Answer:
3(x + 8y)
Step-by-step explanation:
3 is the highest term that can be factored out; there are no other numbers/variables in common.
Factor out 3 from 3x + 24y.
= 3(x+8y)
The factored form of the given expression is 3(x+8y).
What are factors?A factor is a number that divides into another number without a remainder. So, for example, 5 is a factor of 20 because 20/5 = 4. There is no remainder. You can also think of factors as the numbers that you multiply together in order to obtain a product.
Given is an expression 3x+24y, we need to find the factors of the given expression,
3x+24y
Since, 3 is the highest term that can be factored out; there are no other numbers/variables in common.
Factor out 3 from 3x + 24y.
= 3(x+8y)
Hence, the factored form of the given expression is 3(x+8y).
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Question 12 Multiple Choice Worth 5 points)
(05.05 MC)
Shine has some money in his account. Every month, he uses the same amount of money from his account to pay for his music classes. The table below shows the amount of
money left in his account after a certain amount of time, in months
Shine's Savings
Month (x) Amount (dollars) (y)
0
190
1
145
N
100
3
55
What is the balue of the rate of change of the function for this table and what does it represent in this situation?
O S45 per month, the initial amount of money in the account
O-S190 per month, the amount of money withdrawn per month
O $190 per month, the initial amount of money in the account
0-S45 per month, the amount of money withdrawn per month
Rai compares the fee structure for two different art classes. which equation can be used to solve for the number of classes, c, for which class a and class b cost the same?
Answer:The answer is 40c=25c+60
Step-by-step explanation:
130-inch board is cut into two pieces. One piece is four times the length of the other. Find the lengths of the two pieces.
then 130÷4=3.5 for the first piece and 130-3.5=9.5
Consider a Feistel cipher composed of sixteen rounds with a block length of 128 bits and a key length of 128 bits. Suppose that, for a given k, the key scheduling algorithm determines values for the first eight round keys, k1,k2,…k8, and then sets k9=k8, k10=k7, k11=k6,…, k16=k1 Suppose you have a ciphertext c. Explain how, with access to an encryption oracle, you can decrypt c and determine m using just a single oracle query. This shows that such a cipher is vulnerable to a chosen plaintext attack. (An encryption oracle can be thought of as a device that, when given a plaintext, returns the corresponding ciphertext. The internal details of the device are not known to you and you cannot break open the device. You can only gain information from the oracle by making queries to it and observing its responses. )
Answer:
it should be A
Step-by-step explanation:
because yes.
The given Feistel cipher's predictable key scheduling algorithm, where later round keys are derived from earlier ones, exposes a vulnerability.
The given Feistel cipher with sixteen rounds, a block length of 128 bits, and a key length of 128 bits is designed with a vulnerability that can be exploited using a chosen plaintext attack. The vulnerability lies in the key scheduling algorithm, where the later round keys are derived from the earlier ones in a predictable manner.
Here's how an attacker can decrypt a ciphertext c and determine the corresponding plaintext m using just a single oracle query, demonstrating the vulnerability to a chosen plaintext attack:
Initialization: The attacker starts by selecting a random plaintext p of 128 bits. They use an encryption oracle to obtain the corresponding ciphertext c'.
Oracle Query: Now, the attacker constructs a modified ciphertext c'' by flipping a single bit in the ciphertext c'. This effectively changes a single bit in one of the blocks after the final round of encryption.
Decryption Query: The attacker submits the modified ciphertext c'' to the encryption oracle. The oracle performs the decryption process, which involves reversing the encryption rounds.
Observation: The attacker now has two pieces of information:
The oracle's response for the modified ciphertext, which corresponds to the decrypted value of c''.
The decrypted value of c', which is equivalent to the original plaintext p.
Exploiting Vulnerability: Due to the predictable key scheduling algorithm, the attacker knows that the same round keys are used in both the decryption of c'' and the decryption of c' (which is equal to p). The attacker can observe the differences between the decrypted values of c'' and c', and from these differences, they can infer how the cipher processed the specific bit that was flipped.
Backtracking and Deriving Key Information: By analyzing the differences in the decryption results, the attacker can infer information about the round keys used in the process. Specifically, they can determine the values of the round keys used in the earlier rounds, up to round 8.
Reconstructing Decryption Process: Armed with the round key information, the attacker can reconstruct the decryption process used by the cipher. They know the round keys for rounds 1 to 8, and due to the vulnerability in the key scheduling algorithm, they can deduce the round keys for rounds 9 to 16.
Decrypting the Ciphertext: With a complete understanding of the decryption process, the attacker can decrypt the original ciphertext c to obtain the corresponding plaintext m.
This attack demonstrates that the vulnerability in the key scheduling algorithm and the predictable nature of key derivation lead to a situation where an attacker can determine the round keys with just one oracle query. This makes the cipher susceptible to chosen plaintext attacks, undermining its security.
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can someone help with this problem 19r+1=20 need help
Answer:
r = 1
Step-by-step explanation:
We need to isolate r, so first subtract 1 from both sides to get 19r = 19. Divide both sides by 19 to get r = 1
simplify the expression. The expression (2-d)6 is the same as
Answer:
-1
Step-by-step explanation:
The graph shown below expresses a radical function that can be written in
1/n
the form f(x)= a(x + k)
+C. What does the graph tell you about the
value of n in this function?
5
4:
---
Finni
The value of n given the form of the function is (b) positive odd number
How to interpret the graph?The form of the graph is given as:
f(x) = a(x + k)^1/n + c
For the given graph, we have the following features:
a > 0 --- a is positivek > 0 --- k is positivec < 0 --- c is negativeIf n is an even number, the function would be undefined because the even root of a number is undefined
However, the function is defined if n is an odd number,
Hence, the value of n given the form of the function is (b) positive odd number
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Answer:
B. positive odd integer
Step-by-step explanation:
Helen had $330 in her savings account when Vince opened a savings account with zero dollars. Helen deposited $30 into her account each week for x weeks. Vince deposited $50 into his account each week for x weeks. The accounts did not earn interest. Which inequality represents this situation when the amount of money in Helen's account was greater than the amount of money in Vince's account? A. 30x < 330 + 50x A. , 30x < 330 + 50x B. 50x > 330 + 30x B. , 50x > 330 + 30x C. 30x > 330 + 50x C. , 30x > 330 + 50x D. 50x < 330 + 30x
Answer:
[tex]50x < 330 + 30x[/tex]
Step-by-step explanation:
Given
Helen:
[tex]Base\ Amount = \$330[/tex]
[tex]Weekly = \$30[/tex]
Vince:
[tex]Base\ Amount = \$0[/tex]
[tex]Weekly = \$50[/tex]
First, we need to determine Helen's and Vince's balance at x weeks.
[tex]Balance = Base\ Amount + Weekly\ Earnings * x[/tex]
For Helen:
[tex]Balance = 330 + 30 * x[/tex]
[tex]Balance = 330 + 30x[/tex]
For Vince:
[tex]Balance = 0 + 50 * x[/tex]
[tex]Balance = 50x[/tex]
As an inequality, we have:
[tex]Helen > Vince[/tex]
[tex]330 + 30x > 50x[/tex]
Reorder
[tex]50x < 330 + 30x[/tex]
X=???????
Please help me and find X
Answer:
the answer to your question is x equals 99
Help! solve the following expression when d=6 and e=2
4e+d+12-e2e
i hate math someone help
Answer:
18
Step-by-step explanation:
17/35 divided by 9/10=17/35 x ?
