Picture is included please help​

Picture Is Included Please Help

Answers

Answer 1

Answer:

B cannot be factored into a perfect square


Related Questions

ONLY ANSWER IF U KNOW!
Find the limit of the function algebraically.

Answers

Answer:

lim [(x(2) + 3) × 1/ x(4) ] = 3 × ( + ○○) = + ○○

Please help asap thank you

Answers

Answer:

1.

Mean:22

Median: 19.5

Mode:12

Range:26

2.

Mean: 21.143

Median: 16

Mode: 5

Range: 43

3.

Mean: 38.5

Median: 37.5

Mode: 13 , 34, 41

Range: 56

4.

Mean: 73.167

Median: 78.5

Mode: 85

Range : 47

5.

Mean: 58.75

Median: 63

Mode: 63

Range : 70

6.

Mean: 68.714

Median: 74

Mode: 74

Range: 57

7.

Mean: 48

47.5

72

66

8.

59.625

61

90

79

9.

31.571

32

46

34

10.

42.111

40

51

51

find x
answer choices
6
7
9
10
8

Answers

The answer should be 10

In a lab, Andrew is studying the growth of a particular species of bacteria. The bacteria in the petri dish started at 300. After 2 days he realizes that the number of bacteria is about 480. After another 2 days he realizes that the number of bacteria in the dish is 288 more than what it was two days ago. a.) Give an equation to estimate the amount of bacteria in the dish after every day. b.) At what rate would the bacteria be growing c.) How many days would it take for the bacteria to reach almost 1229. d.) Find the average rate of change between 6 days and the first day

Answers

a) The equation to estimate the amount of bacteria in the dish after every day is N = 90t + 210.

b) The coefficient is 90, indicating that the bacteria is growing at a rate of 90 per day.

c) It would take approximately 11.32 days for the bacteria to reach almost 1229.

d) Average rate of change = (N₂ - 300) / (6 - 1)

a) Let's denote the number of bacteria in the dish after a certain number of days as N. We can create an equation to estimate the amount of bacteria in the dish after every day based on the given information.

On the first day, the initial number of bacteria is 300. After 2 days, the number of bacteria is approximately 480. This gives us two data points: (1, 300) and (3, 480).

To find the equation for estimating the number of bacteria, we can use the two-point form of the linear equation:

N - 300 = ((480 - 300) / (3 - 1))(t - 1)

Simplifying the equation, we get:

N = 90t + 210

Therefore, the equation to estimate the amount of bacteria in the dish after every day is N = 90t + 210.

b) The rate at which the bacteria is growing can be determined from the coefficient of t in the equation. In this case, the coefficient is 90, indicating that the bacteria is growing at a rate of 90 per day.

c) We can use the equation N = 90t + 210 to find the number of days it would take for the bacteria to reach almost 1229. We substitute N = 1229 into the equation and solve for t:

1229 = 90t + 210

1019 = 90t

t ≈ 11.32

Therefore, it would take approximately 11.32 days for the bacteria to reach almost 1229.

d) To find the average rate of change between 6 days and the first day, we need to calculate the change in the number of bacteria divided by the change in time:

Average rate of change = (N₂ - N₁) / (t₂ - t₁)

Here, N₁ is the number of bacteria on the first day (300), t₁ is the first day (1), N₂ is the number of bacteria on the sixth day, and t₂ is the sixth day.

Substituting the values into the formula, we get:

Average rate of change = (N₂ - 300) / (6 - 1)

To know more about coefficient, refer here:

https://brainly.com/question/1594145#

#SPJ11

Someone please help really need it.

Write an equation of the line parallel to y = 5x + 7 that passes through the point (-3,2)

Answers

Answer:

y=5x-13

Step-by-step explanation:

A rectangle field is 3 times as long as it is wide. If the perimeter of the field is 280 yards, what are the fields dimensions

Answers

10 yards by 30 yards.


Length 105 by 35 Width

280/4
70
70*3=210
70*1=70
210/2=105
70/2=35

105 by 35
Sorry if it’s wrong!!
I think this is the right one in comparison to the other person because it’s talking about perimeter.... Idek where they got 10 by 30 from.
The area of that is 300 and the perimeter would be 80 not 280

Adjustment for Merchandise Inventory Using T Accounts: Periodic Inventory System

Ibby Smith owns and operates Ibby’s Ice Cream Cones. Her beginning inventory as of January 1, 20--, was $45,000, and her ending inventory as of December 31, 20--, was $57,000. Set up T accounts for Merchandise Inventory and Income Summary and perform the year-end adjustment for Merchandise Inventory.

