From the story the Black cat why did the man take out the cats eye

Answer: Adding and subtracting polynomials are both arithmetic operations used in algebra. The main difference between the two operations is the sign of the terms being combined.

Adding polynomials involves combining like terms by adding their coefficients. When adding polynomials, the terms being added have the same sign. For example, when adding the polynomials x^2 + 2x + 1 and 3x^2 + 4x + 2, we combine the like terms (x^2 terms, x terms, and constant terms) by adding their coefficients:

(x^2 + 2x + 1) + (3x^2 + 4x + 2) = 4x^2 + 6x + 3

Subtracting polynomials involves subtracting one polynomial from another by changing the sign of each term in the polynomial being subtracted and then adding the resulting polynomials. When subtracting polynomials, the terms being subtracted have opposite signs. For example, when subtracting the polynomial 3x^2 + 4x + 2 from the polynomial x^2 + 2x + 1, we first change the sign of each term in the polynomial being subtracted:

(x^2 + 2x + 1) - (3x^2 + 4x + 2) = x^2 + 2x + 1 - 3x^2 - 4x - 2

Then, we combine the like terms by adding their coefficients:

x^2 -  x - 1

In summary, the main difference between adding and subtracting polynomials is that adding involves combining like terms with the same sign, while subtracting involves changing the sign of one polynomial and then adding the resulting polynomials.

Step-by-step explanation:

. Write the equation for the line: (Hint: there are two points given to you!)

________________________

y= mx + b

the slope is m

or

(y - y1) = m (x - x1)

___________________

points (x,y)

point 1 (4, 4) x1 = 4; y1 = 4

point 2 (3 , -1) x2= 3; y2 = -1

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

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

m= -5/-1 = 5

(In this case, you choose which point you want to put as point one and point two, you will always get the same answer)

____________________

(y - 4) = 5 (x - 4)

y= 5x -20 +4

y= 5x - 16

The equation for the line is y= 5x - 16

__________________

Do you have any questions regarding the solution?

The distance from the line x=4 to the given point (-2,5) is 6 units .

Distance formula from line to point :

The distance from the line ax+by+c=0 to the point (u,v) is given by the formula

\(distance=\frac{|au+bv+c|}{\sqrt{a^{2} +b^{2} } }\)

In the given question

the equation of the line is \(x=4\)

taking all the terms to Left side we get

\(x-4=0\)

\(1.x+0.y-4=0\)

given the points (-2,5)

From above values we the values as a=1 , b=0 , c=-4 , u=-2 , v=5 .

Substituting the values in the distance formula we get

\(d=\frac{|1*(-2)+0*(5)-4|}{\sqrt{1^{2} +0^{2} } }\)

\(=\frac{|-2+0-4|}{1} \\ \\ =|-6|\\ \\ =6\)

Therefore , the distance from the line x=4 to the given point (-2,5) is 6 units.

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Answer:

Step-by-step explanation:

(x,y) = (48/7, -22)

Answer:

Inverse of 11(x-3) : x/11+3

Slope of 11(x-3) : m=11

Step-by-step explanation:

= 11(x-3)

= x intercepts (3,0), y intercepts (0,-33)

= Inverse of 11(x-3) : X/11+3

= slope of 11(x-3) : m=11

Answer:

27

Step-by-step explanation:

3x3+2x9=27

Answer:

20° and 70°

Step-by-step explanation:

Complementary angles sum up to 90°.

The angle = x

Its complement = x + 50

x + x + 50 = 90

2x = 40

x° = 20°

20+50=70

Answer: 70°  and 20°

Step-by-step explanation:

Complementary angles add up to 90 degrees  and we now that one angles measure is 50 degrees less than the other. So we can represent it by the expression   x = y -50    where x  and y are the two angles. We don't the value of y so it will be just y .

Now we know that if we add them,they will equation 90 degrees so we can represent it by the equation,

y + y-50 = 90  Now solve for y

2y - 50 = 90  

      +50  +50

2y = 140

y = 70  

Now we know one angles is 70 degrees and the other is 50  less than it so the other angle will be   70 - 50 = 20  

The characteristic of the classical approach to probability is that the probabilities assume outcomes of an experiment are equally likely , the correct answer is (d) .

The Classical Approach to probability is also known as the "classical method" .

The classical approach is based on the assumption that all outcomes of an experiment are equally likely to occur.

The probability of an event is then calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

This classical approach is often used in situations where the outcomes of an experiment can be clearly defined and enumerated.

Therefore, the correct statement about Classical Approach is in Option(d).

