(a) for a nonsingular n ⇥n matrix a, show that a^-1 = 1/c0 (- A^n1 - cn-1 A^n2 - .... - c2A - c1l) (b) use this result to find the inverse of the matrix A = 1 2 3 5

Answer:

I think it's the first one and the second one

Shor's Algorithm Efficiency of Shor’s algorithm in the general case, when r does not divide 2, is calculated as follows:

Shor's algorithm is an effective quantum computing algorithm for factoring large integers. The algorithm calculates the prime factors of a large number, using the modular exponentiation, and quantum Fourier transform in a quantum computer.In this algorithm, the calculation of the quantum Fourier transform takes O(N2) quantum gates, where N is the number of qubits required to represent the number whose factors are being determined.

To calculate the Fourier transform efficiently, the number of qubits should be set to log2 r. The general form of Shor's algorithm is given by the following pseudocode:

1. Choose a number at random from 1 to N-1.

2. Find the greatest common divisor (GCD) of a and N. If GCD is not 1, then it is a nontrivial factor of N.

3. Use quantum Fourier transform to determine the period r of f(x) = a^x mod N. If r is odd, repeat step 2 with a different value of a.

4. If r is even and a^(r/2) mod N is not -1, then the factors of N are given by GCD(a^(r/2) + 1, N) and GCD(a^(r/2) - 1, N).

The efficiency of the algorithm is determined by the number of gates needed to execute it. Shor's algorithm has an exponential speedup over classical factoring algorithms, but the number of qubits required to represent the number whose factors are being determined is also exponentially large in the number of digits in the number.

In the general case when r does not divide 2, the efficiency of Shor's algorithm is reduced. However, the overall performance of the algorithm is still better than classical factoring algorithms.

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Answer:

71 dollars

Step-by-step explanation:

Answer:

71 dollars

Step-by-step explanation:

Bread:

5 loaves * 3 dollars each = 15 dollars

Juice:

2 cartons * 5 dollars each = 10 dollars

15+10 = 25 dollars

96 - 25 = 71 dollars left over.

Hope this helps!! :)

Answer:

The answer will 150 degrees cause the triangle is an equilateral triangle

A=A

Answer:

sorry for bad hand writing anyway the H is equal 87

pls make me brainiliest

Therefore, the solution to the equation 10ˣ = 23 is: x = log(23) that is option B.

An equation is a mathematical statement that shows that two expressions are equal. It typically includes variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Equations can be solved to find the value(s) of the variable(s) that make the equation true.

Here,

Taking the logarithm of both sides of the equation 10ˣ = 23:

log(10ˣ) = log(23)

Using the power rule of logarithms, the left-hand side simplifies to:

x log(10) = x

Since log(10) = 1, we have:

x = log(23)

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Thus, there is a 1.96% chance of selecting the jack of clubs when drawing a single card from a standard deck.

The probability of selecting a jack and a club from a standard deck of 52 cards can be calculated by first determining the number of jacks and clubs in the deck. There are four jacks and 13 clubs in a standard deck, so the probability of selecting a jack and a club would be the product of the probability of selecting a jack (4/52) and the probability of selecting a club (13/51).

This can be written as:

P(jack and club) = P(jack) * P(club|jack not drawn)

= (4/52) * (13/51)

Simplifying this equation, we get:

P(jack and club) = 1/13 * 13/51

= 1/51

Therefore, the probability of selecting a jack and a club from a standard deck of 52 cards is approximately 0.0196 or 1.96%. This means that for every 51 times you draw a card from the deck, you can expect to get a jack and a club only once.

It's worth noting that the probability of selecting any two specific cards from a standard deck is the same, regardless of whether they are a jack and a club or any other combination.

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Answer:

\(4\) is the length of the third side

Step-by-step explanation:

Using the Pythagorean theorem,

\(a^{2} + b^{2} = c^{2} \\3^{2} + \sqrt{7 ^{2} } = c^{2} \\\ 9 + 7 = c^{2}\)

Hence the length of the third side is,

\(\sqrt{16} = c\\4 = c\)

Answer:

4 units

Step-by-step explanation:

Given triangle is a right-angled triangle. To find the unknown side, use Pythagorean theorem.

