A coefficient is...​

Answer:

28

Step-by-step explanation:

\( - (7) \times ( - 4) \\ - ( - 28) \\ - \times - = + \\ = 28\)

Answer:

  1

Step-by-step explanation:

Use the form for the factoring of the sum of cubes.

To make this easier to write, we'll use the substitutions ...

  a = sin(θ), b = cos(θ)

It looks like you may want to simplify ...

  (a³ +b³)/(a +b) +ab

  = ((a +b)(a² -ab +b²))/(a +b) +ab

The factors of (a+b) cancel. In this case, we know that a² +b² = 1, so this becomes ...

  = (1 -ab) +ab

  = 1

  \(\boxed{\dfrac{\sin^3{\theta}+\cos^3{\theta}}{\sin{\theta}+\cos{\theta}}+\sin{\theta}\cos{\theta}=1}\)

Answer:

y = 1x - 7

Step-by-step explanation:

(3,-4)

y = mx + b

-4 = 1 × 3 + b

solving for b:

b = -4 - (1)(3)

b = -7

Therefore,

y = 1x - 7

Answer:

third option

Step-by-step explanation:

Volume of a cone = V = πr²(h/3)

Where,

Here we are given the following :

Note that we are asked to find the volume in square feet so we must first convert the height and radius into feet

Converting given values

By plugging these values into the formula we acquire

V = (3.14)(124.6704²)(177.1632/3)

==> evaluate exponent

V = (3.14)(15542.7086362)(177.1632/3)

==> divide 177.1632 by 3

V = (3.14)(15542.7086362)(59.0544)

==> multiply 3.14 and 15542.7086362

V = 48804.1051175(59.0544)

==> multiply 48804.1051175 and 59.0544

V = 2882097.1 ft² (rounded to the nearest tenth)

The volume of the cone is 2882097.1 so the correct answer choice is the third option.

Important note : Its important to note that we must convert meters to feet before finding the volume. If we try to convert after finding the volume, our answer will be incorrect.

Learn more about finding the volume of a cone here : https://brainly.com/question/1984638

After converting the given differential equation into first order we will get it as \(\Rightarrow y_2=\frac{1}{2} x \ln |1+x / 1-x|-1\)

The equation dy/dx =f (x,y) with two variables x and y with its function f(x,y) specified on a region in the xy-plane defines a first-order differential equation. There are no higher-order derivatives since it only contains the one derivative, dy/dx, making it a first-order equation.

The given differential equation is

\(\left(1-x^2\right) y^{\prime \prime}-2 x y^{\prime}+2 y=0----(i)\) with y_1=x \(\Rightarrow & y^{\prime \prime}-\frac{2 x}{1-x^2} y^{\prime}+\frac{2}{1-x^2} y=0\end{aligned}$$\)

Equation (1) is in the form of

\($$y^{\prime \prime}+p(x) y^{\prime}+q(x) y=0$$\)

where \($p(x)=\frac{-2 x}{1-x^2}, \quad q(x)=\frac{2}{1-x^2}$\)

As we know that if y_1 is given, we can find y_2 as:

y_2=4y_1, where u is a function of x and can be determined by

\($U=\int \frac{e^{-\int p d x}}{y_1^2} d x$\)

\(=\int \frac{e^{-\int \frac{-2 x}{1-x^2}} d x}{x^2} d x\\=\int \frac{e^{-\ln \left|1-x^2\right|}}{x^2} d x\\=\int \frac{1}{x^2\left(1-x^2\right)} d x\\=\int \frac{\left(1-x^2\right)+x^2}{x^2\left(1-x^2\right)} d x\\=\int\left(\frac{1}{x^2}+\frac{1}{1-x^2}\right) d x\)

\($$\begin{aligned}& =\int \frac{1}{x^2} d x+\int \frac{1}{1-x^2} d x \\& =-\frac{1}{x}+\int \frac{1}{1-x^2} d x\end{aligned}$$\)

Now, \($\int \frac{1}{1-x^2} d x=\int f(x) d x$\) (say)

Where, \($f(x)=\frac{1}{1-x^2}=\frac{1}{(1+x)(1-x)}$\)

\(=\frac{A}{1+\eta}+\frac{B}{1-x} \\\)

1=A(1-x)+B(1+x)

Putting x = 1, we will get B = 1/2

x = -1, we will get it as: A = 1/2

\(\therefore \int \frac{1}{1-x^2} d x=\int \frac{1 / 2}{1+n} d x+\int \frac{1 / 2}{1-x} d x\)

\(=\frac{1}{2} \ln |1+x|-\frac{1}{2} \ln |1-x|\\=\ln \sqrt{1+x}-\ln \sqrt{1-x}\\\\=\ln \left(\frac{\sqrt{1+x}}{\sqrt{1-x}}\right)\\\Rightarrow \int \frac{1}{1-x^2} d x=\ln \left(\frac{\sqrt{1+x}}{\sqrt{1-x}}\right)\)

Hence \($u=-1 / x+\ln \left(\frac{\sqrt{1+x}}{\sqrt{1-x}}\right)$\)

\(\Rightarrow y_2=u \cdot y_1=x\left[-1 / x+\ln \left(\frac{\sqrt{1+x}}{\sqrt{1-x}}\right)=x \ln \left(\frac{\sqrt{1+x}}{\sqrt{1-x}}\right)-1\right.\\\Rightarrow y_2=\frac{1}{2} x \ln |1+x / 1-x|-1\)

For more questions on Differential Equations

https://brainly.com/question/2264000

#SPJ4

The area of the water's surface is approximately 981.25 square units.

Since the water depth is 10, the water fills up half of the hemispheric bowl. Therefore, we need to find the surface area of a circle with radius 25 (the base of the hemisphere) and divide it by 2.

The surface area of a circle with radius r is given by A = πr^2. So, the surface area of the circle with radius 25 is:

A = π(25)^2 = 625π

Dividing by 2, we get

625π/2

So the surface area of the water's surface is 625π/2 square units.

Approximating the value of π as 3.14, we get:

625π/2 ≈ 625(3.14)/2 ≈ 981.25

For such more questions on area

https://brainly.com/question/25292087

#SPJ8

Once a model of reality is constructed around certain assumptions, it can be tested to determine its value in predicting outcomes.

Once a model of reality is constructed around certain assumptions, it can be tested to determine its value in predicting outcomes. This involves comparing the model's predictions with actual observed data or outcomes to assess its accuracy and reliability. By testing the model against real-world data, we can evaluate its validity and determine if it accurately represents the underlying reality or phenomenon being studied.

Producing data and graphing equations are related activities that can be part of the process of testing a model, but they are not the primary purpose of the model itself. Producing data involves collecting and generating empirical data that can be used to assess the model's predictions or outcomes. Graphing equations can be a way to visualize the relationships between variables in the model, but it is not the main purpose of the model itself. The primary purpose of constructing a model is to make predictions or generate hypotheses about how a system or phenomenon works, and testing these predictions against real-world outcomes is the key step in evaluating the model's value.

To know more about Real-world data refer here:

https://brainly.com/question/17544139

#SPJ11

I think it's a

Step-by-step explanation:

associative property means you can change what ever is in the ()

Answer:

Step-by-step explanation:

The mass of the lamina that occupies the region bounded by y = x, x = 0, and y = 9, with variable density ρ(x, y) = sin(y^2), is (-cos(81)/2) + 1/2. To find the mass of the lamina that occupies the region bounded by y = x, x = 0, and y = 9, with variable density ρ(x, y) = sin(y^2).

The mass of the lamina can be calculated using the double integral:

M = ∬ρ(x, y) dA

where dA represents the differential area element.

Since the lamina is bounded by y = x, x = 0, and y = 9, we can set up the double integral as follows:

M = ∫[0, 9] ∫[0, y] sin(y^2) dxdy

Now, we can evaluate the integral:

M = ∫[0, 9] [∫[0, y] sin(y^2) dx] dy

Integrating the inner integral with respect to x:

M = ∫[0, 9] [x*sin(y^2)] evaluated from x = 0 to x = y dy

M = ∫[0, 9] y*sin(y^2) dy

Now, we can evaluate the remaining integral:

M = [-cos(y^2)/2] evaluated from y = 0 to y = 9

M = (-cos(81)/2) - (-cos(0)/2)

M = (-cos(81)/2) + 1/2

Learn more about Mass of lamina here : brainly.com/question/29376775

#SPJ11

Answer:

70

Step-by-step explanation:

the smaller box hold 1280

and the biger one  1350

Answer:

70 more than the samller one

the bigger one can 1350 and the  smaller one can hold   1280

Step-by-step explanation:

The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.

To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.

To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.

After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:

(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).

These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.

Learn more about compound inequality

brainly.com/question/17957246

#SPJ11

Answer:

irrational

Step-by-step explanation:

A rational number is a number that can be expressed in the form of p/q where q ≠ 0. And the square root of 42 cannot be expressed in the form of p/q. So, the square root of 42 is an irrational number.

An associate in a scatter plot tells us the relation between the two variables. The points that are true about the given scatter plot are C and F.

An associate in a scatter plot tells us the relation between the two variables. There are 4 types of associates:

Positive associate: If the value of one variable is increasing the value of another increase as well, but the relation is not linear.

Negative associate: If the value of one variable is decreasing with the value of another increasing as well, but the relation is not linear.

Linear Associate: If the value of one is dependent on the other such that they follow a function of line, and all the data points are on that function line.

Non-linear Associate: If the data points of the plot are scattered and random, such that there is no relationship between the points.

The points that are true about the given scatter plot are:

C.) There appears to be a positive association.

F.) A cluster appears to be at the bottom left corner.

Learn more about Association:

https://brainly.com/question/382585

#SPJ1

Answer:

$300

Step-by-step explanation:

So the equation would look like this since you pay a one time fee on $60 that is the y-intercept, and since you pay $40 per month that is you m or slope constant rate of change etc.

The equation looks like this.

y = 40x + 60

Since it wants to know how much after 6 months plug in 6 where the x is.

y = 40(6) + 60

y = 240 + 60

y = 300

$300

Hope this helps!!

Answer:

$420.00

Step-by-step explanation:

Let x = cost after 9 months. Let y = cost of phone.

x = y + (r · t)

y = $60.00

r = monthly rate of $40.00

t = time period of 9 months

x = $60.00 + [($40.00/month)(9 months)]

The months cancel, leaving dollars.

x = $60.00 + [$360.00] = $420.00

The width of the pool is 18 feet, and the length is 24 feet (since it is 6 feet longer than the width).

Let's represent the width of the pool as x. Then, the length of the pool would be x + 6.

The total area of the pool and walk is given by:

Total area = (length + 2(4)) × (width + 2(4))

Total area = (x + 6 + 8) × (x + 4)

Total area = (x + 14) × (x + 4)

The area of the pool itself is given by:

Pool area = length × width

Pool area = x(x + 6)

Pool area = x² + 6x

We're told that the total area is 272 more than the area of the pool:

Total area = Pool area + 272

(x + 14) × (x + 4) = x² + 6x + 272

Expanding the left side of the equation:

x² + 18x + 56 = x² + 6x + 272

Simplifying the equation:

12x = 216

Solving for x:

x = 18

So the width of the pool is 18 feet, and the length is 24 feet (since it is 6 feet longer than the width).

Learn more about the width

https://brainly.com/question/29281920

#SPJ4

Full Question: A rectangular pool is surrounded by a walk 4 feet wide. The pool is six feet longer than its wide. If the total area is 272 ft² more than the area of the pool,what are the dimension of the pool?

Answer:

If the normal daily dose of the drug for adults is 3 mg/kg/day, administered in three ... Calculate the number of tablets to dispense to a patient weighing 147 lb. ... are needed to provide 50 mg/kg/day for 10 days for a person weighing 176 lb? 160 ... How many milliliters of an injection containing 500 mg per 25 mL

Step-by-step explanation:

ndsvjnvf

In summary, the Total Diet Study conducted by the FDA typically tests around 280 different food samples each year. This study helps monitor the levels of contaminants and nutrients in the average American diet and informs the FDA's regulations and recommendations regarding food safety and nutrition.

The Total Diet Study (TDS) is conducted by the U.S. Food and Drug Administration (FDA) to monitor the levels of various contaminants and nutrients in the average American diet. The study aims to assess potential health risks associated with these substances.
Each year, the TDS collects and analyzes a wide range of food samples from different locations throughout the United States. These samples include fruits, vegetables, grains, dairy products, meat, and seafood, among others.
The number of food samples tested during each TDS cycle may vary, but the study typically analyzes around 280 different food items. These items are selected based on their significance in the American diet and their potential for contamination or nutrient analysis.
By analyzing these food samples, the FDA can identify any potential risks associated with contaminants or nutrient deficiencies. This information helps the FDA in setting regulations and recommendations to ensure the safety and nutritional quality of the food supply.

Read more about US Food & Drug Administration here:

https://brainly.com/question/30352974

#SPJ11

Researcher can use factor analysis to cluster such traits as being talkative, social, and adventurous with extroversion.

Given is that a researcher wants to cluster such traits as being talkative, social, and adventurous with extroversion.

Therefore, Researcher can use factor analysis to cluster such traits as being talkative, social, and adventurous with extroversion.

To solve more questions on statistical techniques, visit the link

below -

brainly.com/question/29014197

#SPJ1

Two equal-size vectors at right angles to each other have a resultant that is equal to \(\sqrt{2}\) times the magnitude of each individual vector.

The magnitude of the resultant vector of two equal-size vectors at right angles to each other can be determined using the Pythagorean theorem.

Let's assume the magnitude of each vector is represented by "a".

According to the Pythagorean theorem, the magnitude of the resultant vector, denoted as "R", can be calculated as:

R =\(\sqrt{a^2 + a^2}\)

R = (\(\sqrt{2a^{2} )}\)

R = \(\sqrt{2}\) a

Therefore, the magnitude of the resultant vector is equal to \(\sqrt{2}\) times the magnitude of each individual vector.

Learn more about Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ11

During the late 19th and early 20th centuries, many artists were seeking a different world due to several reasons.