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The given question is incomplete , the complete question is

Which one of the following is a characteristic of the classical approach to probability?

(a) Probabilities are based on outcomes observed from past experiments.

(b) None of the above.

(c) Probabilities are based on opinion.

(d) Probabilities assume outcomes of an experiment are equally likely.

Answer:

Step-by-step explanation:

if CB = 1/2 of AB it is understood that it is half of an equilateral triangle and AC is the height, three sides and three congruent angles, the sum of the internal angles of a triangle is 180°, therefore 180:3=60° , but the height divides the angle A in two therefore 30°, C is a right angle so 90°

Answer:

$16.80

Step-by-step explanation:

20/100 = 0.20

14 x 0.20 = 2.8

14 + 2.8 = 16.8

Answer:

28.00

Step-by-step explanation:

14.00. x 20 = 28.00

28 divided by 14= 2

Answer:

it more than tripled

Step-by-step explanation:

I'm not sure if you need more but it requires me to type more to send the answer

Answer:

It more than tripled

Step-by-step explanation:

Right on Edge 2021

Answer:Answer is C

Step-by-step explanation:

If a cross-section is parallel to the base it will be a triangle because the bases are triangles.

If the average value of the function f on the interval 1 < x < 4 is 8,  the value of so (3f(x) + 2x) dx is 15. None of the given options (A, B, C, D) is correct.

To find the value of ∫(3f(x) + 2x) dx over the interval 1 < x < 4, we need to use the given information that the average value of the function f on this interval is 8.

The average value of a function f(x) over the interval [a, b] is given by:

Avg(f) = (1 / (b - a)) * ∫[a, b] f(x) dx

In this case, the average value of f on the interval 1 < x < 4 is 8. So we have:

8 = (1 / (4 - 1)) * ∫[1, 4] f(x) dx

8 = (1 / 3) * ∫[1, 4] f(x) dx

Multiplying both sides by 3, we get:

24 = ∫[1, 4] f(x) dx

Now, we can substitute this value into the integral we want to evaluate:

∫(3f(x) + 2x) dx = ∫3f(x) dx + ∫2x dx

Since we know that ∫3f(x) dx over the interval 1 < x < 4 is equal to 24, and the integral of 2x dx is x², we can calculate:

∫(3f(x) + 2x) dx = ∫3f(x) dx + ∫2x dx

= 24 + x²

To find the value of the integral over the interval 1 < x < 4, we evaluate the expression at x = 4 and subtract the value at x = 1:

∫(3f(x) + 2x) dx = 24 + (4)² - (24 + (1)²)

= 24 + 16 - 24 - 1

= 15

Therefore, the value of ∫(3f(x) + 2x) dx over the interval 1 < x < 4 is 15.

None of the given options (A, B, C, D) match the calculated value of 15.

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Answer:the y axis

Step-by-step explanation: use desmos graphing

Answer:

2 (x + 4)(3x - 25)

Step-by-step explanation:

\(6 {x}^{2} - 26x - 200\)

\(3 {x}^{2} - 13x - 100\)

\(2 (x + 4)(3x - 25)\)

Answer:

y

2

​

=−

2

z

​

+7

Steps for Solving Linear Equation

z=18−2×2−2y2

Multiply 2 and 2 to get 4.

z=18−4−2y

2

​

Subtract 4 from 18 to get 14.

z=14−2y

2

​

Swap sides so that all variable terms are on the left hand side.

14−2y

2

​

=z

Subtract 14 from both sides.

−2y

2

​

=z−14

Divide both sides by −2.

−2

−2y

2

​

​

=

−2

z−14

​

Dividing by −2 undoes the multiplication by −2.

y

2

​

=

−2

z−14

​

Divide z−14 by −2.

y

2

​

=−

2

z

​

+7

Step-by-step explanation:

the given equation defines a paraboloid that lies below the plane z=0. Specifically, it is situated above the xy-plane, which means that the z-values of all points on the surface are greater than or equal to zero.

we can break down the equation z=18-2x^2-2y^2. This equation represents a paraboloid with its vertex at (0,0,18) and axis of symmetry along the z-axis. The first term 18 is the z-coordinate of the vertex and the last two terms -2x^2 and -2y^2 determine the shape of the paraboloid.

Since the coefficient of x^2 and y^2 terms are negative, the paraboloid is downward facing and opens along the negative z-axis. Therefore, all points on the paraboloid have z-values less than 18. Additionally, since the paraboloid is situated above the xy-plane, its z-values are greater than or equal to zero.

the paraboloid defined by the equation z=18-2x^2-2y^2 is situated below the plane z=0 and above the xy-plane. Its vertex is at (0,0,18) and it opens along the negative z-axis.

