Which set of ordered pairs represents y as a function of x?
PLEASE HELP 15 POINTS OR BRAINLIEST

The answer is "false". The interval [1, 2] contains all the real numbers between 1 and 2 including the endpoints.

An interval notation is used for representing the continuous set of real values. This is the shortest way of writing inequalities.

Intervals are represented within the brackets such as square brackets or open brackets(parenthesis).

The given interval is [1, 2]

The given statement is - 'the interval [1, 2] contains exactly two numbers - the numbers 1 and 2'

The given statement is 'false'.

This is beacuse, an interval consists set of all the real values in between the two values given.

So, according to the definition, there are not only the end values but also many real values in between them.

Thus, the answer is "false". The interval [1, 2] consists of all the real values between 1 and 2 including 1 and 2.

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Answer:

x - 40 degree... I am sure

D < 0, the equation has no real solutions for m. Therefore, AP/PB cannot be determined.

To solve this problem, we need to use the concept of section formula. The coordinates of the point which divides the line segment joining two points (x1, y1) and (x2, y2) in the ratio m:n are given by:

x = (nx2 + mx1)/(m + n) and y = (ny2 + my1)/(m + n)

Using this formula, we can find the coordinates of point P:

x = (-2*12 + (-9)*m)/(m + n)
y = (4*8 + 2*n)/(m + n)

We know that P divides AB in the ratio m:n, so we can write:

AP/PB = m/n

Let's substitute the coordinates of A, B, and P in the above equation and simplify:

sqrt[(x+9)^2 + (y-2)^2]/sqrt[(12-x)^2 + (8-y)^2] = m/n

Substituting the values of x and y in terms of m and n, we get:

sqrt[(2n-4)^2 + (m+11)^2]/sqrt[(12+2m)^2 + (8-4n)^2] = m/n

To solve for AP/PB, we need to isolate it on one side of the equation. Let's square both sides and simplify:

[(2n-4)^2 + (m+11)^2]/[(12+2m)^2 + (8-4n)^2] = m^2/n^2

Cross-multiplying and simplifying, we get:

n^2(2n-4)^2 + n^2(m+11)^2 = m^2(12+2m)^2 + m^2(8-4n)^2

Expanding and rearranging, we get:

(5m^2 - 40mn + 4n^2 + 425)(m^2 + 4mn - 20n^2 - 84) = 0

We can ignore the second factor since it has no real solutions. Therefore, we need to solve the first factor:

5m^2 - 40mn + 4n^2 + 425 = 0

This is a quadratic equation in m with discriminant:

D = (-40n)^2 - 4*5*(4n^2 + 425) = -15n^2 - 6800

Since this is not possible (n cannot be 0), there is no valid ratio for AP : PB that satisfies the given conditions.

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The area of the shaded rectangle is 18 square units.

The shaded region is the framed rectangle, and the white part is the frame.

We know that the frame is 2 units wide, and the measure of the rectangle and the frame are:

Now, if we remove the frame, we will remove 2*2 units = 4 units for each measure (because for each measure we have the frame in both sides).

So the measures for the shaded rectangle are:

And the area of a rectangle is given by the product between the width and length, then we have:

A = (3 units)*(6 units) = 18 square units.

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The derivative of f(x) = cos(x² - x) is \(3(2x - 1)cos(x^{2} - x)sin(x^{2} - x).\)

To find the derivative of the function f(x) = cos(x² - x), we can use the chain rule.

The chain rule states that if we have a composite function, such as cos(g(x)), the derivative of this composite function is given by the derivative of the outer function multiplied by the derivative of the inner function.

In this case, the outer function is cos(u), where u = x² - x, and the inner function is u = x² - x.

The derivative of the outer function cos(u) is -sin(u).

To find the derivative of the inner function u = x² - x, we apply the power rule and the constant rule. The power rule states that the derivative of x^n, where n is a constant, is nx^(n-1), and the constant rule states that the derivative of a constant times a function is equal to the constant times the derivative of the function.

Applying the power rule and the constant rule, we find that the derivative of u = x² - x is du/dx = 2x - 1.

Now, using the chain rule, the derivative of f(x) = cos(x² - x) is given by:

df/dx = \(-sin(x^{2} - x) * (2x - 1)\)

Simplifying, we have:

df/dx = -\(2xsin(xx^{2} - x) + sin(x^{2} - x)\)

Therefore, the correct answer is option a. 3(2x-1)cos(x²-x)sin(x²-x).

