Which ordered pairs are solution(s) of y > 4x – 9? Select all that apply.

a) (-1,3)
b) (0,-9)
c) (1,0)
d) (2,1)

The function takes a vector called "data" and a midpoint "m" as inputs and centers the data around the midpoint. It ensures that the midpoint becomes the new zero or center point of the data.

To center the data around the midpoint, we need to calculate the difference between each element of the data vector and the midpoint. This can be done by subtracting the midpoint from each element in the data vector. By doing so, the midpoint becomes the new zero or center point of the data.

Here is an example implementation of the function in Python:

def center_data(data, m):

   centered_data = [x - m for x in data]

   return centered_data

In this function, we iterate over each element in the data vector and subtract the midpoint "m" from it. The result is stored in a new vector called "centered_data" which represents the centered version of the original data vector. This ensures that the midpoint becomes the new zero or center point of the data. The centered_data vector can be further used for analysis or visualization purposes.

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One of the main goals of making a frequency distribution for quantitative data is to summarize the data in a way that properly depicts data as a whole.

A frequency distribution is a representation of the number of times each value or range of values appears in a set of data. By constructing a frequency distribution, we can get a better understanding of the distribution of values and the overall pattern of the data. This information can help us identify any outliers, the center or average of the data, and the spread or variability of the data.

Additionally, a frequency distribution allows us to compare different sets of data and make informed decisions based on the information presented. For example, if we compare the frequency distributions of two groups, we can determine if there are any significant differences between the two groups. This can be useful in various fields such as market research, psychology, and medicine.

In summary, the goal of constructing a frequency distribution is to summarize the information contained within the data and gain a better understanding of the distribution of values. This information can be used to make informed decisions and compare different sets of data.

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Answer:

Some spacecraft have instruments capable of capturing radio emissions. When scientists convert these to sound waves, the results are eerie sounds

Step-by-step explanation:

RIP KING VON

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The answer is (a) (30, 50). To find the 98% confidence limits,

We can use the formula:

\(98% confidence limits = sample mean ± (Z-score for 98% confidence level) * (standard error)\)

We don't know the sample mean or the standard error, but we do know the 90% confidence limits. We can use these to estimate the standard error:

Standard error = (90% confidence limits upper bound - 90% confidence limits lower bound) / (1.645 * 2)

Standard error = (47 - 33) / (1.645 * 2) = 4.73

Now we can use this to estimate the 98% confidence limits:

98% confidence limits = sample mean ± (2.33) * (4.73)

We know that the range of the 90% confidence limits is 14 (47 - 33). The range of the 98% confidence limits will be wider than this, so we can eliminate options b), c), and e).

Now we just need to check which of the remaining options gives us a range wider than 14. We can do this by subtracting the lower limit from the upper limit:

a) (30, 50) -> range = 20
d) (38, 45) -> range = 7

Therefore, the answer is (a) (30, 50).

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The evaluation of √√x² + y² ds along the curve r(t) = (4cos(t))i + (4sin(t))j + 3tk, -2π ≤ t ≤ 2π is 64π√2.

To evaluate √√x² + y² ds along the given curve r(t) = (4cos(t))i + (4sin(t))j + 3tk, we first need to find the differential ds.

The differential ds is given by:
ds = |r'(t)| dt

Taking the derivative of r(t), we have:
r'(t) = -4sin(t)i + 4cos(t)j + 3k

|r'(t)| = √((-4sin(t))² + (4cos(t))² + 3²) = √(16 + 16) = √32 = 4√2

Now, we can evaluate √√x² + y² ds along the curve by integrating:
∫√√x² + y² ds = ∫√√(4cos(t))² + (4sin(t))² (4√2) dt
= ∫√√16cos²(t) + 16sin²(t) (4√2) dt
= ∫√√16(1) (4√2) dt
= ∫4(4√2) dt
= 16√2t + C

Evaluating the integral over the given range -2π ≤ t ≤ 2π:
(16√2(2π) + C) - (16√2(-2π) + C) = 32π√2 - (-32π√2) = 64π√2

Therefore, √√x² + y² ds along the curve r(t) = (4cos(t))i + (4sin(t))j + 3tk, -2π ≤ t ≤ 2π evaluates to 64π√2.