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The standard deviation of the amount paid for monthly water usage is $35.25

From the summary statistics, we have:

Standard deviation, σ = 2350

Rate = $0.015

The standard deviation of the amount is calculated using:

σ = Standard deviation * rate

This gives

σ = 2350 * $0.015

Evaluate

σ = $35.25

Hence, the standard deviation of the amount paid for monthly water usage is $35.25

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The only true statement is

To begin converting the equation to standard form, abate 36 from both sides.

To dissect the given circle equation x² + 2 + 4x - 64 - 36 = 0, let's go through the handed statements one by one

1. To begin converting the equation to standard form, abate 36 from both sides.

This statement is true.

By abating 36 from both sides, the equation becomes x² + 2x + 4x -100 = 0.

2. To complete the forecourt for the × terms, add 4 to both sides.

This statement isn't true.

Adding 4 to both sides would not complete the forecourt for the x terms. In this equation, we do not need to complete the square since the x terms are formerly in standard form.

3. The center of the circle is at(- 2, 3).

This statement isn't true.

The equation x² + 2x + 4x -100 = 0 isn't in the form( x- h)² + ( y- k)² = r², which represents the equation of a circle centered at the point( h, k). thus, we can not determine the center of the circle from this equation.

4. The center of the circle is at( 4,-6).

This statement isn't true. As explained in statement 3, we can not determine the center of the circle from the given equation.

5. The compass of the circle is 6 units.

This statement isn't true. The compass of the circle can not be determined from the given equation.

6. The compass of the circle is 49 units.

This statement isn't true. The compass of the circle can not be determined from the given equation.

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The Theissen weight for a catchment shaped as an equilateral triangle with rain gauges on each corner is the smallest value among the weights assigned to each gauge, representing the area of influence for rainfall measurement.

The Theissen weight, also known as the Voronoi weight, is a method used in hydrology to estimate rainfall over a catchment area based on the proximity of rain gauges. In this scenario, we have an equilateral triangle-shaped catchment with rain gauges located at each corner. The Theissen weight for each gauge is determined by drawing lines bisecting the sides of the triangle from the corresponding gauge to the midpoint of the opposite side. The area within each bisected triangle represents the influence of that gauge on the catchment. The smallest Theissen weight is then the minimum value among the weights assigned to each gauge, indicating the smallest area of influence for rainfall measurement within the catchment.

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Answer:

4√3

Step-by-step explanation:

5√27-2√48-5√3-(√3-2√3)2

= 5√(3x9)-2√(3x16)-5√3-2√3+4√3

= 5(3)√3-2(4)√3-5√3-2√3+4√3

= 15√3-8√3-5√3-2√3+4√3

= 4√3

Answer:

We can start by using the tangent formula:

tan(P) = sin(P) / cos(P)

We are not given the values of sin(P) and cos(P) directly, but we can use the Pythagorean identity to relate them:

sin^2(P) + cos^2(P) = 1

We can rearrange this expression to solve for sin(P) in terms of cos(P):

sin^2(P) = 1 - cos^2(P)

sin(P) = ±√(1 - cos^2(P))

Now we can substitute this expression into the tangent formula:

tan(P) = ±√(1 - cos^2(P)) / cos(P)

Substituting the given values and simplifying:

tan(P) = ±√(1 - (2/√85)^2) / (1/√89)

tan(P) = ±√(1 - 4/85) * √89

tan(P) = ±√(81/85) * √89 / 1

We want to express tan P in simplest radical form, so we can simplify the square root by factoring out the greatest perfect square factor of the numerator:

tan(P) = ±(√9/√85) * (√89/1)

tan(P) = ±(3/√85) * (√89/1)

Therefore, the exact value of tan P in simplest radical form is ±(3/√85) * (√89/1).

Step-by-step explanation:

1 kg = 1000 grams (hence the name : "kilo" means 1000).

so, 2kg = 2×1000 = 2000 grams.

now, how many CDs are in 2000 grams, when 1 weighs 10 grams ?

in other words : how often does 19 grams fit into 2000 grams ?

that is what division is for :

2000/10 = 200

so, you would need 200 CDs to reach 2kg.

Answer:

1)

1/2 does not belong to the set

All other numbers belong to the Integers (Z).

2)

√7 does not belong to the set.

All other numbers are rational numbers (Q).

When the constant of proportionality is found for the ratios 10 : 8 and 4 : 5, then it is proved that the two ratios are not proportional.

What is a COP?

