Write the following as a factorial: 8x7x6x5x4x3x2x1

Answer:

I DUNNO

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

its A because parallel are two straight lines next to each other

We must first transform matrix A into a triangular or diagonal matrix in order to determine its determinant.

Using the row operations to change the matrix, having three rows and five columns, in a triangular matrix, having three rows and three columns.

combining the first and second rows, then the first and third rows:

(1 0 2 0 3 0 1 2 3 4 1 0 3 0 5         (1 0 0 2 4            (1 0 3 0 8        (3 0 5 2 11

  0 0 0 2 4                                +   0 0 0 2 4)    +     1 0 3 0 8)   =   0 0 0 2 4

   1 0 3 0 8)                                                                                      2 0 6 0 16)

subtracting the second and third rows from the first row

We get a triangular matrix

(3 0 5 2 11           (0 0 0 2 4        (2 0 6 0 16             (1 0 5 0 3

0 0 0 2 4      -     0 0 0 2 4)    -    2 0 6 0 16)     =     0 0 0 2 4

2 0 6 0 16)                                                                 0 0 0 0 0)

Now that the matrix is triangular, we can use the determinant formula for triangular matrices, which states that the determinant of a triangular matrix is equal to the product of the diagonal elements. The diagonal elements of matrix A are 1, 0, and 0, so the determinant of matrix A is 0.

Therefore, the determinant of matrix A is 0, and we can find it by only using the three basic properties in Treil section the determinant formula for triangular and diagonal matrices, and row or column operations.

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Answer:

15/21

i dont know if if you want it to be simplifed

Step-by-step explanation:

Answer:

4? ;-;

Step-by-step explanation:

Answer:

Length of rectangle = [2x + 15] / x

Step-by-step explanation:

Given:

Area of rectangle = (2x + 15)

Width of the box = x

Find:

Length and width

Computation:

Length of rectangle = Area of rectangle / Width of the box

Length of rectangle = [2x + 15] / x

Answer:

The last one 8512

Step-by-step explanation:

5×10÷5+2168

Answer:

15

Step-by-step explanation:

It does not divide evenly, but there are 15 groups of 6 in 95.

Answer:

All are 63

Step-by-step explanation:

m∠1 = 180 - 117 = 63 (linear pair)

m∠2 = 63 (alternate interior angle with ∠1)

m∠3 = m∠1 = 63 (isosceles triangle property)

Hope it helps :)

Please mark my answer as the brainliest

The examples of exponential growth include bacteria population growth and compound interest and a real life example of exponential decay is radioactive decay.

Exponential growth is the pattern of data that shows sharper increases over time. Savings accounts with a compounding interest rate can show exponential growth.

There are many real-life examples of exponential decay. An example, is thatsuppose that the population of a city was 100,000 in 1980. Then every year after that, the population has decreased by 3% as a result of heavy pollution. This is an example of exponential decay.

One of the best examples of exponential growth is the observed in bacteria. It takes bacteria roughly an hour to be able to reproduce through prokaryotic fission. In this case, if we placed 100 bacteria in an environment and recorded the population size each hour, we would observe an exponential growth.

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\( \huge \boxed{\mathfrak{Question} \downarrow}\)

Draw a line from each polygon to its name.

Hexagon

octagon

quadrilateral

pentagon

\( \huge \boxed{\mathfrak{Answer} \downarrow}\)

Refer to the picture for better understanding.

Answer:

x = 1

Step-by-step explanation:

Both equations can be set equal to each other since they are both equal to y:

\(x-10=-4x-5\\5x-10=-5\\5x=5\\x=1\)

equate both equations !

x - 10 = -4x - 5

5x - 10 = -5

5x = 5

x = 1

therefore x = 1

The advantage of A in this case is negligible.  So, adversary A has a negligible advantage, and therefore, G is a secure PRG. Since H1 is collision-resistant, the probability that A finds a collision is negligible. If at least one of H1 and H2 is collision-resistant, then it follows that H is collision-resistant. The adversary then outputs the forgery (k1, k2, m, t1, t2). So, if at least one of the MACs is secure, then the adversary can only succeed in the corresponding case above, and therefore, the probability of a successful attack is negligible.

