Complete the table.
Distance
(ft)
0
EN R
2
37
2

Height
(ft)
a
b
с
d
e

Complete The Table.Distance(ft)0EN R23722Height(ft)abde

Answers

Answer 1

The complete distance in feet on the table are a=6, b=7, c=8, d=7, and e=6.

What is revolution?

In mathematics, a revolution is a full rotation, or a full 360-degree turn. The item starts and ends in the same location during a 360-degree revolution.

The circumference of the wheel is equal to the length of a full revolution, or 2*pi*radius. The whole rotation of the wheel is 360 degrees.

The eight of the point is 6 feet, and the wheel's radius is 1 feet.

The point will be in its initial position, which is 6 feet high.

The height will thus be a = 6 + 0 = 6 ft.

The point will reach half the whole height of the wheel, or 2 feet, when the distance travelled is pi/2.

Height of b = 6 + 1 = 7 feet will result.

The point will be at the top of the wheel, which is 2 feet higher than the lower point of the wheel, when the distance travelled equals pi.

The height will thus be c = 6 + 2 = 8 ft.

The point will be half the whole height of the wheel, or 2 feet, when the distance travelled is 3 pi/2.

The height will thus be d = 6 + 1 = 7 ft.

The point will be in its initial position, which is 6 feet high, when the distance travelled is 2 pi.

The height will thus be e = 6 + 0 = 6 ft.

Hence, the complete distance in feet on the table are a=6, b=7, c=8, d=7, and e=6.

Learn more about circle here:

https://brainly.com/question/11833983

#SPJ1


Related Questions

Anyone know the answer please teach me

Answers

Answer: Look at step by step

Step-by-step explanation:

(a) There are 119 stocks that increased in price out of 246 stocks so the probability of selecting a stock that is increased in price is 119/246 = 48.37%

(b) There are 112 stocks where it pays dividends so the probability so the probability of selecting a stock that pays dividends is 112/246 = 45.53%

(c) There are 49 stocks which satisfy the question so the probability is 49/246 = 19.92%

(e) There are 34 stocks which increase in price and pay dividends out of the 119 stocks that increase in price so the probability is 34/119 = 28.57%

(f) Using the same logic as (e), the probability is 85/134 = 63.43%

(g) From the requirements, we see that 49 stocks don't satisfy the requirements, so the probability is (246-49)/246 = 80.08%

question in the picture below​

Answers

The doubling time after 4 and 7 years is 400 months and 700 months respectively

How to determine the doubling time

The formula for finding doubling time is given as;

Doubling time = [tex]t \frac{In 2}{In 1 + \frac{r}{100} }[/tex]

Where t = time = 4 and 7 years

r = rate

For 4 years, we have

Doubling time = [tex]4 * \frac{In 2}{In ( 1 + \frac{0.7}{100}) }[/tex]

⇒ [tex]4 * \frac{In 2}{In 1. 0074}[/tex]

⇒ [tex]4 * \frac{0. 6931}{0. 0074}[/tex]

⇒ [tex]4[/tex] × [tex]93. 66[/tex]

⇒ 374. 65

⇒ 400 months in the nearest hundredth

For 7 years

⇒ [tex]7[/tex] × [tex]93. 66[/tex]

⇒ [tex]655. 62[/tex]

⇒ 700 months in the nearest hundredth

Thus, the doubling time after 4 and 7 years is 400 months and 700 months respectively

Learn more about doubling time here:

https://brainly.com/question/16407547

#SPJ1

Fill in the blank

Timothy runs a public transportation service in his town. He has learned from his accountant that his organization is a liable to a special kind of tax. Which tax would Timothy have to pay from his organization?
Timothy would have to pay the _______ tax for his transportation service.

Answers

Answer:

road

Step-by-step explanation:

19) Write the scientific notation of 1

Answers

Answer:

1.0 x 10^0

Step-by-step explanation:

The above works because 10^0 = 1, and 1 x 1 = 1.

Brainliest, please :)

The RLX Company just paid a dividend of $2.85 per share on its stock. The dividends are expected to grow at a constant rate of 4.5 percent per year, indefinitely. Assume investors require a return of 10 percent on this stock. What is the current price?

Answers

The current stock price is $54.15.