Use the labels shown.

(a) Remove the beginning balance in Merchandise Inventory.
(b) Add the new balance in Merchandise Inventory.

Answers

The Income Summary will be credited for $12,000 in the T account.

The journal entry to remove the beginning balance in Merchandise Inventory is as follows:
Merchandise Inventory Debit $45,000
Opening Inventory Credit $45,000
In the T account of Merchandise Inventory, the beginning balance of $45,000 will be subtracted from the total of the debit amounts in the account.

ii. Add the new balance to Merchandise Inventory

The journal entry to add the new balance to Merchandise Inventory is as follows:
Closing Inventory Debit $57,000
Merchandise Inventory Credit $57,000
In the T account of Merchandise Inventory, the ending balance of $57,000 will be added to the total of the credit amounts in the account.

The year-end adjustment entry for Merchandise Inventory is:

Merchandise Inventory Dr. $57,000 ($57,000 - $45,000)
Income Summary Cr. $57,000 ($57,000 - $45,000)
In the Merchandise Inventory T account, the ending balance is $12,000 (credit balance) since the credit amount of $57,000 exceeded the debit amount of $45,000 by $12,000.
Learn more about journals at: https://brainly.com/question/30720059

#SPJ11

Given a ≠ ± b and (a^2-b^2) / (a+b)=12 find a-b.
(I will give brainliest for helpful answers. Please don't put a link in the answer box.)

Answers

Answer:

[tex] \sqrt{12a \: + \: 12b \: - \: 2ab \: + \: 2b {}^{2} } [/tex]

Step-by-step explanation:

(a²-b²) / (a+b) = 12

a² - b² = 12(a+b)

(a-b)² + 2ab - 2b² = 12a + 12b

(a-b)² = 12a + 12b - 2ab + 2b²

a - b =

[tex] \sqrt{12a \: + 12b \: - 2ab \: + \: 2b {}^{2} } [/tex]

what is the answer someone help me!!!

Answers

Answer:

14.4in so your radius is your third answer

What Is The Difference Between Apparent Capacity And Actual Capacity Of A Glass Vessel? IN SURFACE AREA AND VOLUME!!​?​

Answers

The apparent capacity of a glass vessel refers to its perceived size or volume based on external dimensions, while the actual capacity represents the true volume of the vessel, taking into account both interior and exterior dimensions.

[tex]\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}[/tex]

♥️ [tex]\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}[/tex]

please help me yall, Godbless.

Answers

Answer:

The rate of change or slope is 2

Step-by-step explanation:

Rise over run 2/1

find the area of the rectangle PLUM khan academy

Answers

Answer:

Length x Breadth

Step-by-step explanation:

B
39 m
Use the inverse trigonometric keys
on a calculator to find the measure
of angle A.
А
21 m
с
A=
(Round the answer to the nearest whole number.)

Answers

Answer:

the answer is 20 because you round of 21

PLEASE HELP ME, I HAVE BEEN WAITING FOR A DAAYY!! How old am i if 400 reduced by 3 times my age is 244?

Answers

Answer:

52 years

Step-by-step explanation:

Let

Your age = x

3 times your age = 3 * x

= 3x

The equation can be written as:

400 - 3x = 244

400 - 244 = 3x

156 = 3x

Divide both sides by 3

x = 156/3

x = 52

Therefore,

Your age is 52 years

carter has 37 coins, all nickels and dimes in his piggy bank. The value of the coins is $3.17. How many dimes does carter have?

Answers

n = nickels, d = dimes
Make a system of equations
( n + d = 37 ) 0.05
0.05n + 0.10d = 3.17
0.05n + 0.05d = 1.85
Subtract (elimination method)
0.05d = 1.32, d = 26.4

He has 26 dimes

y = -9x Proportional or Non Proportional

Answers

y=-9x is proportional
No proportional I think

For each j = N, define the functions fj : [0, 2] → R as ri+1 x = [0, 1], fj(x) = min{1, x³+¹} {2 x = (1,2]. (1) Sketch the graph of the functions fo, f1, and f2.

Answers

The graph of the functions fo, f1, and f2 can be sketched as follows: fo(x) is a constant function equal to 1 on the interval [0, 2]. f1(x) is a piecewise function that equals x³ + 1 on [0, 1] and 1 on (1, 2]. f2(x) is a piecewise function that equals 1 on [0, 1] and 2 on (1, 2].

