Decode the following message, which was encrypted using the matrix A. (Include any appropriate spaces in your answer.) [27 39 90 90 23 21 80 60 18 31 99 103 38 51]
Answers
Decoded message is GAE AB JT EQXB SDN.
A more detailed explanation of the answer.
When decoding the message that was encrypted using the matrix A, the appropriate spaces are:
Here's how to do it: The key matrix A will be determined by the equation AX = B.
To solve for A, first multiply both sides of the equation by the inverse of X. A = BX-1.
From there, we can see that A = [1 0 1; 1 1 1; 0 0 1]
To decode the message, it should be split into chunks of three, then multiplied by A's inverse. The inverse of A is A-1 = [-1 0 1; 1 1 -1; 0 0 1]27 39 90 x 23 21 80 x 18 31 99 = 6 31 28 92 20 41 107 19 70
Then, the numbers must be turned back into letters according to their position in the alphabet. 6 = G, 31 = AE, 28 = AB, 92 = JM, 20 = T, 41 = EQ, 107 = XB, 19 = S, and 70 = DN.
Therefore, the decoded message is GAE AB JT EQXB SDN.
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Related Questions
Is these correct bro
Answers
Answer:
yes
Step-by-step explanation:
if my eyes are good then yes
What is the solution (a, b) to this system of linear equations? 3a 6b=45 2a-2b=-12 (-27, 6) (-1, 7) (1, 7) (27, -6)
Answers
The solution of the system of linear equation are (1, 7)
How to solve system of equation?3a + 6b = 45
2a - 2b = -12
multiply equation(ii) by 3
Therefore,
3a + 6b = 45
6a - 6b = -36
9a = 9
a = 1
Hence,
2(1) - 2b = -12
2 - 2b = -12
-2b = -12 - 2
- 2b = - 14
b = -14 / -2
b = 7
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$30.50 for 32 ounces of specialty cooking oil
Answers
Answer: So each ounce of specialty oil cost about 0.95
Step-by-step explanation:
are the ratio 2:1 and 11:10 equivalent
Answers
Answer:
No because they aren’t similar
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
You can't mutlipy 2 by anything to get 11.
determine the minimum distance (ft) it will take for a driver going at the speed limit to come to stop at the traffic light after the traffic light turns yellow. b) what will be minimum stopping distance if the driver was going at 45 mph (5 mph over the speed limit)? express it in ft and also as % of the distance you found in part a). c) what will be the minimum stopping distance if the driver was going at 50 mph (10 mph over the speed limit)? express it in ft and also as % of the distance you found in part a). g
Answers
The minimum stopping distance is 800 ft.
Part A: The minimum stopping distance for a driver going at the speed limit (40 mph) is given by the equation: s = v2/2a, where s is the stopping distance, v is the speed (40 mph), and a is the deceleration rate (assumed to be 10 ft/s2). Therefore, the minimum stopping distance is 800 ft.
Part B: For a driver going at 45 mph, the minimum stopping distance is given by the equation: s = v2/2a, where s is the stopping distance, v is the speed (45 mph), and a is the deceleration rate (assumed to be 10 ft/s2). Therefore, the minimum stopping distance is 925 ft, which is 15.6% greater than the stopping distance for the speed limit.
Part C: For a driver going at 50 mph, the minimum stopping distance is given by the equation: s = v2/2a, where s is the stopping distance, v is the speed (50 mph), and a is the deceleration rate (assumed to be 10 ft/s2). Therefore, the minimum stopping distance is 1250 ft, which is 56.3% greater than the stopping distance for the speed limit.
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An old bridge consists of a 350 ft. wood bridge on the left, followed by 1200 ft. of a modern metal bridge, closed out by another 350 ft. wood bridge on the right. The wood is starting to rot so the city has decided they will The geometric representation of the product of two numbers, m, and n, is the area of a rectangle whose sides are of lengths m and n. However, the edges of that rectangle are line segments. What could someone do if they wanted the product of two line segments to be represented as another line segment?
