The public key is (187, 7) and the private key is (187, 23).
What is the modular multiplicative inverse?To find d, we need to calculate the modular multiplicative inverse of e modulo φ(n), where n = p * q and φ(n) = (p - 1) * (q - 1).
First, we calculate φ(n):
φ(n) = (p - 1) * (q - 1) = 16 * 10 = 160
Next, we need to find d such that:
d * e ≡ 1 (mod φ(n))
To solve this equation, we can use the extended Euclidean algorithm. We start by dividing φ(n) by e and finding the remainder:
160 = 7 * 22 + 6
Then we divide e by 6 and find the quotient and remainder:
7 = 6 * 1 + 1
Next, we express 1 as a linear combination of φ(n) and e using the quotients and remainders we found:
1 = 7 - 6 * 1
= 7 - (160 - 7 * 22) * 1
= 7 * 23 - 160
So, we have d = 23.
Now we can calculate the public and private keys:
Public key: (n, e) = (17 * 11, 7) = (187, 7)
Private key: (n, d) = (17 * 11, 23) = (187, 23)
The public key is given to anyone who wants to send a message to the receiver. The sender uses this key to encrypt the message by raising it to the power of e modulo n.
The private key is kept secret by the receiver and is used to decrypt the message. The receiver raises the encrypted message to the power of d modulo n to recover the original message.
In summary, the public key is (187, 7) and the private key is (187, 23).
Learn more about private key
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Which expression is represented by the model?
4X43
-4X-3
-4x+3
What is the positive value of “x”?
x(x+5)=387
Hint: Use the quadratic formula
Answer:
x= −5−11√13/2, −5+11√13/2Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.
Exact Form:
x= −5−11√13/2, −5+11√13/2
Decimal Form:
x=17.33053201…,
−22.33053201…
Step-by-step explanation:
x(x+5)=387
Simplify
x(x+5).
x^2+5x=387
Subtract 387 from both sides of the equation.
x^2+5x−387=0
Use the quadratic formula to find the solutions.
−b±√b^2−4(ac)/2a
Substitute the values a=1, b=5, and c= −387 into the quadratic formula and solve for x.−5±√5^2−4⋅(1⋅−387)/2⋅1
Simplify.
x=−5±11√13/2
The final answer is the combination of both solutions.
x=−5−11√13/2, −5+11√13/2
The result can be shown in multiple forms.
Exact Form:
x=−5−11√13/2,−5+11√13/2
Decimal Form:
x=17.33053201…,
−22.33053201…
Hope it is helpful....Answer:
[tex]\displaystyle x=\frac{-5+11\sqrt{13}}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Step-by-step explanation:
Step 1: Define
x(x + 5) = 387
Step 2: Identify Variables
Rewrite
[Distributive Property] Distribute x: x² + 5x = 387[Subtraction Property of Equality] Subtract 387 on both sides: x² + 5x - 387 = 0Part: a = 1, b = 5, c = -387Step 3: Solve for x
Substitute in variables [Quadratic Formula]: [tex]\displaystyle x=\frac{-5\pm\sqrt{5^2-4(1)(-387)}}{2(1)}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle x=\frac{-5\pm\sqrt{25-4(1)(-387)}}{2(1)}[/tex][√Radical] Multiply: [tex]\displaystyle x=\frac{-5\pm\sqrt{25+1548}}{2(1)}[/tex][√Radical] Add: [tex]\displaystyle x=\frac{-5\pm\sqrt{1573}}{2(1)}[/tex][Fraction - Denominator] Multiply: [tex]\displaystyle x=\frac{-5\pm\sqrt{1573}}{2}[/tex][Fraction - √Radical] Simplify: [tex]\displaystyle x=\frac{-5\pm 11\sqrt{13}}{2}[/tex]If the formula for finding the area of a rectangle is A=bh, then how could you describe the formula for finding the area of a triangle
Answer:
A=LxW
Step-by-step explanation:
Answer:
El perímetro de un triángulo es igual a la suma de sus tres lados.
b x h
2
4x - 8 - 6x + 10 = ?
Answer:
-2x + 2
Step-by-step explanation:
Answer:
-2x+2
Step-by-step explanation:
This is the farthest this expression can be reduced to, there is no way to solve it
Hope this helps (:
Plz help me with this
Solve the expression:
14. What is 3y +4; when y=2
15. What is 4x + x-10; whenx=6
ASAP pls
Answer:
3*2+4=6+4=10 and 4*6+6-10=24+6-10=30-10=30
Kadin and Silas went to a movie that started at 1:55 p.m. and got out at 4:10 p.m.
How long was the movie?
O A. 3 hr. 15 min.
O B. 2 hr. 55 min.
C. 3 hr. 45 min.
O D. 2 hr. 15 min.
E. 2 hr. 65 min.
Answer:
D
Step-by-step explanation:
4.10pm-1.55pm
=3.70pm-1.55pm
=2hr15min
Help me it is an hw due soon please
Answer:
1st is 1/4 and 2nd is 1/10
Find the measure of Angles A, C, D
Answer:
A= 65 C= 65 and D= 115
Step-by-step explanation:
given a parallelogram .
interior angles sum is 360 degree.
sum of adjacent angles is 180degree.
opposite angles are congruent (B=D).
A + B + C + D = 360
(A + D) + C + 115 = 360 since A and D are adjacent angles .
180 + 115 + C = 360
295 + C = 360
C = 360 - 295
C = 65
D = 115
A = 65
a+b+c+d=360
65 + 65 + 115 + 115 = 360
130 + 230 = 360
360 = 360
5y=2x+5 Y=-x +6
( x, y)
Answer:
Step-by-step explanation:
6/5 + 2x/5= y
3+ 5y/2 = x
When a rocket is launched, it climbs 50 feet for every 13 feet it travels horizontally. Estimate the rocket's distance (Find the missing side of triangle).
