How many different whole numbers between 1 and 150 have exactly 3 different factors?

Answers

Answer 1

There are five whole numbers between 1 and 150 that have exactly 3 different factors. Whole numbers between 1 and 150 with exactly 3 different factors must be the square numbers whose square roots are prime.

To find the complete list begin counting...

skip 1, not prime;

2 is prime and 2 squared is 4;

3 is prime and 3 squared is 9;

skip 4 b/c it is not prime;

5 is prime and 5 squared is 25;

6 not prime;

7 prime and 7 squared is 49;

8 not prime;

10 not prime;

11 prime and squared is 121;

12 is not prime;

13 prime, but squared it is greater than 150.

The complete list is 4, 9, 25, 49, and 121. 4 has 1, 2, 4;

9 has 1, 3, 9;

25 has 1, 5, 25 ;

49 has 1, 7, 49 ;

121 has 1, 11, 121.

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Related Questions

A cylinder has a surface area of about 221.1 square meters and a height of
7.8 meters. What is the approximate radius of the cylinder?
OA. 3.2 meters
OB. 4.5 meters
OC. 2.1 meters
OD. 6.4 meters

Answers

The approximate radius of the cylinder  is 4.5m

Surface area of cylinder

The formula for calculating the surface area of cylinder is expressed as:

SA = 2πr(r+h)

where

r is the radius

h is the height

Given the following parameters

SA = 221.1 square meters

height = 7.8m

Substitute

221.1= 2(3.14)r(r+7.8)

221.1 = 6.28r^2 + 15.6r

Factorize to have

6.28r^2 + 15.6r - 221.6 = 0

On factoring, the value of the radius is 4.5 meters

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Answer:

the answer is A

Step-by-step explanation:

I hope it helps you

Part A
A video streaming company offers two monthly plans.
Plan A: $3 per video viewed, plus a flat rate of $8 per month
Plan B: $5 per video viewed and no additional flat rate

A. Write an inequality to determine when the cost of viewing n videos using Plan A is less than the cost of viewing n videos using Plan B.


Choose...

Choose...

Choose...

Part B

Plan A is less expensive when
Choose...
.

Answers

Greetings from Brasil...

Let Ca be the function for Plan A and Cb the function for Plan B.

According to the problem statement, we can conclude that:

Ca(n) = 3n + 8Cb(n) = 5n

where C is the cost and n is the number of videos

Cost that the user will pay for having watched n videos

Ca = cost of Plan A

Cb = cost of Plan B

Is there any point (n) that Ca will be equal to Cb??? Let's equate the functions to check if there is a common point and if there is, what would it be.

Ca = Cb

3n + 8 = 5n

2n = 8

n = 4

In n = 4 we have a condition for the cost that does not matter Ca or Cb.

I will present 2 ways to solve:

1 - building the graph of the functions and observing the points where the Y axis (cost axis) its smaller

2 - assigning 2 points - below n = 4 and above n = 4 - to observe the cost behavior

1 - see attachment

2 - let's choose the points n = 1 and n = 10 (as already said, n=4 does not matter Ca or Cb - meeting point / intersection point)

n = 1

Ca(1) = 3.1 + 8 = 11

Cb(1) = 5.1 = 5

Ca > Cb, then Cb better to the user

n = 10

Ca(10) = 3.10 + 8 = 38

Cb(10) = 5.10 = 50

Ca < Cb, then Ca better to the user

We can come to the following conclusion:

0 < n < 4 → better use Plan B (in this interval the cost to the user will be lower with Plan B)

n = 4 → It doesn't matter to use Plan A or Plan B.

n > 4 → better use Plan A (for n above 4 the cost to the user will be lower with Plan A)

Help me please I will mark the person as a brainliest.

Answers

Answer:

200 km/hr

Step-by-step explanation:

We can find the speed by dividing the distance by the time taken for the trip.

[tex]\sf \boxed{Speed = \dfrac{distance }{time}}[/tex]

 [tex]\sf r = \dfrac{300}{t}[/tex]

In the above equation, substitute t = 1.5 hours and find the train's rate.

