1 point) The moment of inertia of a solid body about an axis in 3-space relates the angular acceleration about this axis to torque (force twisting the body). The moments of inertia about the coordinate axes of a body of constant density and mass m occupying a region W of volume V are defined to be m 1: = s | | 602 + 2) av 1, - \«+z) av 1: = "/#2 + y) av V Use these definitions to find the moment of inertia about the z-axis of the rectangular solid of mass 45 given by 0 SXS 5,0 Sy<3,0 Szs 3. 1, = 1 = II

The output of a classification system is usually a discrete value, usually a label or class, which represents the predicted result of the model.

A classification system can be expressed mathematically using a decision boundary. This boundary is defined by a decision function that maps the input data to a discrete output. The decision boundary is determined by setting a threshold for the output of the decision function, such that if the output exceeds the threshold, the predicted class is labeled as a "positive" output and if the output is below the threshold, the predicted class is labeled as a "negative" output.

The output of a regression system is usually a continuous value, which represents the predicted result of the model. A regression system can be expressed mathematically using a linear equation which maps the input data to a continuous output. The equation is determined by fitting a line to the data, such that the line best fits the data points. The value of the output is then calculated by evaluating the equation at a given point in the input data.

Learn more about regression here:

https://brainly.com/question/30011167

#SPJ4

Answer:

19

Step-by-step explanation:

A' represents everything out A

B' represents everything out B

C' represents everything out C

So only the outside is left hope this helps

Answer:

D. cos 0°

Step-by-step explanation:

\( \because \: \cos \: 0 \degree = 1 \\ and \: \sin 90 \degree = 1 \\ \\ \therefore \: \cos \: 0 \degree =\sin 90 \degree \)

There are two 1/2’s in an hour

4 in 2 hours + 0one more 1/2 makes 5 total

Answer: 5

In 20 years from today, the sample will have half of its current 40,000 radioactive particles, which is 20,000 particles.

Assuming that the radioactive decay of the material follows first-order kinetics, the number of radioactive particles in the sample will decrease exponentially over time. The decay constant λ of the material can be calculated using the half-life t1/2, which is the time it takes for half of the radioactive particles to decay. If we know that the material has 40000 radioactive particles today and that your uncle measured 80000 particles 20 years ago, we can use the following formula:
N(t) = N0 * e^(-λt)
where N(t) is the number of radioactive particles at time t, N0 is the initial number of radioactive particles, and e is the mathematical constant approximately equal to 2.71828. Solving for λ, we get:
λ = ln(2) / t1/2
Assuming a half-life of 10 years (which is typical for many radioactive isotopes), we have:
λ = ln(2) / 10 = 0.0693 year^-1
Using this value of λ, we can find the number of radioactive particles in the sample 20 years from today:
N(20) = 40000 * e^(-0.0693 * 20) = 17236 particles
Therefore, the sample of material will have approximately 17236 radioactive particles in it 20 years from today.
Hi! Based on the information provided, the sample's radioactive particles decreased from 80,000 to 40,000 over 20 years. This means the sample lost half of its particles in 20 years. To find the number of radioactive particles 20 years from today, we'll assume the sample continues to lose half its particles every 20 years.

Learn more about radioactive particles here

https://brainly.com/question/11518221

#SPJ11

Characteristics of a bar chart include:

- Bar charts are used strictly for quantitative or numerical data.

- They typically display vertical bars.

- The length or height of a bar reflects the frequency or quantity of a category.

A bar chart is a type of chart used to represent categorical data through rectangular bars. It is suitable for displaying quantitative or numerical data, as it allows for easy comparison between different categories. The vertical bars in a bar chart provide a visual representation of the data, with the length or height of each bar corresponding to the frequency or quantity associated with a particular category.

One of the main advantages of using bar charts is that they provide a clear and straightforward visual representation of data, making it easier to interpret and analyze information. Additionally, bar charts are particularly useful when the axis labels are long or when there are many categories, as they can accommodate such situations by displaying horizontal bars. This allows for better readability and prevents overcrowding of labels.

In summary, bar charts are commonly used to represent quantitative or numerical data. They typically display vertical bars, and the length or height of each bar reflects the frequency or quantity of a category.

To know more about bar charts, refer here:

https://brainly.com/question/32121650#

#SPJ11

Step-by-step explanation:

yes they are because they have the same variables which are X& Y

Answer:

5yx-7xy

they are like terms, it's all multiplication just a different arrangement

5xy-7xy=-2xy

Step-by-step explanation:

hope this is helpful

The vertical offset of the parabolic curve to the point of intersection of the tangent grades is 3.91 meters, and the highest point of the curve is located 100 meters from the P.C. The stationing of the highest point of the curve is at station 11+245.

a. To determine the vertical offset of the parabolic curve to the point of intersection of the tangent grades, we need to find the difference between the elevations of the ascending and descending grades at the intersection point. The vertical offset is given by the formula:

Vertical Offset = (Descending Grade Elevation - Ascending Grade Elevation)

Given that the ascending grade is +3.2% and the descending grade is -2.7%, we can calculate the elevations:

Ascending Grade Elevation = 220 m + (3.2/100) * 300 m = 229.6 m

Descending Grade Elevation = 220 m + (-2.7/100) * 300 m = 212.1 m

Therefore, the vertical offset is:

Vertical Offset = 212.1 m - 229.6 m = -17.5 m = 17.5 m (upward)

b. The highest point of the curve is located at a distance of 100 meters from the P.C. Since the length of the parabolic curve is given as 300 meters, the highest point is situated 1/3rd of the curve's length from the P.C. This implies that the highest point is 100 meters away from the P.C.

c. To determine the stationing of the highest point of the curve, we need to add the distance of the highest point from the P.C. to the stationing at the point of intersection. Given that the station at the point of intersection is 11+145, we can calculate the stationing of the highest point:

Stationing of the Highest Point = 11+145 + 100 = 11+245

Therefore, the stationing of the highest point of the curve is 11+245.

To learn more about parabolic click here: brainly.com/question/14003217

#SPJ11

The point (-5, 4) is on the circle.

The center of the circle is the midpoint of the diameter, which is:

((15 - 25)/2, (25 - 17)/2) = (-5, 4)

The radius of the circle is half the length of the diameter, which is:

\(\sqrt{((15 + 25)^2 + (-25 - (-17))^2)\)/2 = \(\sqrt{(50^2 + 8^2)\)/2 = \(\sqrt{(255)\)/2

So the equation of the circle is:

(x + 5)^2 + (y - 4)^2 = 255/4

To find which point is also on the circle, we can substitute the coordinates of each point into the equation and see which ones satisfy it. Let's substitute (0, 0):

(0 + 5)^2 + (0 - 4)^2 = 25 + 16 = 41/4

This point is not on the circle.

Now substitute (2, 8):

(2 + 5)^2 + (8 - 4)^2 = 49 + 16 = 65

This point is also not on the circle.

Now substitute (-5, 4):

(-5 + 5)^2 + (4 - 4)^2 = 0

This point is on the circle, since its distance from the center is equal to the radius. Therefore, the point (-5, 4) is also on the circle.

To now more about Circle:

https://brainly.com/question/29142813

#SPJ4

The statement "The arithmetic mean is the sum of the quantitative observations divided by the total number of observations" is true.

Arithmetic mean is the average value of a set of numerical values, calculated as the sum of the values divided by the number of values. It is a crucial concept in mathematics and a fundamental aspect of statistical analysis.

Average = (sum of values) / (total number of values)

Formula for Arithmetic Mean: The formula for calculating the arithmetic mean of a set of values can be represented as;

X = (x1 + x2 + x3 +…+ xn) / n

Where; X = Arithmetic mean, x1, x2, x3,…xn = numerical values, n = number of values

Example

Let's say you have the following set of values; {10, 20, 30, 40, 50}

To calculate the arithmetic mean, apply the formula:

X = (10 + 20 + 30 + 40 + 50) / 5= 150/5= 30

Therefore, the arithmetic mean of the set of values {10, 20, 30, 40, 50} is 30.

Learn more about arithmetic mean visit:

brainly.com/question/30377785

#SPJ11

The value of X = 25.

Solution:

The two equations are

(i) the first condition is difference of x and y is 14

x - y = 14 ---------equation 1

(ii) the second condition of the given data is value of x is 3 times more than two times of y value.

x - 2y = 3 --------equation 2

From equation 2, we have to separate two variables x and y,

x = 3 + 2y  --------equation 3

We have to Substitute equation 3 in equation 1

3 + 2y - y = 14

3 + y = 14

y = 14 - 3

y = 11

Substitute y = 11 in equation 1........

x - 11 = 14

x = 14 + 11

x = 25

So, the value of x is 25 and y is 11.

To learn more about equations refer to:

https://brainly.com/question/2972832

#SPJ1

Answer:

Step-by-step explanation:

Given the difference of x and y is 14, and the difference of x and 2y is 3, you want two equations, their graph, and the value of x.

The difference of 'a' and 'b' is (a -b). Here, the two differences are expressed as the equations ...

The attachment shows a graph of these equations. Their point of intersection is (25, 11), meaning the value of x is 25.

The graph of the first equation is easily drawn by recognizing the x- and y-intercepts are 14 and -14, respectively.

The graph of the second equation will go through the x-intercept point of (3, 0) and the y-intercept point of (0, -3/2). It is probably easier to graph this by hand by considering the x-intercept point and the slope of 1/2.

Since we're only interested in the value of x, it is convenient to eliminate the variable y. We can to that by subtracting the second equation from twice the first:

  2(x -y) -(x -2y) = 2(14) -(3)

  x = 25 . . . . . . . . . simplify

Answer:

Step-by-step explanation:

If cot= -1/3 and cos theta Greater than 0, find the trigonometric function values in simplest radical form

Taxpayers in California may need to calculate the itemized deduction limitation when filing their state income taxes. This limitation sets a cap on the amount of itemized deductions that can be claimed, based on the taxpayer's federal adjusted gross income (AGI) and other factors.

Calculating the California itemized deduction limitation involves several steps and considerations to ensure compliance with the state tax regulations. To calculate the California itemized deduction limitation, taxpayers should first determine their federal AGI. This can be found on their federal tax return. Next, they need to identify any federal deductions that are not allowed for California state tax purposes, as these will be excluded from the calculation. Once the applicable deductions are determined, taxpayers must compare their federal AGI to the threshold specified by the California Franchise Tax Board (FTB). The limitation is typically a percentage of the federal AGI, and the percentage may vary depending on the taxpayer's filing status. If the federal AGI exceeds the threshold, the itemized deductions will be limited to the specified percentage. Taxpayers should consult the official guidelines and instructions provided by the California FTB or seek professional tax advice to ensure accurate calculation and compliance with the state tax regulations. Calculating the California itemized deduction limitation is an important step in accurately reporting and calculating state income taxes. It helps determine the maximum amount of itemized deductions that can be claimed, ensuring that taxpayers adhere to the tax laws and regulations of the state.

Learn more about  adjusted gross income (AGI)  here:

https://brainly.com/question/30320694

#SPJ11

On simplifying the given equation, the answer is

\(\frac{{9x^{2} - 15x^{2} + 4x}}{{x^{2} (x-1)} }\)

Solving a math issue is the same thing as simplifying an equation. You basically strive to write an expression as simply as you can when you simplify it. At the conclusion, there shouldn't be any more multiplying, dividing, adding, or removing to perform.

Finding the value or values that make the equation—or math sentence—true is the process of solving.

\(6 + [\frac{x+5}{x^{2}} + \frac{3x - 10}{x-1} ]\\\)

On simplifying it,

\(6 + \frac{(x+5)(x-1) + (3x-10x^{2} )}{x^{2} (x-1)} \\\\6 + \frac{x^{2} -x + 5x +3 x^{3} - 10x^{2} }{x^{2} (x-1)} \\\\6 + \frac{3x^{3} -9x^{2} + 4x }{x^{2} (x-1)} \\\\\frac{6x^{3} - 6x^{2} + 3x^{3} - 9x^{2} +4x }{x^{2} (x-1)} \\\\\frac{9x^{2} - 15x^{2} + 4x}{x^{2} (x-1)}\)

To learn more about simplifying an equation from given link

https://brainly.com/question/432678

#SPJ9

Answer:

Step-by-step explanation:

You want Lisa's and Myra's ages if the sum of their ages is 40 and in 10 years, Lisa will be 3 times as old as Myra.

The current sum of their ages is 40. In 10 years, 10 will be added to each of their ages, so the sum will be 60.

At that time Lisa's age is 3 times Myra's age, so will be 3/(3+1) = 3/4 of the total.

  Lisa's age in 10 years = (3/4)(60) = 45

Lisa is 35 now, and Myra is 5 now.

__

Additional comment

We could write some equations, but we find a mental solution based on ratios to be quick and easy. Here is a solution using equations:

  L + M = 40

  (L +10) = 3(M +10) . . . . . . age relation in 10 years

  (40 -M) +10 = 3M +30 . . . . substitute for L

  20 = 4M . . . . . . . . . add M-30

  M = 5; L = 40-M = 35

<95141404393>

Answer:

\(k<1, k>5\)

Step-by-step explanation:

\(3x+1=x^2+kx+2 \\ \\ x^2+x(k-3)+1=0 \\ \\ \Delta>0 \implies (k-3)^2-4(1)(1)>0 \\ \\ (k-3)^2-2^2>0 \\ \\ (k-1)(k-5)>0 \\ \\ k<1, k>5\)

The purpose of stories "Here at the given any rate is said the bachelor, and then collecting his belongings preparatory to leaving the carriage, then he kept them quiet for ten minutes, which was more than you were able to do."

Here we need to excerpt from the storyteller best supports the theme that the purpose of stories.

While we look the bachelor says at the end they said that he kept them quiet for ten minutes, which was more than you were able to do and then he is implying that no matter what she thought of his story and how much "better" she thought she could've done it, and then his was able to capture the attention of these kids and that is the matter of the issue because, therefore for a story and then entertaining is more important than proper form

To know more about story here.

https://brainly.com/question/29796591

#SPJ4

The 11-4 skills practice areas of regular polygons and composite figures involve finding the areas of different geometric shapes using specific formulas and methods.

To find the area of regular polygons, you can use the formula (1/2) x apothem x perimeter.

For composite figures, you can break the shape into smaller, more manageable shapes like rectangles, triangles, or circles, and then calculate the area of each component before adding them together.

Hence, The 11-4 skills practice areas of regular polygons and composite figures teach you to find areas using the appropriate formulas and methods, improving your geometry understanding and problem-solving abilities.

learn more about polygons click here:

https://brainly.com/question/26583264

#SPJ11

Answer:

(25%)

Step-by-step explanation:

12√4=3√1=3=25%

The statistical approach involved in generalizing from a sample of 25 patients to an entire population of the hundreds of patients in a particular hospital is known as decision making.

A population size can be defined as the number of individual (each) living organisms in a population, and it is usually denoted by N.

Basically, population size is primarily associated with the number of genetic variation or genetic drift in a particular population.

The decision-making process can be defined as a cognitive process that involves gathering (obtaining) information a population, analyzing them, and then evaluating alternatives, so as to enable the proper selection of an optimum solution (choice) to a particular problem.

This ultimately implies that, an example of decision making is a statistical approach which involves generalizing from a sample of 25 patients to an entire population of the hundreds of patients in a particular hospital.

Read more on population here: https://brainly.com/question/7301139

#SPJ4

Answer:

a = 139.1

b = 56.2

Step-by-step explanation:

A. Reference angle = 68°

Opp = a

Hyp = 150

Therefore:

Sin 68 = opp/hyp

Sin 68 = a/150

150*sin 68 = a

a = 139.1 (nearest tenth)

B. Reference angle = 68°

Adj = b

Hyp = 150

Therefore:

Cos 68 = adj/hyp

Cos 68 = b/150

150*cos 68 = b

b = 56.2 (nearest tenth)

As, we have :

To find surface area, we have a formula :

\( \Large \underline{\boxed{\tt{Surface \: Area = 2\pi rh+2 \pi r^{2}}}}\)

By filling values :

\( \sf : \implies Surface \: Area = 2 \pi (7)(20)+2 \pi (7)^{2}\)

\( \sf : \implies Surface \: Area = 280 \pi + 2 \pi (7)(7)\)

\( \sf : \implies Surface \: Area = 280 \pi + 98 \pi\)

Now, put value of π = 22/7

\( \sf : \implies Surface \: Area = 280\times \dfrac{22}{7} + \cancel{98} \times \dfrac{22}{\cancel{7}}\)

\( \sf : \implies Surface \: Area = 40 \times 22 + 14 \times 22\)

\( \sf : \implies Surface \: Area = 40 \times 22 + 14 \times 22\)

\( \sf : \implies Surface \: Area = 880 + 308\)

\( \sf : \implies Surface \: Area = 1188\)

\( \Large \underline{\boxed{\tt{Surface \: Area = 1188 \: inches^{2} }}}\)

Hence, Surface area of given cylinder is 1188 inches².

