To encode a message, James first replaces each letter within the message with its
corresponding number, where A = 1, B = 2, · · · , Y = 25, and Z = 26. Next, James
multiplies each number by 3 and then subtracts 5, and continues this process a total
of n times. For example, when n = 2 the letter D is encoded to the number 16.
If James encoded a four letter message to the four numbers 367 205 853 1339, what
is the value of n that he used?
(A) 2 (B) 3 (C) 4 (D) 5 (E) 6

Answers

Answer 1
A is the correct answer
Answer 2

The value of n is 4. That means, the process is applied 4 times.

What is multiplication?

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

To encode a message,

James first replaces each letter within the message with its corresponding number, where A = 1, B = 2, · · ·, Y = 25, and Z = 26. Next, James multiplies each number by 3 and then subtracts 5, and continues this process a total of n times.

To find the value of n:

We use process inversely.

Let m be the given number.

For example,

m = 16

The inverse process;

add 5 and then divide by 3 until we get the whole number.

So, first time

(16 + 5)/3 = 21/3 = 7,

Second time applying process,

(7+5)/3 = 4.

And the corresponding letter is D.

And the value of n is 2.

Now, m = 367

Applying process inversely,

First time,

(367 + 5) / 3 = 124

Second time,

(124+5)/3 = 43

Third time,

(43+5)/3 = 16

Fourth time,

(16+5)/3 = 7

m = 205

Applying process inversely,

First time,

(205+ 5) / 3 = 70

Second time,

(70+5)/3 = 25

Third time,

(25+5)/3 = 10

Fourth time,

(10+5)/3 = 5

m = 853

Applying process inversely,

First time,

(853+ 5) / 3 = 286

Second time,

(286+5)/3 = 97

Third time,

(97+5)/3 = 34

Fourth time,

(34+5)/3 = 13

m = 1339

Applying process inversely,

First time,

(1339+ 5) / 3 = 448

Second time,

(448+5)/3 = 151

Third time,

(151+5)/3 = 52

Fourth time,

(52+5)/3 = 19

We applied the process 4 times.

Therefore, the value of n is 4.

To learn more about the multiplication;

https://brainly.com/question/19634536

#SPJ2


Related Questions

Hey PLZZZZ HELP!

The profits earned in a year by some companies in a city are shown below: Company Profit A $160,000 B $140,000 C $130,000 D $1,120,000 E $150,000 Based on the data, should the mean or the median be used to make an inference about the profits earned by these companies? Mean, because it is in the center of the data Median, because it is in the center of the data Mean, because there are no outliers that affect the mean Median, because there is an outlier that affects the mean

Answers

Answer:

mean because there is an outlier

Step-by-step explanation:

since there is an outlier that affected the mean which is company D, it can only be mean because the outlier is too big.

Mean. It gives a better idea of the profits.

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Solve the following equation.
U + 2 = 4

Answers

Answer:

U=2

Step-by-step explanation:

This is a simple one-step algebraic equation. In algebra to solve equations, you should use the properties of equality. The properties say that an equation remains true as long as the same thing happens on both sides. For this equation, the property of subtracting should be used; this property states that the same number can be subtracted from both sides. To find U, isolate the variable by subtracting 2 from both sides. This leaves U=2.

U +2= 4
-2 -2
U = 2
2 + 2= 4

Please help screen shot bellow.

Answers

-1/4

This will remain its absolute value

Answer:

absolute value is the oppistie of the number so if it is positive is will turn negative so i think the answer is C

Given the table of the following quadratic function, which statement about this function is NOT true?

A. The y-intercept of f(x) is 6.
B. The zeros of the function f(x) are -3 and 1.
C. The minimum of the function f(x) is 8.
D. The axis of symmetry of the function f(x) is x = -1.

Answers

C is the incorrect answer

A football player attempts to kick a football across a field. The path of the football can be modeled by the function h(x) = − 1/225 x^2 + 2/3 x, where x is the horizontal distance from the kick, and h(x) is the height of the football above the ground, when both are measured in feet. How far from the kicker will the football land? Please Help Me!

Answers

Answer:

too complex boy Soo hard

find surface area of the square pyramid!!! pls i need help with explaining!!!!!

Answers

Answer:

39 square yards

Step-by-step explanation:

The base is a square, so the area is 3 x 3 = 9.