    Here the unknown side is the hypotenuse.

hypotenuse² = leg₁² + leg₂²

                       \(\sf =(\sqrt{7})^2+3^2\\\\=7 + 9 \\\\=16\)

  \(\sf hypotenuse = \sqrt{16}\)

                   \(\sf =\sqrt{4*4}\\\\= 4\)

Answer:

The answer is (H) because you multiply 25,500 by 15% hope its right.

Step-by-step explanation:

Answer:

x<-2

Step-by-step explanation:

17+4x<9

4x<-8

x<-2

The solution is:

Work/explanation:

Recall that the process for solving an inequality is the same as the process for solving an equation (a linear equation in one variable).

Make sure that all constants are on the right:

\(\bf{4x < 9-17}\)

\(\bf{4x < -8}\)

Divide each side by 4:

\(\bf{x < -2}\)

The correct answer is e(x) = np. The expected value for a binomial probability distribution is given by the formula e(x) = np, where n represents the number of trials and p represents the probability of success in each trial.

The expected value is a measure of the average or mean outcome of a binomial experiment. It represents the number of successful outcomes one would expect on average over a large number of trials.

The formula e(x) = np arises from the fact that the expected value of a binomial distribution is the product of the number of trials (n) and the probability of success (p) in each trial. This is because in a binomial experiment, the probability of success remains constant for each trial.

Therefore, to calculate the expected value of a binomial probability distribution, we multiply the number of trials by the probability of success in each trial, resulting in e(x) = np.

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Answer:

Degrees = Radians x 180/π

or

Degrees = 57.2958  x radians

Step-by-step explanation:

1 radian = 180/π degrees

1 radian = 57.2958 degrees

Multiply radians by this factor of 57.2958  to get the equivalent measure in degrees

π radians = 180°

2π radians = 360° which is the number of degrees in a circle

For anything greater than 2π radians you will have to subtract 360°

For example, 7 radians using the formula is 7 x (57.2958  ) ≈ 401.07°

But this still falls in the first quadrant, so relative to the x-axis it is
401.07 - 360 = 41.07°

Answer:

24cm, 36cm y 48cm

Step-by-step explanation:

Tu necesitas multiplicar cada lado por 4 porque 4 es el factor de escala.

(Lo siento si mi explicacion es mala, no se mucho Español, entonces no puedo explicar muy bien)

The first figure represents Antiparallel β sheet. Second figure is parallel β sheet. Third figure represents neither of the two types. The fourth figure is also parallel β sheet and the fifth figure represents both types.

Antiparallel and parallel β-sheets are two different arrangements of the β-strands in a protein structure.

In an antiparallel β-sheet, the direction of the peptide bonds in the individual β-strands is opposed to each other, meaning that the N-terminal end of one strand points in the opposite direction from the N-terminal end of the neighboring strand. The hydrogen bonds between the strands run perpendicular to the direction of the peptide bonds and hold the strands together.

In a parallel β-sheet, the direction of the peptide bonds in the individual β-strands is the same, meaning that the N-terminal end of one strand points in the same direction as the N-terminal end of the neighboring strand. The hydrogen bonds between the strands run parallel to the direction of the peptide bonds and hold the strands together.

Both antiparallel and parallel β-sheets play important roles in the structure and function of proteins, and are found in many different types of proteins, including enzymes, transport proteins, and structural proteins.

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Complete question:

classify each peptide chain as part of a parallel β sheet, part of an antiparallel β sheet, either type of β sheet, or not part of a β sheet. options in document attached below.

The availability of the web hosting service over the past 100 days is 99.5%.

The term availability means the degree to which a system like web hosting is in specified operable and committable state at the start of a mission.

We will find the downtime first.