Given that  RLX Company just paid a dividend of $2.85 per share on its stock and dividends are expected to grow at a constant rate of 4.5 percent per year, indefinitely.

Stock valuation alludes to the valuation of the natural worth per portion of an organization's stock which can help the organization in deciding its reasonable worth in case of twisting up or consolidation. One of the models used to esteem the stock cost is the profit development model. It expects the cost of the stock to be the current worth representing things to come profits of the stock accepted to develop at a consistent rate.

Dividend (D0) = $2.85

Growth rate (g) = 4.5%

Required return (r) = 10%

Firstly, we have to calculate the value of the current stock price.

The current stock price can be calculated by using the dividend growing model.

[tex]\begin{aligned}\text{Current stock price}&=\frac{D_{0}\times(1+g)}{r-g}\\ &=\frac{2.85\times (1+0.045)}{0.10-0.045}\\ &=\frac{2.85\times 1.045}{0.055}\\ &=\frac{2.97825}{0.055}\\ &=54.15\end[/tex]

Hence, the current stock price when dividend of $2.85 are expected to grow at a constant rate of 4.5 percent per year, indefinitely is $54.15.

Learn more about stock price from here brainly.com/question/11708164.

#SPJ1

Name the figure below in two different ways.
Y
Symbol:
and
M
A

Answers

The line segment in the figure can be named as: IYM and MYI.

How to Name a Line Segment?

If we have three points on a line segment, the point on the middle will be the alphabet in the center when naming the line, while the alphabets of both endpoints can be written either at the beginning or ending.

Given the figure above, Y will be at the center. The endpoints are I and M. Therefore, the line segment can be named as: IYM and MYI.

Learn more about naming line segments on:

https://brainly.com/question/16227509

#SPJ1

The board of education has decreed that a maximum student teacher ratio in a classroom be 18:1

If the current school has 235 total students then what is the minimum number if teachers that must be working in your school ?

Answers

Answer:

235÷18=

how many classes of 18 students for each teacher

Step-by-step explanation:


In 2016, Alberta had about 4.2 million people.
Assuming they follow the same population
growth rate, it is predicted they will have 6.65
million people in 20 years. At what rate is the
province's population growing?

Answers

The province's population is growing at the rate of  58.34 %

Rate of change is used to mathematically describe the percentage change in value over a defined period of time, and it represents the momentum of a variable. The calculation for ROC is simple in that it takes the current value of a stock or index and divides it by the value from an earlier period.

Given:

Initial Population = 4.2 million

Population after 20 years = 6.65 million

Change in population = 6.65 - 4.2 = 2.45 million

Rate at which the province's population growing is

= [tex]\frac{Change in population}{Inital Population}[/tex] x100 %

= [tex]\frac{2.45}{4.2}\\[/tex] x 100%

= 58.34 %

Thus the province's population is growing at the rate of  58.34 %

Learn more about Rate here :

https://brainly.com/question/13103052

#SPJ1

Write an equation of the line that passes through the point (4, –5) with slope 2.

answers:
A. y−4=2(x+5)
B. y+5=−2(x−4)
C. y−4=−2(x+5)
D. y+5=2(x−4)

Answers

Answer:

  D. y+5=2(x−4)

Step-by-step explanation:

The point-slope form of the equation of a line is useful for writing an equation for a line through a given point with a given slope.

Point-slope form

The point-slope form of the equation of a line is ...

  y -k = m(x -h) . . . . . . line through point (h, k) with slope m

Application

We want a line through point (h, k) = (4, -5) with slope m = 2. Putting these numbers into the form gives ...

  y -(-5) = 2(x -4)

  y +5 = 2(x -4) . . . . . . simplifying the signs

f(x)=2x. If g(x) is a vertical stretch, compression, and or reflection of f(x) followed by a, what is the equation of g(x)?

Answers

The function g(x) is g(x)= (3x)^2

How to solve for g(x)?

The complete question is in the image

From the graph in the image, we have:

f(x) = x^2

The function f(x) is stretched by a factor of 3 to form g(x).

This means that:

g(x) = f(3x)

So, we have:

g(x)= (3x)^2

Hence, the function g(x) is g(x)= (3x)^2

Read more about function transformation at:

brainly.com/question/10222182

#SPJ1

Otto builds and sells model cars. He made a graph to compare the number of days to the number of model cars. Three of the points form a proportional relationship, but one does not. Which point does not fit in the proportional relationship? Coordinate plane with Number of Days on the x-axis and Number of Model Cars on the y axis. 4 points are plotted in the plane: 2, 1; 4, 2; 6, 2; and 8, 4. A (2, 1) B (4, 2) C (6, 2) D (8, 4)
\
Need HELP ASAP

Answers

Answer:

I have attached a really rough graph!!

Step-by-step explanation:

The point that does not fit in the proportional relationship is (6,2) when we plot the other three points and join the points they will give us a staright line but the point (6,2) isnt lying on that staright line.. Therefore, it does not fit in the proportional relationship!

Answer:

(6,2)

Step-by-step explanation:

Given the drawing, what would the value of x need to be in order
for it to be true that m ||n?
4x + 18
m
7x-21
Be sure to show all calculations and algebraic steps in your re-
sponse.
Hint: What must be true about alternate exterior angles in order
for lines to be parallel?

Answers

[tex]4x + 18 = 7x - 21 \\ 18 + 21 = 7x - 4x \\ 39 = 3x \\ x = \frac{39}{3} = 13 [/tex]

Determine whether the relationship is linear, quadratic, or neither by completing each table. Be sure to give
a reason for your choice.

Answers

The 1st table represents a linear as well as the quadratic relationship, the 2nd table represents neither and the 3rd table also represents neither relationship.

Why do the given tables have the above relationship?The first table is having linear as well as quadratic because the 1st table has its first difference equal as well as the second difference is also equal i.e., why it is linear and quadratic respectively.The second table is having neither because 1st difference is not equal to each other as well as 2nd the difference is also not equal.The third table is having neither because 1st difference is not equal to each other as well as 2nd the difference is also not equal to each other. Therefore, the 3rd table is neither.

Hence, the 1st table represents a linear as well as a quadratic relationship, the 2nd table represents neither and the 3rd table also represents neither relationship.

To learn more about the table, refer to:

https://brainly.com/question/12575620

#SPJ9

A rectangle is 6 meters long and 4 meters wide. What is the area
of the rectangle?

Answers

Answer:

the rectangles area is 24 meters

Step-by-step explanation:

area = length x width

length is 6 using the words long and width is 4

Answer:

area = 24 cm²

Step-by-step explanation:

The area of a rectangle can be found using the formula:

[tex]\boxed {area = length \times width}[/tex].

Substituting the values into the equation:

[tex]area = 6 \space\ cm\times 4 \space\ cm[/tex]

       ⇒ [tex]\bf 24 \space\ cm^2[/tex]

       

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 7.9 years, and standard deviation of 0.9 years.

If you randomly purchase one item, what is the probability it will last longer than 9 years?

Answers

If you randomly purchase one item, the probability it will last longer than 9 years is; 11.12%

How to find the probability from z-score?

The formula for Z-score is;

z = (x' - µ)/σ

where;

x' = sample mean

µ = population mean

σ = standard deviation

Thus;

z = (9 - 7.9)/0.9

z = 1.22

From online p-value from z-score calculator, we have;

probability = 0.1112 = 11.12%

Read more about Z-score probability at; https://brainly.com/question/25638875

#SPJ1

solve the system of equations. y=3x+2 y=x^2-4+2

Answers

The solutions to the system of equations are (4, 15) and (-1,-1)

How to solve the system of equations?

The system of equations is given as:

y=3x+2

y=x^2-4+2

Substitute y=3x+2 in y=x^2-4+2

3x + 2=x^2-4+2

Simplify

x^2 - 3x - 4 = 0

Expand

x^2 + x - 4x - 4x = 0

Factorize

x(x + 1) - 4(x + 1) = 0

This gives

(x - 4)(x + 1) = 0

Solve for x

x = 4 and x = -1

Substitute these values in y=3x+2

y = 3(4)+2 = 15

y = 3(-1)+2 = -1

Hence, the solutions to the system of equations are (4, 15) and (-1,-1)

Read more about system of equations at:

https://brainly.com/question/12895249

#SPJ1

Last PreCalc Question, Need help with writing piecewise functions with graphs. Giving brainliest!

Answers

The piece-wise linear functions can be written as follows:

[tex]f(x) = x, x \leq -2[/tex].[tex]f(x) = -x - 7, -2 < x \leq 1[/tex].[tex]f(x) = 2x - 9, x > 1[/tex].

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For x equal or less than -2, the line passes through (-3,-3) and (-2,-2), hence the rule is:

[tex]f(x) = x, x \leq -2[/tex].

For x greater than -2 up to 1, the y-intercept is of -7, and the line also passes through (1,-8), hence the rule is:

[tex]f(x) = -x - 7, -2 < x \leq 1[/tex].

For x greater than 1, the function goes through (2,-5) and (3,-3), hence the slope is:

m = (-3 - (-5))(3 - 2) = 2.

The rule is:

y = 2x + b.

When x = 2, y = -5, hence:

-5 = 2(2) + b

b = -9.

Hence:

[tex]f(x) = 2x - 9, x > 1[/tex].

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Your last five customer interactions lasted 2, 3, 6, 8, and 4 minutes."
Employee: "That means I've averaged __________ minutes across those 5 interactions."

Answers

Answer:

4.6 minutes

Step-by-step explanation:

Average = the sum of the numbers/ the number of numbers

Plug in the numbers: 2+3+6+8+4/5 = 23/5 = 4.6 minutes

The following table shows Jace's earnings based on the number of hours that he works.
Number of hours 111 222 333
Jace's Earnings \$20$20dollar sign, 20 \$30$30dollar sign, 30 \$40$40dollar sign, 40
Are Jace's earnings proportional to the number of hours that he works?

Answers

Answer:

no

Step-by-step explanation:

because no

Assume a = b and c ≠ 0
Which of the following sentences is not true?

1) a+c=b+c

2) a-c=b-c

3) ac = bc

4) a/c = b/c

5) none of these​

Answers

Answer:

None of these is not true

5) none of these is not true because all of them are actually true.

If the solutions of f(x)=0 are -1 and 2
then find the solutions of f(x/2)=0

Answers

Answer: -2 and 4

Step-by-step explanation:

Let [tex]t=x/2[/tex].

[tex]f(t)=0 \longrightarrow t=-1, 2\\\\\therefore x=-2, 4[/tex]

Find the sum of the geometric series given a1=−1, r=2, and n=7

A. -127
B. -116
C. 1
D. -118

Answers

Answer:

A

Step-by-step explanation:

the sum to n terms of a geometric series is

[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex] , then for n = 7

S₇ = [tex]\frac{-1(2^{7}-1) }{2-1}[/tex] = [tex]\frac{-1(128-1)}{1}[/tex] = - 1 (127) = - 127

A new plasma TV was marked down 20%. The new sale price of the TV was $380. What is the TV’s regular selling price?

Answers

x=regular selling price

X×80/100=380

= X×8/10=380

= 8X=380×10=3800

X=3800/8

X=475

the regular selling price is 475

Before the 20% discount, the TV's regular selling price was $475 as per the concept of percentage.

Let's denote the regular selling price of the plasma TV as "x". When the TV was marked down by 20%, the sale price became $380.

To find the regular selling price, we can set up an equation using the information given:

Sale Price = Regular Selling Price - (Discount Percentage × Regular Selling Price)

$380 = x - (0.20x)

Now, let's solve for "x" (the regular selling price):

$380 = x - 0.20x

$380 = 0.80x

To isolate "x," we divide both sides of the equation by 0.80:

x = $380 / 0.80

x = $475

The regular selling price of the plasma TV is $475.

Therefore, before the 20% discount, the TV's regular selling price was $475. After the discount, the sale price was reduced to $380, which is 20% less than the regular price.

To learn more about the percentage;

https://brainly.com/question/24159063

#SPJ3

There are 20 students in Mrs. Tanya's class and 24 kids in Mrs. Olga's class. The students need to be placed on teams of equal size with students from only their own class. What's the largest size of a team?

Answers

The largest size of a team according to the task content is; 20 kids.

What is the largest size of a team?

It follows from the task content that the population is; 20 students in Mrs. Tanya's class and 24 kids in Mrs. Olga's class.

However, since, the team forming condition states that students be placed on teams of equal size with students from only their own class.

It therefore follows that the largest size of a team is 20 as only 20 students are in Mrs. Tanya's class hence leaving 4 kids in Mrs. Olga's class without a team.

Read more on limiting factor;

https://brainly.com/question/16479356

#SPJ1

An exponential function f ( x ) = a b x f ( x ) = a b x passes through the points (0, 10000) and (3, 2160). What are the values of a and b ?

Answers

The values of a and b of the exponential function are 10000 and 0.6 respectively

How to solve exponential functions?

We are given that the exponential function is expressed in general form as; f(x) = abˣ

where;

a is a non-zero real number called the initial value

b is any positive real number such that

b ≠ 1.

The domain of f is all real numbers.

The range of f is all positive real numbers if a > 0.

The range of f is all negative real numbers if a < 0.

The y-intercept is (0, a)

The horizontal asymptote is; y = 0.

We are told that this exponential function passes through the coordinate points (0, 10000) and (3, 2160).

At coordinate point (0, 10000), we have;

10000 = ab⁰

a = 10000

Now, at the coordinate point (3, 2160), we have;

2160 = 10000(b)³

2160/10000 = b³

0.216 = b³

b = ∛0.216

b = 0.6

Thus, we can conclude that the values of a and b of the given exponential function are respectively 10000 and 0.6.

Read more about Exponential Functions at; https://brainly.com/question/11464095

#SPJ1

Given the coordinates below, what is the midpoint of AB?
A(-6, -10)
B(2,5)

Answers

Given :

[tex] \: [/tex]

A(-6, -10)B( 2, 5)

[tex] \: [/tex]

[tex] \gray{ \frak{The \: given \: two \: \: points \: are(x_{1 },y_{1})=(−6 , -10)and(x_{ 2 },y_{2} )=( 2,5 )\:}}[/tex]

[tex] \: [/tex]

Let's solve by using midpoint formula :

[tex] \: [/tex]

[tex] \bf \boxed{\color{red}\frak{Midpoint \: \: Formula : {( \: x ,\:y \: ) = }( \frak{ \frac{x_{1 } + y_{1}}{2} , \frac{x_{2 } + y_{2}}{2} )}}}[/tex]

[tex] \: [/tex]

[tex] \large \gray{ \frak{( \: x ,\:y \: ) = }( \frak{ \frac{ -6 + 2}{2} , \frac{ - 10 + 5}{2} )}}[/tex]

[tex] \: [/tex]

[tex] \: \large \gray{ \frak{( \: x ,\:y \: ) = }( \frak{ \frac{ -4}{2} , \frac{ - 5}{2} )}}[/tex]

[tex] \: [/tex]

[tex]\large \gray{ \frak{( \: x ,\:y \: ) = }( \frak{ \cancel\frac{ -4}{2} , \cancel\frac{ - 5}{2} )}}[/tex]

[tex] \: \: [/tex]

[tex] \underline{ \boxed{ \large \red{ \frak{option \: d }( \frak{ - 2, - 2.5)}}}}✓[/tex]

Hope Helps! :)

Solution for the attached question below

Answers

The solution to the question is 265.

What is the logarithm of a number?

Logarithm of a number A is the exponent or power or index n, a given number called the base B would be raised to give the number A.

So n is the logarithm of A to base B.

Analysis:

log 2( log2(x-9)) = 3

log2(x-9) = [tex]2^{3}[/tex]

log2(x-9) = 8

x-9 = [tex]2^{8}[/tex]

x-9 = 256

x = 256 + 9

x = 265

Learn more about logarithm: brainly.com/question/25710806

#SPJ1

46.Find the quotient and remainder

Answers

Answer:

30624; 1514,6; a1,6.

An agriculture company is testing a new product that is designed to make plants grow taller. This can be thought of as a hypothesis test with the following hypotheses.

H0: The product does not change the height of the plant.
Ha: The product makes the plant grow taller.
Is the following an example of a type I or type II error?

The sample suggests that the product does not change the height of the plant, but it actually does make the plant grow taller.

Answers

It is an example of Type I error.

About Type I error

The rejection of a null hypothesis (H0) when it is actually true is a Type I error. It is represented by the following condition,

Failure to reject a null hypothesis when it is true that it is false which is a Type II error.

How is this an example of Type I error?

The given case's hypothesis is described as follows:

H₀: The product has no effect on the plant's height.

Hₐ: The substance causes the plant to enlarge.

