Use the Distributive Property to write an equivalent expression for
x (3x + 2)

If the Woodward Corporation would like to donate 20 computers and 30 printers to local schools. the greatest number of schools that The Woodward Corporation can donate to is: 10 schools.

We need to first of all find the common factors

20 = 1 × 20 = 2 ×10 = 2× 5 ×2

30 = 1 × 30 = 3 × 10

Common factors are 1 and 10.

Highest common factor is 10.

20 / 10 = 2

30 / 10 = 3

Each school will receive 2 computers and 3 printers.

The total number of schools  that will receive them is 10 schools  which is the  highest number of schools that will receive the same set of both computers and printers.

Therefore the  greatest number of schools is 10.

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Answer:

x = 27

Step-by-step explanation:

The sum of the angles of a triangle is 180.

180 = 105 + 48 + x

x = 180 - (105 +48)

x = 180 - 153

x = 27 degrees

The partial derivative diffusivity equation for spherical flow is ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t, and for hemispherical flow, it is the same equation.

1. The partial derivative diffusivity equation for spherical flow is derived from the spherical coordinate system and applies to radial flow in a spherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.

2. The partial derivative diffusivity equation for hemispherical flow is derived from the hemispherical coordinate system and applies to radial flow in a hemispherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.

1. For the derivation of the partial derivative diffusivity equation for spherical flow, we consider a spherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the polar angle (φ). By assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in spherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.

2. Similarly, for the derivation of the partial derivative diffusivity equation for hemispherical flow, we consider a hemispherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the elevation angle (ε). Again, assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in hemispherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.

In both cases, the term ϕμC/k ∂p/∂t represents the source or sink term, where ϕ is the porosity, μ is the fluid viscosity, C is the compressibility, k is the permeability, and ∂p/∂t is the change in pressure over time.

These equations are commonly used in fluid mechanics and petroleum engineering to describe radial flow behavior in spherical and hemispherical geometries, respectively.

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The marginal probability mass functions of X and Y are:

In the given scenario, X and Y are two random variables that are uncorrelated but not independent. The joint probability mass function of X and Y is provided as follows:

P(X = 0, Y = 0) = 0.2

P(X = 0, Y = 1) = 0.1

P(X = 0, Y = 2) = 0.1

P(X = 1, Y = 0) = 0.1

P(X = 1, Y = 1) = 0.2

P(X = 1, Y = 2) = 0.1

To obtain the marginal probability mass functions, we sum the probabilities for each value of X and Y.

For X:

P(X = 0) = 0.2 + 0.1 + 0.1 + 0.1 = 0.5

P(X = 1) = 0.1 + 0.2 + 0.1 + 0.1 = 0.5

Therefore, the marginal probability mass function of X is P(X = 0) = 0.5 and P(X = 1) = 0.5.

For Y:

P(Y = 0) = 0.2 + 0.1 = 0.3

P(Y = 1) = 0.1 + 0.2 + 0.1 = 0.4

P(Y = 2) = 0.1 + 0.1 = 0.2

Hence, the marginal probability mass function of Y is P(Y = 0) = 0.3, P(Y = 1) = 0.4, and P(Y = 2) = 0.2.

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SRRC is a pulse shaping filter used in digital communications to minimize intersymbol interference and improve the signal-to-noise ratio.

The square root raised cosine (SRRC) is a famous heartbeat molding channel utilized in computerized correspondences, especially in applications like advanced tweak and demodulation. It is intended to limit intersymbol obstruction (ISI) by restricting the data transmission of the sent sign while keeping a consistent envelope.

The SRRC channel is described by a reaction that is like the raised cosine channel, yet with a square root capability applied to the recurrence reaction. This outcomes in a smoother change between the passband and stopband, which assists with decreasing ISI and work on the sign to-clamor proportion.

The SRRC channel is usually utilized in correspondence frameworks that utilization quadrature sufficiency regulation (QAM) or stage shift keying (PSK) tweak plans, as it gives great ghastly control and heartbeat molding properties that are appropriate to these kinds of signs.