Answer:
17/35 divided by 9/10=34/63
Step-by-step explanation:
Answer:
[tex] \frac{34}{63} [/tex]
Step-by-step explanation:
[tex] \frac{17}{35} \div \frac{9}{10} = \frac{17}{35} \times \frac{10}{9} = \frac{17 \times 10}{35 \times 9} = \frac{34}{63} [/tex]
The mass of a basket with 25 chocolate bars is 1110g. The mass of the empty basket is 310 g. A. What is the mass of 1 chocolate bar? b. What is the mass of the basket with 105 chocolate bars?
Answer:
A. 32 g
B. 3670 g
Step-by-step explanation:
Basket + 25 bars: 1110 g
Basket: 310 g
25 bars: 1110 g - 310 g = 800 g
1 bar: 800 g / 25 = 32 g
105 bars: 105 × 32 g = 3360 g
Basket + 105 bars: 310 g + 3360 g = 3670 g
Answer:
A. 32 g
B. 3670 g
A body builder consumed 4,400 calories yesterday. Today, he consumed 3,600 calories.
What is the percent decrease in number of calories consumed? Round to the nearest percent.
4400 - 3600 = 800
Decrease = 800 Calories
Original value was 4400 Calories.
Now,
[tex]\frac{800}{4400}[/tex]×[tex]100[/tex]
[tex]=\frac{2}{11}[/tex]×[tex]100[/tex]
[tex]=\frac{200}{11}[/tex]×[tex]18.8[/tex]%
After Rounding off,
Decrease percentage will be 18 %
Thanks!
Mark me brainliest!
Bill's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 5 adult tickets and 14 student tickets for a total of $198. The school took in $156 on the second day by selling 10 adult tickets and 8 student tickets. Find the price of an adult ticket and the price of a student ticket.
Answer: The price of an adult ticket = $6
The price of a student ticket = $12
Step-by-step explanation:
Let the price of an adult ticket be a
Let the price of a student ticket be b.
From the question,
5a + 14b = 198 ...... equation i
10a + 8b = 156....... equation ii
Multiply equation i by 10
Multiply equation ii by 5
50a + 140b = 1980 ...... equation iii
50a + 40b = 780 ....... equation iv
Subtract iv from iii
100b = 1200
b = 1200/100
b = 12
Put the value of b into equation ii
10a + 8b = 156
10a + 8(12) = 156
10a + 96 = 156
10a = 156-96
10a = 60
a = 6
The price of an adult ticket = $6
The price of a student ticket = $12
6. Trapezoid DEFG with vertices D(-5, 15), E(10, 10), F(10,5), and G(-5,0):
k = 1/5
Answer:
D (-1,3)
E (2,2)
F (2,1)
G (-1,0)
Step-by-step explanation:
Multiply each point by 1/5.
Or think of it as dividing each point by 5
D (-5,15) divide -5 by 5 get -1, divide 15 by 5 get 3
so, (-1,3)
The coordinate of the new trapezoid will be D'(-1, 3), E'(2, 2), F'(2, 1), and G'(-1, 0).
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.
Trapezoid DEFG with vertices D(-5, 15), E(10, 10), F(10,5), and G(-5,0).
The scale factor will be 1/5. Then the coordinate of the new trapezoid will be given as,
D' = (-5/5, 15/5) = (-1, 3)
E' = (10/5, 10/5) = (2, 2)
F' = (10/5, 5/5) = (2, 1)
G' = (-5/5, 0/5) = (-1, 0)
The direction of the new trapezoid will be D'(- 1, 3), E'(2, 2), F'(2, 1), and G'(- 1, 0).
The diagram is given below.
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Please Helppp Ill give brainlest
Answer:
Your answer is 15
Step-by-step explanation:
12 x 3 = 36
So..
5 x 3 = 15
What u do to the bottom you do to the top.
You put $3000 in a CD (certificate of deposit) at the promotional rate of 5.6%. How long will it take to earn $336 in interest? years
Answer:
Simple interest counts interest on principal amount only. The time it will take to earn $336 in interest for given scenario is 2 years.
