6.1 In the discussion of MixColumns and InvMixColumns, it was stated that b(x) = a¹(x) mod(x + 1) where a(x) = {03)x³ + {01}x² + {01}x + {02) and b(x) = {0B]x³ + {0D]x² + {09}x+ (OE.) Show that this is true.

The stack grows downwards in memory, meaning that as new variables are added, they are allocated at lower memory addresses compared to previously allocated variables.

Regarding whether variables stored on the stack can have the same address as other variables, it is possible but highly unlikely. Each variable on the stack is typically allocated a unique memory address. The compiler and the underlying system manage the allocation of memory for variables on the stack to ensure that they do not overlap or share the same address.

However, it's worth noting that certain scenarios, such as when using recursion or nested function calls, may lead to temporary overlapping of stack frames. In such cases, variables within different stack frames may have the same relative addresses, but they still have distinct absolute addresses within their respective stack frames.

In general, the stack is organized in a way that ensures variables have distinct addresses to maintain proper memory isolation and prevent unintended data corruption.

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Step-by-step explanation:

you can ask questions for clarification

Answer:

Step-by-step explanation:

sure lizzie  

soo  elimination method just means we want to cancel out on of the variable by subtracting of add the entire equations to each other... there is another method but this one is pretty good to learn with.

system 1

2x + 2y = -2

3x - 2y = 12

since there is already an easy way to get rid of the y variable lets just add the two equations together, just add term by term

5x  + 0y = 10

if you notice .. just by making an imaginary column.. of each term.. you can just do that single piece by it self.... 2x + 3x = 5x   and 2y +(-2y) = 0  and -2 + 12 = 10  :)

so now I can rewrite our new equation

5x = 10    I can solve this one with my eyes closed  :D  (10/5 = 2 )

x =2   :P

now , since we know x  .. just plug in the known value of x into the 1st equations...  

2(2) +2y = -2

4 + 2y =-2

2y = -2-4

2y = -6

y = - 3   :) ( I had to keep my eyes open that time b/c there was a minus sign floating about and those are too easy to mess up on .. when you do.. don't worry everyone does )

so we know

x = 2  and y = -3  :)

I'll go a little faster on 2.. and I see 3 is good for you to practice on.. just ask later if you have questions on that one.

system 2

4x - 2y = -1

-4x + 4y = - 2

add them again to get rid of the x term

0x +2y = -3

y = - 3/2

plug in y

4x  - 2(-3/2) = -1

4x +3 = -1

4x = -1 - 3

4x = -4

x = -1  

they are being nice and making them easy to start out.. you try system 3

The pitch of the roof is 0.3.

Pitch:

The pitch can be expressed numerically as a fraction. The pitch fraction represents a certain amount of vertical rise over the entire span.

Here it is given that the rise in the roof is 3.6m and a rum of 12m,

We have to find the pitch of the roof.

As is already given in the statement that the slope of a roof is called its pitch.

By this we get the slope:

Slope = 3.6/12

= 3/10

= 0.3

Therefore we get the pitch of the roof at 0.3.

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Answer:

A

Step-by-step explanation:

took the test

The given graph respresents the function of y = 2cos(2x)+1

A graph can be defined as a pictorial representation or a diagram that represents data or values.

From the given graph we can pick the points which can tell us about the nature of the cosine  function we took,

It is clear from the graph that the function plotted is 2 times greater than the standard function i.e. cos (x)

In cos (x) ⇒ we have maxima at (0, 1)

in the graph, ⇒ we have maxima at  (0, 3)

there is a change in the graph concerning the standard cos graph.

Hence, the graph given is 2cos(2x)+1

2cos(2x)+1 is the function represented in the graph.

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Answer:

B

Step-by-step explanation:

If you Divide 60 by 2 you would get 30 but if you divide by four ill be 15 so for b ill be 2 and a will be 4

Answer:

Step-by-step explanation:

interval in mathematics stands for a set of real numbers,

denoted by [a,b] where a and b are the starting and ending real numbers both inclusive respectively.

thus, interval [a,b] is the set of real numbers starting from a to b both are real numbers and are included.

Answer:

78

Step-by-step explanation:

Answer:

Step-by-step explanation:

12 x 3 = 36

answer is 36

Answer:

12 x 3 = 36

Step-by-step explanation:

A quasi-experimental research design used to study changes across the lifespan by observing the same participants at different points in time and measuring the same dependent variable at each time is called a longitudinal design.