1. Social and Political Changes During the late 19th and early 20th centuries, social and political changes were occurring at a rapid pace. The industrial revolution led to the growth of cities, which, in turn, caused a breakdown in traditional society. As a result, many artists were seeking a different world that was more in line with their ideals.2. Technological Advancements Inventions such as the telegraph and the telephone enabled artists to communicate with one another and share their ideas. Artists were inspired by new technologies and used them to create new forms of art.3. World War I World War I was a traumatic event that had a significant impact on the artistic community. Many artists were disillusioned by the horrors of war and sought to create a new world that was free from conflict and violence.4. Industrialization and Urbanization .The growth of industry and the shift from rural to urban life had a profound effect on the artistic communit.5. Romanticism .Romanticism was a cultural movement that emphasized emotion, imagination, and individualism. Many artists were inspired by the romantic ideal and sought to create works that expressed their innermost feelings and thoughts. The movement emphasized the importance of nature, beauty, and the sublime, which were seen as antidotes to the dehumanizing effects of industrialization and urbanization.

Learn more about reasons here:

https://brainly.com/question/14859806

#SPJ11

By squaring the deviations from the mean, we make them positive numbers, and the sum of the squared deviations will also be a positive number.

In mathematics and statistics, deviation refers to the difference between a value and a reference value or an expected value. More specifically, deviation is a measure of how far a set of numbers is spread out from their average value or the central point.

By squaring the deviations from the mean, we make them positive numbers, and the sum of the squared deviations will also be a positive number. This is because squaring any number makes it positive, regardless of whether the original number was positive or negative.

Additionally, squaring the deviations before summing them up allows us to give more weight to larger deviations from the mean. This is because squaring a larger deviation will result in a much larger value than squaring a smaller deviation, which helps to highlight the effect of outliers or extreme values in the data set.

The sum of the squared deviations is used in many statistical calculations, including calculating the variance and standard deviation of a data set, which are measures of the spread of the data.

To know more about deviation visit:

https://brainly.com/question/475676

#SPJ1

Answer:

69.12ft

Step-by-step explanation:

I'm

pretty sure

Answer: Brand C because...

Step-by-step explanation:

Brand A= 0.23 for 1 ounce

Brand B=0.225for 1 ounce

Brand C= 0.21 for 1 ounce

Brand D= 0.25 for 1 ounce

The values of x = 19.5, y= 17, and z=30.6 is not valid for the parallelogram.

What are the Properties of Angles of a Parallelogram?

A parallelogram is a quadrilateral with equal and parallel opposite sides. There are some special properties of a parallelogram that make it different from the other quadrilaterals.

The consecutive angles are supplementary then,

5y + 7y - 24 = 180

12y = 180 + 24

12y = 204

y = 204/12

y = 17

The opposite angles of a parallelogram are congruent (equal) then,

5y = 4x + 7

5(17) = 4x + 7

85 = 4x + 7

85 -7 = 4x

4x = 78

x = 78/4 = 19.5

x = 19.5

the consecutive angles are supplementary, then

4x + 7 + 3z = 180

4(19.5) + 7 + 3z = 180

78 + 7 + 3z = 180

85 + 3z = 180

3z = 180 - 88

3z = 92

z = 92/3

z = 30.6

All the angles of a parallelogram add up to 360°, then:

4x + 7 + 3z + 5y +7y - 24 = 360

To check is this a parallelogram? put the values of x, y, and z in the above equation:

4(19.5) + 7 + 3(30.6) + 5(17) +7(17) - 24 = 360

356.8 ≠ 360

hence, the values of x = 19.5, y= 17, and z=30.6 is not valid for the parallelogram.

To learn more about the Properties of Angles of a Parallelogram visit,

https://brainly.com/question/29782038

#SPJ1

This is an example of a comparative study that uses random sampling to ensure representation from different socioeconomic groups and educational backgrounds in the samples. The study aims to compare mathematics knowledge among 15-year-olds in the US and Japan by administering a mathematics achievement test to 1000 students from each country.
Hi! I'd be happy to help with your question. You would like to compare mathematics knowledge among 15-year-olds in the US and Japan by giving a mathematics achievement test to samples of 1000 15-year-olds in each of the two countries, with 200 students from low-income families, 400 students from middle-income families, and 400 students from high-income families in each country. This is an example of a stratified random sampling method.

In this case, the population is divided into different strata based on socioeconomic groups (low-income, middle-income, and high-income families), and then random samples are drawn from each stratum. This ensures that the samples include individuals from all different socioeconomic groups and educational backgrounds, which allows for a more accurate comparison between the two countries.

To know more about comparative visit:

https://brainly.com/question/31235299

#SPJ11

Answer:

29

Step-by-step explanation:

Copy dot flip

7/8 × 8/1 + 22

56/8 + 22

7 + 22

29

Answer:

11

Step-by-step explanation: