What is this!! Thank you to whoever will help me

If an algorithm is O(n), where n is the input size, then the execution time will scale linearly with the input size.

If an algorithm is O(n), where n is the input size, then the execution time will scale linearly with the input size. Therefore, if the input size is doubled, the execution time will also double. Mathematically, this can be expressed as:

Execution Time (With Doubled Input Size) = 2*Execution Time (With Original Input Size).

For example, if the execution time for an algorithm with an input size of 8 is 10 seconds, then the execution time for an input size of 16 will be 20 seconds. This is due to the fact that the algorithm's complexity is linear, and thus its runtime increases linearly with the input size.

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Answer:

The interval notation would be (-∞, 3.9 feet) ∪ (6.3 feet, ∞).

Step-by-step explanation:

Since the lower and upper bounds are given, those very bounds extend to infinity in this case since there is no limit to the height which would be considered abnormal in this question. Using the lower bounds and upper bounds to construct an interval notation, we get the answer as shown above.

Hope this helped!

The proportion of scores below 12.5 in a normally distributed population with a mean of 10 and a standard deviation of 2 can be calculated using the Z-score and the standard normal distribution table. In this case, we need to find the area under the curve to the left of the value 12.5.

The Z-score is calculated as (X - μ) / σ, where X is the value we want to find the proportion for, μ is the mean, and σ is the standard deviation. Substituting the given values, we have (12.5 - 10) / 2 = 1.25.

Using the standard normal distribution table or a statistical calculator, we can find that the area to the left of a Z-score of 1.25 is approximately 0.8944. Therefore, the proportion of scores below 12.5 is approximately 89.44%.

In a normal distribution, the Z-score measures the number of standard deviations a value is from the mean. By calculating the Z-score for the value 12.5, we can use the standard normal distribution table to find the proportion of scores below that value.

The table provides the cumulative probability up to a certain Z-score. In this case, the Z-score of 1.25 corresponds to a cumulative probability of approximately 0.8944.

Since the normal distribution is symmetric, the proportion of scores above 12.5 is equal to the proportion below the mean minus the proportion below 12.5.

Hence, subtracting 0.8944 from 1 (or 100%) gives us approximately 0.1056 or 10.56%. Therefore, the proportion of scores below 12.5 is approximately 89.44%.

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Answer:

Isometry: An isometry is a transformation that maintains congruency.  This means that the transformation does not change the figure's size or shape.

Make sure your child is familiar with the Cartesian coordinate system including the horizontal x-axis, the vertical y-axis, and the (x,y) convention used for locating points.

If you have not already done so, you may wish to review this congruency lesson with your child.

Translations

This section will help your child to translate congruent figures on a Cartesian plane. It will also introduce translation vectors which show the distance and direction of the translation.

Translations

Figure J is the pre-image. Figure S is translated.

A figure is a translation if it is moved without rotation.

Translation Vector

A Translation Vector is a vector that gives the length and direction of a particular translation. Vectors in the Cartesian plane can be written (x,y) which means a translation of x units horizontally and y units vertically.

figure being translated

Vectors translations can be written as shown in either of these two ways:

format example for writing vectors

This vector can be said to be ray AB or vector D.

You translate a figure according to the numbers indicated by the vector.  So if one point on a figure has coordinates of (-3,3)  and the translation vector is (-1,3), the new coordinate is (-4,6). You add or subtract according to the signs in the numbers in the vector.

Work through the two examples below with your child to see how to apply translation vectors.

square translated on cartesian grid

The red square's coordinates are:

(-4,3); (-4,8); (-9,3); (-9,8).

What are the coordinate pairs under a translation vector of (1,-1) as shown by the blue square?

The new coordinates are:

(-3,2); (-3,7); (-8,2); (-8,7).

You can see that the translation did not move the figure far because the vector translation is small.

square translated on cartesian grid

We will try a different vector translation of (3,-9) on the same red square

The new coordinates are:

(-1,-6); (-1,-1); (-6,-6); (-6,-1).

Get you child to try the next example. Do not look at the answer until he or she has tried to work it through the task.

single triangle on cartesian grid

Task: Translate ΔABC with a vector translation of (6,-2)

Steps:

Find the coordinates of Δ ABC.

Add 6 to the X coordinates and subtract 2 (or add -2) from the Y coordinates.