[tex]\sf r = \dfrac{300}{1.5}\\\\= \dfrac{300*10}{1.5*10}\\\\= \dfrac{3000}{15}\\\\r = 200 \ kilometers \ per \ hour[/tex]

HELP ASAP
True or false:

Answers

True because M is the point between the lines

What is the value of the expression below when x=7

Answers

The value of the expression when x = 7 is 70

What are algebraic expressions?

Algebraic expressions are expressions made up of variables, terms, coefficients, factors and constants.

They are also made up of mathematical operations such as addition, multiplication, division, subtraction, etc.

Given the expression;

2x^2- 5x - 3

To determine the the value, we substitute the value of x a 7 into the expression, we have;

2(7)² - 5(7) - 3

expand the bracket

2(49) - 25 - 3

98 - 25 - 3

Find the difference

70

Thus, the value of the expression when x = 7 is 70

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Add. −5/6 + (−2 5/8) Enter your answer as a simplified fraction by filling in the boxes.
WILL GIVE BRAINLIEST!!

Answers

Answer: [tex]-1 \frac{19}{24}[/tex]

Step-by-step explanation:

5/6 + (−2 5/8)=

5/6 + (−2 - 5/8)=

5/6 −2 - 5/8=

(5/6 −2 - 5/8)*24/24=      ==> 24 is the LCM of 6 and 8

[tex]\frac{(5*24/6 -2*24-5*24/8)}{24}[/tex]=

[tex]\frac{(120/6 -48-120/8)}{24}[/tex]=

[tex]\frac{(20-48-15)}{24}[/tex]=

(-28-15)/24=

-43/24 =

(-24-19)/24=

-24/24 -19/24=

-(24/24 +19/24)=[tex]-1 \frac{19}{24}[/tex]

the following is a list of steps for solving a quadratic equation by completing the square. write the correct step number in the blanks. if the leading coefficient is not 1, divide both sides by the coefficient so that the resulting equation has a leading coefficient of 1 . write the equation in the form a x 2 b x

Answers

1-  if the main coefficient isn't always 1, divide each facets by way of the coefficient so that the resulting equation has a leading coefficient of 1.

2- write the equation within the form ax²+ bx = c

3- write the left aspect of the equation because the rectangular of a binomial and simplify the proper side if possible.

4- add the rectangular of half of the coefficient of the linear time period to both aspects of the equation.

5- practice the rectangular root property for equation and solve as usual.

What do you mean by quadratic?

Quadratics can be defined as a polynomial equation of a second degree, which means that it incorporates a minimum of one time period that is squared. it's also referred to as quadratic equations. the general shape of the quadratic equation is: ax² + bx + c = 0.

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Five more than the quotient of eight and two

Answers

Answer:

9

Step-by-step explanation:

a quotient is the result of dividing one number by the other, so we know 8 is being divided by 2

8÷2 is 4

five more just means adding 5

so we are left with 4+5 which =9

The cost to rent a boat is $25 per hour plus a non-refundable $30 deposit

A. write an expression to rent a boat for h hours

B. Evaluate the expression for h=2

Answers

A. f(h) = 25h + 30
B. f(2) = (25 x 2) + 30 = $80

Answer:

A. 25h+30=80

B.25(2)+30=80

It’s probs easy but help pls

Answers

Answer:

frequency =12 and mass x (kg)=20<=x<30

After a 7.5% pay rise Mr Jones salary was £29455. What was his salary before the pay rise?

Answers

Answer:

£27400

Step-by-step explanation:

The original salary of x.

The raise was 7.5% = 7.5/100 = 0.075 of the salary.

The original salary plus the raise is x + 0.075x = 1.075x.

The new salary is £29455.

Therefore,

1.075x = £29455

Divide both sides by 1.075.

x = £27400

Answer: £27400

nth term of the sequence 9 6 3 0 -3 -6​

Answers

Answer:

-3n+12

Step-by-step explanation:

Term to term rule:

9-6=3

6-3=3

3-0=3

term to term rule is -3

-3 x n + 9 - (-3)

-3n + 12

Total number of possible equal parts in a fraction (a) denominator (b) numerator (c) mixed number (d) divisor?

Answers

Denominator: The value in a fraction that appears below the fractional bar and indicates the total number of equal parts.

In a fraction, the value that appears above the horizontal line is referred to as the numerator. It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the vinculum.