(a) Let G1,G2 : {0,1} λ → {0,1} 3λ be arbitrary PRG candidates. Define the function G(s1,s2) := G1(s1) ⊕ G2(s2). Prove or disprove: if at least one of G1 or G2 is a secure PRG, then G is a secure PRG. Primitive refers to the various building blocks in Cryptography. A PRG (Pseudo-Random Generator) is a deterministic algorithm that extends a short random sequence into a long, pseudorandom one. The claim that if at least one of G1 or G2 is a secure PRG, then G is a secure PRG is true. Proof: Let A be an arbitrary adversary attacking the security of G. Let s be the seed used by G1 and G2 in the construction of G. The adversary can be broken down into two cases, as follows.  Case 1: Adversary A has s1=s2=s. In this case, A can predict G1(s) and G2(s) and, therefore, can predict G(s1,s2). Case 2: The adversary A has s1≠s2. In this case, G(s1,s2)=G1(s1) ⊕ G2(s2) is independent of s and distributed identically to U(3λ). Therefore, the advantage of A in this case is negligible.  So, adversary A has a negligible advantage, and therefore, G is a secure PRG.

(b) Let H1,H2 : {0,1} ∗ → {0,1} λ 1 are arbitrary collision-resistant hash function candidates. Define the function H(x) := H1(H2(x)). Prove or disprove: if at least one of H1 or H2 is collision-resistant, then H is collision-resistant. This claim is true, if at least one of H1 or H2 is collision-resistant, then H is collision-resistant. Proof: Suppose H1 is a collision-resistant hash function. Assume that there exists an adversary A that has a non-negligible probability of finding a collision in H. Then, we can construct an adversary B that finds a collision in H1 with the same probability. Specifically, adversary B simply takes the output of H2 and uses it as input to A. Since H1 is collision-resistant, the probability that A finds a collision is negligible. If at least one of H1 and H2 is collision-resistant, then it follows that H is collision-resistant.

(c) Let (Sign1 ,Verify1 ) and (Sign2 ,Verify2 ) be arbitrary MAC candidates. Define (Sign,Verify) as follows: • Sign((k1,k2),m): Output (t1,t2) where t1 ← Sign1 (k1,m) and t2 ← Sign2 (k2,m). • Verify((k1,k2),(t1,t2)): Output 1 if Verify1 (k1,m,t1) = 1 = Verify2 (k2,m,t2) and 0 otherwise. Prove or disprove: if at least one of (Sign1 ,Verify1 ) or (Sign2 ,Verify2 ) is a secure MAC, then (Sign,Verify) is a secure MAC. This claim is true, if at least one of (Sign1 ,Verify1 ) or (Sign2 ,Verify2 ) is a secure MAC, then (Sign,Verify) is a secure MAC. Proof: Consider an adversary that can forge a new message for (Sign,Verify). If we assume that the adversary knows the public keys for (Sign1, Verify1) and (Sign2, Verify2), we can break the adversary down into two cases.  Case 1: The adversary can create a forgery for Sign1 and Verify1. In this case, the adversary creates a message (k1, m, t1) that passes Verify1 but hasn't been seen before. This message is then sent to the signer who outputs t2 = Sign2(k2, m).

The adversary then outputs the forgery (k1,k2, m, t1, t2).  Case 2: The adversary can create a forgery for Sign2 and Verify2. In this case, the adversary creates a message (k2, m, t2) that passes Verify2 but hasn't been seen before. This message is then sent to the signer, who outputs t1 = Sign1(k1, m). The adversary then outputs the forgery (k1, k2, m, t1, t2). So, if at least one of the MACs is secure, then the adversary can only succeed in the corresponding case above, and therefore, the probability of a successful attack is negligible.

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Answer:

y = -2x - 5

Step-by-step explanation:

First rewrite the second equation into y = mx + b format:

x - 2y = 14  

2y = x - 14

y = x/2 - 14/2 (Divide both sides by 2)

y = 1/2x - 7

A line perpendicular to another has the negative reciprocal slope

So the slope of our first equation is -2. (Flip 1/2 = 2, then take the opposite)

Plug in the points (-1, -3) for the x and y coordinates.

x (x coordinate) = -1

y (y coordinate) = -3

slope (m) = -2

-3 = -1(-2) + b

-3 = 2 + b

-3 - 2 = b

b = -5

The equation of the line is y = -2x - 5. Hope this helps! :)

Answer:

y = -2x - 5  or 2x + y = -5

Step-by-step explanation:

Let's find the slope of the given line.  

-2y = -x + 14

y = 1/2(x) -7

m = 1/2

The slope of a line perpendicular is the negative reciprocal of 1/2, which is -2

Now use the point-slope form of a line

y + 3 = -2(x + 1)

y + 3 = -2x - 2

y = -2x - 5  or 2x + y = -5

Answer:

311 Remainder 6

Step-by-step explanation:

Answer:

3x3+8x2−20x

Step-by-step explanation:

Answer:

−x^3−20x+28

Step-by-step explanation:

Answer:

13 in addition to his first shift, or...

