What is the distance between the points (4, 3) and (1, -1) on the coordinate
plane?
OA. 25 units
OB. 50 units
C. 5 units
OD. 10 units
SUBMIT

The set of all strings accepted by M is an infinite decidable subset of L.

Every infinite Turing-recognizable language has an infinite decidable subset.

Let's prove this theorem.

We must know the properties of the Turing recognizable language before the proof. A language is considered Turing recognizable if a Turing machine M accepts all strings in the language, and either rejects or loops forever on all strings not in the language. We can define that any language is infinite if it contains infinite strings.

Similarly, the set of all strings in the language is infinite if the language is infinite.

Let us suppose that L is an infinite Turing-recognizable language over the alphabet Σ. It implies that there exists a Turing machine M that accepts all the strings in L. We need to consider the following facts to prove that every infinite Turing-recognizable language has an infinite decidable subset:

If a Turing machine accepts an infinite number of strings in a language L, then it accepts at least one infinite subset of the language.

Suppose that a Turing machine accepts a language L, then the set of all strings accepted by the Turing machine is decidable.

Now, let's construct a new Turing machine M′ that works in the following manner:

In the first step, M' simulates M on the input w.

In this step, M' generates the strings of Σ* in some order.

In this step, for each string generated in step 2, M' runs M on that string. If M accepts that string, then M' outputs the string.

Suppose that there are only finite strings of L that are accepted by M. It implies that M has an infinite loop on all other strings not in L.

since M′ generates the strings of Σ* in some order, M′ will eventually simulate M on the string w for which M has an infinite loop.

Therefore, M′ will be in an infinite loop and will never halt.

So, the set of all strings accepted by M is infinite. We can say that the set of all strings accepted by M is an infinite decidable subset of L.

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Answer: B 10.6

Explanation:

We would assume that the stock tank is cylindrical. We would calculate the volume by applying the formula,

Volume = πr^h

where

π = 3.14

r is the radius of the cylinder

h is the height of the cylinder

From the information given,

diameter = 3

radius = diameter/2 = 3/2

r = 1.5

h = 1.5

Volume = 3.14 x 1.5^2 x 1.5 = 10.5975 cubic meters

By rounding to the nearest tenth,

Volume = 10.6 cubic meters

Part 1:The letters available are D, C, O, N, O, U. Since no letter is repeated, we can use the rule of permutations to find the number of 4-letter code words that can be formed. The formula for the number of permutations of n distinct objects taken r at a time is: P(n, r) = n!/(n-r)!We have 6 distinct objects (letters) and we want to take 4 of them.

Therefore, the number of 4-letter code words that can be formed without any repetition is:P(6, 4) = 6!/(6-4)! = 6!/2! = 6*5*4*3 = 360So, there are 360 possible 4-letter code words that can be formed if no letter is repeated.Part 2:If letters can be repeated, then we can use the rule of permutations with repetition. The formula for the number of permutations of n objects taken r at a time, with repetition, is:n^rWe have 6 objects and we want to take 4 of them, with repetition.

Therefore, the number of 4-letter code words that can be formed with repetition is:6^4 = 6*6*6*6 = 1,296So, there are 1,296 possible 4-letter code words that can be formed if letters can be repeated. and then we must choose a different letter for the third position, and then we must choose a different letter for the fourth position. After that, we can repeat the cycle starting with the first letter againAdjacent letters must be different: There are 120 possible 4-letter code words that can be formed.

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The row and column totals will be the same as for the observed frequency is 86.4.To find the expected number of people who get fewer than 6 hours of sleep per night and are age 39 or younger, you can use the formula for expected frequency:

Expected Frequency = (Row Total * Column Total) / Grand Total

Let's call the expected frequency "EF."

For the "fewer than 6 hours" row, the total is 72. For the "39 or younger" column, the total is 240. The grand total is 500.

Plugging in the values into the formula:

EF = (72 * 240) / 500

Calculating the result:

EF = 86.4

So, the expected frequency is 86.4, which means that you would expect 86.4 people in the sample to get fewer than 6 hours of sleep per night and be age 39 or younger.