A quasi-experimental research design similar to true experiment attempts to establish a cause-and-effect relationship between an independent and dependent variable. However, unlike a true experiment, a quasi-experiment does not depend on random assignment rather subjects are assigned to groups based on non-random criteria.

Longitudinal design is a quasi-experimental research design that involves repeated observations of the same variables over short or long periods of time. It is used to establish relationships between variables that are not related to various background variables and involves studying the same group of individuals over an extended period.

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the answer is 2.2 just divide

The probability that at least 96 of the 244 students admitted to binge drinking in the last week is approximately equal to 0.999996 or 0.9999 (rounded to four decimal places).

We can calculate it using the binomial probability distribution as follows:

follows:

P(X ≥ 96) = P(X = 96) + P(X = 97) + ... + P(X = 244 - n)

P(X ≥ 96) = 1 - P(X < 96)

P(X < 96) = P(X ≤ 95)

P(X < 96) = Σ_(k=0)⁹⁵ (244 C k) (0.44)^k (0.56)⁽²⁴⁴⁻k⁾

P(X ≥ 96) = 1 - P(X < 96)P(X ≥ 96) = 1 - P(X ≤ 95)

Now we can use any statistical calculator or standard normal distribution table to find the cumulative probability corresponding to the probability value of P(X < 96).

Using an online calculator, we get:

P(X ≥ 96) ≈ 1 - 3.124 x 10⁻⁶

P(X ≥ 96) ≈ 0.999996

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The square root of the decimal number is √0.0016 = 0.04

Here we can find the square root of the decimal number:

N = 0.0016

Notice that we can write this number as:

0.0016 = 16*10⁻⁴

Now we can take the square root of that, so we will get:

√(16*10⁻⁴)

We can distribute the square root to get:

√16*√10⁻⁴

These two are easy, we will get:

√16*√10⁻⁴ = 4*10⁻² = 0.04

That is the square root.

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Answer:

$223.45

Step-by-step explanation:

premium fuel: 4.59 x 545

= 2501.55

regular fuel: 4.18 x 545

=2278.1

2501.55-2278.1 = 223.45

Answer:

Step-by-step explanation:

Answer:

didn't understood the question much sorry

The rule that represents the transformation is g(x) = -6x⁵ + 3x³ + 3x² + 11

The equation of the function is given as

f(x) = 2x⁵ - x³ + x² + 4

The sequence of transformations is given as follows:

When the above transformations are combined, we have:

g(x) = 3f(-x) - 1

So, we have

3f(-x) - 1 = 3[2(-x)⁵ - (-x)³ + (-x)² + 4] - 1

This gives

3f(-x) - 1 = -6x⁵ + 3x³ + 3x² + 12 - 1

Expand

3f(-x) - 1 = -6x⁵ + 3x³ + 3x² + 11

So, we have

g(x) = -6x⁵ + 3x³ + 3x² + 11

Hence, the function is g(x) = -6x⁵ + 3x³ + 3x² + 11

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Expression: 4*(-12)= -48

-7-6= -13

Equivalent: -12*4= -48

8-(-6)= 14

-3-16= -19

The Volume of Cube with Edge 2y is 8y³.

A cube is a solid object in three dimensions that has six square faces, facets, or sides, three of which meet at each vertex.

The formula of volume of the cube is given by: Volume = a³, where a is the length of its sides or edges.

Given:

Edge = 2y cm

Now, Volume of Cube= (edge)³

                                    = (2y)³

                                    = (2y x2y x 2y)

                                    = 8y³

Hence, the Volume of Cube is 8y³.

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The cost of the 5 t-shirts in her currency of Krona is 608.313 Krona.

The formula for converting currencies is Original Currency / New Currency = Exchange Rate.

Given:

Cost of 7 t-shirts at a special deal = $97.93

Now, she wants to purchase 5 t-shirts for her family members at this special rate.

Total Cost of 5 shirts in dollars = (97.93 * 5)/7 = $69.95

The exchange rate of the currency is 1 U.S. Dollar = 8.6964 Krona

So, $69.95 = (69.95 * 8.6964)/1 = 608.313 Krona

Therefore, the cost of the 5 t-shirts in her currency of Krona is 608.313 Krona.

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Answer:

y= 2x + 3

Step-by-step explanation:

To have a parallel line they need to have the same slope.

Then you need to plot the point (2,7).