30 without counting his first shift.

Step-by-step explanation:

He gets paid $23.30 per hour ($396.10/ 17), so divide $699.00 by 23.3 to get how many hours he would need to work in order earn the $699.00. (starting from $0)

if you need to know how many MORE hours he would need to work to get to $699.00 then you do the following

$699.00 - $396.10 = $302.90 (how much more money he needs)

$302.90 / $23.30 = 13 (how many more hours he will need to work after his first shift of 17 hours)

Answer:

Step-by-step explanation:

First you have to divide 396.10 by 17 to get $23.30 which is how much he earns per hour. Then you divide 699.0 by 23.30 to get 30 hours.

Answer is the coordinates of endpoint F(6, 4).

In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.

let coordinate of F is (x,y).

4= (x + 2)/2

8= x +2

x = 6

6= (y +8)/2

12 = y + 8

y = 4

Answer is the coordinates of endpoint F(6, 4).

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The conclusion of the given statement is "The product of any even integer and any odd integer is even."

The hypothesis of the given statement is "If an integer is even and another integer is odd, then their product is even." The hypothesis represents the assumed condition that is required for the statement to be true. In this case, the hypothesis involves two integers, one even and one odd, and claims that their product will be even.

The conclusion is the statement that follows from the hypothesis. In this case, the conclusion is a generalization of the hypothesis, stating that the product of any even integer and any odd integer will always be even.

In symbolic form, the statement can be written as: For all even integers m and odd integers n, if m and n are multiplied, then the product mn is even. It is important to note that the given statement can be proven mathematically, using the properties of even and odd numbers. Specifically, an even number can be expressed as 2k, where k is an integer, and an odd number can be expressed as 2k+1. Thus, the product of an even and odd integer can be expressed as 2k(2k+1), which simplifies to \(4k^2\)+2k, an even integer. Therefore, the statement holds true.

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Answer:

2

Step-by-step explanation:

because average of 1 and 2 is 1.5 rounded is 2

The standard deviation of your revenues in a day is 14.

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.

Let x be the revenue from hats.

And let y be the revenue from sunglasses.

And z be the total revenue.

Then according to the question:

z = 10x + 5y

You know the expected number of hats sold in a day is 10 with standard deviation 1.

σₓ = 1

σy = 2

Taking squares of both of the equation.

σₓ² = 1² = 1

σy² = 2² = 4

To find the standard deviation of your revenues in a day:

V(z) = (10)²σₓ² + 5²σy²

V(z) = (100)(1) + (25)(4)

V(z) = 200

Standard deviation,

σz² = √(200)

σz² = 10√(2)

σz² = 14.14

σz² ≈ 14

Therefore, the required standard deviation is 14.

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Answer:

Step-by-step explanation:

System of equations is just finding where the lines intersect so in this instance it is:

D.(-1,-1)

Answer:

11 units perhaps you rise 6 and run 5. 6+5=11

Step-by-step explanation:

It's true that step functions only take on integer values at the steps, but including decimals in your table of values can be helpful in a few ways:

Accuracy: In some cases, the output of the function may be between two integers. For example, if you have a step function that takes on the value 5 between x=1 and x=2, but you need to evaluate the function at x=1.5, including decimals in your table of values will give you a more accurate result.

Visualization: Including decimals in your table of values can help you visualize the shape of the function more clearly. For example, if you're graphing a step function, you can use the decimal values to create a smoother, more continuous graph.

Consistency: Including decimals in your table of values can help ensure consistency and avoid errors. For example, if you only include integer values in your table of values, you may accidentally skip a step or misinterpret the output of the function at a certain point.

Overall, including decimals in your table of values for step functions may not always be necessary, but it can be a helpful tool for accuracy, visualization, and consistency.

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Answer:

Hi! In order to determine how much money Aiden will have in his account after 8 months, let's figure out how much he deposits each month.

He started with $250. After one month, he had $586; after two months, he had $922; after three months, he had $1,258. Each month, there is a gain of $336.

Therefore, after four months, Aiden will have $1,594. After five months, he will have $1,930. After six months, he will have $2,266. After seven months, he will have $2,602. Finally, after eight months, he will have $2,938.

Hope this helps!

Answer:

The answer is -285

Step-by-step explanation: