I need help on this,

Answer:

p = 7

Step-by-step explanation:

(x² + px - 3)(3x - 5)

each term in the second factor is multiplied by each term in the first factor, that is

x²(3x - 5) + px(3x - 5) - 3(3x - 5) ← distribute parenthesis

= 3x³ - 5x² + 3px² - 5px - 9x + 15 ← collect like terms

= 3x³ +x²(3p - 5) - x(5p + 9) + 15

given the coefficient of the x- term is - 44 , then

-(5p + 9) = - 44 ← - (5p + 9) is th coefficient of x in the expansion

- 5p - 9 = - 44 ( add 9 to both sides )

- 5p = - 35 ( divide both sides by - 5 )

p = 7

Answer:

The radius is 9.28 inches.

Step-by-step explanation:

Since there are 7 Move Ahead zones, and 3 Go Backwards zones on the spinner, there must be 2 other zones (the Freeze! +Bonus pts)

2 out of 12 zones are Freeze! +Bonus pts. That is 1/6 of the spinner. They said the area of the the Freeze!+Bonus pts is 45.1 inches squared.

45.1 × 6

= 270.6

The entire spinner has the area 270.6

The area of a circle is:

A = pi•r^2

We are looking for r. Thats the radius they asked for in the question.

270.6 = pi•r^2

pi is a number, I'm using the pi button on the calculator bc it is most exact.

270.6 = pi•r^2

Divide both sides by pi.

86.134655 = r^2

square root both sides.

9.28 = r

The radius is 9.28 inches.

The domain of the function is x is a set of positive integers.  

We are given the function; f(x) = 126/x. f(x) is the number of days it would take to complete a project and x is the number of workers

The domain is defined as the set of all possible input values for which the function is defined.

Let's try x = 0 workers.

f(x) = 126/0 ; this is undefined and so x cannot be zero.

Let's try x = 1 worker

f(x) = 126/1 = 126 days

Let's try x = 10 workers

f(x) = 126/10 = 12.6 days

Let's try x = 100 workers

f(x) = 126/100 = 1.26 days

We see that every positive integer is a possible value of x that can make the function defined. Thus, the domain of the function is x is a set of all positive integers.

Learn more about domain on:

brainly.com/question/2052994

#SPJ1

Answer: 2 5/6 I think.

Wait no. I just did the math and it would be 2 1/2

The correct option is option (C) .

Cluster Sampling is a type of probability sampling and other options are non- probability sampling examples .

Sampling :

Sampling is defined as a technique that selects individual members or subsets from a population to help determine characteristics of the population as a whole.

Croach and Housden postulate that a sample is a finite number taken from a large group for testing and analysis, and that the sample can be taken as representative of the group as a whole.

There are two main types of sampling:

i) probability sampling

ii) Non-probability sampling

A) probability sampling:

It is defined as the sampling technique which researchers use a related method to draw probability theory samples from a larger population.

The most important requirement for probabilistic sampling is that everyone in the population has a known equal chance of being selected.

Probability Samples:

1. Stratified Sampling: Stratified sampling is a type of sampling technique that divides the total population into smaller groups or strata to complete the sampling process. Hierarchies are formed based on some common characteristics of demographic data.

2. Cluster Sampling: Cluster sampling is a probabilistic sampling technique in which researchers divide a population into multiple groups (clusters) for research purposes. Researchers then select random groups using simple sampling techniques for data collection and data analysis.

To learn more about Probability sample, refer:

https://brainly.com/question/29313175

#SPJ4

Answer:

y = 2x - 4

Step-by-step explanation:

Slope intercept form should be the easiest because they give you all you need.

y = mx + b

m = 2

b = -4

y = 2x - 4

The statements that are true for functions g(x) = x² and h(x) = -x² are given as follows:

The functions for this problem are defined as follows:

The function h(x) is given by the multiplication of the function g(x) by -1, meaning that it is the reflection over the x-axis of the function g(x).

The two quadratic functions share the same vertex at the origin, meaning that it cannot be affirmed that one function will always be greater than the other for all values of x.

However, considering that the x² function is non-negative in all it's domain, the reflected function -x² will be non-positive at all it's domain, they are equal only at the origin, which is the vertex, all for all remaining non-zero values, g(x) is greater than h(x).

More can be learned about functions at https://brainly.com/question/24808124

#SPJ1

The magnitude of the force that must be applied parallel to the plane is 92 N, under the condition that the box moves up the plane with an acceleration of 2 m/ s².

The force needed to move a box up an inclined plane can be evaluated as
Fp = W sin α = m ag sin α
Here
Fp = pulling force (N),
W = weight of the box (N),
α = angle of incline (degrees),
m = mass of the box (kg),
a = acceleration of the box (m/s²), and
g = acceleration due to gravity (9.8 m/s²).

For the given case, we possess a 25 kg box at rest on a 30 degree incline with a friction force of 50 N acting on it.
Now
We have to evaluate the weight of the box using
W = mg
= 25 kg x 9.8 m/s²
= 245 N.

Then, we have to calculate the force required to overcome friction using Ff = μFn where μ is the coefficient of friction and Fn is the normal force acting on the box. Since the box is at rest on an incline, Fn can be calculated as Fn = W cos α = 245 N cos(30°) ≈ 212 N. Therefore, Ff = μFn = 0.2 x 212 N ≈ 42 N.

Now we can evaluate the force applied to move the box up the incline utilizing
Fp = ma + Ff
Here,
a = desired acceleration
Ff = frictional force acting on the box.
Staging the values
Fp = ma + Ff
Fp = (25 kg)(2 m/s²) + 42 N
Fp ≈ 92 N

Hence, a force of approximately 92 N must be applied parallel to the plane so that the box moves up the plane with an acceleration of 2 m/s².
To learn more about acceleration
https://brainly.com/question/30595126
#SPJ4
The complete question is
A 25 kg box is at rest on a 30 degree incline. If the friction force is 50 N, what is the magnitude of the force that must be applied parallel to the plane so that the box moves up the plane with an acceleration of 2 m/ s²?

Answer:

answer given in step by step...

Step-by-step explanation:

13x+13(x+1)+13(x+2)=312

13x+13x+13+13x+26=312

39x+39=312

39x=312-39

39x=273

x=7

first number=13x=13*7=91

second number=13(8)=104

third number=13(9)=117

The required slopes are:

(a) slope = 4

(b) slope = 6/7

(c) slope =  -3

(d) slope = 4

(e) slope = -5/2

We know that,

When a line passing through (x₁, y₁) and (x₂, y₂)

Then  the slope of the line be,

slope (m) = (y₂ - y₁) / (x₂ - x₁)

Using this formula, calculate the slope for each given points

a. (9, 10) and (7, 2)

⇒ slope (m) = (2 - 10) / (7 - 9)

                    = -8/-2 = 4

So, the slope is 4.

b. (-8, -11) and (-1, -5)

⇒ slope (m) = (-5 - (-11)) / (-1 - (-8))

                    = 6/7

So, the slope is 6/7.

c. (5, -6) and (2, 3)

⇒ slope (m) = (3 - (-6)) / (2 - 5)

                    = 9/-3

                    = -3

So, the slope is -3.

d. (6, 3) and (5, -1)

⇒ slope (m) = (-1 - 3) / (5 - 6)

                    = -4/-1

                    = 4

So, the slope is 4.

e. (4, 7) and (6, 2)

⇒ slope (m) = (2 - 7) / (6 - 4)

                    = -5/2

So, the slope is -5/2.

Therefore, the slope of the line that joins (-8, -11) and (-1, -5) is 6/7.

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ4

In performing back-substitution, we work with the echelon form of an augmented matrix that corresponds to a system of linear equations in x, y, and z.

Back-substitution is a method used to solve a system of linear equations by working with the echelon form of an augmented matrix.  To perform back-substitution, we start from the bottom row of the echelon form and solve for the variables one by one. We substitute the value of the variable we solved for into the equations above it, simplifying the system of equations at each step.

In the given problem, the echelon form of the augmented matrix represents a system of linear equations in x, y, and z. By performing back-substitution, we can find the values of x, y, and z that satisfy the system of equations.

Learn more about echelon form here:

https://brainly.com/question/30403280

#SPJ11

Answer:

The answer is true

Step-by-step explanation:

Hope this Helps!

The general solution to the given differential equation is z(t) = C1*\(e^{(3t)}\) + C2*\(e^{(-3t)}\)

The given differential equation is a second-order linear homogeneous differential equation, which can be written as:

z'' + z' - 9z = 0

To find the general solution, we first need to solve the characteristic equation:

\(r^2\) + r - 9 = 0

By factoring or using the quadratic formula, we find the roots r1 and r2:

r1 = 3
r2 = -3

Since we have two distinct real roots, the general solution of the differential equation is:

z(t) = C1 * \(e^{(r1t)}\) + C2 * \(e^{(r2t)}\)
z(t) = C1 * \(e^{(3t)}\) + C2 * \(e^{(-3t)}\)

where C1 and C2 are arbitrary constants determined by initial conditions.

Know more about Differential equation here :

https://brainly.com/question/28099315

#SPJ11

The ordered pairs from the graph of quadratic and linear equations are (-2, 7) and (2, -1)

A graph of a quadratic equation is a parabolic curve that opens up or down, depending on the sign of the coefficient of the squared term. A general form of a quadratic equation is given by:

y = ax^2 + bx + c,

where a, b, and c are constants. The graph of this equation can be plotted by choosing a range of values for x and calculating the corresponding values of y.

A graph of a linear equation is a straight line. A general form of a linear equation is given by:

y = mx + b,

where m is the slope of the line and b is the y-intercept.

In this problem, the ordered-pairs will be the point in which they intersect with each other.

Looking carefully at the graph, the ordered pair will be at points

A = (-2, 7)

B = (2, -1)

Learn more on ordered pairs here;

https://brainly.com/question/1528681

#SPJ1

Answer:

b

Step-by-step explanation:

102.4..... you're right

Answer:

the answer is  102.4

Step-by-step explanation:

\(y=19.08(1.129)^{-1}\) is the exponential model that describes the value of the land.

Exponential growth is a process by which quantity increases over time. When the instantaneous rate of change (that is, the derivative) of a quantity with respect to time is proportional to the quantity itself, it is said to be proportional to the quantity itself. A quantity experiencing exponential growth is an exponential function of time, which means that the variable representing time is the exponent (in contrast to other types of growth, such as quadratic growth).

\($$Use the exponential model:$$y=a \cdot b^x$$Let $y$ be the value of the area of land in thousand dollars and $x$ be the number of years since 1950.Given two consecutive $x$-values $x=4$ (year 1954) and $x=5$ (year 1955), the growth factor $b$ is the ratio of their $y$ -values:$$b=\frac{35}{31} \approx 1.129$$Use the value of $b$ and one of the data points to find the initial value, $a$. Here, I used $(4,31)$ :\)

\($$\begin{gathered}31=a(1.129)^4 \\\frac{31}{(1.129)^4}=a \\19.08 \approx a\end{gathered}\\\\\\So, the function describing the value of the land is:$$y=19.08(1.129)^{-1}$$\)

Thus, \(y=19.08(1.129)^{-1}\) is the exponential model that describes the value of the land.

Learn more about exponential growth

https://brainly.com/question/28596571

#SPJ1

Step-by-step explanation:

Looks like teacher marked 66 and that's because trapezoids angles added together are 360 degrees. And the two on the same side will each half of that, which is 180.

We have 114 and ? on the same side

114 + ? = 180

180 - 114 = ?? and that's 66

Step-by-step explanation:

Starting with the equation x^2 + y^2 = 25, we can implicitly differentiate with respect to t using the chain rule:

2x dx/dt + 2y dy/dt = 0

Now we can plug in the given values for dy/dt, x, and y:

2(3) dx/dt + 2(4) (3) = 0

Simplifying:

6 dx/dt + 24 = 0

Subtracting 24 from both sides:

6 dx/dt = -24

Dividing by 6:

dx/dt = -4

Therefore, dx/dt = -4 when dy/dt = 3, x = 3, and y = 4.

PS I love you. And i asked the Ask AI app to write this for me. Get it for free --> https://get-askai.app

The value of the derivative, dx/dt is -4, when x^2 + y^2 = 25, dy/dt = 3, x = 3, and y = 4.