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the complete table is:

zeros: x = -2, x = 0, x = 2.

Increasing: (-∞, -1.25) and (1.25, ∞)

Decreasing: (-1.25, 1.25)

End Behavior:   as x →∞, y →∞

                         as x → -∞, y→ -∞

Let's solve for the first function.

First, we want to find the zeros of the function. The zeros are the values of x such that the function becomes zero (intercepts the horizontal axis)

So we can see that the zeros are:

x = -2, x = 0, x = 2.

Now we want to see when the function is increasing. The function is increasing when it goes (reading from left to right) the function goes upwards.

The function is increasing on the intervals:

(-∞, -1.25) and (1.25, ∞)

And the function is decreasing between these two intervals:

(-1.25, 1.25)

Now we need to look at the end behavior.

When x tends to infinity, (right side) we can see that the function goes upwards, then:

as x →∞, y →∞

In the left side the function goes downwards, so:

as x → -∞, y→ -∞

Then the complete table is:

zeros: x = -2, x = 0, x = 2.

Increasing: (-∞, -1.25) and (1.25, ∞)

Decreasing: (-1.25, 1.25)

End Behavior:   as x →∞, y →∞

                         as x → -∞, y→ -∞

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The time required by the bacteria to reach 15000 is :

log(2)/log(1.5) = t

Given:

P(t) = P0·bt

P(t) = bacteria population at time t

P0 = starting bacteria population = 10,000

b = growth rate

t = days

we are asked to find out after how many hours will the bacteria population reach 15000 = ?

P(t) = P0·bt

At t = 1 day, P(t=1) = 15,000:

15,000 = 10,000·b1

15,000/10,000 = b

1.5 = b

P(t) = 10,000·1.5t

Population doubles when P(t) = 20,000:

20,000 = 10,000·1.5t

2 = 1.5t

log(2) = log(1.5t)

log(2) = t·log(1.5)    [Log property: log(ab) = b·log(a)]

log(2)/log(1.5) = t

Hence we get the required answer.

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Answer:

1.

B swap the order of equation

2. yes, they are equivalent and yes, they give same solution

Step-by-step explanation:

Answer

-10,-7,0,98,145

Step-by-step explanation:

Integers are whole numbers negative or positive.

Hope that helped :)

the 15 different ways can he select the days on which to have pizza

What is combination?

A combination is a choice made in mathematics from a group of different elements when the order of the choices is irrelevant (unlike permutations). For instance, if three fruits, such as an apple, an orange, and a pear, are supplied, there are three possible pairings of the two: an apple and a pear. Formally speaking, a k-combination of a set S is a subset of S's k unique components. In other words, two combinations are the same if and only if they have the same members. (It is not important how the individuals in each set are arranged.) The quantity of k-combinations for a set with n components

Arturo can have pizza for dinner on any two of the next six days.

he select the days on which to have pizza

So the number of ways c(6 2)

= \(\frac{6!}{4!2!}\)

=\(\frac{30}{2}\)

=15 ways

Hence the 15 different ways can he select the days on which to have pizza.