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Answer:

to get a percent you would get the decimal and move it two places and you will get 115.21%

Step-by-step explanation:

with 1.1521 you will get the decimal and move it to the right to get 115.21%

Answer:

Centre = (-1, 5)

radius = 8units

Explanation

The standard form of the equation of a circle is expressed as

x^2+y^2+2gx+2fy+C = 0

Center = (-g, -f)

radius = √g²+f²-C

Given the equation of a circle is x² + y²+ 2x - 10y - 38 = 0.

On comparing

2gx = 2x

2g = 2

g = 2/2

g = 1

2fy = -10y

2f =-10

f =-5

Centre = (-1, -(-5)) = (-1, 5)

radius  = √1²+5²-(-38)

radius = √1+25+38

radius = √64

radius = 8units

Answer:

x = 71/5  (as an improper fraction)

x = 14 1/5 (as a proper fraction

x = 14.2 (as a decimal)

Step-by-step explanation:

It's a rectangle so the diagonals are equal

7x - 9 = 2x + 62

Subtract 2x from both sides

5x - 9 = 62

Add 9 to both sides

5x = 71

Divide both sides by 5

x = 71/5  (as an improper fraction)

x = 14 1/5 (as a proper fraction

x = 14.2 (as a decimal)

Answer:

x= 14.2

Step-by-step explanation:

BD and and AC are equal so

7x-9 = 2x+62

isolate the variable means x = 14.2

first time I had to take out pencil and paper so I hope it's right

Answer:

80

Step-by-step explanation:

10*8=80

Answer:

Step-by-step explanation:

to find height use pythagoras theorem

height be x

a^2+b^2=c^2

x^2+8^2=10^2

x^2+64=100

xx^2=100-64

x^2=36

x=\(\sqrt{36\)

x=6

area of the triangle =base*height/2

=8*6/2

=48/2

=24 square units.

The roots of the given polynomial f(x) = x³ - 8x² - 9x + 72 are x = -3, x = 8 and x = 3.

Polynomials are defined as expressions consisting of one or more terms involving variables to the power and coefficients connecting with mathematical operations.

General form of a polynomial expression is,

a₀ + a₁ x + a₂ x² + ................. + aₙ₋₁ xⁿ⁻¹ + aₙ xⁿ

Given we have the polynomial function,

f(x) = x³ - 8x² - 9x + 72

Given x + 3 is a factor of the polynomial.

Divide x³ - 8x² - 9x + 72 by (x + 3) to get a quadratic expression.

x³ - 8x² - 9x + 72 = (x + 3) (x² - 11x + 24)

So now factor the quadratic equation (x² - 11x + 24).

(x² - 11x + 24) = (x + p) (x + q) such that p × q = 24 and p + q = -11.

Two such number are -8 and -3.

(x² - 11x + 24) = (x - 8) (x - 3)

So, x³ - 8x² - 9x + 72 = (x + 3) (x - 8) (x - 3)

The polynomial is factored.

Roots are,

(x + 3) (x - 8) (x - 3) = 0

x = -3, x = 8 and x = 3

Hence the roots of the polynomial are x = -3, x = 8 and x = 3.

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Light bulbs is normally distributed with a variance of 625 and a mean lifetime of 520 hours, we need to calculate the cumulative probability up to 549 hours. The answer will be rounded to four decimal places.

Given a normally distributed lifetime with a mean of 520 hours and a variance of 625, we can determine the standard deviation (σ) by taking the square root of the variance, which gives us σ = √625 = 25.

To find the probability of a bulb lasting for at most 549 hours, we need to calculate the area under the normal distribution curve up to 549 hours. This can be done by evaluating the cumulative distribution function (CDF) of the normal distribution at the value 549, using the mean (520) and standard deviation (25).

The CDF will give us the probability that a bulb lasts up to a certain point. Rounding the result to four decimal places will provide the desired precision.

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The problem involves using normal distribution to find the probability of a given outcome. Using the Z-score, we can determine that the probability of a light bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%

Given the mean (µ) of the lifetime of a bulb is 520 hours. Also, the variance (σ²) is given as 625. Thus, the standard deviation (σ) is the square root of the variance, which is 25.

To find the probability of a bulb lasting for at most 549 hours, we first calculate the Z score. The Z-score formula is given as follows: Z = (X - µ) / σ, where X is the number of hours, which is 549. So substitute the given values into the formula. Z = (549 - 520) / 25, the Z value is 1.16.