Answer:

A≈1187.52in²

Step-by-step explanation:

A=2πrh+2πr2=2·π·7·20+2·π·72≈1187.52202in²

Hope it helps

Answer: n=4 y=3

Step-by-step explanation:

3n - y = 9

2n + y = 11

n=4

3(4) - y = 9

12 - y = 9

y=3

Adding both

And

Put in eq(1)

The completely factored form of the polynomial is :\(\(12x^2 + 2x - 4 = 2(2x + 4)(3x - 1)\)\)

To completely factor the polynomial \(\(12x^2 + 2x - 4\)\), we need to find expressions that can be multiplied together to obtain the given polynomial.

First, we can look for common factors. In this case, all the coefficients are divisible by 2, so we can factor out a 2:

\(\(2(6x^2 + x - 2)\)\)

Now, we focus on factoring the quadratic expression \(\(6x^2 + x - 2\)\). We need to find two binomials that, when multiplied, give us this quadratic.

To factor \(\(6x^2 + x - 2\)\), we look for two numbers whose product is equal to \(\(6 \times -2 = -12\)\) and whose sum is equal to the coefficient of the middle term, which is 1.

After trying different combinations, we find that the numbers 4 and -3 satisfy these conditions:

\(\(6x^2 + x - 2 = (2x + 4)(3x - 1)\)\)

Putting it all together, the completely factored form of the polynomial is:

\(\(12x^2 + 2x - 4 = 2(2x + 4)(3x - 1)\)\)

To know more about polynomial visit -

brainly.com/question/32838567

#SPJ11

By applying repeated and independent measures concepts, it can be concluded that there are 11 individuals participated in the repeated-measures research study and 12 individuals participated in the independent-measures research study (option D).

In a repeated-measures research study, the degree of freedom (df) is calculated by subtracting 1 from the number of individuals in the study (n). Therefore, if df = 10, then the number of individuals in the study is 10 + 1 = 11.

Whilst, in an independent-measures research study, the degree of freedom (df) is calculated by subtracting 2 from the number of individuals in the study (n). Therefore, if df = 10, then the number of individuals in the study is 10 + 2 = 12.

Therefore, it can be concluded that there are 11 individuals participated in the repeated-measures research study and 12 individuals participated in the independent-measures research study (option D).

To learn more about the repeated and independent measures, click here: https://brainly.com/question/15690601

#SPJ11

The set of numbers {10, 11} can be the measures of the sides of a triangle.

To determine whether each set of numbers can be the measure of the sides of a triangle or not, we need to apply the triangle inequality theorem.

The theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

If we consider 10, 11 as the measures of the sides of a triangle, then the sum of any two sides must be greater than the third side.

The possible cases are 10 + 11 > x, where x is the third side.=> x < 21

This implies that the third side must be less than 21 to form a triangle.

Since there are infinitely many possible values of the third side, it can be any value between 1 and 20 inclusive.

Thus, we can classify the triangle based on the length of the longest side as follows:

If the third side is less than 10, the triangle is acute.

If the third side is equal to 10, the triangle is right-angled.

If the third side is greater than 10 and less than 11, the triangle is obtuse.

Therefore, the set of numbers {10, 11} can be the measures of the sides of a triangle.

The triangle can be classified as obtuse with the given measures of sides.

To know more about the triangle inequality theorem visit:

https://brainly.in/question/22055235

#SPJ11

Hello There!

The formula for finding the volume of a sphere is:

V=4/3πr³

We know that the radius is 9:

V=4/3π(729)

Notice that the radius is cubed.

V=3,053.6

Hope it helps! :)

\(*GraceRosalia*\)