Answers
If someone wants the product of two line segments to be represented as another line segment, they can make use of similar triangles
How to know what to doThe correlation between the lengths of line segments can be established by creating a geometric shape comprising of two triangles that are identical and share one side.
If the legs of the triangles are used to represent the two line segments and their shared side represents the resulting line segment, it is possible for the lengths to be proportional through the similarity of the triangles.
To represent the product of the two original line segments, it is necessary to ensure that they and the resulting line segment are a collection of similar triangles. This is because the length of the resulting line segment can represent the product of the initial segments.
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HELP UR WORK FOR THIS and please explain with it thank you
Answers
Divide the amount of money she spent all together by the price of what it costs to get a refill which is $1.25
Find the distance between the (10, 9) and (4, 3).
Answers
Step-by-step explanation:
(10, 9), (5 , 4)
Use the distance formula to determine the distance between the two points.
Distance
=√(x2−x1)² +(y2 - y1)²
Substitute the actual values of the points into the distance formula.
√(5−10)² +(4−9)²
Simplify.
5√2
Exact Form:
5√2
Decimal Form:
7.07106781
Hope it will help :)❤
Answer:
Exact form: 6/2
Decimal form: 8.48528137
Step-by-step explanation:
What is time managment? Question 1 options: The ability to use your time productively and efficiently. The art of having time to do everything that you need. The process of planning and controlling how much time to spend on specific activities.
Answers
The process of planning and controlling how much time to spend on specific activities.
What is time managment?Time management is the process of planning and controlling how much time to spend on specific activities in order to use your time productively and efficiently.
It involves setting goals, prioritizing tasks, creating schedules and to-do lists, and monitoring progress to ensure that time is used effectively.
Effective time management can help individuals to complete tasks and achieve their goals in a timely manner, reduce stress, and increase productivity.
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How do I plot this?
Answers
Find the solution to the following system (list as an ordered pair):
y=2/3x+4 2x-3y=-12
Answers
Answer:
x = infinite amount of solutions
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define systems
y = 2/3x + 4
2x - 3y = -12
Step 2: Solve for x
Substitution
Substitute in y: 2x - 3(2/3x + 4) = -12Distribute -3: 2x - 2x - 12 = -12Combine like terms: -12 = -12Here we see that -12 does indeed equal -12.
Therefore, our x would equal infinite amount of solutions.
Step 3: Graph systems
Check the systems.
We see that the 2 lines are the same.
suppose a jar contains 11 red marbles and 40 blue marbles. if you reach in the jar and pull out 2 marbles at random, find the probability that both are red. write your answer as a reduced fraction.
Answers
The required probability that both are red out of total marbles is 0.0431 or 4.31%.
What is probability?A probability is a number that mirrors the opportunity or probability that a specific occasion will happen. Probabilities can be communicated as extents that reach from 0 to 1, and they can likewise be communicated as rates going from 0% to 100 percent.
According to question:Total number of marbles in a jar = 40 + 11 = 51
Number of red marbles = 11, blue marbles = 40
At our first pull, there is an 11/51 chance that a red will be pulled and in second pull the probability is 10/50 , as one red marbles taken out.
Net probability = 11/51×10/50 = 0.0431
percentage probability = 4.31%
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How many tiles are added to each figure in the tile pattern shown above
Answers
Answer:
4 tiles are added to each figure in the tile pattern.
13 more than a number Y is -7.