Plot the new coordinates on the grid.

Answer and Explanation

Coordinates of ΔABC are:

(-5,1); (-2.5,7); (0,1)

Add 6 and subtract 2

A1 = (-5 + 6, 1 - 2) = (1,-1)

B1 = (-2.5 + 6, 7 - 2) = (3.5,5)

C1 = (0 + 6, 1 - 2) = (6,-1)

Plot ΔA1B1C1

Rotations

This section will show your child how to rotate a figure about the origin on a Cartesian plane. Work through the two examples below:

Note: Make sure your child knows that the origin is the intersection of the X and Y axes; (0,0) on the Cartesian plane.

Rotation Transformation: Example 1

Look at the four triangles on the Cartesian plane below. Each one is rotated about the origin as shown in the table.

Triangle B Triangle C Triangle D

90° rotation of Triangle A about the origin 90° rotation of Triangle B about the origin 90° rotation of Triangle C about the origin

 180° rotation of Triangle A about the origin 180° rotation of Triangle B about the origin

   270° rotation of Triangle A about the origin

The coordinates are:

Triangle A (-2,2) (-10,2) (-6,8)

Triangle B (2,2) (2,10) (8,6)

Triangle C (2,-2) (10,-2) (6,-8)

Triangle D (-2,-2) (-2,-10) (-8,-6)

Note the pattern in the coordinates for corresponding vertices on the triangles.

Rotation Transformation: Example 2

The coordinates of Pentagon ABCDE are:

(0,4); (7,4); (9,2); (7,0); (0,0)

Pentagon ABCDE is rotated 180° about

the origin making the coordinates of

Pentagon A1B1C1D1E1:

(0,-4); (-7,-4); (-9,-2); (-7,0); (0,0)

Note how the coordinates of

corresponding vertices are opposite

integers (just the +/- sign is different).

This is always the case with 180°

rotations about the origin.

Reflections

This section will help your child to reflect a figure over an axis on a Cartesian plane

Work through the two reflection examples below.

Reflection Transformation: Example 1

The coordinates of LMNO are:

(-7,5); (0,5); (-2,1); (-5,1)

LMNO is reflected over the X-axis

making the coordinates of

L1M1N1O1:

(-7,-5); (0,-5); (-2,-1); (-5,-1)

Note how the x-coordinates remain the

same but the y-coordinates change to

their opposite integer (i.e. the sign changes).

This is always the case with reflections over the X-axis.

Step-by-step explanation:

The solution is, the coordinates of Z'  will be z' = (6,7),

i.e. option B is correct.

A transformation is a dramatic change in form or appearance. An important event like getting your driver's license, going to college, or getting married can cause a transformation in your life. A transformation is an extreme, radical change.

here, we have,

Given that,

X' are (5,11).

now, See attachment

Required that,

The image of Z i.e. z'

From the attachment:

X =(7,11)

This implies that:

X' = ( x- 2, y)

Using the same rule for z;

z=(8,7)

z' = (8-2, 7)

z' = (6,7)

Hence, The solution is, the coordinates of Z'  will be z' = (6,7),

i.e. option B is correct.

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The coordinates of the point D that partitions the segment in ration 1:2 is D = (4. 3).

The line segment is divided into two pieces by a point, which may or may not be equal. If we know the coordinates of the point, we may calculate the ratio by which the supplied line segment is divided. Also, if we are aware of the ratio that the line segment connecting two places has produced, we may locate the point of division. The two may be accomplished using a section formula from coordinate geometry.

The position of a point that splits a line segment connecting two points into two portions with a length ratio of m:n is found using the section formula.

The coordinates of the point A and B from the given figure is:

A = (1, 3) and B = (10, 3)

The section formula is given as:

(x, y) = (mx2 + nx1 / m+n , my2 + ny1 / m+n)

Substitute the values of m = 1 and n = 2, and the coordinates of the point A and B.

(x, y) = ((1)(10) + (2)(1)/ 3 , (1)(3) + (2)(3) 3)

D(x,y) = (4, 3)

Hence, the coordinates of the point D that partitions the segment in ration 1:2 is D = (4. 3).

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Answer:

True

Step-by-step explanation:

y> -23+2 is everything about the line the -21. So yes,

Answer:

172.5

Step-by-step explanation:

I multiplied the 150 by 1.15 and got the answer 172.5.

Have a great day!

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JL, LK, JK are the smallest angle of a triangle is located across from its smallest side. The biggest side is on the other side of the biggest side.

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The probability that more than 2 angels get their wings in one minute is approximately 86.66%.

To calculate the probability, we need to determine the number of angels that can get their wings in one minute and compare it to the total number of possible outcomes. Given that an angel gets its wings every 60 seconds, we can assume that the number of angels getting their wings follows a Poisson distribution with a mean of 1.

In a Poisson distribution, the probability of a certain number of events occurring within a fixed interval of time is given by the formula: P(x; λ) = (e(⁻λ) * λˣ ) / x!, where x is the number of events and λ is the average rate of events.

In this case, λ = 1, as an angel gets its wings every 60 seconds on average. We want to find the probability that more than 2 angels get their wings, so we need to calculate P(x > 2; 1).

To do this, we can calculate P(x ≤ 2; 1) and subtract it from 1 to get the complement. Using the formula for the Poisson distribution, we find:

P(x ≤ 2; 1) = P(x = 0; 1) + P(x = 1; 1) + P(x = 2; 1)

           = (\(e^(^-^1^)\) * \(1^0\)) / 0! + (\(e^(^-^1^)\) * ) / 1! + (\(e^(^-^1^)\) *\(1^2\)) / 2!

           = \(e^(^-^1^)\) + \(e^(^-^1^)\)+ (\(e^(^-^1^)\)* 1) / 2

           = 0.3678 + 0.3678 + 0.1839

           = 0.9195

Now, we can calculate the complement:

P(x > 2; 1) = 1 - P(x ≤ 2; 1)

           = 1 - 0.9195

           ≈ 0.0805

Therefore, the probability that more than 2 angels get their wings in one minute is approximately 0.0805 or 8.05%.

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This is the power series representation for the function ln((1+x)/(1-x)). Note that the series converges for |x| < 1.

The power series representation for the function ln((1+x)/(1-x)) can be found using Taylor series expansion. First, we need to express the given function in a form suitable for Taylor series expansion.

The Taylor series expansion is a way to represent a function as an infinite series of terms involving powers of the variable centered around a specific point x = a. It is a generalization of the Maclaurin series expansion, which is a special case of the Taylor series when the expansion is centered around x = 0.

The Taylor series expansion of a function f(x) centered at x = a is given by:

f(x) = f(a) + f'(a)(x - a) + f''(a)((x - a)^2/2!) + f'''(a)((x - a)^3/3!) + ...

where f(a) represents the value of the function at x = a, f'(a) represents the derivative of the function evaluated at x = a, f''(a) represents the second derivative evaluated at x = a, and so on. The terms involving higher derivatives are divided by the corresponding factorial to account for the decreasing influence of higher powers of (x - a).

To do this, we can use the following identity:
ln(1+y) = y - y^2/2 + y^3/3 - y^4/4 + ... (where |y| < 1)
In our case, y = (2x)/(1-x), so:
ln((1+x)/(1-x)) = ln(1 + (2x)/(1-x))
Now, applying the identity and substituting y with (2x)/(1-x):
ln((1+x)/(1-x)) = (2x)/(1-x) - ((2x)/(1-x))^2/2 + ((2x)/(1-x))^3/3 - ...
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96% confidence interval for the population mean life of light bulbs produced by the electrical firm to be between 747.63 and 812.37 hours. This can be answered by the concept of standard deviation.

To calculate the confidence interval, we first need to determine the standard error of the mean, which can be calculated using the formula:

Standard Error of Mean = (Standard Deviation of Population) / sqrt(Sample Size)

In this case, the standard deviation of the population is given as 40 hours, and the sample size is 30. Thus, the standard error of the mean can be calculated as:

Standard Error of Mean = 40 / sqrt(30) = 7.32

Next, we need to find the critical value of t for a 96% confidence level with 29 degrees of freedom (n-1). Using a t-distribution table or calculator, we find this to be 2.048.

Using these values, we can calculate the confidence interval using the formula:

Confidence Interval = Sample Mean +/- (Critical Value * Standard Error of Mean)

Substituting the given values, we get:

Confidence Interval = 780 +/- (2.048 * 7.32) = 780 +/- 15.02

Therefore, the 96% confidence interval for the population mean life of light bulbs produced by the electrical firm is between 747.63 and 812.37 hours. This means we can be 96% confident that the true mean life of all light bulbs produced by the firm falls within this interval.