We then look up the Z-table to find the probability associated with this Z-score (1.16), which is approximately 0.8770. Therefore, the probability of a bulb lasting for at most 549 hours is approximately 0.8770 or 87.70%.

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To calculate the trimmed mean for each sample by deleting the smallest and largest observation, we remove the extreme values and find the mean of the remaining data. The corresponding trimming percentage is the percentage of observations excluded from the calculation.

The trimmed mean is a way to reduce the influence of outliers or extreme values in a data set by excluding them from the calculation. By deleting the smallest and largest observations, we remove the outliers and focus on the central tendency of the data.

To find the trimming percentage, we need to determine the number of observations excluded relative to the total number of observations in the sample. Suppose the sample has "n" observations.

When we remove the smallest and largest values, we eliminate 2 observations. Therefore, the trimming percentage can be calculated as (2 / n) * 100.

For example, if the sample has 10 observations, the trimming percentage would be (2 / 10) * 100 = 20%. This means that the smallest and largest values are excluded, representing a trimming of 20% of the data.

In summary, the trimmed mean is calculated by removing the smallest and largest observations and finding the mean of the remaining values. The corresponding trimming percentage is determined by dividing the number of observations excluded by the total number of observations in the sample and multiplying by 100.

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The six main criteria to define normality and abnormality include statistical infrequency, personal distress, others' distress, unexpected behavior, highly consistent/inconsistent behavior, and maladaptiveness/disability.

1. Abnormality as statistical infrequency: This criterion defines abnormality based on behaviors or characteristics that deviate significantly from the statistical norm.

2. Abnormality as personal distress: This criterion focuses on the individual's subjective experience of distress or discomfort. It considers behaviors or experiences that cause significant emotional or psychological distress to the person as abnormal.

For instance, someone experiencing intense anxiety or depression may be considered abnormal based on personal distress.

3. Abnormality as others' distress: This criterion takes into account the impact of behavior on others. It considers behaviors that cause distress, harm, or disruption to others as abnormal.

For example, someone engaging in violent or aggressive behavior that harms others may be considered abnormal based on the distress caused to others.

4. Abnormality as unexpected behavior: This criterion defines abnormality based on behaviors that are considered atypical or unexpected in a given context or situation.

For instance, if someone starts laughing uncontrollably during a sad event, their behavior may be considered abnormal due to its unexpected nature.

5. Abnormality as highly consistent/inconsistent behavior: This criterion involves comparing an individual's behavior to both their own typical behavior and the behavior of others. Consistent or inconsistent patterns of behavior may be considered abnormal.

For example, if a person consistently engages in risky and impulsive behavior, it may be seen as abnormal compared to their own usually cautious behavior or the behavior of others in similar situations.

6. It considers behaviors that are maladaptive, causing difficulties in personal, social, or occupational areas. For instance, someone experiencing severe social anxiety that prevents them from forming relationships or attending school or work may be considered abnormal due to the disability it causes.

The medical model and classification systems used in physical illnesses have both value and limitations when applied to psychological disorders. They provide a structured framework for understanding and diagnosing psychological disorders, allowing for standardized assessment and treatment. However, they can oversimplify the complexity of psychological experiences and may lead to overpathologization or stigmatization.

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Answer:

It’s the last one.

Step-by-step explanation:

135 can also be written as 9 times 15. Since this is a square root, find a factor that is repeated twice. 9 can be broken down into 3 times 3. Hence this goes on the outside. 15 stays inside.

The equation D = 1.5x/y represents the total distance traveled in km in terms of x.

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

We have:

On the first journey, a cyclist traveled 1 1/2 km in x minutes.

As we know,

Speed = distance/time

Distance = 1 1/2 = 3/2 km = 1.5 km

time = x

Speed = 1.5/x

On the second journey, the same cyclist traveled for y hours at the same average speed as on his first journey.

Distance = speed×time

Distannce(D) = (1.5/x)(y)

D = 1.5x/y

Thus, the equation D = 1.5x/y represents the total distance traveled in km in terms of x.