Given that:

Hosting provider has been up 99% of the time, the downtime is:

= 100 days x (1 - 0.99)

= 1 day

The total time that the service should have been available is:

= 100 days x 24 hours/day

= 2400 hours

The availability as the ratio of uptime to total time is

= (2400 - 12) / 2400 x 100%

= 0.995 x 100%

= 99.5%.

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The equation x² + 4x + 9 = 0 are complex numbers: x = -2 + i√5 and x = -2 - i√5.

To find the solutions for the equation x² + 4x + 9 = 0, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

Comparing this equation with the given equation x² + 4x + 9 = 0, we can see that a = 1, b = 4, and c = 9.

Plugging in these values into the quadratic formula, we have:

x = (-4 ± √(4² - 4(1)(9))) / (2(1))

x = (-4 ± √(16 - 36)) / 2

x = (-4 ± √(-20)) / 2

Since the value inside the square root is negative, we know that the solutions will involve complex numbers. Simplifying further, we have:

x = (-4 ± i√20) / 2

x = (-4 ± 2i√5) / 2

Simplifying the expression by dividing both the numerator and denominator by 2, we get:

x = -2 ± i√5

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Answer:

Yes

Step-by-step explanation:

You can do this

2/3 = 12/18

Do cross products

2 times 18 = 3 times 12

36=36

Given the measures of the angle, the measure of angle A is 109 degrees

We have,

A supplementary angles are angles that add up to 180 degrees. For example 100 and 80 degrees are supplementary angles.

The first step is to determine the value of x:

(4x + 3) + (8x - 27) = 180

12x - 24 = 180

12x = 180 + 24

12x = 204

x = 17

so, we get,

A = 8(17) - 27

  = 109 degrees

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complete question:

∠A and \angle B∠B are supplementary angles. If m\angle A=(8x-27)^{\circ}∠A=(8x−27)

∘

and m\angle B=(4x+3)^{\circ}∠B=(4x+3)

∘

, then find the measure of \angle A∠A.

Answer:

Step-by-step explanation:

The disCount will be the differenceb

Answer:

c

Step-by-step explanation:

The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

The critical value(s) and rejection region(s) for the type of z-test with a level of significance a = 0.03 and a right-tailed test are as follows :Step 1: Determine the critical value of  zThe critical value is calculated by using the normal distribution table and the level of significance. A right-tailed test will have a critical value of zα. For a level of significance of 0.03, we will look for the z-value that corresponds to 0.03 in the normal distribution table.Critical value for a = 0.03 is z = 1.88 (approx).Step 2: Determine the Rejection Region The rejection region for a right-tailed test is defined as any z-value that is greater than the critical value. That is, if the test statistic is greater than 1.88, we reject the null hypothesis at the 0.03 level of significance, and if it is less than or equal to 1.88, we fail to reject the null hypothesis.Therefore, the rejection region for a right-tailed test with a level of significance of 0.03 is as follows:Rejection Region: Z > 1.88  OR  Z ≤ -1.88Graph: The graph for the given values will be as follows:The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

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Answer:

If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. ... Thus, they always form similar triangles.

Step-by-step explanation:

al nth term:

numerator:

\( = {n}^{2} \)

denominator:

\( = n + 1\)

so nth term :

\( = \frac{ {n}^{2} }{n + 1} \)

b). 1; 11; 27; 49

first difference: 10; 16; 22

second difference :6

formula for 1st difference:3a+b

formula for 2nd difference:2a

Therefore:

2a=6

a=3

3a+b=10

sub in a

3(3)+b=10

9+b=10

b=1

sub into quadratic formula

\( {an}^{2} + bn + c\)

\((3) {(1)}^{2} + (1)(1) + c = 1\)

\(3(1) + 1 + c = 1\)

\(3 + 1 + c = 1\)

\(4 + c = 1\)

\(c = - 3\)

So Tn:

\(3 {n }^{2} + 1n - 3\)

Step-by-step explanation:

a)

it is clearly a sequence of the square numbers over the numbers+1.

1/2 = 1²/(1+1)

4/3 = 2²/(2+1)

9/4 = 3²/(3+1)

16/5 = 4²/(4+1)

so, the nth term would be

n²/(n+1)

b)

an² + bn + c creates the sequence with increasing n (n = 1, 2, 3, 4, ...)

since for sequence the first starting value is often not generated by the general expression, we have to focus on n = 2, n = 3 and n = 4, and with that we get 3 equations with 3 variables (a, b, c) that we can solve :

n = 2

a×2² + b×2 + c = 11 = 4a + 2b + c

n = 3

a×3² + b×3 + c = 27 = 9a + 3b + c

n = 4

a×4² + b×4 + c = 49 = 16a + 4b + c

the first equation gives us

c = 11 - 4a - 2b

when we use this in the second equation, we get

27 = 9a + 3b + 11 - 4a - 2b = 5a + b + 11

b = 16 - 5a

now we use both of that in the third equation :

49 = 16a +4(16 - 5a) + 11 - 4a - 2(16 - 5a) =

= 16a + 64 - 20a + 11 - 4a - 32 + 10a =

= 2a + 43

2a = 6

a = 3

b = 16 - 5a = 16 - 5×3 = 16 - 15 = 1

c = 11 - 4a - 2b = 11 - 4×3 - 2×1 = 11 - 12 - 2 = -3

Answer:

x = −70.5 there you go

Answer:

x = -70.5

Step-by-step explanation:

-0.16x - 9.3 = 1.98

-0.16x = 11.28

x = -70.5

When solving proportions, we set the cross products equal, and then we solve for the unknown variable.

When solving proportions, we set the cross products equal to each other and then proceed to solve for the unknown variable. A proportion is an equation that states that two ratios or fractions are equal. To solve a proportion, we first identify the two ratios involved and set their cross-products equal.

For example, consider the proportion: a/b = c/d

To solve for the unknown variable, we set the cross products (a * d) and (b * c) equal:

a * d = b * c

This equation allows us to find the value of the unknown variable by manipulating the equation through multiplication or division to isolate the variable on one side of the equation.

By setting the cross products equal, we essentially establish an equality between the two ratios, indicating that the fractions on either side of the proportion are equivalent. Solving for the unknown variable allows us to determine its value based on the relationship between the given ratios.

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C. 2%; exponential decay

You can use the fact that increasing power of values lying between 0 and 1 results in less and less values.

The percent rate of change in given function is -2%

The function represents exponential decay.

For finding this, first find how much the output y changes if we change x from x to x + 1.

Output when x = x:   \(y = (0.98)^x\)

Output when x = x+1:  \(y = (0.98)^{x+1}\)

Difference in output if x goes from x to x+1: \((0.98)^{x+1} - (0.98)^x = (0.98)^x(0.98 - 1) = -0.02 \times (0.98)^x\) (this change occurs if we increase input x by 1 unit, thus this also represents the rate)

Rate of change of function per unit increment = \(-0.02 \times (0.98)^x\)

The percentage of rate of change is found as:

\(\text{Percent rate of change\:} = \dfrac{\text{Rate of change} \times 100}{\text{previous value}} = \dfrac{-0.02 \times (0.98)^x \times 100}{(0.98)^x} \\\\ \text{Percent rate of change\:} = -2\%\)

Thus, the percent rate of change is -2%

The negative sign shows that the value is decreasing, thus showing that function shows exponential decay.

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The height of the triangle as calculated from the data given above is found out to be as √60 meters.

The given question can be solved by the implication of Pythagorean theorem as the figure is in the form of a triangle.

Let the, base of the triangle be , 2 meters

the hypotenuse be , 8 meter.

Therefore the height of the pole will be ,

AB² = AC²  - BC²

      = 64 - 4

      = 60

Then , we can say that AB = √60

Therefore, the height of the pole is found to be as √60 meters.

Pythagoras theorem states that the sum of two side of a triangle is equal to the hypotenuse of that triangle , AB² = AC²  - BC² .

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