in taste preferences. Suppose the manufacturer wanted to test to determine if the males preferred its brand more than the females. Using the test statistic given in the printout, compute the appropriate p-value for the test.
A. 0.0340
B. 0.0171
C. 04681
D. 0.2119

Answers

Answer: B. 0.0171

Step-by-step explanation:

The question is incomplete. The complete question is:

A cola manufacturer invited consumers to take a blind taste test. Consumers were asked to decide which of two sodas they preferred. The manufacturer was also interested in what factors played a role in taste preferences. Below is a printout comparing the taste preferences of men and women.

HYPOTHESIS: PROP. X = PROP. Y

SAMPLES SELECTED FROM soda(brand1,brand2)

males (sex=0, males) (NUMBER = 115)

females (sex=1, females) (NUMBER = 56)

X = males

Y = females

SAMPLE PROPORTION OF X = 0.422018

SAMPLE SIZE OF X = 109

SAMPLE PROPORTION OF Y = 0.25

SAMPLE SIZE OF Y = 52

PROPORTION X - PROPORTION Y = 0.172018

Z = 2.11825

Suppose the manufacturer wanted to test to determine if the males preferred its brand more than the females. Using the test statistic given, for a one-sided test, compute the appropriate p-value for the test.

Solution:

Looking at the statement, "Suppose the manufacturer wanted to test to determine if the males preferred its brand more than the females", it shows that it is a right tailed test. Since the test statistic is already known, we would find the probability value for the area above the test statistic or z score from the normal distribution table. From the table,

p value = 0.983

The required p value above the z score is

1 - 0.983 = 0.0171

the appropriate p-value for the test is 0.0171

A bag contains 7 red and 10 white balls. In how many ways 4 balls are selected if there are more than 2 red balls? (Please solve it using counting rule; combination rule.)

Answers

Answer:

385 ways

Step-by-step explanation:

Given;

7 red balls

10 white balls

In how many ways can 4 balls be selected if there are more than 2 red balls.

Selecting 4 balls which must contain more than 2 red balls, will be 3 red balls and 1 white ball to make it 4 in total, or all the 4 balls selected will red balls.

= 3 red balls and 1 white ball  OR 4 red balls

= 7C₃ x 10C₁  + 7C₄

[tex]= \frac{7!}{4!3!} *\frac{10!}{9!1!} \ \ + \ \frac{7!}{3!4!} \\\\= (35*10) \ + \ 35\\\\= 350 \ + 35\\\\= 385 \ ways[/tex]

Therefore, there are 385 ways of selecting 4 balls, if there are more than 2 red balls.

The expression 12g12g12, g gives the number of kilometers a car can travel using ggg liters of gasoline.
How far can this car travel on 5 \dfrac125
2
1

5, start fraction, 1, divided by, 2, end fraction liters of gasoline?

Answers

Answer:

Which of these factors will affect the friction on a road

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

Find the characteristic polynomial and the eigenvalues of the matrix. [Start 2 By 2 Matrix 1st Row 1st Column 11 2nd Column 2 2nd Row 1st Column 2 2nd Column 11 EndMatrix ]The characteristic polynomial is nothing.

Answers

Answer:

Step-by-step explanation:

The answer is 3x 987 colunm 2

Hitchhiker Snails A type of small snail is very widespread in Japan, and colonies of the snails that are genetically similar have been found very far apart. Scientists wondered how the snails could travel such long distances. A recent study1 provides the answer. Biologist Shinichiro Wada fed live snails to birds and found that of the snails were excreted live out the other end. The snails apparently are able to seal their shells shut to keep the digestive fluids from getting in.
What is the best estimate for the proportion of all snails of this type to live after being eaten by a bird?

Answers

Answer: 0.149

Step-by-step explanation:

As Scientists wondered how the snails could travel such long distances. A recent study provides the answer. Biologist Shinichiro Wada fed 174 live snails to birds and found that 26 of the snails were excreted live out the other end.

The best estimate for the proportion of all snails of this type to live after being eaten by a bird can be achieved by calculating the ratio of survival/number of eaten snails

Where the number of eaten snails = 174

The number of survivors = 26

Estimated proportion = 26/174 = 0.1494

Therefore, the best estimate for the proportion of all snails of this type to live after being eaten by a bird will be 0.149 approximately.

Any help would be great

Answers

Answer:

63

Step-by-step explanation: The ratio from planet A to B is 100 to 3. If an elephant weight 2100 is planet a, then we are multiplying 21 to hundred. Whatever you do on the left side you have to do it on the right side and if you multiply 21 and 3 on the right side then you get 63.

Answer:

63 pounds

Step-by-step explanation:

The ratio for Planet A to Planet B is

100 : 3

Creating a proportionality with the unknown as x

=> [tex]\frac{100}{3} = \frac{2100}{x}[/tex]

Isolating x would give

x = [tex]\frac{2100 * 3}{100}[/tex]

x = 21 × 3

x = 63 pounds

Borland, Inc., has a profit margin of 5.6 percent on sales of $13.6 million. If the firm has debt of $6.4 million and total assets of $9.8 million, what is the firm’s ROA?

Answers

Answer:

ROA = 7.77 percent

Step-by-step explanation:

Borland, Inc., has a profit margin of 5.6 percent on sales of $13.6 million

Thus, profit = 5.6% of  $13.6 million

profit = 5.6 / 100 *  $13.6 million = $0.7616 million

Profit is same as net income

Formula for ROA (return on asset) = net income/ total asset

total asset as given = $9.8 million

Thus, ROA = $0.7616/ $9.8 = 0.0777

ROA in percentage = 0.0777*100 = 7.77

Thus, ROA is 7.77 percent .

use the graph of y = tan x to find the value of y = tan 0. round to the nearest tenth of necessary. if the tangent is undefined at that point, write undefined.

a. 0.4
b. 0
c. -0.4
d. 1

Answers

Step-by-step explanation:

The graph of y = tan x is shown. We need to find what y equals when x = 0 (because in y = tan 0, x is replaced with 0)

So you can either find where x = 0 on the graph, or you can take the tangent of 0 to find your answer.

The value of the trigonometric function [tex]y = \tan x[/tex] at (x = 0) is 0 and this can be determined by using the given graph.

Given :

The graph of [tex]y = \tan x[/tex].

The following steps can be used to determine the value of [tex]y = \tan 0[/tex] :

Step 1 - The graph of the trigonometric function [tex]y = \tan x[/tex] is given.

Step 2 - According to the given graph, at (x = 0) the value of y is also 0.

Step 3 - So, the value of the trigonometric function [tex]y = \tan x[/tex] at (x = 0) is:

[tex]y = \tan 0[/tex]

[tex]y = 0[/tex]

The value of the trigonometric function [tex]y = \tan x[/tex] at (x = 0) is 0.

For more information, refer to the link given below:

https://brainly.com/question/14375099

You have already a 1000 cash on your hand. You have also a 1000 cash in bank and you withdraw half of 500, so, it means you withdraw 250. Now, you have a 1000 cash on hand plus 250 that you have been withdraw from the bank, all in all you have 1250 now in your hand.

Answers

Answer: At the end, you have $750 remaining in the bank.

Step-by-step explanation:

I guess you want to know how much is left in the bank.

initially

Hand : $1000

Bank: $1000

you withdraw $250 from the bank:

Hand: $1000 + $250 = $1250

Bank: $1000 - $250 = $750

A recent graduate school study of a random sample of 250 US manufacturing companies determined the average financial report preparation time was 68.04 days with a standard deviation of 35.74 days. Calculate to three decimal places the 95 percent confidence interval for the mean report prep time for all US manufacturing companies. [63.001, 72.008] [63.957, 75.568] [63.505, 72.414] [61.612, 74.468] [63.612, 72.468]

Answers

Answer:

[tex]68.04-1.959\frac{35.74}{\sqrt{250}}=63.618[/tex]    

[tex]68.04+1.959\frac{35.74}{\sqrt{250}}=72.461[/tex]    

And the best option for this case would be

Step-by-step explanation:

Information given

[tex]\bar X=68.04[/tex] represent the sample mean

[tex]\mu[/tex] population mean

s=35.74 represent the sample standard deviation

n=250 represent the sample size  

Confidence interval

The confidence interval for the mean is given by the following formula:

[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex]   (1)

The degrees of freedom are given by:

[tex]df=n-1=250-1=249[/tex]

The Confidence level is 0.95 or 95%, and the significance [tex]\alpha=0.05[/tex] and [tex]\alpha/2 =0.025[/tex], and the critical value for this case woud be [tex]t_{\alpha/2}=1.956[/tex]

And replacing we got:

[tex]68.04-1.959\frac{35.74}{\sqrt{250}}=63.618[/tex]    

[tex]68.04+1.959\frac{35.74}{\sqrt{250}}=72.461[/tex]    

And the best option for this case would be

Tiffany is 140 miles away from Maggie. They are traveling towards each other. If Maggie travels 5 mph faster than Tiffany and they meet after 4 hours how fast was each traveling

Answers

Answer: Tiffany 15mph, Maggie 20mph

Step-by-step explanation:

Set up the equation 4((x+5) + x) = 140. x+5 represents how many miles Maggie covered in one hour. x represents how much Tiffany traveled in one hour. 140 is the number of miles in total. 4 is the number of hours in total.

Simplify the equation.

(x+5) + x = 35    Divide both sides by 4

2x+5 = 35         Combine like terms

2x = 30              Subtract 5 from both sides

x = 15                 Divide both sides by 2

Tiffany traveled 15mph, while Maggie traveled 15+5=20mph.

Ariana is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Arians will earn $40 every time one of her songs is played in a commercial and she will earn $110 every time one of her songs is played in a movie. Ariana earned a total of $500 in royalties on 9 commercials and movies. Write a system of equations that could be used to determine the number of commercials and the number of movies on which Arianas songs were played. Define the variables that you use to write the system.

Answers

Answer:

Commercials x = 7

Movies y = 2

Step-by-step explanation:

Let commercials = x

Let's movies = y

$40 is for commercials

$110 is for movies.

Commercials plus movies for the Year = 9

She earned total of $500

X+ y = 9..... equation 1

40x + 110y = 500.... Equation 2

Multipling equation one by 40

40x + 40y = 360

Subtracting equation one from equation 2

70y = 140

Y = 2

If y = 2

X + y = 9

X + 2 = 9

X = 9-2

X = 7

help solve the above equation ​

Answers

Answer:

[tex]\dfrac{1}{27}[/tex]

Step-by-step explanation:

[tex]n^{-\frac{2}{3}}=9[/tex]

Rewrite:

[tex]\dfrac{1}{\sqrt[3]{n^2}}=9\\\\9\sqrt[3]{n^2}=1[/tex]

Cube both sides:

[tex]729n^2=1[/tex]

Divide both sides by 729:

[tex]n^2=\dfrac{1}{729}[/tex]

Take the square root of both sides:

[tex]n=\sqrt{\dfrac{1}{729}}=\dfrac{1}{27}[/tex]

Hope this helps!

Write an equation in point-slope form for the line that has the given slope, m, and
that passes through the given point and graph the line.
m = -2; (-1,4)

Answers

Step-by-step explanation:

work is shown and pictured

In the United States, the mean and standard deviation of adult men's heights are 70 inches (5 feet 10 inches) and 4 inches, respectively. Suppose the American adult men's heights have a normal distribution Whe probability that a randomly chosen American man is taller than 6 feet (72 inches) is equal to:___________. (round off to fourth decimal place, use the given table)
a. 0.6853
b. 0.0062
c. 0.3085
d.0.6915
e. None of these

Answers

Answer:

[tex]P(X>72)=P(\frac{X-\mu}{\sigma}>\frac{72-\mu}{\sigma})=P(Z>\frac{72-70}{4})=P(z>0.5)[/tex]

And we can find this probability using the complement rule and the normal standard table:

[tex]P(z>0.5)=1-P(z<0.5)= 1- 0.69146= 0.3085[/tex]

And the best solution would be:

c. 0.3085

Step-by-step explanation:

For this case we can convert all the values to inches in order to standardize the solution:

[tex] 5ft * \frac{12 in}{1ft}= 60 in[/tex]

[tex] 6ft * \frac{12 in}{1ft}= 72 in[/tex]

Let X the random variable that represent the heights of US mens, and for this case we know the distribution for X is given by:

[tex]X \sim N(70,4)[/tex]  

Where [tex]\mu=70[/tex] and [tex]\sigma=4[/tex]

We are interested on this probability

[tex]P(X>72)[/tex]

We can use the z score formula given by:

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

Using this formula we got:

[tex]P(X>72)=P(\frac{X-\mu}{\sigma}>\frac{72-\mu}{\sigma})=P(Z>\frac{72-70}{4})=P(z>0.5)[/tex]

And we can find this probability using the complement rule and the normal standard table:

[tex]P(z>0.5)=1-P(z<0.5)= 1- 0.69146= 0.3085[/tex]

And the best solution would be:

c. 0.3085

Using the normal distribution, it is found that the probability that a randomly chosen American man is taller than 6 feet (72 inches) is equal to:

c. 0.3085

In a normal distribution 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]

It 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, which is the percentile of X.

In this problem:

Mean of 70 inches, thus [tex]\mu = 70[/tex].Standard deviation of 4 inches, thus [tex]\sigma = 4[/tex].

The probability of being taller than 72 inches is 1 subtracted by the p-value of Z when X = 72, thus:

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

[tex]Z = \frac{72 - 70}{4}[/tex]

[tex]Z = 0.5[/tex]

[tex]Z = 0.5[/tex] has a p-value of 0.6915.

1 - 0.6915 = 0.3085

Thus, option c.

A similar problem is given at https://brainly.com/question/24855678

Show that an implicit solution of 2x sin2(y) dx − (x2 + 10) cos(y) dy = 0 is given by ln(x2 + 10) + csc(y) = C. Differentiating ln(x2 + 10) + csc(y) = C we get 2x x2 + 10 + dy dx = 0 or 2x sin2(y) dx + dy = 0. Find the constant solutions, if any, that were lost in the solution of the differential equation. (Let k represent an arbitrary integer.)

Answers

Answer:

Step-by-step explanation:

[tex]2xsin(2y)dx-(x^2+10) cosy dy =0\\\\\frac{2x}{x^2 + 10}dx= \frac{cosy}{sin(2y)}[/tex]

Take integration both side (apply substitution for the left hand side, apply sin(2y) = 2 sin(y) cos(y) for the right hand side) you will have the condition.

Problem solved

11+11=4, 22+22=16, 33+33?

Answers

Sequence= 4, 16

Difference=12

16+12=28

Answer is...

33+33=28

Find the total amount of interest on a savings account if the principal is $9400 and the bank gives a rate of 6% compounded quarterly for the next 6 years.

Answers

Answer:

4037.3264$

Step-by-step explanation:

Total amount of money after 6 years:

A = P x (1 + rate)^time    

   = 9400 x ( 1 + (6/100)/4)^(6 x 4)    

   = 13437.3264$

=> Total amount of interest after 6 years:

I  = A - P = 13437.3264 - 9400 = 4037.3264$

Other Questions
Students in a political science course were asked to describe their politics as "Liberal", "Moderate", or "Conservative." Here are the results:PoliticsLiberalModerateConservativeTotalFemale40341488Male485026124Total888440212Given that the student is male what is the probability that he considers himself to be a "Liberal"? Round your answer to three decimal places if necessary.a.0.226c.0.387b.0.415d.0.455Please select the best answer from the choices providedABCD What is the area of the parallelogram?A. 39. 20 cm2B. 39.33 cm?c. 56.58 cm2D. 78.66 cm2E. 93.48 cm2 Please help me correct answer gets brainiest Please answer this question Consider the following data on U.S. GDP: Year Nominal GDP GDP Deflator (Billions of dollars) (Base year 2009) 2016 18,707 105.93 1996 8,073 73.18 The growth rate of nominal GDP between 1996 and 2016 was______, and the growth rate of the GDP deflator between 1996 and 2016 was:_______. The narrator calls stem cells extraordinary. Why does she use this term to describe these cells? where does henry say he receives his insight into the future Calculate the maximum deceleration (in m/s2) of a car that is heading down a 14 slope (one that makes an angle of 14 with the horizontal) under the following road conditions. You may assume that the weight of the car is evenly distributed on all four tires and that the static coefficient of friction is involvedthat is, the tires are not allowed to slip during the deceleration. IVE BEEN STUCK ON THIS QUESTION CAN I PLEASE GET SOME HELP I WOUDL APPRECIATE IT THANK YOU Read the following sentence. Madame Josephine carefully looked at all of the forks, knives, and spoons before announcing that all of the utensils needed to be washed again. Use the context clues to find the definition for the word utensils as it is used in this sentence. silverware instruments kitchen items tools What measures of the cylinder do 12 and 42 describe?A cylinder with height of 42 millimeters and radius of 12 millimeters.radius and diameterradius and heightdiameter and heightdiameter and area of base The atomic number of an atom is a) The mass of the atom b) The number of protons added to the number of neutrons c) The number of protons d) Negatively charged Length of a rod: Engineers on the Bay Bridge are measuring tower rods to find out if any rods have been corroded from salt water. There are rods on the east and west sides of the bridge span. One engineer plans to measure the length of an eastern rod 25 times and then calculate the average of the 25 measurements to estimate the true length of the eastern rod. A different engineer plans to measure the length of a western rod 20 times and then calculate the average of the 20 measurements to estimate the true length of the western rod. Is Templeton from Charlotte's Web good or bad in chapter 21 IN ORDER invade the ussr hitter had to first Mojo Mining has a bond outstanding that sells for $1,061 and matures in 25 years. The bond pays semiannual coupons and has a coupon rate of 6.1 percent. The par value is $1,000. If the company's tax rate is 39 percent, what is the aftertax cost of debt Cane Company manufactures two products called Alpha and Beta that sell for $185 and $120, respectively. Each product uses only one type of raw material that costs $5 per pound. The company has the capacity to annually produce 112,000 units of each product. Its unit costs for each product at this level of activity are given below: Alpha Beta Direct materials $ 30 $ 10 Direct labor 22 29 Variable manufacturing overhead 20 13 Traceable fixed manufacturing overhead 24 26 Variable selling expenses 20 16 Common fixed expenses 23 18 Total cost per unit $ 139 $ 112 The company considers its traceable fixed manufacturing overhead to be avoidable, whereas its common fixed expenses are deemed unavoidable and have been allocated to products based on sales dollars. Required: 7. Assume that Cane normally produces and sells 48,000 Betas per year. If Cane discontinues the Beta product line, how much will profits increase or decrease? 8. Assume that Cane normally produces and sells 68,000 Betas and 88,000 Alphas per year. If Cane discontinues the Beta product line, its sales representatives could increase sales of Alpha by 12,000 units. If Cane discontinues the Beta product line, how much would profits increase or decrease? 9. Assume that Cane expects to produce and sell 88,000 Alphas during the current year. A supplier has offered to manufacture and deliver 88,000 Alphas to Cane for a price of $112 per unit. If Cane buys 88,000 units from the supplier instead of making those units, how much will profits increase or decrease? 10. Assume that Cane expects to produce and sell 58,000 Alphas during the current year. A supplier has offered to manufacture and deliver 58,000 Alphas to Cane for a price of $112 per unit. If Cane buys 58,000 units from the supplier instead of making those units, how much will profits increase or decrease? 13. Assume that Canes customers would buy a maximum of 88,000 units of Alpha and 68,000 units of Beta. Also assume that the companys raw material available for production is limited to 172,000 pounds. How many units of each product should Cane produce to maximize its profits? 14. Assume that Canes customers would buy a maximum of 88,000 units of Alpha and 68,000 units of Beta. Also assume that the companys raw material available for production is limited to 172,000 pounds. What is the maximum contribution margin Cane Company can earn given the limited quantity of raw materials? 15. Assume that Canes customers would buy a maximum of 88,000 units of Alpha and 68,000 units of Beta. Also assume that the companys raw material available for production is limited to 172,000 pounds. Up to how much should it be willing to pay per pound for additional raw materials? (Round your answer to 2 decimal places.) Which of the following is an example of a mixture?A. NaClB. CO2 + H2 + O2. D. C6H1206Reset Selection Which of these statements is true for f(x) =- (3)A. The range of (x) is y toB. The domain of fx) is x > 0.C. It is always increasingD. The graph contains Mel buys a shirt that cost 12.50 and some pairs of socks that are 2.50 each.He pays a total of 27.50$.How many pairs of socks did Mel buy?