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a) The null hypothesis H sub 0 is that the mean time for the mice to complete the maze with the loud noise is equal to 18 seconds, or H sub 0: µ = 18. The alternative hypothesis H sub a is that the mean time for the mice to complete the maze with the loud noise is less than 18 seconds, or H sub a: µ < 18. A Type I error would occur if the researcher rejects the null hypothesis and concludes that the loud noise causes the mice to complete the maze faster when in fact it does not. A Type II error would occur if the researcher fails to reject the null hypothesis and concludes that the loud noise does not cause the mice to complete the maze faster when in fact it does.

b) The null hypothesis H sub 0 is that the mean score for the teaching assistant's students is equal to 50, or H sub 0: µ = 50. The alternative hypothesis H sub a is that the mean score for the teaching assistant's students is greater than 50, or H sub a: µ > 50. A Type I error would occur if the teaching assistant rejects the null hypothesis and concludes that his students have a higher mean score than the class as a whole when in fact they do not. A Type II error would occur if the teaching assistant fails to reject the null hypothesis and concludes that his students do not have a higher mean score than the class as a whole when in fact they do.

c) The null hypothesis H sub 0 is that the mean percent of total spending on housing for households in the Cleveland metropolitan area is equal to 31%, or H sub 0: µ = 31%. The alternative hypothesis H sub a is that the mean percent of total spending on housing for households in the Cleveland metropolitan area is not equal to 31%, or H sub a: µ ≠ 31%. A Type I error would occur if the homebuilders association rejects the null hypothesis and concludes that the national finding does not apply in their area when in fact it does. A Type II error would occur if the homebuilders association fails to reject the null hypothesis and concludes that the national finding does apply in their area when in fact it does not.

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Using the simplex method, the optimal solution for the given linear programming problem is x = 2, y = 2, z = 0, with the maximum objective value of P = 10.



a. To rewrite the formulation in standard form, we need to replace the inequalities with equality constraints and introduce non-negative variables. Let's assume x, y, and z as the non-negative variables:

Maximize P = 3x + 2y + 4z

Subject to:2x + y + z + s1 = 8

x + 2y + 3z + s2 = 10

x, y, z ≥ 0

b. Utilizing the linear programming simplex method, we can solve the above formulation. After setting up the initial tableau, we perform iterations by selecting a pivot element and applying the simplex algorithm until an optimal solution is reached. The algorithm involves row operations to pivot the tableau until all coefficients in the objective row are non-negative. This ensures the optimality condition is satisfied, and the maximum value of P is obtained.

To provide a brief solution within 120 words, we determine the optimal solution by applying the simplex method to the above formulation. After performing the necessary iterations, we find that the maximum value of P occurs when x = 2, y = 2, z = 0, with P = 10. Therefore, the maximum value of P is 10, and the solution for the given problem is x = 2, y = 2, and z = 0.

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Answer:

2.1 seconds

Step-by-step explanation:

The number of square meters of paint needed to cover the surface is 149.90m²

From the question, we are to determine the number of square meters of paint needed to cover the surfaces

The number of square meters of paint needed to cover the surfaces is equal to the surface area of the solid

Now, we will calculate the surface area of the composite solid

Surface area of the composite solid = \(\pi r^{2} + 2\pi rh_{c} + 2(lh + wh) + lw-\pi r^{2}\)

Where r is the radius of the cylindrical top

\(h_{c}\) is the height of the cylindrical top

\(l\) is the length of the box

\(h\) is the height of the box

\(w\) is the width of the box

From the given information,

r = 2 m

\(h_{c}\) = 3 m

\(l\) = 9 m

\(h\) = 2.4 m

\(w\) = 5 m

Putting the parameters into the equation, we get

Surface area of the composite solid = \((\pi \times 2^{2} )+ (2\pi \times 2 \times 3) + 2(9\times2.4 + 5\times2.4) + 9\times5-(\pi \times 2^{2} )\)

= \((12\pi ) + 2(21.6 + 12) + 45\)

= \(12\pi + 2(33.6 ) + 45\)

= \(12\pi +67.2+ 45\)

\(= 12\pi +112.2\)

\(= 37.699 +112.2\)

\(= 149.8991\) m²

∴ Surface area of the composite solid ≅ 149.90m²

Hence, the number of square meters of paint needed to cover the surface is 149.90m²

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To draw the graph of the function f(x) = 2 - x^2 using a graphing calculator, follow these steps: Turn on your graphing calculator and enter the function f(x) = 2 - x^2 into the calculator's equation editor.