Answer:
About 51.6 feet
Step-by-step explanation:
50^2+13^2
Square root of 2669 is 51.66236541
5-c=-9c-6
Anyone know the answer?
Answer:
c=-8/11
Step-by-step explanation:
Logan ran a 200-meter rase in 25.24 seconds, and Scott ran 0.4 kilometer in 52.77 seconds. Who ran faster, Logan or Scott? And at what rate did they run meters per second
Si tenemos un cuadrado cuyos lados miden 1/3 en 7 partes iguales, ¿Cuál es su área?
Answer:
English please?
Step-by-step explanation:
...........
Which of the relations has a domain of {-5, 0, 5}?
A. {(-5, 5), (0, 5), (5,5)}
B. {(0, -5), (0, 0), (0, 5)}
C. {(-5, 0), (0, 5), (1, 0)}
Answer:
B
Step-by-step explanation:
its that how you would look like if you were anime sorry was looking at your pf. have a nice day
Si para introducirun producto al país se pagan $225 por concepto de impuestos y dicho producto cuesta $1,200
Complete question :
si para introducir un producto al país se pagan $225 por concepto de impuestos y dicho producto cuesta $1,200 ¿que porcentaje se cobra por impuesto?
Responder:
18,75%
Explicación paso a paso:
Dado que:
Monto cobrado por impuestos = $ 225
Costo del producto sujeto a impuestos = $ 1200
El porcentaje del precio de costo del producto que se grava:
Sea porcentaje = x%
x% * precio de coste = importe de impuestos
0.01x * $ 1200 = $ 225
12x = 225
x = 225/12
x = 18,75
Por tanto, porcentaje de impuesto = 18,75%
I am going to repeat myself ONE LAST TIME. Please help!
What is the domain of the function y = StartRoot x EndRoot?
HELP ME!!!!!!!!!!! Its the one in the middle
Answer:
[tex]\frac{x3(p+5)}{10p(p-1)}[/tex]
Step-by-step explanation:
BRAINLIEST PLEASE
what is the answer. (11 x -8) + 7(x - 1) can you explain the answer in a sensible way. Thank you
Algebra question
Answer:
11x-8+7x-7
11x+7x-8-7
18x-15
Step-by-step explanation:
You have to solve the problem \frac{3}{4}-\frac{1}{8} 4 3 − 8 1 . After you make the denominators the same, what do you do?
FOR ALL MY POINTS
Answer:
If you are doing subtraction with fractions you need to make a common denominator and subtract the numerators from each other
ex. 1/2 - 1/3
make a common denominator (or find the least common multiple)
3/6 - 2/6
subtract the numerators
take 2 from 3 and put that on top.
Solution 1/2-1/3= 3/6-2/6= 1/6
PLEASE HELP!!!!!!!! Identify the angle of elevation.
Answer:
8
Step-by-step explanation:
Hope it helps you in your learning process.
A ladder is leaning against a building. The distance from the bottom of the
ladder to the building is 20 ft shorter than the length of the ladder. How high
up the side of the building is the top of the ladder if that distance is 10 ft less
than the length of the ladder?
3x - 2y= 5, 4x + 3y= 1
Answer:
x=17 and y=23 DONT SUE ME IF I GET THIS WRONG PLZZ ;-;
Step-by-step explanation:
Answer:
(1, - 1 )
Step-by-step explanation:
Given the 2 equations
3x - 2y = 5 → (1)
4x + 3y = 1 → (2)
Multiplying (1) by 3 and (2) by 2 and adding the result will eliminate y- term
9x - 6y = 15 → (3)
8x + 6y = 2 → (4)
Add (3) and (4) term by term to eliminate y
17x + 0 = 17
17x = 17 ( divide both sides by 17 )
x = 1
Substitute x = 1 into either of the 2 equations and solve for y
Substituting into (2)
4(1) + 3y = 1
4 + 3y = 1 ( subtract 4 from both sides )
3y = - 3 ( divide both sides by 3 )
y = - 1
solution is (1, - 1 )
Choose the statement that describes a way to solve the equation x – 23 = 18.
Answer:
x-23=18
x=18+23
x=41
Step-by-step explanation:
go to - 23 on the other side after equal to the changed sign and find x
libro de matemáticas 1 de secundaria pag 108
porfavor es para hoy ಠ﹏ಠ
con repuesta y todo para mi friend, no mas que las demas no pude contestarlas ya que estava en clase y ahorita estoy haciendo tarea ok
If someone can help that would be great
Answer:
x = 16
Step-by-step explanation:
For the triangle to be isosceles then AB = CB , that is
5x - 9 = 4x + 7 ( subtract 4x from both sides )
x - 9 = 7 ( add 9 to both sides )
x = 16
pregón de servicio
kjjj
Answer:
what
Step-by-step explanation:
Write an equation that models the linear relationship in the graph below
Answer:
y=-4/7x+4
Step-by-step explanation:
hope this helps
Answer:
4/7+4=y
Step-by-step explanation:
y=mx+b
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=47(0.63)
x
Answer:
decay function
percent rate of decrease is 37%
Step-by-step explanation:
I assume the x is the exponent.
[tex] y = 47(0.63)^x [/tex]
The number raised to the exponent x is 0.63 which is between 0 and 1. That means that as x increases, (0.63)^x decreases. That means it is an exponential decay function.
Each unit more in x results in 0.63 being multiplied by the number.
Since 1 - 0.63 = 0.37, the percent rate of decrease is 37%.
Answer:
decay function
percent rate of decrease is 37%
[tex]\sqrt{2x-3} =5[/tex]