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Answer:

\(x=\dfrac{-1 +\sqrt{2}\:i }{3}, \quad x=\dfrac{-1 -\sqrt{2}\:i }{3}\)

Step-by-step explanation:

Quadratic Formula

\(x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0\)

Given quadratic equation:

\(3x^2+2x+1=0\)

Therefore:

Substitute the values of a, b and c into the quadratic formula and solve for x:

\(\implies x=\dfrac{-2 \pm \sqrt{2^2-4(3)(1)} }{2(3)}\)

\(\implies x=\dfrac{-2 \pm \sqrt{4-12} }{6}\)

\(\implies x=\dfrac{-2 \pm \sqrt{-8} }{6}\)

\(\implies x=\dfrac{-2 \pm \sqrt{4\cdot2\cdot-1} }{6}\)

\(\implies x=\dfrac{-2 \pm \sqrt{4}\sqrt{2}\sqrt{-1} }{6}\)

\(\implies x=\dfrac{-2 \pm 2\sqrt{2}\:i }{6}\)

\(\implies x=\dfrac{-1 \pm \sqrt{2}\:i }{3}\)

Imaginary Number Rule

\(\boxed{\sqrt{-1}=i}\)

Answer:

(-4, -1)

Step-by-step explanation:

3 up would be (-4, 1)

reflection over the x-axis means the y coordinate is opposite so it is (-4, -1)

A plane intersects one nappe of a double-napped cone such that the plane is not perpendicular to the axis and is not parallel to the generating line. The conic section formed in this case is a hyperbola.

A plane intersects one nappe of a double-napped cone such that it is perpendicular to the vertical axis of the cone and does not contain the vertex of the cone. The conic section formed in this case is a parabola.

The intersection that forms a hyperbola is when a plane intersects only one nappe of a double-napped cone, and the plane is not parallel to the generating line of the cone.

A plane intersects a double-napped cone such that the plane intersects both nappes through the cone's vertex. The degenerate conic section formed in this case is a pair of intersecting lines.

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Ravneet should collect a representative sample to ensure the findings can be generalized to the population of newlyweds.

Ravneet should ensure that the sample he collects is representative. This means that the sample should accurately reflect the characteristics and diversity of the population of newlyweds. To achieve this, Ravneet can employ various sampling techniques such as random sampling or stratified sampling to ensure that every member of the population has an equal chance of being included in the study. By using a representative sample, Ravneet can generalize the findings of the study to the larger population of newlyweds with greater confidence.

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Answer:

the answer to the questionis d

Weathering of rocks is a slow process. This can be of three types. physical , chemical and biological weathering. All are slow process.

The term Weathering is a process that acts with erosion to help shape Earth's surface. weathering is the process that creates the particles. Weathering is when nature breaks rocks and soil down into smaller particles or changes the actual composition of the landscape. Weathering can be physical, chemical or biological. physical weathering is when water seeps into the cracks of rocks, freezes into ice and then expands forcing the rock to break. chemical weathering is when acid rain dissolves underground rock causing it to collapse and make a hole in Earth's surface. biological weathering would be an animal digging a burrow causing an increase in pressure and nearby rock to break.

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Answer:

3/14

Step-by-step explanation:

They traveled 5/7 of the distance on Saturday and 1/2 of the remaining

distance, 3/7, on Sunday so..

(1/2)(3/7) = 3/14

Hope this helps :)

Answer:Lupe's family traveled 5/7 of the total distance to her aunt's house on Saturday, so the remaining distance was 1 - (5/7) = 2/7.

On Sunday, they traveled 1/2 of the remaining distance, which was 2/7, so the total distance traveled on Sunday was 1/2 * 2/7 = 2/14 of the total distance.

Step-by-step explanation:

Lupe's family traveled 5/7 of the total distance to her aunt's house on Saturday, so the remaining distance was 1 - (5/7) = 2/7.

On Sunday, they traveled 1/2 of the remaining distance, which was 2/7, so the total distance traveled on Sunday was 1/2 * 2/7 = 2/14 of the total distance. :D

Answer:

P=61°

Step-by-step explanation:

P²=C²+ U²–2 C U cos P

189²= 215²+123²– 2×215×123×cos p

P= 61°

I hope I helped you^_^

The function The output is one more than twice the input x" is f(x) = 2x + 1.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

The given statement is "The output is one more than twice the input x"

Therefore, If 'x' is the input then the output is 2x + 1.

So, The function can be written as f(x) = 2x + 1.

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Answer:

\(\frac{17}{76}\)

Step-by-step explanation:

expressing the ratio in fractional form

\(\frac{11\frac{1}{3} }{50\frac{2}{3} }\) ← change mixed number to improper fractions

= \(\frac{\frac{34}{3} }{\frac{152}{3} }\) ( multiply numerator and denominator by 3 )

= \(\frac{34}{152}\) ( divide numerator and denominator by 2 )

= \(\frac{17}{76}\) ← in simplest form

Answer:

D

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Since,

it given that

x = -3

y = 4

and the equation is:

2x + y = ?

Thus we can substitute:

2(-3) + 4 = ?

-6 + 4 = -2

Hence,

? = -2

Kavinsky

The general solution is \(y = c1e^{(2t)} + c2e^{(9t)} + c3\), and the specific solution that satisfies the initial conditions is\(y = (1/5)e^{(2t)} + (2/45)e^{(9t)} + 34/9\).

The given differential equation is a third-order homogeneous linear equation with constant coefficients. We can find the solution by assuming a solution of the form \(y=e^{(rt)}\), where r is a constant. Then, we can substitute this form of y into the differential equation and solve for r.

y‴−11y″+18y′=0

\(r^{3e}^{(rt)} - 11r^{2e}^{(rt)} + 18re^{(rt)} = 0\)

\(r(r^2 - 11r + 18)e^{(rt)} = 0\)

The roots of the characteristic equation \(r^2 - 11r + 18 = 0\) are r=2 and r=9. Therefore, the general solution to the differential equation is\(y = c1e^{(2t)} + c2e^{(9t)} + c3\) , where c1, c2, and c3 are arbitrary constants that can be determined from the initial conditions.

Using the initial conditions y(0) = 7, y'(0) = 1, and y''(0) = 1, we can solve for the constants.

y(0) = c1 + c2 + c3 = 7

y'(0) = 2c1 + 9c2 = 1

y''(0) = 4c1 + 81c2 = 1

Solving the system of equations, we get c1 = 1/5, c2 = 2/45, and c3 = 34/9.

Therefore, the solution to the differential equation is:

\(y = (1/5)e^{(2t)} + (2/45)e^{(9t)} + 34/9.\)

In summary, we solved the given third-order homogeneous linear differential equation with constant coefficients by assuming a solution of the form y=e^(rt) and using the initial conditions to find the constants.

The general solution is \(y = c1e^{(2t)} + c2e^{(9t)} + c3\), and the specific solution that satisfies the initial conditions is \(y = (1/5)e^{(2t)} + (2/45)e^{(9t)} + 34/9.\).

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The property tax on a house with a market value of $170,000 is $2,959.09.

Property tax is a tax levied on the assessed value of property owned by an individual or a corporation.

Assessment rate = 46%

Tax rate = $37.84 per $1,000

Market value of house = $170,000

Assessed value = $78,200 ($170,000 x 46%)

Property tax = $2,959.09 ($78,200 x $37.84/$1,000)

Thus, the property tax on a house with a market value of $170,000 is $2,959.09.

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Check the picture below.

so, let's get the volume of the prism.

then let's get the volume of the smaller cube.

then let's see how many times the volume of the cube goes into the prism's volume, so in short a division.

\(\stackrel{\textit{prism's volume}}{\left( \frac{5}{2} \right)(2)(1)\implies 5~cm^3}~\hfill \stackrel{\textit{cube's volume}}{\left( \frac{1}{2} \right)\left( \frac{1}{2} \right)\left( \frac{1}{2} \right)\implies \frac{1}{8}~cm^3} \\\\[-0.35em] ~\dotfill\\\\ 5\div \cfrac{1}{8}\implies \cfrac{5}{1}\div \cfrac{1}{8}\implies \cfrac{5}{1}\cdot \cfrac{8}{1}\implies 40~~cubes\)

Answer:

Step-by-step explanation:

14+24i-26+3i+110+100i

A-98+137i