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well, we know the circle passes through (0 , 3/2) so the distance from the center and that point is its radius, so

\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{0}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{\frac{3}{2}})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{radius}{r}= \sqrt{(~~ 0- 0 ~~)^2 + (~~ \frac{3}{2}- (-8) ~~)^2} \implies r= \sqrt{0 + (~~ \frac{3}{2} +8 ~~)^2} \\\\\\ r=\sqrt{\left( \frac{19}{2} \right)^2}\implies r=\cfrac{19}{2} \\\\[-0.35em] ~\dotfill\)

\(\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{0}{h}~~,~~\underset{-8}{k})}\qquad \stackrel{radius}{\underset{\frac{19}{2}}{r}} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ x - 0 ~~ )^2 ~~ + ~~ ( ~~ y-(-8) ~~ )^2~~ = ~~\left( \cfrac{19}{2} \right)^2\implies x^2+(y+8)^2~~ = ~~\cfrac{361}{4}\)

Answer:

m∠CFB   m∠CAB   m∠EAD  m ∠CAB + m∠EAD

45°              19.93°               70.07°                     90°

50°              29.91°              70.09°                    100°

60°              49.92°             70.08°                    120°

75°              79.92°             70.08°                    150°

m∠CFB  BF  CF     DF  EF  BF + DF  CF + EF   BF × DF    CF × EF

45°     2.69 2.74    9.09     8.91    11.78    11.65    24.45     24.41

50°      3.7 3.63   8.07     8.23    11.77    11.86    29.86     29.87

60°      5.35 4.72    6.42     7.28    11.77    12.00    34.35     34.36

75°     7.3   5    4.47     6.52    11.77    11.52    32.63     32.6

Step-by-step explanation:

edmentum

Answer:

PLATO

Step-by-step explanation:

The median price from the given data is 648,303.

To find the median price from the given data, we need to arrange the prices in ascending order and then locate the middle value. If there is an odd number of data points, the median will be the middle value. If there is an even number of data points, the median will be the average of the two middle values.

Let's arrange the data in ascending order:

181,386,243,922,355,008,406,791,542,820,648,303,782,200,845,053,924,494,1,089,774,1,175,704,1,274,928,1,308,954

There are a total of 13 data points, which is an odd number. So, the median price is the middle value.

The middle value is the 7th value:

Median Price = 648,303

Therefore, the median price from the given data is 648,303.

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Answer:

Arithmetic

Step-by-step explanation:

An arithmetic progression is characterised by the first term (a), number of terms (n) and common difference (d).

Answer: She will need 1239 cm^3 of foil

Explanation:

Surface area of square pyramid = base area of square + area of 4 triangular faces

Area of square base = l^2

where

l is the length of each side of the square base

From the information given,

l = 8

Area of square base = 8^2 = 64

Area of each triangular face = 1/2 x base x height

We would find the height of each face by applying Pythagorean theorem to the right triangle formed below. It is ex[ressed as

hypotenuse^2 = one leg^2 + other leg^2

hypotenuse = 10

one leg = 4

other leg = h

4^2 + h^2 = 10^2

36 + h^2 = 100

h^2 = 100 - 36 = 64

h = √64

h = 8

base = 8

Area of 4 triangular faces 4 x 1/2 x 8 x 8 = 128

Surface area of square base pyramid = 128 + 64 = 192 in^2

We would convert 192 in^2 cm^2

Recall,

1 inch^2 = 6,4516 cm^2

192 inch^2 = 192 x 6.4516

= 1239 cm^2

She will need 1239 cm^3 of foil

The value of ε is thus bounded by the maximum value of \(f^(6)(c)\) in this range.

The given function is \(e^(-2x)\). We can write this in Taylor Polynomial of degree 6 as

\(f(x) = 1 - 2x + 2x^2 - (2^2/2!)x^3 + (2^3/3!)x^4 - (2^4/4!)x^5 + (2^5/5!)x^6 + ε\)

The coefficients of this Taylor Polynomial are 1, -2, 2, -4/2, 8/6, -16/24, 32/120 respectively.

The error in this case is given by ε which is the remainder in the Taylor Polynomial. This is calculated as the value of the n+1th derivative of the function at the point of expansion. We expand the Taylor Polynomial at a=0, so the error ε is given by

\(ε = (2^6/6!)f^(6)(c)\)

for some c between 0 and x. The value of ε is thus bounded by the maximum value of \(f^(6)(c)\) in this range.

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Step-by-step explanation:

Probably a cylinder would work best

volume of a cylinder = pi r^2 h

Answer:

y

Step-by-step explanation:

Answer:

10x+5

Step-by-step explanation:

You add or subtract 5x by -25x by 30x to get 10x. However, then you add 6-5+4 which is 5.

Answer:

5\(x^{4}\) (x - 3)(x - 2)

Step-by-step explanation:

5\(x^{6}\) - 25\(x^{5}\) + 30\(x^{4}\) ← factor out 5\(x^{4}\) from each term

= 5\(x^{4}\) (x² - 5x + 6) ← factor the quadratic

Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (- 5)

The factors are - 3 and - 2 , then

x² - 5x + 6 = (x - 3)(x - 2)

Then

5\(x^{6}\) - 25\(x^{5}\) + 30\(x^{4}\) = 5\(x^{4}\) (x - 3)(x - 2) ← in factored form

Answer:

A.

\( SA= \frac{2}{3} \pi rl+16 \pi r^2\)

Step-by-step explanation:

Surface area of the original cone

\( SA= \pi r l + \pi r^2... (1)\)

When, radius is quadrupled and slant height is reduced to one sixth

\( i. e. \: \:r = 4r\: \: \&\:\: l= \frac{1}{6}l\)

Plug the above values of r and \( l\) in equation (1), new surface area becomes:

\( SA= \pi (4r)\times \frac{1}{6} l+ \pi (4r)^2\)

\( SA= \frac{4}{6} \pi rl+16 \pi r^2\)

\(\huge \purple {\boxed {SA= \frac{2}{3} \pi rl+16 \pi r^2}} \)

Answer:

x - 2y + 1 = 0

Step-by-step explanation:

Given

y - 2 = \(\frac{1}{2}\) (x - 3) ← multiply through by 2 to clear the fraction

2y - 4 = x - 3 ( subtract 2y from both sides )

- 4 = x - 2y - 3 ( add 4 to both sides )

0 = x - 2y + 1, that is

x - 2y + 1 = 0 ← in general form

Answer: 2.8%

Step-by-step explanation: 1/6 * 1.6 = 1/36   1/36 = 0.0277 = 2.8%

Answer: mixed fraction 4 1/2   improper fraction 9/2  decimal 4.5

Step-by-step explanation:

To sketch the straight-line Bode plot of the gain only for the voltage transfer function T(S) = 20s/ S2 + 58s + 400, we first need to break it down into its constituent parts. The numerator is simply a constant gain of 20, while the denominator can be factored into two second-order terms:

T(S) = 20s/ (S+20)(S+20)

Using the standard Bode plot rules for second-order systems, we can plot each term separately and then combine them to get the overall plot. For each term, we need to find the resonant frequency, damping ratio, and gain at low and high frequencies.

For the first term (S+20), the resonant frequency is 20, the damping ratio is 1/2, and the low-frequency gain is 0 dB. At high frequencies, the gain rolls off at a rate of -20 dB/decade.

For the second term (S+20), the resonant frequency is also 20, the damping ratio is 1/2, and the low-frequency gain is 0 dB. However, at high frequencies, the gain rolls off at a rate of -40 dB/decade due to the double pole.

To combine these two plots, we simply add the gains at each frequency and use the steeper roll-off rate for the second term. The result is a straight-line Bode plot with a gain of 20 dB at low frequencies, a resonant peak at 20 rad/s, and a steep roll-off at high frequencies.

The plot will cross the 0 dB line at two points, one before and one after the resonant peak, due to the double pole in the transfer function.

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Answer:

-30

Step-by-step explanation:

it just is

The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.

Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.

The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.

To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.

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Answer:

1,723,176

Step-by-step explanation:

By plugging this into a calculator, you will receive 1,723,176.

Answer: 234 x 7364 = 1,723,176

Average rate of change is calculated using the slope of the line linking the interval's ends on the graph of the function. The average rate of change, in simplest form, is -1/6.

It is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.

The formula for calculating the gradient of a function exists expressed as:

\($m=\frac{d y}{d x}=\frac{y_2-y_1}{x_2-x_1}\)

Using the coordinate points from the table (6, 53) and (24, 50).

Substitute the coordinate into the expression:

\($m=\frac{50-53}{24-6} \\\)

\($&m=\frac{-1}{6} \\\)

Therefore, the average rate of change, in simplest form is -1/6.

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In the case of United States v. Northeastern Pharmaceutical & Chemical Co., the government can seek to recover its costs from various parties involved based on the Resource Conservation and Recovery Act (RCRA) and other statutes.

Firstly, the government can hold NEPACCO liable for the costs of remedial action. As the company responsible for generating the hazardous waste and arranging for its disposal at the farm, NEPACCO can be held accountable for the cleanup costs under RCRA. Even though the company was liquidated and its assets distributed to shareholders, the government can still pursue recovery from the remaining assets or from the shareholders individually.

Secondly, the government can also hold individuals involved, such as Michaels (the founder and major shareholder), Ray (the chemical-plant manager), and Lee (the vice president and shareholder), personally liable for the costs. Their roles in approving and arranging the disposal of hazardous waste may make them individually responsible under environmental laws and regulations. Overall, the government can seek to recover its costs from NEPACCO, as well as from the individuals involved, based on their responsibilities and liabilities under RCRA and other applicable statutes.

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Answer:

y = 3/4x - 8

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

-8x + 25 = -15

                 -25 = -40  then

-40 divide -8 to get 5

Answer: x = 5

The first step of the inverse operation is to subtract 25 on both sides of the equation to cancel out the 25 from the left side:

-8x+25 (-25) = -15 (-25)

-8x = -40

Next, you need to divide -8 on both sides to isolate the variable, which would give you the answer to x. The negatives would cancel out, leaving you with: x = 5

hope that helps :)

Answer:

654,255

Step-by-step explanation:

2935per year × 200 years = 587,000

597,000 + 67,255 = 654,255

On a line chart

years would be x axis

population would be y axix

Form two dots from

(2000, 67,255)

(2200, 654,255)

Connect

Answer:

9.4ft

Step-by-step explanation:

area of a parallelogram =base x height

111.86 = b×11.9

111.86 = 11.9b

divide both sides by 11.9

111.86/11.9= 11.9b/11.9

9.4 = b

b = 9.4ft

Answer :

⠀

Step-by-step explanation:

⠀

Here,

⠀

We know that,

\( {\longrightarrow \qquad{ \boldsymbol{ \pmb{Base \times Height = Area_{(Parallelogram)}}}}}\)

⠀

Now, Substituting the values in the formula :

⠀

\( {\longrightarrow \qquad{ \sf{ {Base \times 11.9 = 111.86}}}}\)

⠀

\( {\longrightarrow \qquad{ \sf{ {Base = \dfrac{111.86}{11.9} }}}}\)

⠀

\({\longrightarrow \qquad{ \pmb { \boldsymbol{Base \: \: { \it= 9.4}}}}}\)

⠀

Therefore,

In summary: Mean (μ): 120, Standard deviation (σ): 6.93, Minimum usual value (μ - 2σ): 106.14 and Maximum usual value (μ + 2σ): 133.86

To find the mean mu μ of the binomial distribution, we use the formula mu = n*p. Therefore, mu = 200*0.6 = 120.

To find the standard deviation sigma σ, we use the formula sigma = sqrt(n*p*(1-p)). Therefore, sigma = sqrt(200*0.6*0.4) = 6.93.

Using the range rule of thumb, we can estimate the minimum usual value by subtracting 2 times the standard deviation from the mean, and the maximum usual value by adding 2 times the standard deviation to the mean. Therefore, the minimum usual value is mu - 2*sigma = 120 - 2*6.93 = 106.14, and the maximum usual value is mu + 2*sigma = 120 + 2*6.93 = 133.86.

So, in summary, the mean mu μ of the binomial distribution is 120, the standard deviation sigma σ is 6.93, the minimum usual value mu minus 2 sigma μ−2σ is 106.14, and the maximum usual value mu plus 2 sigma μ+2σ is 133.86.
For a binomial distribution, the mean (μ) and standard deviation (σ) can be calculated using the formulas:

μ = n * p
σ = √(n * p * (1 - p))

Given n = 200 and p = 0.6, we can find μ and σ:

μ = 200 * 0.6 = 120
σ = √(200 * 0.6 * (1 - 0.6)) = √(200 * 0.6 * 0.4) = √48 ≈ 6.93

Next, we can use the range rule of thumb to find the minimum and maximum usual values:

Minimum usual value (μ - 2σ):
120 - (2 * 6.93) = 120 - 13.86 ≈ 106.14

Maximum usual value (μ + 2σ):
120 + (2 * 6.93) = 120 + 13.86 ≈ 133.86

In summary:
Mean (μ): 120
Standard deviation (σ): 6.93
Minimum usual value (μ - 2σ): 106.14
Maximum usual value (μ + 2σ): 133.86

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Answer:

Y intercept is 8

Step-by-step explanation:

Not sure about the slope sorry