Plot 7/10 and 2 4/5 on the number line

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:

If two individual forces are of equal magnitude and opposite direction, then the forces are said to be balanced. An object is said to be acted upon by an unbalanced force only when there is an individual force that is not being balanced by a force of equal magnitude and in the opposite direction.

Answer:

x=13 x=7

Step-by-step explanation:

distribute 2(3x-6) = 6x-12

Plug in x:  6 x 2 -12>5 x 2-10?  

Plug in x for all the other values (x=13,x=0,x=-5,x=-1,x=7)

x>2 so all values of x have to be greater than 2 (no negatives)

Hope this helps :D

the function will be f(x) = x³ + 2 x² - 8x.

We are given that:

The degree of the polynomial function f(x) is = 3

Roots of the function for f(x) = 0 are:

-4, 0 and 2

That is

x = -4, x = 0 and x = 2

Which can also be written as:

x + 4 = 0, x = 0 and x - 2 = 0

So, the function will be:

f(x) = (x + 4) (x) (x - 2)

f(x) = x (x² - 2 x + 4 x - 8)

f(x) = x (x² + 2 x - 8)

f(x) = x³ + 2 x² - 8x

Graph of the function is shown in the image.

Therefore, the function will be f(x) = x³ + 2 x² - 8x.

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Answer:

Step-by-step explanation:

19 and 7

Answer:

T-shirt = $71.80

Hat= $76.50

Foam Finger= $92.25

Poster= $28.50

I think.

Step-by-step explanation:

Answer:

T-shirt: $71.8

Hat: $76.5

Foam Finger: $92.25

Poster: $28.5

Answer:

14

Step-by-step explanation:

Given:

A student earned a grade of 70% on a math test that had 20 problems.

To Find:

How many problems on this test did the student answer correctly? ( round to the nearest whole number)

Solve:

When I solve these question I have a formula.

Which is

Number of question correctly ÷ Total × 100

Thus,

1/20 × 100 = 5%

2/20 × 100 = 10%

3/20 × 100 = 15%

4/20 × 100 = 20%

5/20 × 100 = 25%

6/20 × 100 = 30%

7/20 × 100 = 35%

8/20 × 100 = 40%

9/20 × 100 = 45%

10/20 × 100 = 50%

11/20 × 100 = 55%

12/20 × 100 = 60%

13/20 × 100 = 65%

14/20 × 100 = 70%

15/20 × 100 = 75%

16/20 × 100 = 80%

17/20 × 100 = 85%

18/20 × 100 = 90%

19/20 × 100 = 95%

20/20 × 100 = 100%

As you can see that 14/20 × 100 = 70%

Hence, the student answer 14 question correct.

Kavinsky

Answer:

(a)∠1 and ∠6.

(b)∠5 and ∠6.

(c)∠3 and ∠4.

Explanation:

(a)Vertical Angles are angles that form an X-Shape.

A pair of vertical angles is ∠1 and ∠6.

(b)Linear pairs are two angles on a straight line that adds up to 180 degrees.

A linear pair is ∠5 and ∠6.

(c)A pair of supplementary angles are two angles that add up to 180 degrees.

An example is ∠3 and ∠4.

Answer:

I'm pretty sure it's C I may be wrong though

Step-by-step explanation:

The area of the composite figure composed of two rectangles is 217 centimetres squared

The area of the composite figure can be found as follows:

The area of the composite figure can be found by adding up the individual area of each shape in the figure.

Therefore,

area of the figure = area of rectangle + area of rectangle

area of a rectangle = lw

where

Therefore,

area of the figure =  (14 × 11) + (7 × 9)

area of the figure = 154 + 63

area of the figure = 217 cm²

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When dealing with real-life triangles, it's important to account for these factors and consider the limitations and uncertainties inherent in measurements and physical properties.

When dealing with real-life triangles, there are several additional issues or considerations that may arise, which are different from the idealized representations we often encounter in mathematics. Some of these issues include:

1. Measurement Errors in Real-life triangles may involve measurements that are subject to errors and uncertainties. Whether it's measuring the lengths of the sides or the angles of a triangle, there can be limitations in the accuracy of the measurements due to various factors like human error, instrument limitations, or environmental conditions.

2. Imperfect Shapes in Real-life triangles may not have perfect geometric shapes. The sides may be slightly curved instead of being straight lines, and the angles may not be precisely 90 degrees, 60 degrees, or 30 degrees as assumed in idealized triangles. This is especially true when dealing with natural objects or irregular structures.

3. Environmental Factors in Real-life triangles can be influenced by environmental factors that affect their properties. For example, in the case of construction or engineering, factors like temperature changes, humidity, stress, and strain on materials can impact the actual measurements and behavior of triangles.

4. Structural Deformation in Triangles that are part of structures or objects can experience deformation due to various forces acting upon them. This deformation can cause changes in the angles and lengths of the sides, altering the triangle's properties from their idealized representations.

5. Practical Constraints in practical applications, there might be constraints or limitations on the properties of triangles. For instance, in architectural design or construction, certain triangles may be preferred due to their stability, load-bearing capacity, or aesthetic considerations, which may differ from purely mathematical considerations.

Practical applications often involve addressing these real-world challenges to ensure accurate calculations, analysis, and design.

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Answer:

Step-by-step explanation:

12,787

a. ^p^ represents the proportion of adults who chose chocolate pie, ^q^ represents the proportion of adults who did not choose chocolate pie, n represents the sample size, E represents the margin of error, and p represents the population proportion.

b. The value of α for a 99.99% confidence level is 0.0001.

a. ^p^ represents the sample proportion of adults who chose chocolate pie, ^q^ represents the proportion of adults who did not choose chocolate pie (1 - ^p^), n represents the sample size of 1500, E represents the margin of error of ±3 percentage points (0.03), and p represents the population proportion of adults who choose chocolate pie.

b. To find the value of α for a 99.99% confidence level, we need to subtract the confidence level from 100% to get the level of significance, which is 0.0001. This means that there is a 0.0001 probability of rejecting the null hypothesis when it is actually true.

The level of significance (α) is used to determine the critical value for the test statistic, which is then used to determine whether or not to reject the null hypothesis.

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Answer:

-7

Step-by-step explanation:

Prisms and pyramids are  geometric shapes that have flat sides, flat bases and angles. So those are some similarities. However, the bases and side faces on prisms and pyramids differ. Prisms have two bases while pyramids only have one. There are a variety of pyramids and prisms, so not all shapes in each category look the same.

Hit the heart if this was helpful

Answer:

D. 51

Step-by-step explanation:

First of all A. is out cause it's not a number.

Natural numbers are counted from 1 so officially B and C are out.

Integers are numbers which can be both negative or positive

This leaves us with D. which is 51

The given statement is false.

Statistics is a science concerned with developing and studying methods of collecting, analyzing, interpreting, and presenting empirical data. Statistical research is applicable to virtually all scientific disciplines, and research challenges in various scientific disciplines motivate the development of new statistical methods and theories. Statisticians use a variety of mathematical and computational tools to develop methods and study the theory behind methods.

The given statement is false: A p-value is the probability of obtaining a sample statistic less extreme than the one observed under the assumption that the statement in the null hypothesis is true.

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The cumulative downtime per year of an SLA percentage of 99.95 is 4 hours, 21 minutes, 58 seconds.

The  SLA Downtime refers to the time duration that a machine or service is unavailable.

The SLA Uptime is the amount of time a machine or service is available.

The cumulative downtime per year of an SLA percentage of 99.95 will give the following:

An SLA percentage of 99,95 gives 43 seconds daily downtime.

In a year, cumulative downtime = 43 seconds  * 365 = 15695 seconds

Converting to hours and minutes give a downtime of 4 hours, 21 minutes, 58 seconds.

In conclusion, downtime refers to unavailability of a given machine or service.

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Answer:

The answer is (-4, 2).

It shows that answer in the picture but not on your answer choices, so I would just select (-4, -2) and then discuss it with your instructor because it is most likely a typo considering the other answer choices correlate to the picture.