The ratio between two quantities that are directly proportional is the constant of proportionality. When two quantities grow and shrink at the same rate, they are directly proportional.

The ratios given are - 10 : 8 and 4 : 5

To find if the two ratios are proportional, find the Constant of Proportionality.

To find the COP value write each ratio in fractional form -

COP1 = 10/8

COP1 = 5/4

COP1 = 1.25

The COP value for first ratio is 1.25.

COP2 = 4/5

COP2 = 0.8

The COP value for second ratio is 0.8.

It can be seen that COP1 ≠ COP2.

Therefore, the two ratios are not proportional.

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In the given , X₁, X₂, ..., X₁₀ represents an independent random sample from a population X with unknown mean μ and unknown variance σ². The first paragraph provides a summary of the definitions of the statistics X and s². The second paragraph explains how to find a pivot for μ and states its distribution. The third paragraph outlines the procedure to calculate a 95% confidence interval for μ based on the observed sample mean and variance.

a) The statistic X represents the sample mean and is calculated by taking the average of all the sample values: X = (X₁ + X₂ + ... + X₁₀)/10. The statistic s² represents the sample variance and is calculated by summing the squared differences between each sample value and the sample mean, and then dividing by (n-1): s² = [(X₁ - X)² + (X₂ - X)² + ... + (X₁₀ - X)²]/9.

b) To find a pivot for μ, we can use the statistic T = (X - μ)/(s/√n), which follows a Student's t-distribution with (n-1) degrees of freedom.

c) Given xbar = 10 and s² = 4, we can calculate the standard error of the mean (SE) as SE = s/√n = 2/√10. Using the t-distribution with (n-1) = 9 degrees of freedom, the critical value at a 95% confidence level is t(0.025, 9) ≈ 2.262.

The margin of error (ME) is then ME = t * SE = 2.262 * (2/√10). Finally, we can construct the confidence interval for μ as (xbar - ME, xbar + ME), which gives us the 95% confidence interval (μL, μU) = (10 - ME, 10 + ME) for μ.

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No, we cannot use the binomial probability formula with x counting the number who are left-handed in this case

This is because the adults surveyed were selected without replacement. The binomial distribution requires that the samples are independent and identically distributed (i.e., the probability of success remains constant for each trial).

However, when we sample without replacement, the probabilities are not constant because the population size changes with each selection. This means that the probability of selecting a left-handed person for the first selection is not the same as the probability of selecting a left-handed person for the second selection, and so on. Therefore, we cannot use the binomial distribution to calculate the probability of at least 30 left-handed adults among 100 selected without replacement from the US population.

Instead, we can use the hypergeometric distribution to calculate the probability of at least 30 left-handed adults among 100 selected without replacement from the US population. The hypergeometric distribution takes into account the changing probabilities as each selection is made without assuming that the selections are independent.

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The value of Sin2t is 1/4 and cos2t is (15/16)^1/2  and tan2t is 1/(15)^1/2.

According to the statement

we have given that the sint=1/8 then we have to find the exact value of

sin(2t) , cos(2t) , and tan(2t).

Here the value of Sint = 18

then sin2t becomes

sin2t = 2*1/8 then

sin2t = 1/4.

And

(Cos2t)^2 = 1 - (Sin2t)^2

(Cos2t)^2 = 1 - 1/16

(Cos2t)^2 = (16 - 1)/16

(Cos2t)^2 = 15/16

(Cos2t) = (15/16)^1/2

then

tan2t = sin2t/cos2t

tan2t = (1/4)/(15)^1/2 / 4

tan2t = 1/(15)^1/2

these are the values of given terms.

So, The value of Sin2t is 1/4 and cos2t is (15/16)^1/2  and tan2t is 1/(15)^1/2.

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Answer: 11

In rectangle diagonals are equal and bisect each other.

Therefore,

2×4x=88

8x=88

x=88÷8

x=11

Step-by-step explanation:

Answer:

ps and qr is parellel so the 70°and x is co interior angles.

so, our equation will be look like .

70°+x=180°

x=180°-70°

x=110°

The sides PS and QR are parallel for x = 110°

Option 4 is correct.

The pair of non-adjacent interior angles that are on the same side of the transversal are referred to as consecutive internal angles.The term "consecutive" describes events that take place side by side.

As per the given data:

PQRS is a quadrilateral with sides PS and QR parallel.

∠P = 70°

∠Q = x°

∠S = 112°

For sides PS and QR to be parallel:

∠Q + ∠P = 180° {Co-interior angles on the same side of the transversal}

x° + 70° = 180°

x = 110°

Hence, sides PS and QR are parallel for x = 110°

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