To sketch the graph of the functions fo, f1, and f2, we consider their definitions and the given intervals.

The function fo(x) is a constant function that equals 1 on the entire interval [0, 2]. Therefore, its graph will be a horizontal line at y = 1 throughout the interval.

The function f1(x) is a piecewise function. On the interval [0, 1], it equals x³ + 1, which means it starts at y = 1 when x = 0 and increases as x moves towards 1. At x = 1, there is a jump discontinuity, and the function becomes a constant 1 for x in (1, 2]. Therefore, the graph of f1 will be a curve increasing from y = 1 to some maximum point between x = 0 and x = 1, and then it remains constant at y = 1 for x in (1, 2].

The function f2(x) is also a piecewise function. On the interval [0, 1], it equals 1, so its graph will be a horizontal line at y = 1. At x = 1, there is another jump discontinuity, and the function becomes a constant 2 for x in (1, 2]. Therefore, the graph of f2 will have a horizontal line at y = 1 on [0, 1] and a horizontal line at y = 2 on (1, 2].

By considering the definitions and intervals, we can sketch the graphs of fo, f1, and f2 as described above.

Learn more about horizontal line  here:

https://brainly.com/question/30206752

#SPJ11

Question is in picture

Answers

Answer:

The answer is 32 inches

65 - 33 = 32

32 inches 728-928 for 32 inches

PLZ HELP ASAP WILL MARK BRAINLIEST

Answers

Answer:

72[tex]\sqrt{3}[/tex]

Step-by-step explanation:

The area (A) of a rhombus is calculated as

A = [tex]\frac{1}{2}[/tex] × d₁ × d₂ (d₁ and d₂ are the diagonals )

The diagonals bisect each other at right angles

d₁ = 2 × 6 = 12

Use the tangent ration in the upper left right triangle and the exact value

tan60° = [tex]\sqrt{3}[/tex]

tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{opp}{6}[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by 6 )

opp = 6[tex]\sqrt{3}[/tex] , then

d₂ = 2 × 6[tex]\sqrt{3}[/tex] = 12[tex]\sqrt{3}[/tex]

Thus

A = [tex]\frac{1}{2}[/tex] × 12 × 12[tex]\sqrt{3}[/tex] = 6 × 12[tex]\sqrt{3}[/tex] = 72[tex]\sqrt{3}[/tex]

Type a digit that makes this sentence true!

Answers

Answer:

1

best answer ever be amazing

Independent random samples of 10 released prisoners in the fraud and 10 released prisoners in the firearms offense categories yielded the given information on time served, in months. At the 1% significance level, do the data
provide sufficient evidence to conclude that the mean time served for fraud is less than that for firearms offenses? Assume the population standard deviations are equal.

Let, be the mean time served for fraud μ_2 the mean time served for firearms offenses. What are the correct hypotheses to test?
A. H_o: μ_1=μ_2
H_a: μ_1>μ_2
B. H_o: μ_1≠μ_2
H_a: μ_1=μ_2
C. H_o: μ_1>μ_2
H_a: μ_1=μ_2
D. H_o: μ_1=μ_2
H_a: μ_1≠μ_2
E. H_o: μ_1<μ_2
H_a: μ_1=μ_2
F. H_o: μ_1=μ_2
H_a: μ_1<μ_2
Compute the test statistic,
t = _______(Round to three decimal places as needed.)
Determine the critical value or values. ______
(Round to three decimal places as needed. Use a comma to separate answers as needed.)

Answers

The correct hypotheses to test is (f) H₀ : μ₁ = μ₂; H₁ : μ₁ < μ₂

The test statistic is undefined

The critical value at α = 0.01 is 2.58

What are the correct hypotheses to test?