Each side is a triangle, and the formula for that is (1/2)(base)(height)

The base of each side is 3 and the height of each is 5. There are 4 of those, so it's 4 x (1/2)(3)(5) = (2)(3)(5) = 30

Add the base and sides

30 + 9 = 39

Answer:

39 yards

Step-by-step explanation:

surface area = A + [tex]\frac{1}{2}[/tex] ps

A = area of the base

p = perimeter of the base

s = slant height

the base of the pyramid is a square, all sides and angles are equal

; 3 yards

; area of a square  = l x w

; area of the base = 9 yd (A)

perimeter of the base ; 3 + 3 + 3 + 3 = 12 yd (p)

slant height = 5 yd (s)

; sub it into the formula

surface area  = 9 + [tex]\frac{1}{2}[/tex] x 12 x 5

surface area = 39 yd

For each pair of points, think about the line that joins them.

For which pair(s) is the line parallel to the x-axis?

Select all correct answers.

Answers

Answer:

fd

Step-by-step explanation:

spañol

Answer:

The answer might be number b

PLS HELP ME
Fine the circumference

Answers

Bgggvhhgfb dgfvvvcfvv

Answer:

2. 153.93804

Step-by-step explanation:

7 squared times pi is 153.93804

Help with math please earn 10 points

Answers

I think it’s the second one

Answer:

Option 3: y = -0.5 + 27

Step-by-step explanation:

Where the + 27 comes from: It comes from where the line starts

Negative slope always goes down, and has negatives. Hence the answer is 3.

PLS HELP MY GRADES CLOSE TOMMORW Which side lengths form a right triangle?

Answers

Letter A is right


Explanation: best of luck

Answer: B

Step-by-step explanation:

giving brainlist for correct

Answers

Answer:

B.

Step-by-step explanation:

6 + 18 = 24

7 + 18 = 25

8 + 18 = 26

9 + 18 = 27

10+18 = 28

All greater than or equal to 24.

Greater than or equal 24

3√3 / √30
step by step pls

Answers

Answer:

3√10/10

Step-by-step explanation:

see the photo

............

Wut that guy said it’s right

Look at the pic below for the question please help!!

Answers

answer:

(bh) (hb)

explanation: this is because to be able to find the area of the triangle, you need to know at least the length of two sides and these are the formulas that you could use to get the area

Bh
HB
I think this is the answer

help pleasee!!!!!!!!

Answers

Answer:

14.2 ounce bottle

Step-by-step explanation:

the 14.2 ounce bottle Is 2 cents cheaper per ounce

It’s 14.2 once bottle

How do I solve this?

Answers

Answer:

We know the width maybe 22ft and at its widest.

IF we say 3 triangles can be fit into a polygon given 2 sides then we 180 x 3 = 560 degree if its 3 rectangles then if it is easier to make 4 rectangles if square shape we can subtract the smaller measures of the missing rectangle.

With triangles;

The number of triangles is always 2 less than that that of its sides.

= 3 triangles + 2 = 5 sides.

The sum of interior angles

(n-2) x 180 = 540 degree

5-2 x 180

To determine the amount of sides; we remember

(n-2) 180

360 = (n-2) 180

+360 = 180 -360 +180

+360 = 180 = (3 triangles with 180)

900/180 = 5 sides.

If we say 5 triangles created with 3 given lengths

then same rule applies n-2 (180)

=7 sides

= if regular shape largest line 22 x 7 = 154 ft sq = Area.

Answer:

374

Step-by-step explanation:

First do the area of the triangle 7 x 22 = 308 308/2 = 154 22 x 10 = 220 220+154 =374

Simplify. 3√3 /√30
step by step

Answers

The answer is 0.9486. See the attachment

Multiply the numerator and denominator by the conjugate.

A conjugate is the inverse of an operation e. g + is the conjugate of -.

therefore the answer is squareroot of 10 divided by 3.

PLEASE HELP ASAP!
Consider the 720 permutations of the numbers 1, 2, 3, 4, 5, 6. In how many of these permutations do exactly 3 of the numbers end up in the positions where they started?

Answers

The set {1,2,3,4,5,6} has a total of 6! permutations

a. Of those 6! permutations, 5!=120 begin with 1. So first 120 numbers would contain 1 as the unit digit.

b. The next 120, including the 124th, would begin with 2.

c. Then of the 5! numbers beginning with 2, there are 4!=24 including the 124th number, which have the second digit =1

d. Of these 4! permutations beginning with 21, there are 3!=6 including the 124th permutation which have third digit 3

e. Among these 3! permutations beginning with 213, there are 2 numbers with the fourth digit =4 (121th & 122th), 2 with fourth digit 5 (numbers 123 & 124) and 2 with fourth digit 6 (numbers 125 and 126).