Step-by-step explanation:
The width of the rectangle shown below is 6 inches (in.).
The length is 2 feet (ft).
What is the area of the rectangle in square inches?
Answer:
144 in.²
Step-by-step explanation:
To convert ft to in. multiply ft by 12.
That means that 2 ft = 2 ft × 12 = 24 in.
width = 6 in.
length = 2 ft = 24 in.
area = length × width
area = 24 in. × 6 in.
area = 144 in.²
A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches.
Use π = 3.14.
What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work.
Answer:
I have been working with
Step-by-step explanation:
pm
Reply
Answer:
Step-by-step explanation:
Cone:
radius r = 4 inches
height h = 18 inches
volume = πr²h/3 = (3.14)(4²)(18)/3 ≈ 301.44 cm³
Cylinder:
r = 4 inches
h = 3 inches
volume = πr²h = (3.14)(4²)(3) = 904.32 cm³
Volume of cylinder is three times the volume of cone.
Answer:
Cylinder volume = 150.80 in
Cone volume = 301.44 in
Step-by-step explanation:
Cylinder volume = πr²h
v= π (4)²(3)
v= π (16)(3)
v= 48π
v= 150.80 in
Cone volume: ⅓πr²h
v= ⅓π(4)²(18)
v= 96π
v= 301.44 in
Max lost 23 pounds while on a diet. He
now weighs 184 pounds. Write and solve
an equation to find his initial weight w.
What are the x and y intercepts of a line described by the following equation? Please show your work for calculating the the x and y intercept:
-4x + 2y = 6
21
15
X = ?
A. 6 units
B. 3V74 units
C. 3V35 units
D. 616 units
Answer:
C. 3V35 units
Step-by-step explanation:
it is what it is
Driver's Delight is considering building a new circular track with a diameter of 150 feet, what is the circumference of the track
Answer:
C ≈ 471.24
Step-by-step explanation:
Using the formula C= 2(pi)r we must find the radius first. Radius is half the diameter, which is 150 in this equation. We plug in c = 2(pi)75, and solve from there :)
Given that (x+3)
= 16, determine the value of x2 + +without solving the equation.
.
Answer:
==>(x+3) = 16
==> x + 3 = 16
make x the subject of formula
=> x = 16 - 3
subtract 3 from 16
=> x = 13
Pleas help fast!!!!!
Answer: your answer would be 7/16 .!
Step-by-step explanation: i hope you do well, good luck <33 .
Answer:
7/16
Step-by-step explanation:
No. of oranges = 4
No. of apples = 9
No. of pears = 3
Total no of fruits = 16
Probability that she selects oranges or pear
= (No of oranges and pears)/Total no of fruits
=(4+3)/16
= 7/16
write 9.68 x 104 in standard form?
Answer:
1006.72
Step-by-step explanation:
Multiply 9.68 by 104
May you please send help for this answer?
-6 is less than w, and w is less than 8
Answer:
-6<w<8
Step-by-step explanation:
-6<w<8
Yuri is shopping for new workout clothes. He picks up a shirt for $12.50 and two pairs of shorts for $14.75 each. His total, with tax, is $44.31. Which equation will help him determine the tax rate, x?
The equation that can be used to determine the tax rate, x is ;44.31 = 42 + (x% of 42) where x = 5.5%
How to write equationCost of a shirt = $12.50Cost of each shorts = $14.75Cost of two shorts = 2 × $14.75= $29.5
Total cost = $12.50 + $29.5= $42
Tax rate = x%Total amount paid = $44.31Total = total cost + x% of total cost
44.31 = 42 + (x% of 42)
44.31 = 42 + 42x/100
44.31 - 42 = 42x/100
2.31 = 42x / 100
x = 2.31 ÷ 42/100
= 2.31 × 100 /42
= 231/42
= 5.5%
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Plz help i need it done fast