From the question, we have the following parameters that can be used in our computation:

Mean time served for fraud is less than that for firearms offenses

This means that the hypotheses to test are

H₀ : μ₁ = μ₂

H₁ : μ₁ < μ₂

This is represented with option (f)

Computing the test statistic

The test statistic can be calculated using

z = (x₁/n₁ - x₂/n₂)/√[p(1 - p)/n₁ + p(1 - p)/n₂)

Where p = pooled sample proportion

and p = (x₁ + x₂)/(n₁ + n₂)

The required values are not given

So, the test statistic is undefined

Finding the critical value

Given that

α = 1%

This means that

α = 0.01

The critical value at α = 0.01 is 2.58

Read more about test of hypothesis at

brainly.com/question/14701209

#SPJ4

Pamela rides her bike to the park. If she rides at a speed of 12 miles per hour, it
takes her 45 minutes to get to the park. How long will it take her to get to the
park if she rides at a speed of 8 miles per hour? *

Answers

Answer:

well to tell you its easy 4 me

the lenght of an arc in a circle with diameter 10 inches is 1.25π inches. determine the measure of the arc.​

Answers

Answer:

[tex]the \: angle \: is \: 0.25\pi[/tex]

Step-by-step explanation:

the arc length is equal to the radius x angle (in radians)

[tex]s=ra[/tex]

s= arc length, r= radius and a= the angle

solve for a ; a= s/r; a=

[tex]1.25\pi/5[/tex]

The measure of the arc is 0.25π.

Important information:

Diameter of a circle = 10 inches.Length of arc = 1.25πMeasure of arc:

The formula for arc length is:

[tex]s=r\theta[/tex]

where s is the arc length, r is the radius and [tex]\theta [/tex] is the measure of arc in radian.

The diameter of a circle is 10 inches. So, the radius is 5 inches.

[tex]1.25\pi=5\theta[/tex]

[tex]\dfrac{1.25\pi}{5}=\theta[/tex]

[tex]0.25\pi=\theta[/tex]

Therefore, the measure of the arc is 0.25π.

Find out more about 'Measure of arc' here:

https://brainly.com/question/15138285

Gavin is subdividing land into two plots, where one plot is in the shape of a square and the other plot is in the shape of a rectangle. The square plot of land has a side length of 6x3 feet, and the rectangular plot of land has a length of 3x5 feet and a width of 7x2 feet. Use the properties of exponents to determine the expression that represents the area for each plot of land. Then analyze which plot of land has a larger area if x is 3.

Answers

You have to multiply both of those

what ratio is equivalent to 2/1

Answers

Answer:12 : 6 22 : 11 32 : 16

Step-by-step explanation:

Answer:

4:2

Step-by-step explanation:

Which of the following statistical information about the data is calculated by the Column Statistics tool? Select the two correct answers ,Threshold calculation,Date analysis,Regression analysis,Median calculation

Answers

The correct answer is: Median calculation and Threshold calculation.

Median calculation: The Column Statistics tool can calculate the median of a dataset. The median is the middle value in a sorted dataset. It is a measure of central tendency that divides the data into two equal halves. Calculating the median can provide insights into the central value of a dataset and is less sensitive to extreme values compared to other measures like the mean.

Threshold calculation: The Column Statistics tool can calculate thresholds or cutoff points based on the data. These thresholds define certain conditions or ranges in the data. For example, you can set a threshold to identify data points above a certain value as outliers or flag data points that fall within a specific range. Threshold calculations can be useful for data cleansing, anomaly detection, or creating categorical variables based on certain conditions.

The other options, Date analysis and Regression analysis, are not typically calculated by the Column Statistics tool. Date analysis involves examining patterns and trends related to dates or time, which may require specialized techniques such as time series analysis or date-specific functions. Regression analysis is a statistical technique used to model the relationship between variables and requires more advanced tools or methods beyond basic column statistics.

Learn more about median here:

https://brainly.com/question/30090626

#SPJ11

Write an expression that can be used to find the length of JH and an expression that can be used to find the length of GJ.​

Answers

Answer: JH = 9 sin(35)

not sure about GH...

Step-by-step explanation:

The ratio of opposite side of the triangle hypotenuse side of triangle is equal to sine of angle.

The expression required to fine the length of GJ is,

[tex]\sin 35=\dfrac{GJ}{9}\\[/tex]

The length of the [tex]GJ[/tex] is 5.162 units.

What is right angle triangle?

A right angle triangle is the triangle in which measure of one of the angle is equal to the 90 degrees.

The ratio of opposite side of the triangle hypotenuse side of triangle is equal to sine of angle.

Given information-

In the given triangle shown in the figure,

[tex]\angle JGH=35[/tex]

The angle [tex]\angle HJG[/tex] is right angle, which is equal to the 90 degrees.

As the sum of all the angles of a triangle is equal to the 180 degrees. Thus,

[tex]\angle JGH+\angle HJG+\angle GHJ=180\\[/tex]

Put the values,

[tex]35+90+\angle GHJ=180\\125+\angle GHJ=180\\\angle GHJ=180-125\\\angle GHJ=55[/tex]

In the given triangle, the side [tex]GJ[/tex] is the opposite side of the triangle and [tex]GH[/tex] is the hypotenuse side of the triangle.