Answers
Answer:
m
Step-by-step explanation:
j
Answer:
-20
Step-by-step explanation
To make the sentence into an equation it would be y+13=(-17). To solve this you would need to get y by itself. To do this, you would make the equation y+13-13 , since you need to do the same thing from both sides, it would be y+13-13=(-17)-13 . Simplify the equation to make y=(-7)-13 . Counting back 13 from -7 gets you to -20 . Finally you get to y=(-20) , so the answer is -20
[3 points] implement (i.e get the truth table, then the boolean function, and finally draw the logic diagram) of the following functions using and, or, and not logic gates. assume a and b are the inputs and f is the output. a. f has the value of 1 only if: i. a has the value 0 and b has the value 0. ii. a has the value 0 and b has the value 1.
Answers
The truth table is attached in the image and the logic diagram is also attached.
What is the equivalent expression?
Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.
To implement the given function using AND, OR, and NOT logic gates, let's go through each step:
a. f has the value of 1 only if:
i. a has the value 0 and b has the value 0.
ii. a has the value 0 and b has the value 1.
We can create a truth table to represent the function:
The truth table is attached in thee image.
From the truth table, we can observe that f is equal to 1 when (a = 0 and b = 0) or (a = 0 and b = 1).
We can express this using logical operators as:
f = (a AND b') OR (a' AND b)
the logic diagram to implement this function is attached.
In the logic diagram, the inputs a and b are connected to the AND gate, and its complement (NOT) is connected to the other input of the AND gate.
The outputs of the AND gate are connected to the inputs of the OR gate. The output of the OR gate represents the output f.
This logic diagram represents the implementation of the boolean function f using AND, OR, and NOT logic gates based on the given conditions.
Hence, The truth table is attached in the image and the logic diagram is also attached.
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![[3 points] implement (i.e get the truth table, then the boolean function, and finally draw the logic](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/BtAKCvwyMWs9Ee12kkhkJfi3doWqdbWX.png)
![[3 points] implement (i.e get the truth table, then the boolean function, and finally draw the logic](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/bLwzcutmnafqLVR06oXp7FEz4HOfioJg.png)
I set z=t=0(x,y,z,t)
and I got a partial solution (0,1,0,0).
I solved two homogeneous matrices once for z=1
and t=0
, then for z=0
and t=1
and I got two solutions (1,1,1,0)
and (1,1,0,1).
Then, I got (0,1,0,0)+a∗(1,1,1,0)+b∗(1,1,0,1
)
Therefore, all possible results are (0,1,0,0),(1,0,1,0),(1,0,0,1),(0,1,1,1)
Would this be correct?
Answers
The correct set of possible results would be (0, 1, 0, 0), (1, 2, 1, 0) and (1, 2, 0, 1).
Your approach seems to be correct, but there seems to be a minor mistake in your final list of possible solutions. Let's go through the steps to clarify.
Given the initial conditions z=t=0, you obtained a partial solution (0,1,0,0).
Next, you solved the homogeneous equations for z=1 and t=0, which resulted in a solution (1,1,1,0).
Similarly, solving the homogeneous equations for z=0 and t=1 gives another solution (1,1,0,1).
To find the general solution, you combine the partial solution with the solutions obtained in the previous step, using parameters a and b.
(0,1,0,0) + a(1,1,1,0) + b(1,1,0,1)
Expanding this expression, you get:
(0+a+b, 1+a+b, 0+a, 0+b)
Simplifying, you obtain the following set of solutions:
(0, 1, 0, 0)
(1, 2, 1, 0)
(1, 2, 0, 1)
Therefore, the correct set of possible results would be:
(0, 1, 0, 0)
(1, 2, 1, 0)
(1, 2, 0, 1)
Note that (0, 1, 1, 1) is not a valid solution in this case, as it does not satisfy the initial condition z = 0.
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select all the expression that equal 4 x 10^6
A. (2 x 10^8)(2 x 10^2)
B 40 x 10^5
C 40^6
D 400,000
E 1.2 x 10^9
-------------------
3 x 10^2
Answers
The equivalent expression to the given equation is (2 x 10⁸)(2 x 10⁻²) and 40 x 10⁵.
What is an equivalent expression?
Equivalent expressions do the same thing even when they have distinct appearances. When we enter the same value(s) for the variable, two equivalent algebraic expressions have the same value (s).
Here, we have
Given: 4 x 10⁶
We have to find the equivalent expression to the given equation.
A. (2 x 10⁸)(2 x 10⁻²)
= (2 × 2)(10⁸× 10⁻²)
= 4×10⁶
B. 40 x 10⁵
= 4×10×10⁵
= 40×10⁵
Hence, the equivalent expression to the given equation is (2 x 10⁸)(2 x 10⁻²) and 40 x 10⁵.
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consider an undirected random graph of eight vertices. the probability that there is an edge between a pair of vertices is 1/2. what is the expected number of unordered cycles of length three?
Answers
In this random graph, we expect to find approximately 14 unordered cycles of length three.
In an undirected random graph of eight vertices, where the probability of an edge existing between any pair of vertices is 1/2, we can calculate the expected number of unordered cycles of length three.
To determine the expected number, we need to analyze the probability of forming a cycle of length three through any three vertices.
To form a cycle of length three, we must select three distinct vertices. The probability of selecting a particular vertex is 1, and the probability of not selecting it is (1 - 1/2) = 1/2. Hence, the probability of selecting three distinct vertices is (1)(1/2)(1/2) = 1/4.
Since we have eight vertices, the number of ways to choose three distinct vertices is given by the combination formula C(8, 3) = 8! / (3! * (8 - 3)!) = 56.
Therefore, the expected number of unordered cycles of length three is the product of the probability and the number of ways to choose the vertices: (1/4) * 56 = 14.
Therefore, in this random graph, we expect to find approximately 14 unordered cycles of length three.
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(7x²y³ + 4x³y² - y²) - (-2x³y² – 3x²y³ + 6y²)
Answers
Therefore , the solution of the given problem of expressions comes out to be the formula is 4x³y² + 10x²y³ - 7y².
What is an expression ?Instead of using estimates produced at random, it is better to use shifting integer variables that can be rising, reducing, or blocking. They could only help one another by sharing tools, information, or solutions to issues. The justifications, elements, and mathematical remarks for techniques like additional disapproval, manufacture, and mixture may be included in a statement of truth equation.
Here,
All terms enclosed in brackets must have their signs changed in order to subtract the equation from the first expression:
=> (7x²y³ + 4x³y² - y²) - (-2x³y² – 3x²y³ + 6y²)
=> 7x²y³ + 4x³y² - y² + 2x³y² + 3x²y³ - 6y²
We can now mix similar terms:
=> 4x³y² + 10x²y³ - 7y²
As a result, the formula is 4x³y² + 10x²y³ - 7y².
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the breadth of a rectangular painting is 65 cm. its length is 137 cm more than its breadth. what is the area of the painting?
Answers
Answer:
8,905cm²
Step-by-step explanation:
Area= Length × Breadth
=137cm × 65cm
= 8,905cm²
kelly buys a shirt for $14 dollars and pays the store clerk $20 how much change will kelly get back
Answers
Answer:
6
Step-by-step explanation:
6 maybe
what's the value of x
Answers
Answer:
x = 122°
Step-by-step explanation:
There is remote angle( non- adjecent angle) and their sum equal to the exterior angle .
Exterior angle is an angle formed from one side of the polygone and the extended side so
<A and <B are remot angle and <BCD is exterior angle .
And we write the equetion as
<A + <B = <BCD
58° + 64° = x°
122° = X°
so the exterior angle ( x ) measures 122° .
The mean age at first marriage for respondents in a survey is 23.33, with a standard deviation of 6.13. Suppose that a person experienced their first marriage at age 23. If the area beyond the Z-score associated with age 23 is 0.24, what proportion of respondents experienced their first marriage after age 23
Answers
Approximately 76% of the respondents experienced their first marriage of mean is 23.33 after age 23, If the area beyond the Z-score associated with age 23 is 0.24.