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The correct option is a) (x + y) (y + z). Given the output function F in sum-of-minterms form as F = (0, 1, 2, 3, 7), we need to determine the corresponding Boolean expression for the output function.

A 3x8 decoder has three input variables (x, y, z) and eight output variables, where each output variable corresponds to a unique combination of input variables. The output variables are typically represented as minterms.

Let's analyze the given output function F = (0, 1, 2, 3, 7). The minterms represent the outputs that are equal to 1. By observing the minterms, we can deduce the corresponding Boolean expression.

From the minterms, we can see that the output is equal to 1 when x = 0, y = 0, z = 0 or x = 0, y = 0, z = 1 or x = 0, y = 1, z = 0 or x = 0, y = 1, z = 1 or x = 1, y = 1, z = 1.

By simplifying the above conditions, we get (x + y) (y + z), which is the Boolean expression corresponding to the given output function F.

In summary, the correct option is a) (x + y) (y + z).

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The equation of line b is y = -3x.

An equation is a mathematical statement that expresses the equality of two expressions. It is a representation of a relationship between two or more variables, and it can be written using symbols, numbers, and/or words. Equations are used to describe physical and chemical processes, to calculate unknown values, and to solve problems. Equations are fundamental to all areas of mathematics, science, engineering, and technology.

The equation of line b can be determined by finding the negative reciprocal of the slope of line a. The equation of line a is y = 1/3x + 3, which has a slope of 1/3.

Therefore, the slope of line b is the negative reciprocal of 1/3, which is -3. The equation of line b can be determined by using the slope-intercept form, y = mx + b. Substituting m = -3 and b = 0, the equation of line b is y = -3x + 0. Therefore, the equation of line b is y = -3x.

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Answer:

\( \frac{1}{ {6}^{8} } \)

Step-by-step explanation:

when the is a base raised to a negative power.....put it under 1 and the negative power now becomes a positive power

Example: 5^-2 = 1/5^2

The actual distance between the two cities is 280 miles.

A map's key shows that every of 5 inches on the map represents 200 miles of actual distance. Suppose the distance between two cities on the map is 7 inches. What is the actual distance between the two cities? Write the rule you used to find the actual distance.

The rule used to find the actual distance between the two cities is multiplying the scale factor by the distance on the map.

The scale factor is given as 200 miles for every 5 inches, which means that for every 1 inch on the map, the actual distance is 40 miles. Hence, the actual distance for 7 inches on the map is calculated as follows:

Actual distance = Scale factor × Distance on the map Scale factor = 200 miles / 5 inches = 40 miles per inch distance on the map = 7 inches Actual distance = 40 miles per inch × 7 inches Actual distance = 280 miles

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Answer:

x = 11/90 = 0.122

Step-by-step explanation:

7\(\frac{1}{2}\)x - \(\frac{1}{4}\) = \(\frac{2}{3}\)

15/2x - 1/4 = 2/3

90/12x - 3/12 = 8/12

90/12x = 8/12 + 3/12

90/12x = 11/12

x = (11/12)(12/90) = 132/1080 = 11/90

The coordinate of the other endpoint a line segment with endpoint of (-24, 8) and midpoint of (-16, 12) is ( -8,16 ).

The midpoint formula is expressed as;

M = ( (x₁+x₂)/2, (y₁+y₂)/2

Given the data in the question;

Midpoint (-16, 12)

Endpoint 1 (-24,8)

End point 2

Plug the given values in to the midpoint formula and solve for x₂ and y₂.

M = ( (x₁+x₂)/2, (y₁+y₂)/2

(x,y) = ( (x₁+x₂)/2, (y₁+y₂)/2

First, solve for the x-coordinate

x = (x₁+x₂)/2

2x = x₁ + x₂

2(-16) = -24 +  x₂

-32 = -24 +  x₂

x₂ = -32 + 24

x₂ = -8

Next, solve for the y-coordinate

y = (y₁+y₂)/2

2y = y₁ + y₂

2(12) = 8 + y₂

24 = 8 + y₂

y₂ = 24 - 8

y₂ = 16

Therefore, the coordinate of second endpoint is ( -8,16 ).