The measure of the amount of random sampling error in a survey's result is known as margin of error.

The margin of error is a statistical concept that quantifies the degree of uncertainty or sampling error associated with survey results. It provides an estimate of the range within which the true population parameter is likely to fall. The margin of error is typically expressed as a percentage and is based on the sample size and the level of confidence desired.

In survey research, random sampling error refers to the natural variability that occurs when a subset of individuals, known as the sample, is selected to represent a larger population. It arises because the sample is not an exact replica of the entire population. The margin of error takes into account this inherent variability and provides a measure of how much the survey results might deviate from the true population values.

A larger sample size generally leads to a smaller margin of error, as it reduces the random variability associated with sampling. Similarly, a higher level of confidence, such as 95% confidence level, results in a larger margin of error to account for a wider range of potential values.

By considering the margin of error, survey researchers can assess the reliability and precision of their findings, providing a range of values within which the true population parameter is likely to reside.

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A group contains n men and n women. 2n! number of ways are there to arrange these people in a row if the men and women alternate. Arrangement is known as permutation.

A permutation of a set in mathematics is, broadly speaking, the rearrangement of its elements if the set already has an ordered structure into a sequence or linear order. The act or procedure of altering the linear order of an ordered set is referred to as a "permutation."

When the order of the arrangements counts, a permutation is a mathematical technique that establishes the total number of alternative arrangements in a collection. Choosing only a few items from a collection of options in a specific sequence is a common task in arithmetic problems.

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Using Pascal's triangle we can find the binomial coefficient, by which we get 1m^4 + 16m^3 + 96m^2 + 128m + 256

Pascal's triangle is a triangular array of numbers in which each number is the sum of the two numbers directly above it. It is named after the French mathematician Blaise Pascal, who studied its properties in the 17th century. The rows of the triangle are numbered starting from 0, and the first number in row n is always 1. The other numbers in row n are the sum of the corresponding number in row n-1 and the number directly above it. The nth number in the kth row of Pascal's triangle is denoted by C(n,k) and it is called binomial coefficient, it is also denoted by nCk. It is used in many areas of mathematics, particularly in combinatorics and algebra, and it can be used to expand binomial expressions using the binomial theorem.

The binomial theorem states that for any non-negative integer n and any binomial expression (a+b)^n, the expansion is given by:

(a+b)^n = C(n,0)a^n*b^0 + C(n,1)a^(n-1)*b^1 + C(n,2)a^(n-2)b^2 + ... + C(n,n)a^0b^n

where C(n,k) = n!/(k!(n-k)!) is the binomial coefficient, which can be found using Pascal's triangle.

Using this theorem:

(m+4)^4 = C(4,0)m^44^0 + C(4,1)m^34^1 + C(4,2)m^24^2 + C(4,3)m^14^3 + C(4,4)m^0*4^4

Using Pascal's triangle we can find the binomial coefficient:

C(4,0)=1, C(4,1)=4, C(4,2)=6, C(4,3)=4, C(4,4)=1

So the expanded form of (m+4)^4 is:

1m^4 + 4m^34 + 6m^24^2 + 4m4^3 + 14^4

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There are 19.5 years will he have to wait to be able to withdraw money without penalty.

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

We have to given that;

Jared has just turned 40 years old and he has retirement savings in an IRA.

Since, We know that;

After 60 years age for withdraw money penalty have been generate.

Hence, Number of years will he have to wait to be able to withdraw money without penalty is,

⇒ 59.5 - 40

⇒ 19.5

Thus, There are 19.5 years will he have to wait to be able to withdraw money without penalty.

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Answer: The equation of a line in the form y = mx + b can be found using the slope-intercept form, where m is the slope of the line and b is the y-intercept. To find the equation of BC, we need to find the slope of the line and one point on the line.

The slope of the line can be found using the two points A and B. The slope of the line can be calculated using the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of points A and B, respectively. Plugging in the values, we get:

m = (4 - (-1)) / (4 - (-3)) = 5 / 7

So the slope of the line BC is 5/7.