A mixed number is a representation of both a whole number and a legal fraction. In most cases, it denotes a number that falls between any two whole numbers.

An integer that totally or partially divides another integer is known as a divisor.

In a division equation, a divisor is represented by the formula

Dividend ÷ Divisor = Quotient.

The correct option is (a).

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5x-5=9x+3 Solve for x

Answers

Answer:

x = -2

Step-by-step explanation:

5x - 5 = 9x + 3

- 5 = 4x + 3

- 8 = 4x

- 8/4 = 4x/4

x = -2


Mo is sorting number cards with ratios. All of these ratios are equivalent to 3:5. Circle the ratios that are not equivalent.
13:15
30:50
7:9
3x:5x
5:3

Answers

Ratios which are not equivalent to 3: 5 are 13: 15, 7:9, 5:3.

As given in the question,

Mo is sorting number cards with ratios

Ratio = 3 : 5

Equivalent ratio to 3 : 5

13 : 15 cannot be reduced.

13 : 15 not equivalent to 3:5

30:50 = (3 ×10) : (5×10)

          = 3:5

7:9  cannot be reduced . It is not equivalent to 3:5

3x:5x = 3:5

5:3 reciprocal of 3:5 .It is not equivalent to 3:5.

Therefore, ratios which are not equivalent to 3: 5 are 13: 15, 7:9, 5:3.

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What sets of elements does the square root of square root of -10 apply to?

Integer

Real number

Rational

Irrational

Natural

Whole

Answers

The square root of - 10 is not a real number but a complex number, an irrational number.

What number set does an element belong to?

Numbers can be classified in real numbers and complex numbers. Real numbers are classified in natural numbers (i.e. 1, 4, 5), whole numbers (i.e. 0, 1, 4, 5), integers (i.e. - 4, -1, 0, 5, 6) and rational numbers (i.e. 5 / 7, 0, - 13 / 3) and part of the irrational numbers (i.e. √3, π) and the rest of irrational numbers are complex numbers (i.e. i 4, - 4 + i 5).

In consequence, the square root of - 10 is not a real number but a complex number, an irrational number.

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If AD=5x+8 and BD=3x-10, what is the length of AB?
A)28
B)148
C)74
D)222

Answers

I think the answer is A 28

One month, a homeowner used 150 units of gas and 520 units of electric for a total of 54.20. The next month he used 210 units of gas and 405 units of electric for a total of 82.35.
I understand the 2 equations are
150g + 520e = 84.20
210g + 405g = 82.35

I dont understand how to get the value of g and e though, like someone said to use 7 to multiply against the first equation and -5 the second, but like where are we getting 7 and -5 from.

Answers

The solution to the system of equations is:

e = 0.109

g = 0.183

How to solve the system of equations?

Defining the variables:

g = cost of the unit of gas.

e = cost of the unit of electricity.

Then the system of equations is:

150*g + 520*e = 84.20

210*g + 405*e = 82.35

Now we want to solve this.

To do so, we need to isolate one of the variables in one of the equations. Let's isolate g in the first one:

g = (84.20 - 520*e)/150

Now we replace that in the other equation so we get:

210*(84.20 - 520*e)/150 + 405*e = 82.35

Now we can solve this for e:

210*(84.20 - 520*e)/150 + 405*e = 82.35

(210/150)*(84.20 - 520*e) + 405*e = 82.35

117.6 - 728*e + 405*e = 82.35

117.6  - 323*e = 82.35

e = (117.6  - 82.35)/323 = 0.109

Then:

g = (84.20 - 520*0.109)/150 = 0.183

Then we can conclude that:

e = 0.109

g = 0.183

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solve the inequality 8 + 3x < 2 + x and 2x + 23 ≤ 11

Answers

Answer:

8 + 3x < 2 + x the answer would be x<-3

2x + 23 ≤ 11 the answer would be [tex]x\leq -6[/tex]

1)  8 + 3x < 2

To solve this, you first want to subtract 8 from both sides to isolate 3x on one side.

This gives you 3x < 2 - 8, which can be simplified to 3x < -6.

After you have this, you want to get x on its own. To do this, divide both sides of the inequality by 3 to get x < -6

2)  2x + 23 [tex]\leq[/tex] 11

For this one, we use the same steps. First, subtract 23 from both sides to isolate 2x, giving us 2x [tex]\leq[/tex] 11 - 23, which we simplify down to 2x [tex]\leq[/tex] -12.