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Answer: your answer should be 8.72

The median number of hours spent practicing per week during the nine consecutive weeks is the middle value when the hours are arranged in ascending order.

To find the median, we first need to arrange the recorded number of hours spent practicing per week in ascending order. Let's assume the recorded hours are as follows: 2, 3, 4, 5, 5, 6, 7, 8, 9.

There are a total of nine recorded hours. Since the number of hours is odd, the median will be the middle value. In this case, the middle value is the fifth number, which is 5. Therefore, the median number of hours spent practicing per week during the nine consecutive weeks is 5.

The median is a measure of central tendency that represents the middle value in a set of data. It is a useful measure for finding a typical value in a distribution. In this case, the median gives us an idea of the "typical" number of hours spent practicing per week during the nine-week period.

By arranging the hours in ascending order, we can easily identify the middle value as the median. In situations where there is an even number of data points, the median would be the average of the two middle values.

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The answer of the above question is 1 point.

When you successfully score a basket from the free-throw line, you are awarded 1 point in a basketball game.

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you get one point when you successfully make a free throw from the free-throw line in basketball.

A free throw is awarded to a team when an opposing player commits a foul, and it is an opportunity for the fouled team to score without any defensive pressure. The free throw line is located 15 feet from the basket, and the shooter must shoot the ball within 10 seconds while staying behind the line until the ball leaves their hand. In

when a player successfully makes a free throw from the free-throw line, they earn one point for their team.
When you throw from the free-throw line, you are awarded 1 point per successful shot.

In basketball, a free-throw is attempted from the free-throw line, which is located 15 feet (4.57 meters) away from the backboard. Free-throws are typically awarded due to fouls committed by the opposing team or other specific situations. Each successful free-throw made scores 1 point for the shooting team.

In conclusion, throwing from the free-throw line can earn you 1 point per successful shot in a basketball game.

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Answer:

the answer is B. y=x-(2w+z)

Step-by-step explanation:

The solution to the given expression is y = x - 2(W + z).

An expression is a mathematical expression formed by numbers and mathematical operations.There are many types of expressions like trigonometric expressions,Algebraic expressions, logarithmic expressions and many more.

According to the given question we have to solve for y for the given expression W = (x-y)/2 - z.

W = (x-y)/2 - z.

2W = x - y - 2z.

y = x - 2W - 2z.

y = x -2( W + z).

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Answer:

P(blue) ≈ 14.3%

Step-by-step explanation:

probability P is calculated as

P = ( favourable outcome ) ÷ ( total number of possible outcomes )

here favourable outcome is blue of which there are 3

number of possible outcomes is the total = 6 + 3 + 7 + 5 = 21

P(blue) = \(\frac{3}{21}\) = \(\frac{1}{7}\)

to convert to a percentage multiply the fraction by 100%

P (blue) = \(\frac{1}{7}\) × 100% = 100% ÷ 7 ≈ 14.3% ( to the nearest tenth )

Answer:

14.3%

Step-by-step explanation:

Answer:

11x-4

Step-by-step explanation:

18x + 5 - 7x - 9

Combine like terms

18x-7x   +5-9

11x-4

You have the following points:

(7,r)

(1,-1)

and you have to find the value of r, that makes that the line which crosses the previous points has a slope of m = 1/2.

To find the value of r, you use the following formula for the slope m:

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

where (x1,y1) and (x2,y2) are two point of the line.

The points are:

(x1,y1) => (1,-1)

(x2,y2) => (7,r)

replace the previous values in the formula for the slope m, and solve for r:

m = (r - (-1))/(7 - 1)

m = (r + 1)/(6) multiply both sides by 6

6m = r + 1 subtract both sides by 1

6m - 1 = r replace the value of m = 1/2

6(1/2) - 1 = r

3 - 1 = r

2 = r

Hence, the value of r has to be r = 2 for getting a slope of m = 1/2 of a line which crosses the given points

9514 1404 393

Answer:

  x = -6 or 6

Step-by-step explanation:

The square root is always positive, so the equation simplifies to ...

  \(\sqrt{4x^2}-\sqrt{x^2}=6\\\\2|x|-|x|=6\\\\|x|=6\\\\x=\{-6,\ 6\}\)

_____

The graph shows the solutions to f(x) = 0, where f(x) = √(4x²) -√(x²) -6.