Lastly, of the 2! permutations beginning with 2135, there is one with 5th digit 4 (number 123) and one with 5 digit 6 (number 124).

∴ The 124th number is 213564

Similarly reversing the above procedure we can determine the position of 321546 to be 267th on the list.

The set {1,2,3,4,5,6} has a total of 6! permutations a. Of those 6! permutations, 5!=120 begin with 1. So first 120 numbers would contain 1 as the unit digit. B. The next 120, including the 124th, would begin with 2. c. Then of the 5! numbers beginning with 2, there are 4!=24 including the 124th number, which have the second digit =1 d. Of these 4! permutations beginning with 21, there are 3!=6 including the 124th permutation which have third digit 3 e. Among these 3! permutations beginning with 213, there are 2 numbers with the fourth digit =4 (121th & 122th), 2 with fourth digit 5 ​​(numbers 123 & 124) and 2 with fourth digit 6 (numbers 125 and 126). Lastly, of the 2! permutations beginning with 2135, there is one with 5th digit 4 (number 123) and

7/15(x+4)+2/15(x+4)=7 1/5

Answers

Answer:

x = 59/3

Step-by-step explanation:

X=59/3
Download the app photo math and it will help

helpppp plzzz...plz give steps

Answers

Answer:

Volume of hemisphere =

[tex] \frac{2}{3} \pi \: r {}^{3} [/tex]

Given volume =

[tex]18\pi \: cube[/tex]

[tex] \frac{2}{3} \times \frac{22}{7} \: {r}^{3} = 18 \times \frac{22}{7} [/tex]

So pi is there on both the sides so it will be cut from both LHS and RHS

[tex] \frac{2}{3} \times r {}^{3} = 18[/tex]

[tex]2 \times r {}^{3 } = 18 \times 3[/tex]

[tex]2 \times r {}^{3} = 54[/tex]

[tex]r {}^{3} = \frac{54}{2} [/tex]

[tex]r {}^{3} = 27[/tex]

[tex]r = 3[/tex]

Therefore value of r=3 inches

If you are helped with my answer pls tag me brianliest I really want it... Plzz

THANK YOU

R=3 inches that’s the answer

pls help im failing lol Which side lengths form a right triangle?

Answers

Answer:

4 4 8

Step-by-step explanation:

b

Answer:

A

Step-by-step explanation:

i did the math and it took forever please mark brainliest :)

jenny picked 40 roses and gave away 10. what percent of roses did she give away?

Answers

The answer is 25%. If you take 40 and multiply by 2.5, it will equal 100. After that you multiply 10 by 2.5 and you get 25.

Answer: 25%

Step-by-step explanation:

HELP PLEASE!!!!!!????

Answers

Answer:

Step-by-step explanation:

c. 235.00 intrest rate

If people send links report them

Please help!!!!!!!!!!!!!!!!!!!!

Answers

1. Corresponding

2. Angle 8
the first one is corresponding
the second one is angle 8

Plz help will be marked BRAINLIEST!
Thanks

Answers

Answer:

a) a + c = 90

d) a + b + c + 30 = 180

e) The angles marked a and b are vertical

f) The angles marked a and c are complementary.

Step-by-step explanation:

A complementary angle is and angle that has a sum of 90 degrees. A vertical angle is 2 angles facing each other, that are completely identical. 180 degrees is the sum of a strait line. 90 degrees is a right angle.

Hope this helps! Have a wonderful rest of your day!

-kiniwih426

kini is correct, have a good day/night !!





-bianca

please help me with the questions below

Answers

Answer:

2) 3/4 of the girls did not have 1 piece bathing suits

3) 4/6 were at the kiddie pool

4) 1/3 was boys

sorry if this was wrong

3/4 of the girls did not have a bathing suit. Since 1/4 of the girls did that would leave 3 out of the four left.

Hi this is 7th grade geometry with screenshot

Answers

Answer:

80

Step-by-step explanation:

ㄥAEC+160=180

ㄥAEC=20

ㄥAEC+x+80=180

20+x+80=180

x=80

There is a more simple method

x+80=160

x=80

It’s 80 because it is and it’s right

which angles are complementary to 3 ? Select all that apply

Answers

Answer:

4

Step-by-step explanation:

4 is the answer………………..

(trigonometry question)
-I'll give branliest as a reward-

Answers

Answer:

AC=2.868

Step-by-step explanation:

using pythagoras theorem

take 35 degree as reference angle

hypotenuse =5 , opposite =AC , adjacent=BC

using sin rule

sin 35=opposite/hypotenuse

0.5735=AC/5

0.5735*5=AC

2.8675=AC

2.868=AC

Ac=2.868 sorry if I am wrong

Write an equation that represents the line. Use exact numbers.

Answers

y = 6/5x -5

6/5 is your slope. Slope is always rise over run or y over x. -5 is the y- intercept. What is y when x is zero.

Y= 6/5x -5
The slope/change is 6/5 and the y-intercept is -5 which is where the line hits the y-axis

Find the value of x please.

Answers

Answer:

83

Step-by-step explanation:

its a guess bc its a right triangle and right triangle is 90 degrees minus 7 is 83

Answer:

I think it is 93 degrees

Step-by-step explanation:

A triangle has a full angle of 180 degrees

47+47 = 94

180-94=86

x-7=86

x = 93

Other Questions
URGENT SOMEBODY PLZ HELP There are 2 gold coins and 45 silver coins in Wyatt's coin collection. What is the ratio of the number of gold coins to the number of silver coins? Inmediatamente antes de explotar la Segunda Guerra Mundial, Hitler hace lo siguiente:invade Austriainvade Rusiainvade Poloniase quita la vida Tryptophan, an essential amino acid, is important in the synthesis of the neurotransmitter serotonin in the body.a. Trueb. False The diagram above illustrates the carbon cycle. Which of the Following components of the diagram represent carbon sinks?A. marine photosynthesis and respiration B. volcanoes and soil carbonC. oceans and fossil carbonD. factories and photosynthesis 200,000 Texas volunteered to fight during WWl; about5,000 Texans die.Is it Economic or social Which statement has the same information that is given for the proof below Select the correct answerConsider event A and event 8. What is the probability that event Boccurs, given that event A has already occurred?OAPB n A)PLA). P(8),P(BA)P(A)OC. P(BA)P(8)ODPIBUA)P(B)ResetNext Select the transition word or phrase that best fills the blank.Required voting will make more Americans vote. ____ it will forcecandidates to appeal to a wider range of voters instead of justfocusing on the ones who are most likely to vote.A. That saidB. On the other hand,C. Furthermore,D. For example 9. In addition to starvation and plague, what internationalevent devastated Europe in the fourteenth century?A. The Avignon PapacyB. The Hundred Years' WarC. The French and English WarD. The Crusades how do i get a negative cube when i calculate density True or False? The statement below could be a counterclaim for the claim Students should not have homework. Having too much homework causes students stress, which negatively impacts their ability to perform well in school. Select one:TrueFalse identify a transformation of a function f(x)=x^2 by observing the equation of the function g(x)=5(x)^2 A bag with 12 marbles has 5 red marbles, 3 yellow marbles, and 4blue marbles. A marble is chosen from the bag at random. What is the probability that it is red? Write your answer as a fraction in simplest form. write a rational number between root2 and root3 I need this as soon as possible please Write a class named Pet, with should have the following data attributes:1._name (for the name of a pet.2._animalType (for the type of animal that a pet is. Example, values are "Dog","Cat" and "Bird")3._age (for the pet's age)The Pet class should have an __init__method that creates these attributes. It should also have the following methods:-setName -This method assigns a value to the_name field-setAnimalType - This method assigns a value to the __animalType field-setAge -This method assigns a value to the __age field-getName -This method returns the value of the __name field-getAnimalType -This method returns the value of the __animalType field-getAge - This method returns the value of the __age fieldWrite a program that creates an object of the class and prompts the user to enter the name, type, and age of his or her pet. This should be stored as the object's attributes. Use the object's accessor methods to retrieve the pet's name, type and age and display this data on the screen. Also add an __str__ method to the class that will print the attributes in a readable format. In the main part of the program, create two more pet objects, assign values to the attirbutes and print all three objects using the print statement.Note: This program must be written using Python language !!!!someone help please?????? Identify whether a debit or credit results in the indicated change for each of the following accounts. a. To increase Landb. To decrease Cashc. To increase Fees Earned (Revenues)d. To increase Office Expensee. To decrease Unearned Revenuef. To decrease Prepaid Rentg. To increase Notes Payableh. To decrease Accounts Receivablei. To increase Common Stockj. To increase Store Equipment InvestigarCules son las transformaciones ms habituales de los alimentos en la cocina?Luego de investigar:Elegir una transformacin que han buscado y escribir los pasos que se deben realizar para dicha transformacin.