Set the viewing window of the calculator to a suitable range, such as -5 ≤ x ≤ 5 and -5 ≤ y ≤ 5, to capture the shape of the graph. Press the "Graph" button to plot the graph of f(x). The graph of f(x) = 2 - x^2 should appear on the screen as a downward-opening parabola centered at the point (0, 2). You can use the arrow keys on the calculator to move around and explore different parts of the graph.

The graph of f(x) = 2 - x^2 will show a symmetric curve that opens downwards. The highest point on the graph will be at (0, 2), and the curve will extend infinitely in both the positive and negative x-directions.

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Answer:

Step-by-step explanation:

Add easily. 41+56= 97!

Hope it helps

Answer:

B)5k + 11l

Step-by-step explanation:

3k + 5l + 6l + 2k collect like terms

3k + 2k + 5l + 6l

5k + 11l

hope it's helpful ❤❤❤❤

THANK YOU.

The expression is equivalent to the given expression is 5k+11l. Therefore, option B is the correct answer.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression is 3k+5l+6l+2k.

Group like terms and simplify, we get

(3k+2k)+(5l+6l)

= 5k+11l

The expression is equivalent to the given expression is 5k+11l. Therefore, option B is the correct answer.

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Answer:

\(y=-\frac{3}{4} x-4\)

Step-by-step explanation:

When writing an equation of a line using slope-intercept form: y=mx+b, the slope of the line would take the place of m, and the y-intercept would take the place of b. Just substitute these variables for the slope and y-intercept to find the equation of the line.

lmk if this is incorrect, hope it helps!!

Answer:

y= -3/4x-4

Step-by-step explanation:

This is assuming that you want it in slope-intercept (y=mx+b)

You need to know that

Y= The line

m=Slope

b=y-intercept

Step 1, Replace slope (m)

y= -3/4x+b

Step 2, Replace the y-intercept

y= -3/4x-4

Conclusion to 'what is the equation of the line if its slope is -3/4 and Y-intercept is -4': y= -3/4x-4

When rotated about its center, a regular hexagon has 6 rotational symmetries. in addition to rotational symmetry, a regular hexagon has 6 lines of reflectional symmetry.

a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.

When a regular hexagon is rotated about its center, it has 6 rotational symmetries, one for each angle of 60 degrees.

In addition to rotational symmetry, a regular hexagon also has 6 lines of reflectional symmetry. Each line of symmetry passes through the center of the hexagon and two opposite vertices, dividing the hexagon into two congruent halves.

Hence, when rotated about its center, a regular hexagon has 6 rotational symmetries. in addition to rotational symmetry, a regular hexagon has 6 lines of reflectional symmetry.

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Answer:

-8

Step-by-step explanation:

First multiple the x by -4 giving -4x then multiply the same -4 by 2 giving -8

Answer:

\(x=z-\sqrt{-y} , or, x^2=z^2-y^2\\y=z-\sqrt{-x}, or, y^2=z^2-x^2\)

Step-by-step explanation:

I can't do much except put the Pythagorean theorem in terms of y or x.

All I did was isolate x or y by subtracting the, x or y variable from each side.

\(-(y^2)+x^2 +y^2=z^2-(x^2)\\-(y^2)+x^2 +y^2=z^2-(y^2)\)

Which tuns it into:

\(x^2=z^2-y^2\\y^2=z^2-x^2\)

And I isolated further by squaring each side, but squaring negative number is difficult and causes imaginary numbers so I just think it should stay as all of them to the power of two.

Answer:

Step-by-step explanation:

Cylinder is sliced so the cross section is parallel to the base: Circle

Cylinder is sliced so the cross section is perpendicular to the base: Rectangle

Answer: 441

Step-by-step explanation:

21 x 21 = 441

Answer:

21 times 21 is 441

Step-by-step explanation:

i used a calculator

Answer:

The correct answer is one point.

Step-by-step explanation:

In geometry, if two lines cross each other, they will do so at an exact point.

Imagine that the lines are formed by thousands of points located next to each other, which makes us see a line, therefore if they cross, they will do so at a single point that will have a coordinate in (x, y) format.

When the two lines are on the same plane, the following situations may occur:

Answer: 1 & 6

Step-by-step explanation:

It x³ is positive, then x also has to be positive

Save works for negatives

x³ = 1

x = ∛1 = 1

x³ = 216

x = ∛216 = 6