A slope of 2x means that it goes up 2 y values for every x value it goes up by. So to find the y-intercept, you need to go down 2 x values. Meaning you need to subtract 4 y values. (0,3).

y= (slope) + y-intercept

Answer:

y = 2x + 3

Step-by-step explanation:

1. Approach

The line y = 2x -1 is written in slope-intercept form, essentially; y = mx + b, where "m" is the slope, and "b" is the y-intercept. If two lines are parallel, then they both have the same slope. So one simply has to substitute in a point on the line to find out what the y-intercept is, and assemble the equation.

2. Slope

As mentioned above, two parallel lines have the same slope. Hence the slope of the line that one is trying to find the equations of is 2.

3. y-intercpet

Substitute in the point that is given, and solve for the y-intercept.

y = mx + b

y = 2x + b

7 = 2(2) + b

7 = 4 + b

3 = b

4. Assembling what one knows

The equation of the line is;

y = 2x + 3

Were 2 is the slope, and 3 is the y-intercept.

Answer: 4,5

Step-by-step explanation:

The actual length of the Olympic-size swimming pool which is drawn by Christina on the scale model is 50 meters.

Scale factor is the factor which is used to enlarge or smaller the original figure.

Scale factor is the ratio of representation measurement of the figure to the original figures.

Christina drew a scale model of an Olympic-size swimming pool using a scale in which 3 centimeters represents 10 meters.

Thus, the scale factor is for cm to m,

\(r=\dfrac{3}{10}\rm\)

The length of the pool in her drawing is 15 centimeters. Let the length of the actual pool is x cm. Thus,

\(\dfrac{15}{x}=\dfrac{3}{10}\\x=50\rm \; m\)

Thus, the actual length of the Olympic-size swimming pool which is drawn by Christina on the scale model is 50 meters.

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Answer:

The answer is C. n + (8 + 3c)

Answer:

AB = 12

Step-by-step explanation:

Segment addition postulate,

AC = AB + BC

24 = 2x+6+5x-3

Adding the like terms,

7x+3 = 24

Subtract 3 from both sides,

7x = 24-3

7x = 21

Divide by 7,

x = 21/7

x = 3

AB = 2x+6

AB = 2*3 + 6

AB = 6 + 6

AB = 12

Answer:492

Step-by-step explanation:

Answer:

First, we need to calculate the daily interest rate on the credit card. We can do this by dividing the annual percentage rate (APR) by the number of days in a year:

Daily interest rate = APR / 365

Daily interest rate = 0.2445 / 365

Daily interest rate = 0.00067 or 0.067%

Next, we can calculate the interest that will accrue over the course of one month, which is approximately 30 days:

Interest = Balance * Daily interest rate * Number of days

Interest = $1,359 * 0.00067 * 30

Interest = $27.42

Adding the interest to the outstanding balance, we get:

Balance after one month = $1,359 + $27.42

Balance after one month = $1,386.42

Therefore, the balance on the credit card after one month will be approximately $1,386.42.

Answer:

=6

Step-by-step explanation:

-1^2 - 5(-1) + 2

-1 - (-5) + 2

-1 +5 + 2

6

Answer:

g=5x−1

Step-by-step explanation:

Let's solve for g.

g(−1)=−12−5x+2

Step 1: Divide both sides by -1.

−g

−1

=

−5x+1

−1

g=5x−1

Answer:

g=5x−1

Answer:

y = 7

Step-by-step explanation:

12-5=7

7+5=12

Answer:

y = 7

Step-by-step explanation:

12 - y = 5

Subtract 12 from both sides.

-y = -7

Multiply both sides by -1.

y = 7

Answer:

2x + 10

_______

x^3 - 4x

Step-by-step explanation:

this is the answer

The required answer is :

a. The third side of the reflective sticker cannot be 12 cm long.

b. It is not possible to form a triangle with side lengths of 6 cm, 8 cm, and 2 cm.

According to the triangle inequality theorem, the sum of any two sides of a triangle must be greater than the third side.

In this case, the sum of the two given sides (6 cm + 8 cm = 14 cm) is less than the length of the third side (12 cm).

Therefore, it is not possible to form a triangle with side lengths 6 cm, 8 cm, and 12 cm.

(b) The third side of the reflective sticker cannot be 2 cm long.

Applying the triangle inequality theorem, the sum of any two sides of a triangle must be greater than the third side.

The sum of the two given sides (6 cm + 8 cm = 14 cm) is greater than the length of the third side (2 cm).

Hence, it is not possible to form a triangle with side lengths 6 cm, 8 cm, and 2 cm.

Therefore, a. The third side of the reflective sticker cannot be 12 cm long.

b. It is not possible to form a triangle with side lengths of 6 cm, 8 cm, and 2 cm.

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