One point on the line BC is B = (4, 4), so we can use this point and the slope to find the y-intercept:

b = y - mx

where y and x are the y and x coordinates of point B, respectively. Plugging in the values, we get:

b = 4 - (5/7) * 4 = 4 - 20/7 = -16/7

So the equation of line BC in the slope-intercept form is:

y = (5/7)x - 16/7

Step-by-step explanation:

let's move like the crab, backwards, let's get hmmm EF first

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{17}\\ a=\stackrel{adjacent}{10}\\ o=\stackrel{opposite}{EF} \end{cases} \\\\\\ EF=\sqrt{ 17^2 - 10^2}\implies EF=\sqrt{ 189 }\implies EF\approx 13.7 \\\\[-0.35em] ~\dotfill\)

\(\sin( F )=\cfrac{\stackrel{opposite}{10}}{\underset{hypotenuse}{17}} \implies \sin^{-1}(~~\sin( F )~~) =\sin^{-1}\left( \cfrac{10}{17} \right) \\\\\\ F =\sin^{-1}\left( \cfrac{10}{17} \right)\implies F \approx 36^o \\\\[-0.35em] ~\dotfill\\\\ \cos(D )=\cfrac{\stackrel{adjacent}{10}}{\underset{hypotenuse}{17}} \implies \cos^{-1}(~~\cos( D )~~) =\cos^{-1}\left( \cfrac{10}{17} \right) \\\\\\ D =\cos^{-1}\left( \cfrac{10}{17} \right)\implies D \approx 54^o\)

Make sure your calculator is in Degree mode.

From the situation described in the problem, we have that:

a) The sinusoidal function that models the depth of the water is given by: D(t) = 2sin(π/6x) + 3.

b) After 4 hours, the depth is of 4.732 meters.

The sine function is defined as follows:

g(x) = a sin(bx+c)+d.

The coefficients are defined as follows:

For this problem, the minimum value is of 1 and the maximum value is of 5, having a difference of 4, hence the amplitude is found as follows:

2a = 4 -> a = 2.

A standard sine function with an amplitude of 2 varies between -2 and 2, while this varies between 1 and 5, meaning that it had a vertical shift up 3 units, and d = 3.

The period is of 12 hours, hence:

2π/B = 12

12B = 2π

B = π/6.

The function has no phase shift, hence c = 0 and the function is given by:

D(t) = 2sin(π/6x) + 3.

From point (4, 4.732) on the graph of the function, after 4 hours, the depth is of 4.732 meters.

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The speed of the curve at t=4 is approximately 40.63.

We have a given curve as follows:

¯ r ( t ) = ⟨ 5 t 2 − 6 , 7 t − 6 , t 3 8 t ⟩ at t = 4

To find the speed of the curve at t=4, we need to evaluate the magnitude of its velocity vector at t=4.

Velocity vector is the derivative of the curve with respect to time.

Hence, we start by finding the derivative of the curve. The derivative of the curve can be obtained as follows:¯ r'(t) = ⟨10t, 7, (3/8)t² - (3/8)⟩We can now evaluate the velocity vector at t=4:

¯ r'(4) = ⟨10*4, 7, (3/8)(4²) - (3/8)⟩= ⟨40, 7, 1.5⟩

To find the speed of the curve at t=4, we need to evaluate the magnitude of the velocity vector at t=4. The magnitude of a vector can be obtained using the formula:

|v| = √(v₁² + v₂² + v₃² +...)

Therefore, the speed of the curve ¯ r ( t ) = ⟨ 5 t 2 − 6 , 7 t − 6 , t 3 8 t ⟩ at t = 4 is:

|¯ r'(4)| = √(40² + 7² + 1.5²)= √(1600 + 49 + 2.25)= √1651.25≈ 40.63

The speed of the curve at t=4 is approximately 40.63.

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Answer:

The answer is C

Hope I can be brainliest (:

Answer:

C. y = 25 - 1.25x

Step-by-step explanation:

Y is result.

25 is original amount.

1.25 is being subtracted.

x is how many times being subtracted.