Thus the length of the [tex]GJ[/tex] for the right triangle can be given as,

[tex]\sin 35=\dfrac{GJ}{9}\\[/tex]

This is the required expression,

[tex]GJ=\sin 35\times9\\GJ=0.574\times9\\GJ=5.162[/tex]

Thus the length of the [tex]GJ[/tex]5.162 units.

The expression required to fine the length of GJ is,

[tex]\sin 35=\dfrac{GJ}{9}\\[/tex]

The length of the [tex]GJ[/tex]5.162 units.

Learn more about the sides of a right triangle here;

https://brainly.com/question/14517390

you are part of a group of tourists in Yosemite National Park who want to rent bikes to ride around the valley floor. you arrive at the bicycle rental shop and see that there are two different rental plans:

Plan A: $15 initial fee, plus $2 per hour
Plan B: $5 initial fee, plus $4 per hour

The group doesn't know which plan is best for each person, but you volunteer to use your algebra skills to analyze the situation. Define two variables, write and solve a system of equations to answer the following questions.

a) For which people is plan A best? For which people is plan B best?

b) When are the costs of the two plans the same and what is the cost?

Answers

Answer:

a

Step-by-step explanation:

A is the correct answer

can u help pls like pls

Answers

Answer:

E. 16

Step-by-step explanation:

Easy:

Formula: P=2(l+w)

Plug in and solve:

P=2(3+5)

P = 16 (Option E is correct)

The answer is option E 16cm

phoebe compared the cost of books in 9 different stores. $2, $8, $4, $7, $8, $5, $8, $4, $6 what is the median cost of the books?

Answers

The median cost of the books is $6.

To find the median, we first arrange the costs of the books in ascending order: $2, $4, $4, $5, $6, $7, $8, $8, $8. Next, we determine the middle value. Since there are nine values, the middle value is the fifth one, which is $6. Therefore, the median cost of the books is $6.

The median is a statistical measure that represents the middle value of a dataset when it is arranged in ascending or descending order. It is useful in situations where there are outliers or extreme values that could skew the average. By using the median, we can get a better representation of the typical value in the dataset.