The sample claims that the product causes the plant to grow taller, however in reality, it has no effect on the plant's height.

Therefore, the sample recommends rejecting the null hypothesis even though it is true. Consequently, a result, this error is a Type I error.

Learn more about Type I error here:

https://brainly.com/question/24320889

#SPJ1

HELPP WILL GIVE BRAINLIEST
which graph represents the function f(x) = sqrt(x) + 3

Answers

Answer:

the real answer is 2 I hope that

Other Questions
which statement explains one way that lakes form?lava flows block a river.streams flow into shallow areas.groundwater feeds into low-lying a Find the range of the following function if the domain is {6, 1, 4}.g(x) = 4x + 2 Rewrite the expression in standard form (use the fewest number of symbols and character as possible) 5g times 7h FILL IN THE BLANK. An iteration involves going back and forth from one ______ to the order. which situation could be modeled as a linear equation The formal requirements for service as a federal judge include 1. The common laboratory solvent chloroform is often used to purify substances dissolved in it. The vapor pressure of chloroform , CHCl3, is 173.11 mm Hg at 25 C. In a laboratory experiment, students synthesized a new compound and found that when 19.92 grams of the compound were dissolved in 228.1 grams of chloroform, the vapor pressure of the solution was 170.63 mm Hg. The compound was also found to be nonvolatile and a non-electrolyte. What is the molecular weight of this compound? chloroform = CHCl3 = 119.40 g/mol.MW = ? g/mol would you be inclined to look at boa logistics more closely if your company had an important logistics need? _____ change occurs frequently, with fewer and shorter periods of stability. question 18 options: a) disruptive b) continuous c) structural d) episodic What is dark matter made of, and how is it possible? FILL IN THE BLANK a/an ____________________________ diagram can be used to show how the tables in a database are defined and related.. A is the event that the student drives.B is the event that the student went to the movies in the past month.A Venn Diagram. One circle is labeled A (A and B Superscript C Baseline 0.06), another is labeled B (A Superscript C Baseline and B 0.22), and the shared area is labeled A and B (0.35). The area outside of the diagram is labeled A Superscript C Baseline and B superscript C Baseline 0.37.What is P(Ac)?0.060.220.590.78Answer is C For this assignment, you will create a time line of key dates and journeys by European explorers. can anyone help me with this?? im confused on what i have to do + what to put down For the subspace below, (a) find a basis for the subspace, and (b) state the dimension. s-2t s+ s, t in R 2t (a) Find a basis for the subspace. A basis for the subspace is (Use a comma to separate answers as needed.) For the subspace below, (a) find a basis, and (b) state the dimension 12a24b -4c 6a -2b -2c 3a5b+c -3a bc a. Find a basis for the subspace. : a, b, c in R A basis for the subspace is (Use a comma to separate vectors as needed.) a variable year_p has been defined as a pointer to integer. write a line which will add 4 to the value referred to by year_p and assign the sum to the (already defined) integer variable grad year. a 20-gram sample of helium at room temperature is placed into a closed container that holds 8 liters. if later the helium is transferred into a 16-liter closed container, which of the gas's properties will change? a. color b. density c. number of atoms d. mass Pls Need this ASAPWhen purchasing a home, you need a loan for $80,000. The interest rate of theloan is 8% and you are required to make monthly payment of $587. research indicates that_____ respond to _______ signals that inform a cell about its position relative to other cells in the embryo (Mango Electronics Inc.) Mango Electronics Inc. is a Fortune 500 company that develops and markets innovative consumer electronics products. The development process proceeds as follows. Mango researches new technologies to address unmet market needs. Patents are filed for products that have the requisite market potential. Patents are granted for a period of 20 years starting from the date of issue. After receiving a patent, the patented technolo- gies are then developed into marketable products at five independent development centers. Each product is only developed at one center. Each center has all the requisite skills to bring any of the products to market (a center works on one product at a time). On average, Mango files a patent every 7 months (with standard deviation of 7 months). The average development process lasts 28 months (with standard deviation of 56 months). a. What is the utilization of Mango's development facilities? [9.6] b. How long does it take an average technology to go from filing a patent to being launched in the market as a commercial product? [9.6] c. How many years of patent life are left for an average product launched by Mango Elec- tronics? Determine whether the series is convergent or divergent.1+122+133+144+155