1. Differentiate both sides of the equation x^2 + y^2 = 25 with respect to t. Use the chain rule for differentiating y^2 with respect to t.
  d(x^2)/dt + d(y^2)/dt = d(25)/dt

2. Apply the chain rule,
  2x(dx/dt) + 2y(dy/dt) = 0

3. Plug in the given values for x, y, and dy/dt,
  2(3)(dx/dt) + 2(4)(3) = 0

4. Simplifying the equation,
  6(dx/dt) + 24 = 0

5. Solve for dx/dt,
  6(dx/dt) = -24
  dx/dt = -24/6
  dx/dt = -4

So, when x^2 + y^2 = 25, dy/dt = 3, x = 3, and y = 4, the value of the derivative, dx/dt is -4.

Learn more about derivatives:

https://brainly.com/question/23819325

#SPJ11

First and foremost, it is important to note that human skin color is determined by a variety of factors, including genetics, environmental influences, and geographic location. In fact, skin color is the result of the amount and type of melanin pigment produced by specialized cells in the skin called melanocytes.

There are two main types of melanin pigment: eumelanin and pheomelanin. Eumelanin is responsible for producing darker skin colors, while pheomelanin produces lighter skin colors. However, the amount and distribution of these pigments can vary greatly between individuals, resulting in a wide range of skin tones.

Additionally, skin color can also be influenced by factors such as sun exposure, age, and hormonal changes. For example, prolonged sun exposure can lead to darker skin, while aging and hormonal changes can cause changes in skin pigmentation. Furthermore, it is important to note that skin color is not always clearly defined or easily categorized into specific shades. There can be a great deal of variation within a single skin tone, as well as overlap between different skin tones. This is due to the complex interplay of genetic and environmental factors that contribute to skin color.

To know more about genetics visit:-

https://brainly.com/question/30459739

#SPJ11

Answer:

C = 1/3(x)

Step-by-step explanation:

Here, we want to get the equation of the line that contains the given points

From what we have , we can see that when the x-values are divided by 3, we get the y-values

thus, the equation that links the two variables is that;

y = 1/3x

Answer:

Step-by-step explanation:

that's correct :)

When a previous result is found to be an error and a corrected result is obtained, it is important to appropriately handle and document the old result. Here are some steps to consider:

1. Acknowledge the error: Clearly identify and acknowledge that the previous result was incorrect. It is important to be transparent and honest about the mistake.

2. Retract or correct the old result: Communicate the error and provide the corrected result. This can be done through formal channels, such as retracting a publication or notifying relevant parties about the correction. Make sure the corrected information reaches the appropriate audience.

3. Provide an explanation: Offer an explanation of why the error occurred. Was it a calculation mistake, data entry error, or any other factor that led to the incorrect result? Providing an explanation can help prevent similar errors in the future and maintain trust in the accuracy of your work.

4. Update relevant documentation: Update any reports, documents, or records that include the old result. Ensure that the corrected result is reflected in all relevant materials to avoid confusion and provide accurate information to others who may refer to those documents.

5. Learn from the mistake: Take the opportunity to learn from the error and implement measures to prevent similar mistakes in the future. This may include double-checking calculations, implementing quality control processes, or seeking feedback and review from colleagues.

By acknowledging the error, correcting the result, and taking steps to prevent similar mistakes in the future, you can maintain integrity and trust in your work.

To know more about document refer here

https://brainly.com/question/17287798#

#SPJ11

Answer:

13

Step-by-step explanation:

2.25*13 = 29.25

Answer: 13.2 pieces of rope can be created.

Step-by-step explanation:

Kathleen Ledecky was swimming at a speed of approximately 0.0597 miles per minute during the 1500m freestyle swim

To convert the time in minutes, we can convert 15 minutes and 35 seconds to a decimal of a minute

15 minutes + 35 seconds = 15 + 35/60 = 15.58 minutes

Now, to find the speed in miles per minute, we need to know the distance she swam in miles. The 1500m is approximately 0.932 miles (since 1 mile is approximately 1609.34 meters).

So, her speed in miles per minute would be:

Speed = Distance / Time

Speed = 0.932 miles / 15.58 minutes

Speed = 0.0597 miles per minute

Learn more about speed here

brainly.com/question/751218

#SPJ4