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Answer:

0.51 or 51%.

Step-by-step explanation:

If there were 100 students in the school, then  38 have a dog 24 a cat and 11 have both.

So there are 38 - 11 = 27 who only have a dog and 24-11 = 13 who only have a cat.

So total number having a pet = 27+11+13

= 51 students.

So Prob(You will choose a student with a pet) = 51%.

Drawing a Venn diagram would help to answer this and make it  clearer.

Answer: answer above me is correct

The cartesian equation of the curve \(r=2 \hspace{0.1cm} csc \hspace{0.1cm} \theta\) is \(y=2\).

A Cartesian equation is essential in mathematics. It corresponds to a mathematical formula that expresses the connection between elements as a function of their positions on a plane known as Cartesian.

A two-dimensional coordinate scheme called the Cartesian plane employs a horizontal x-axis and an upward y-axis to identify locations in space.

Given that, \(r=2 \hspace{0.1cm} csc \hspace{0.1cm} \theta\).

So, \(csc\hspace{0.1cm}\theta=cosec \hspace{0.1cm}\theta\).

The equation becomes as follows:

\(r=2cosec\hspace{0.1cm} \theta\)

By using the trigonometric equation \(cosec\hspace{0.1cm} \theta=\frac{1}{sin\hspace{0.1cm}\theta}\), we get

\(r= \frac{2}{sin \hspace{0.1cm} \theta}\)

Multiplying both sides by \(sin\hspace{0.1cm}\theta\), we get

\(r \hspace{0.1cm}sin\hspace{0.1cm}\theta =2\hspace{0.1cm}\frac{sin\hspace{0.1cm}\theta}{sin\hspace{0.1cm}\theta}\)

\(rsin\hspace{0.1cm}\theta=2\)

By the parametric equations \(x=rcos\hspace{0.1cm}\theta\) and \(y=rsin\hspace{0.1cm}\theta\), we get

\(y=2\)

It is a horizantal line.

Hence, the cartesian equation of the curve \(r=2 \hspace{0.1cm} csc \hspace{0.1cm} \theta\) is \(y=2\).

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The cartesian equation for the curve is: y = 2 This is a horizontal line passing through the point (0,2).

To find a Cartesian equation for the curve given by the polar equation r = 2 csc(θ), we will convert the polar coordinates (r, θ) into Cartesian coordinates (x, y) using the following relationships:

x = r * cos(θ)
y = r * sin(θ)

Step 1: Express r in terms of θ
r = 2 csc(θ)

Step 2: Since csc(θ) = 1 / sin(θ), rewrite the equation as
r = 2 / sin(θ)

Step 3: Express x and y in terms of r and θ
x = r * cos(θ)
y = r * sin(θ)

Step 4: Substitute r from Step 2 into the y equation
y = (2 / sin(θ)) * sin(θ)

Step 5: Simplify the equation
y = 2

The Cartesian equation for the given polar equation is y = 2, which represents a horizontal line passing through the point (0, 2).

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Step-by-step explanation:

use demos graphing calculator

Answer:

Piper's account balance after 7 years = 734.62+133.70084=868.32084 dollars

Step-by-step explanation:

first see te interest :

A=prt   (p is the deposited amount, r is the rate ,  t is the time)

A=734.62 *(2.6/100)* 7

A=133.70084

Piper's account balance after 7 years = 734.62+133.70084=868.32084 dollars

Answer:

$868.32

Step-by-step explanation:

First you need to multiply 734.62 by 2.6%.

734.62 x 0.026 = 19.1

Then we need to multiply that by 7 (because 7 years).

19.1 x 7 = 133.7

Then add that to the initial deposit.

734.62 + 133.7 = 868.32

So after 7 years in a savings account your $734.62 would become $868.32.

Answer:

Stefan spent 108.9$ and made 12.1$

Step-by-step explanation:

Hey I'm Aiden I can help you, I will take Brainlest, Your welcome :)

take 10% of 121 and subtract it from 121 and you get the price he paid and made

The value of M is 4.