To determine the proportion of respondents who experienced their first marriage after age 23, we need to find the area under the standard normal curve beyond the Z-score associated with age 23.
Given:
Mean age at first marriage (μ) = 23.33
Standard deviation (σ) = 6.13
Age at first marriage (X) = 23
Area beyond Z-score (P(Z > Z-score)) = 0.24
To find the Z-score corresponding to age 23, we can use the formula:
Z = (X - μ) / σ
Z = (23 - 23.33) / 6.13
Z = -0.053 (rounded to three decimal places)
Now, we want to find the proportion of respondents who experienced their first marriage after age 23, which is equivalent to finding the area beyond the Z-score (-0.053).
Since the given area is beyond the Z-score, we can subtract it from 1 to find the area up to that Z-score:
Proportion = 1 - Area beyond Z-score
Proportion = 1 - 0.24
Proportion = 0.76
Therefore, approximately 76% of the respondents experienced their first marriage after age 23.
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The diagram shows a square with perimeter 20 cm.
3.5 cm
3 cm
Work out the percentage of the area inside
the square that is shaded.
+
(Pythagoras theorem)
Answers
Answer:
3.5*3=10.5 is the answer of the
When computing the control limits for the p-chart, what value is used when the population proportion of defective items is not known
Answers
Answer:
sample proportion of defective items
Step-by-step explanation:
The p-chart is a type of chart in which the sample is taken periodically from the production process, so as to determine if the population proportion of defective items in the sample falls within the control limits on the chart.
For a P-chart, as the sample size gets larger it turns more into a normal distribution making it possible to approximate the distribution of the proportion defective.
Factor −13 out of −13x−8.
Answers
Answer:
i believe its x+5
Step-by-step explanation:
you add 13 to both numbers
Answer:
-13(x+ 8/13
Step-by-step explanation:
here is how
-13x-8 (factor out) - from each term
= -13(x+8/13)
help mmeee pleaseeeee i need thr grade
Answers
Answer:
B. 7 3/4
Step-by-step explanation:
31/4= 7.75
7.75= 7 3/4
Answer:
7 3/4
Step-by-step explanation:
I hope this helps!!! I hope you have an amazing week<3
Two numbers have a sum of 32 and a difference of 6. Find two numbers.
Answers
Hope this was helpful :)
what does the value on the wire x do? that is, what is the difference in the output of this circuit if x = 0 vs. if x = 1?
Answers
The value of x determines whether current passes through the circuit and therefore affects the output of the circuit, with a 0 output when x is 0 and a value determined by resistance and current when x is 1.
The value of x is a digital signal that determines the output of the circuit. If x = 0, the output of the circuit will be LOW, meaning no current will pass through the circuit and no voltage will be detected. If x = 1, the output of the circuit will be HIGH, meaning that current will pass through the circuit and a voltage will be detected.
Using Ohm's law, the output of the circuit can be modeled using V = IR, where V is the voltage, I is the current, and R is the resistance. If x = 0, the current I will be 0, and V will be 0 since multiplying 0 by any number gives 0. If x = 1, the current I will be determined by the resistance, R, and the voltage, V, will be determined by the current, I. The output of the circuit will therefore be dependent on the value of x, with a 0 output when x = 0, and a value determined by R and I when x = 1.
The value of x determines whether current passes through the circuit and therefore affects the output of the circuit, with a 0 output when x is 0 and a value determined by resistance and current when x is 1.
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Express the ratio below in its simplest form
12:6
Answers
Answer:
12/6 simplified to lowest terms is 2/1.
Step-by-step explanation:
Divide both the numerator and denominator by the HCF
12 ÷ 6
6 ÷ 6
Reduced fraction:
12/6 simplified to lowest terms is 2/1.
Answer: 2:1
Step-by-step explanation:
12:6
Both left and right can be divided by 6, like a fraction, reduce.
= 2:1