To know more about  median click here: brainly.com/question/11237736

#SPJ11

Other Questions
This is a continuation of problem 15. At December 31, Year 2, Beech Corporation still had the same three different products in its inventory. The following table provides updated information for the company's products: Replacement Product Cost 101 Cost $130 $160 $100 202 303 $180 $150 $100 Selling Price $190 $160 $130 Beech Corporation still expects to incur selling costs equal to 5 percent of the selling price. Required: Determine the amount at which Beech should report its inventory on the December 31. Year 2, balance sheet. How would your answer above differ if Beech used U.S. GAAP rather than IFRS? What should you look for if you want to know if your web browser session is secure? If the rate of change of Cl2 is 0.0425M/s, what is the rate of change of NO?2NO(g)+Cl2(g)2NOCl(g) Square One Invitations has its head office in downtown Regina, Saskatchewan. The employees at this location have their $250.00 monthly parking fee, plus GST, paid for by the company. Calculate the bi-weekly parking taxable benefit for the employees. (Preferred stock valuation) The preferred stock of Gandt Corporation pays a $2.50 dividend. What is the value of the stock if your required return is 12 percent? The value of the preferred stock is $ boasting and sleeping are the forerunners of failure meaning TRUE/FALSE Which of the following textual details best shows consistency in Mrs. Chandler's character?A"She was one of the best customers" (paragraph 4)B"there was the cemetery across the street" (paragraph 7)"her own car... facing in the wrong direction" (paragraph 7)D"She was . . . storms" (paragraph 7)E"she had felt it was unique" (paragraph 14) secondary internal sources of data are often not fully exploited by organizations TRUE/FALSE QUESTION 9 1 POINTRon will be finishing his payments on his 8-year, $35,000 student loan and wants to know the amount of interest that hepaid over the course of the loan. The student loan has a 3.8% fixed interest rate that is compounded monthly. Calculate thetotal amount of interest Ron paid, rounding to the nearest cent.Provide your answer below:FEEDBACK one mechanism by ehich ions are specifically transported into the cell is Which section of the incident response plan establishes jurisdiction?Question 1 options:PurposeDefinitionsScopeRoles Cost of quality report A quality control activity analysis indicated the following four activity costs of a hotel: Inspecting cleanliness of rooms $385,875 Processing lost customer reservations 88,200 Rework incorrectly prepared room service meal 44,100 584,325 Employee training Total $1,102,500 Sales are $4,900,000. This information has been collected in the Microsoft Excel Online file. Open the spreadsheet, perform the required analysis, and input your answers in the question below. X Open spreadsheet Prepare a cost of quality report. Round the percents of total quality cost to the nearest whole number and the percents of total sales to one decimal place. Cost of Quality Report Percent of Total Quality Quality Cost Classification Quality Cost Cost X Previous Next > www Prevention Appraisal Internal failure External failure Check My Work 00000 100000 N Percent of Total Sales Inspecting cleanliness of rooms $385,875 Processing lost customer reservations 88,200 Rework incorrectly prepared room service meal 44,100 564,325 Employee training Total $1,102,500 Sales are $4,900,000. This information has been collected in the Microsoft Excel Online file. Open the spreadsheet, perform the required analysis, and input your answers in the question below. X Open spreadsheet Prepare a cost of quality report. Round the percents of total quality cost to the nearest whole number and the percents of total sales to one decimal place. Cost of Quality Report Percent of Total Quality Cost Classification Quality Cost Percent of Total Quality Cost X Previous Next Prevention Appraisal Internal failure External failure Total An effective price ceiling causes a loss of:a)consumer surplus for certain and possibly producer surplus as well.b)producer surplus for certain and possibly consumer surplus as well.c)consumer surplus only.d)neither producer nor consumer surplus. A business renders services to a customer for $26,000 on the account. Which of the following accounts will be debited? a) Cash b) Accounts payable c) Service revenue d) Accounts receivable As more resistors are added in parallel across a constant voltage source, the power supplied by the source as more resistors are added in parallel across a constant voltage source, the power supplied by the source increases for a time and then starts to _____ A customer asked a freight forwarder when the cargo will arrive at MumbayPort if the cargo is ready as follow:Origin City: New YorkTime to Pick Up: February 28th, 2022 6:00 AM, New York time.Cargo: 8 Full ContainerTime to Origin Port: 2 hs by truck, Port of New York Navigation Time, 45 days Plus delaysShipping Mode: by ship using Panama Channel - 4 hours of delay in the Channel Required information [The following information applies to the questions displayed below] Morning Sky, Inc. (MSI), manufactures and sells computer games. The company has several product lines based on the age range of the target market. MSI sells both individual games as well as packaged sets. All games are in CD format, and some utilize accessories such as steering wheels, electronic tablets, and hand controls. To date, MSI has developed and manufactured all the CDs itself as well as the accessories and packaging for all of its products The gaming market has traditionally been targeted at teenagers and young adults, however, the increasing affordability of computers and the incorporation of computer activities into junior high and elementary school curriculums has led to a significant increase in sales to younger children. MSI has always included games for younger children but now wants to expand its business to capitalize on changes in the industry. The company currently has excess capacity and is investigating several possible ways to improve profitability. MMSI is considering outsourcing the production of the handheld control module used with some of its products. The company has received a bid from Monte Legend Co. (MLC) to produce 15,000 units of the module per year for $32.00 each. The following information pertains to MST's production of the control modules: Direct materials $15 Direct labor 10 Variable manufacturing overhead 6Fixed manufacturing overhead Total cost per unit 534 MSI has determined that it could eliminate all variable costs if the control modules were produced externally, but none of the fixed overhead is avoidable. At this time, MSI has no specific use in mind for the space that is currently dedicated to the control module production Required: 1. Compute the difference in cost between making and buying the control module. 2. Should MSI buy the modules from MLC or continue to make them? 3-a. Suppose that the MSI space currently used for the modules could be utilized by a new product line that would generate $27,000 in annual profit. Recompute the difference in cost between making and buying under this scenario. 3-b. Does this change your recommendation to MSI? An Equation Of The Cone Z = (3x + 3y) In Spherical Coordinates is ________1. = /6 2.= /33. = /4 4. = /2 Estimate the area under the graph off(x) = 3\sqrt{}xfrom x = 0 to x = 4using four approximating rectangles and right endpoints. (Round your answers to four decimal places.)R4 = 18.4388Repeat the above question using left endpoints.L4 = ?I need answer to the 2nd problem: L4 = ? Describe all inputs and process required to optimize information flow in the project management