The value of M represents the length of the segment that connects the midpoints of the non-parallel sides of trapezoid ABCD. To find the value of M, we can use the fact that the trapezoids are similar.

Now, let's label the points where MN intersects sides BC and FG as P and Q, respectively. We can use the fact that MN is parallel to sides BC and FG to show that triangles BMP and FQN are similar to trapezoids ABCD and EFGH, respectively.

Therefore, we can write:

BM/AB = MP/CD = k

and

FQ/EF = QN/GH = k

Since we know that AB/EF = k, we can substitute this into the first equation to get:

BM/EF = MP/GH

Similarly, we can substitute FQ/EF = k into the second equation to get:

FQ/EF = QN/GH

Now, let's combine these two equations to get:

(BM + FQ)/EF = (MP + QN)/GH

But we know that BM + FQ = EF, and MP + QN = GH. Therefore, we can simplify the equation to get:

EF/EF = GH/GH

Or simply:

1 = 1

This means that our calculations are correct, and that we can use the ratio k to find the value of M. Specifically, since MN is parallel to AB and CD, we know that the length of MN is equal to half the difference between the lengths of AB and CD. Therefore, we can write:

M = (1/2)(AB - CD)/k

When we apply the values on it, then we get,

M = (1/2) (56 - 48) / 1

M = (1/2) x 8 = 4

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Answer:

11

Step-by-step explanation:

7 + z / 6 = ?

7 + 24 / 6

24 / 6 = 4

7 + 4 = 11

Answer:

11

Step-by-step explanation:

The first thing you're going to do is replace z with 24 and divide it by 6, which equals 4. Then you're going to add 7, which gets you to the answer 11.

The set A is finite.

Set A is finite because it consists of positive integers greater than 50 but less than 250. This implies that there is a finite number of elements in the set, as the range of values is limited. A set is considered finite when it has a specific and countable number of elements. In this case, set A has a well-defined starting point (51) and an ending point (249), allowing us to determine its cardinality. Therefore, the set A is finite.

In summary, the given set A, which consists of positive integers greater than 50 but less than 250, is finite. This is because it has a limited range of values and a well-defined starting and ending point, allowing us to count its elements. To delve deeper into the concepts of finite and infinite sets, one can explore the set theory, which deals with the properties and relationships between sets. Additionally, studying number theory can provide insights into different types of numbers, including finite and infinite sets of integers. Understanding the nature of finite and infinite sets is fundamental in mathematics and has wide-ranging applications in various fields.

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R

Set A is finite, set B is finite, set O is infinite, and set E is infinite.

In the given scenario, the sets A and B are both finite, while the sets O and E are infinite. Set A is defined as the set of positive integers greater than 50, and since there is a finite number of positive integers in this range, set A is finite.

Similarly, set B is defined as the set of negative integers less than 250, which also has a finite number of elements.

On the other hand, set O consists of all odd integers, and since the set of odd integers extends infinitely in both positive and negative directions, set O is infinite.

Likewise, set E, which comprises all even integers, is also infinite because the set of even integers extends infinitely in both directions.

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Answer:

12) A

the values are each devided by three then multiplied by 4

13) C

values are 4 times as big as in the right figure

14) and 15) two thirds of the value in the left figure. the rotation is just to disorient you a lil :D just keep the 90° angle as a reference point

x is option A

and y is option C

The major assumption in factor analysis (but not PCA) is that the observed variables are caused by a smaller number of underlying, unobserved (latent) variables, which are called factors.

Factor analysis and principal component analysis (PCA) are both techniques used for data reduction and dimensionality reduction. However, they differ in their assumptions and goals.

In factor analysis, the focus is on identifying the underlying latent variables (called factors) that explain the observed correlations among a set of variables. The major assumption in factor analysis is that the observed variables are caused by a smaller number of underlying factors. These factors cannot be directly measured, but are inferred from patterns of correlations among the observed variables. The goal of factor analysis is to extract these factors and to estimate how much each factor contributes to each observed variable.