From here, we divide both sides of the inequality by 2 to get x on its own. This gives us x [tex]\leq[/tex] -6

The value of the surface area (in square centimeters) of the cone is equal to the value of the volume (in cubic centimeters) of the cone. The formula for the surface area S of a right cone is S=πr2+πrl, where r is the radius of the base and l is the slant height. Find the height of the cone.

Answers

The height of this cone is 3( 1 +  [tex]\frac{l}{r}[/tex] ). Which have the same volume and surface area.

Given that

The value of the surface area (in square centimeters) of the cone is equal to the value of the volume (in cubic centimeters) of the cone.

The formula for the surface area S of a right cone is S=πr2+πrl, where r is the radius of the base and l is the slant height.

To find

The height of the cone.?

So, according to the question

We have,

The surface area of the cone = The volume of the cone.

We know that

The surface area of the cone,

  S = πr²+πrl

And,

The volume of the cone,

 V = [tex]\frac{1}{3} \pi r^2h[/tex]

So, from question

The surface area of the cone = The volume of the cone

  S = V              

Now, put the all values,

 πr²+πrl =  [tex]\frac{1}{3} \pi r^2h[/tex]

πr(r+ l)  =  [tex]\frac{1}{3} \pi r^2h[/tex]

 (r+l) =  [tex]\frac{1}{3}[/tex] × [tex]\frac{\pi r^2h}{\pi r}[/tex]

 (r+l) =  [tex]\frac{1}{3}[/tex] × rh

 [tex]\frac{3(r+l)}{r}[/tex] = h

  h = 3( [tex]\frac{r}{r} + \frac{l}{r}[/tex] )

   h = 3( 1 +  [tex]\frac{l}{r}[/tex] )

So the height of this cone is 3( 1 +  [tex]\frac{l}{r}[/tex] ).

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Solve the inequality.
x+1>3
0 −4 < x < 2
Ox<-4 orx > 2
O-2 O x < -2 or x > 4

Answers

Answer:

answer of the first one

x+1>3 equal to x>2 by subtracting 1 from each side

so x>2 equal ]2,infinity[

answer of the second

-4<x<2 so the quantity of x is all the numbers from -4 to 2 but when it be greater than or smaller than without saying or equal we put the brackets opened so the result is ]-4,2[

but i can,t understand 3 and 4

Determine which integer in the solution set will make the equation true.

2s − 10 = −12
S: {−1, 0, 1, 2}

−1
0
1
2

Answers

Answer:

- 1 makes the equation true

Step-by-step explanation:

2s - 10 = - 12 ( isolate the term in s by adding 10 to both sides )

2s = - 2 ( divide both sides by 2 )

s = - 1

The integer ion in the solution set will make the equation true is -1. The correct option is a.

What are integers?

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers.

An integer, pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction. Any positive or negative number without fractions or decimal places is known as an integer, often known as a "round number" or "whole number."

Given equation is

2s - 10 = - 12 ( isolate the term in s by adding 10 to both sides )

2s = - 2 ( divide both sides by 2 )

s = - 1

Therefore, the correct option is a, −1.

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HELPP PLEASE IVE STAYED UP ALL NIGHT TRYING TO FIGURE THIS OUT!!!!


In the diagram, points A, B, C, and D are collinear, points C, X, Y, and Z
are collinear, AB = BC = CX = YZ, AD = 54, XY = 22, and XZ = 33. Find
the indicated length.

Answers

Based on the segment addition postulate, we have:

19. AB = 11

20. BD = 43

21. CY = 33

22. CD = 32

23. XC = 11

24. CZ = 44

25. ST = 24

26. AC = 20

How to Apply the Segment Addition Postulate?

Given the following:

AB = BC = CX = YZ

AD = 54

XY = 22

XZ = 33

Applying the segment addition postulate, we would have the following:

19. AB = YZ

YZ = XZ - XY

Substitute

YZ = 33 - 22

YZ = 11

AB = YZ = 11

AB = 11

20. BD = AD - AB

Substitute

BD = 54 - 11

BD = 43

21. CY = XY + CX

CX = AB = 11

Substitute

CY = 22 + 11

CY = 33

22. CD = AD - 2(AB)

CD = 54 - 2(11)

CD = 32

23. XC = AB = 11

XC = 11

24. CZ = CX + XY + YZ

CZ = 11 + 22 + 11

CZ = 44

25. 4x + 12x = 32 [segment addition postulate]

16x = 32

x = 2

ST = 12x = 12(2)

ST = 24

26. 14 + 3x - 4 = 4x + 4 [segment addition postulate]

10 + 3x = 4x + 4

10 - 4 = 4x - 3x

6 = x

x = 6

AC = 4x + 4 = 4(6) - 4

AC = 20

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I need to find the values of X

Answers

Answer:

[tex](f + g)( \times ) = { \times }^{4} [/tex]

in the dominican republic in august, the distribution of daily high temperature is approximately normal with mean 86 degrees fahrenheit (°f). approximately 95% of all daily high temperatures are between 83°f and 89°f. what is the standard deviation of the distribution? 1°f 1 degree fahrenheit 1.5°f 1.5 degrees fahrenheit 2°f 2 degrees fahrenheit 3°f 3 degrees fahrenheit 6°f

Answers

The standard deviation of the distribution = 1.5°F

Given that the distribution of daily high temperature is approximately normal.

Population mean, [tex]\mu[/tex] = 86°F

Also approximately 95% of all daily high temperatures are between 83°F and 89°F.

So here [tex]X_1[/tex] = 83°F and [tex]X_2[/tex] = 89°F

We have the z - statistic ,

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

where [tex]\sigma[/tex] is the Standard deviation.

For 95% probability, the z-value for normal distribution is 1.96.

As we consider the positive z-value, take X =  [tex]X_2[/tex] =  89°F

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

⇒  [tex]\sigma = \frac{x-\mu}{z} = \frac{89-86}{1.96} =1.53[/tex] ≈ 1.5°F

So the standard deviation of the distribution = 1.5°F

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HELP MEEEEEEEE I WILL GIVE BRAINLIST 2 AND EXTRA POINTS

why do 3 wholes 1/2- 4 wholes 7/8 = 3/8


PLEASE HELPPPPPPPPPP

Answers

3 1/2 subtracted from 4 7/8 is equal to 3/8.

What is the value of the subtraction?

A fraction is a quantity that is not a non-integer. A fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below. An example of a fraction is 1/2.

A mixed number is a number that has a whole number and a proper fraction. A proper fraction is a fraction is which the numerator is less than the denominator. An example of a mixed number is 3 1/2.

Subtraction is the mathematical operation that is used to determine the difference of two or more numbers. The sign used to represent subtraction is -.

[tex]3\frac{1}{2} - 4\frac{7}{8}[/tex]

[tex]-1\frac{4 - 7}{8}[/tex]

[tex]-1\frac{-3}{8}[/tex] = 3/8.

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Please help due in 20mins

Answers

Using the common factors, the expression can be rewritten as follows:

1 / 4 xy (x² + 3y)

How to rewrite an expression using common factors?

The expression can be represented as follow using common factor.

1 / 4 x³y + 3 / 4 xy²

Using the common factors,

The common factors of 1 / 4 x³y  and  3 / 4 xy² is 1 / 4 xy.

Therefore,

1 / 4 x³y + 3 / 4 xy² = 1 / 4 xy (x² + 3y)

Therefore, rewriting 1 / 4 x³y + 3 / 4 xy² using the common factors is 1 / 4 xy (x² + 3y).

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Four times a​ number, subtracted from 8​, is twice the number. Find the number.

Answers

Answer:

3/4 or 0.75

Step-by-step explanation:

8-4x=2x

-4x-2x=-8

-6x=-8

x=-6/-8

=3/4 or 0.75

-11 to the power of 0

Answers

-11 to the power of 0 is 1

If BE−→ bisects ∠ABD and m∠ABD = 62°, find m∠ABE.

Answers

Answer:

31°

Step-by-step explanation:

A bisector splits an angle into two congruent parts.

Other Questions
What are the reasons Flat Earther's use to prove their claim? Then from five thousand throats and more there rose a lusty yell; It rumbled through the valley, it rattled in the dell; It pounded on the mountain and recoiled upon the flat, For Casey, mighty Casey, was advancing to the bat. There was ease in Casey's manner as he stepped into his place; There was pride in Casey's bearing and a smile lit Casey's face. And when, responding to the cheers, he lightly doffed his hat, No stranger in the crowd could doubt 'twas Casey at the bat. Ten thousand eyes were on him as he rubbed his hands with dirt; Five thousand tongues applauded when he wiped them on his shirt; Then while the writhing pitcher ground the ball into his hip, Defiance flashed in Casey's eye, a sneer curled Casey's lip. Read the excerpt from Casey at the Bat by Ernest Lawrence Thayer. Discuss how the rhyme pattern affects how you read the poem. Does it makes it easier or harder to read? What is the rhythmic pattern? Is it consistent, like a sing-song pattern or does it change? How does the punctuation affect your reading? (This is a essay) Find the equation of the line which passes through (4,1) and is parallel to the line with equation 2y=x+1 convert into power notation (-2197) 100!!! points pls helpPROJECT: FORENSIC PATHOLOGYAssignment Introduction:In this lesson, you have learned about coroners and forensic pathology. You have also been able to observe what goes on inside the work area of a forensic pathology laboratory. Is this something you could see yourself doing? Would you enjoy the work?Assignment Directions:Part 1: Working as a Coroner in 12th Century England Compared With a 21st Century Forensic PathologistWrite at least 300 words (5 paragraphs) comparing the two professions. Which of the two would you prefer to work in and why? Describe some of the job expectations that would be difficult for you to perform?Part 2: Working ConditionsMake a list which describes the working conditions of the position you chose in Part 1.Assignment Guidelines:Part 1: Your response must:Cite specific items from the lesson regarding both the coroner's and forensic pathology.Responses must be 5 paragraphs (300 words) in length.Part 2: Your response must:Cite specific items relating to either the coroner's or forensic science profession.Responses can be in the form of bulleted lists.Submission Requirements:For all assignments, remember to:Proofread for spelling, grammar, and punctuation.Use complete sentence structure and standard written English. Do not use texting abbreviations or other shortcuts.Paragraphs must have a minimum of six sentences. 12. Ben and Jerry invest $50 000 and $75 000 respectively in the same bank.If the rate is 8%, how many whole years will it take for Ben to cross the amount of money that Jerry would have in 2 years? Question 1Convert 4136mg to g4136mg x 1. Yu Yan competes in a sprint triathlon. The race consists of three parts: a 0.5-mile swim, a12.4-mile bike ride, and a 3.1-mile run.a. Yu Yan completes the swim portion of the sprint triathlon in 25 minutes. What is her averageswimming speed in miles per minute? psychologists examine the differences between automatic and controlled processes in thinking. multiple choice question. a) cognitive b) biological c) behavioral The sum of59and six times a number is equal to2subtracted from seven times the number. Find the number. A sociologist says, typically, men in a certain country still earn more than women. What does this statement mean?. What is the perspective of the story why I lied to everyone in highschool about knowing karate Given: f ( x ) = 2x - 7 and g ( x ) = x 2 + 2x - 3, find f ( x ) + g ( x ) the ebony column: classics, civilization, and the african american reclamation of the west by e. ashley hairston pdf Amy paid $66.94 for a pair of running shoes during a 15%-off sale. What was the regular price?... A document that details the plan of a governmentDebtorConstitutionMigrationCharter determine whether the underlined numerical value is a parameter or a statistic. explain your reasoning. in a sample of 12000 students Jasmine is driving a car and has a mass of 60 kg. Laura is her passenger and has a mass of 90 kg. Jasmine suddenly brakes to avoid hitting a deer. Who experiences the greatest force due to the seatbelt?Jasmine. She has the least mass.Laura. She has the greatest mass.Laura. She has the greatest speed.Jasmine. She has the least speed. Consider Sn = 1/2 + 1/4 + 1/8 + 1/16 +...+ 1/2^n a Find S1, S2, S3, S4 and S5 in fractional form b From A guess the formula for Sn c Find Sn using Sn= u1(1-r^n)/1-r d Comment on S, as n gets very large. e What is the relationship between the given diagram and d? to generate a coherent plan, goals and objectives will have to be modified, and priorities will have to be established.