In contrast, PCA is a technique that focuses on finding a linear combination of the original variables that explain the maximum amount of variance in the data. The major assumption in PCA is that the observed variables are not caused by any underlying factors, but are simply linearly related to each other. The goal of PCA is to find a set of orthogonal (uncorrelated) principal components that capture the maximum amount of variance in the data.

Therefore, the major assumption in factor analysis (but not PCA) is that there are underlying latent variables (factors) that cause the observed correlations among the variables.

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Answer:

I guess so? Blue. Grey. Tan. Green. 4. 8. Are you smart?

Answer:

2

Step-by-step explanation:

3p + q = 8 and

3p - q = 10

then p+q is?​

--------

add up side-by-side:

6p=18 ⇒ p=3

q=8-3p= 8 - 9= -1

p+q= 3-1=2

Answer:

2

Step-by-step explanation:

3p + q = 8

3p - q = 10

→ Minus the two equations away from each other which would cancel out 3p

2q = -2

→ Divide both sides by 2 to isolate q

q = -1

→ Substitute q = -1 back into 3p + q = 8

3p - 1 = 8

→ Add 1 to both sides to isolate p

3p = 9

→ Divide both sides by 3 to isolate p

p = 3

⇒ The question asks us to find p + q so,

3 + - 1

→ Remember the minus cancels out the plus

3 - 1 = 2

The solution to the system of equations is (-5, 3)

From the question, we have the following parameters that can be used in our computation:

The graph

The solution to the system of equations is the point of intersection of the lines

From the graph, we have the point of intersection to be

(x, y) = (-5, 3)

Hence, the solution to the system of equations is (-5, 3)

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Answer:

Step-by-step explanation:

A= -2

Step-by-step explanation:

B=45

Step-by-step explanation:

please see it my steps to work this problem

The limit of the ratio test for the series ∑[infinity] to n=1 10^n÷n! is infinity (∞).

The ratio test is used to determine the convergence or divergence of a series. It involves taking the limit of the absolute value of ratio of consecutive terms. If the limit is less than 1, the series converges. If the limit is greater than 1 or infinity (∞), the series diverges. If the limit is exactly 1, the test will be inconclusive.

In this case, we have f(n) = ∣(10^n+1)÷(10^n)∣ = ∣10∣ = 10. The limit of f(n) as n approaches infinity is 10.

Since the limit of f(n) is greater than 1, the series fails the ratio test. This means that the series ∑[infinity] to n=1 10^n÷n! diverges. The ratio test suggests that the series does not have a finite sum and continues indefinitely.

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Answer:

7,147.8

Step-by-step explanation:

i used a calculator

Answer:

X = -25

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

On a coordinate plane, parallel lines have the same slope as geometric figures are true. Thus option B is correct.

Marks, splines, spheres, and curved are used to build enclosed geometric shapes. We can see these shapes all around us. Illustrations of geometric shapes include circles, rectangles, triangles, and others. Any configuration of points, columns, or angles is a geometry figure.

A point is the most fundamental algebraic concept because it has no boundaries. Simply put, a point upon that plane is a location. A dot is used to symbolize it. A plane can be identified by three non-straight-line points.

As two or much more vectors seldom cross each other and are located on the same dimension, these are said to be parallel. The slope of these lines is constant. Coplanar lines that seem to be parallel are the ones that don't cross. Therefore, option B is the correct option.

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Answer:

12 or 14...

Step-by-step explanation:

I wouldn't really trust me but...

ALWAYS follow PEMDAS

3x2=6

1/4=1

New equation= -2(6+1^2)

6+1=7^2=14

now this part confused me -2(14)

Anybody else wanna solve that? lol

Answer:

d ≈ 7.07 units

Step-by-step explanation:

calculate the distance d using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = (- 6, 8 ) and (x₂, y₂ ) = (1, 7 )

d = \(\sqrt{((1-(-6))^2+(7-8)^2}\)

  = \(\sqrt{(1+6)^2+(-1)^2}\)

  = \(\sqrt{7^2+1}\)

  = \(\sqrt{49+1}\)

  = \(\sqrt{50}\)

  ≈ 7.07 units ( to 2 decimal places )