the composite method for determining the location of the center of gravity of a composite body requires . a) integration b) differentiation c) simple arithmetic d) all of the above

Answer:

x  =  1.09 ,  − 0.46

Step-by-step explanation:

→ Factorise 8x² - 5x - 4

Not possible by factorisation

→ Substitute values into quadratic formula

x  =  1.09 ,  − 0.46

To calculate the duration of the shift, you need to subtract the clock-in time from the clock-out time.

In this case, the shift worker clocked in at 1730 hours (5:30 PM) and clocked out at 0330 hours (3:30 AM). However, since the clock is based on a 24-hour format, it's necessary to consider that the clock-out time of 0330 hours actually refers to the next day.

To calculate the duration of the shift, you can perform the following steps:

1. Calculate the duration until midnight (0000 hours) on the same day:

  - The time between 1730 hours and 0000 hours is 6 hours and 30 minutes (1730 - 0000 = 6:30 PM to 12:00 AM).

2. Calculate the duration from midnight (0000 hours) to the clock-out time:

  - The time between 0000 hours and 0330 hours is 3 hours and 30 minutes (12:00 AM to 3:30 AM).

3. Add the durations from step 1 and step 2 to find the total duration of the shift:

  - 6 hours and 30 minutes + 3 hours and 30 minutes = 10 hours.

Therefore, the duration of the shift was 10 hours.

The gravitational potential energy of the stone-Earth system can be calculated before the stone is released, after it reaches the bottom of the well, and the change in gravitational potential energy during the process.

Gravitational potential energy is given by the formula PE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height.

(a) Before the stone is released, it is held 11 m above the top edge of the well. The mass of the stone is 0.25 kg, and the acceleration due to gravity is approximately 9.8 m/s². Using the formula, the gravitational potential energy is calculated as PE = (0.25 kg)(9.8 m/s²)(11 m).

(b) After the stone reaches the bottom of the well, its height is 7.3 m. Using the same formula, the gravitational potential energy at this point is given by PE = (0.25 kg)(9.8 m/s²)(7.3 m).

(c) The change in gravitational potential energy can be determined by subtracting the initial potential energy from the final potential energy. The change in gravitational potential energy is equal to the gravitational potential energy after reaching the bottom of the well minus the gravitational potential energy before the stone was released.

By calculating these values, we can determine the specific numerical values for (a), (b), and (c) based on the given data.

Learn more about gravitational here:

https://brainly.com/question/32609171

#SPJ11

Answer:

12x^3-9x^2+4x-3

3(4x^3-1)-(9x^2+4x)

therefore option A is right

thank you, and mark it as brainliest if u find it useful

Answer:

\( \frac{3}{8} \div \frac{2}{3} - \frac{1}{8} \)

Step-by-step explanation:

HOPE IT HELPS (^o^)/

#carryonlearning

The if statement assigns a value of 10000 to the variable "bonus" if the value of the variable "goodssold" exceeds 500000.

To achieve this, we can use an if statement in programming. An if statement allows us to conditionally execute a block of code based on a specified condition. In this case, the condition is whether the value of the variable "goodssold" is greater than 500000. If the condition evaluates to true, the code inside the if statement will be executed, and the variable "bonus" will be assigned a value of 10000.

Here's an example of how the if statement can be written in Python:

if goodssold > 500000:

   bonus = 10000

In this code snippet, the variable "goodssold" represents the number of goods sold, and we compare its value to 500000 using the greater than operator (>). If the condition is true, the code inside the if statement is executed, and the variable "bonus" is assigned a value of 10000. If the condition is false, the code inside the if statement is skipped, and the variable "bonus" retains its previous value (if any).

By using this if statement, we can dynamically assign a bonus of 10000 to the variable "bonus" based on the value of the variable "goodssold" being greater than 500000. This allows for flexible and conditional handling of the bonus calculation in the program.

Learn more about statement here:

https://brainly.com/question/30483936

#SPJ11

Answer:

(5π/12)(11) = about 14.4 inches

Answer:

120.96

Step-by-step explanation:

v = pi × R squared × hight

it's like when

14=2×7

14÷2=7

you turn the equation

Answer:

\(48cm^{2} \)

Step-by-step explanation:

The explanation is pinned.

plz give me Brainliest and 100 points.

Answer:

48 cm²

Step-by-step explanation:

Total area  = area of rectangle + area of two triangles

                 = 3 x (4 + 5 + 3) + \(\frac{1}{2}\) x 4 x 3 x 2

                 = 3 x 12 + 12

                 =36 + 12

                 = 48

Answer:

Juan said he made a better rate of pay because he was paid $14.80 an hour.

Step-by-step explanation:

Juan made more because he makes $14.80 an hour, whereas Lisa makes only $14 an hour.

Enjoy your day! :D

1. Set the positive values of x to zero: x(x > 0) = 0;

2. Set values that are multiples of 3 to 3:  x(mod(x, 3) == 0) = 3;

3. Multiply the even values of x by 7: x(mod(x, 2) == 0) = x(mod(x, 2) == 0) * 7;

4. Extract the values of x that are greater than 5 into a vector called: y = x(x > 5);

5. The larger value of x and print it into vector called z: z = max(x);

Here are the commands to perform the requested operations on the vector `x`:

1) Set the positive values of x to zero:

```matlab

x(x > 0) = 0;

```

2) Set values that are multiples of 3 to 3:

```matlab

x(mod(x, 3) == 0) = 3;

```

3) Multiply the even values of x by 7:

```matlab

x(mod(x, 2) == 0) = x(mod(x, 2) == 0) * 7;

```

4) Extract the values of x that are greater than 5 into a vector called y:

```matlab

y = x(x > 5);

```

5) Select the larger value of x and store it in a vector called z:

```matlab

z = max(x);

```

After executing these commands, you will have the updated vector `x`, the vector `y` containing values greater than 5, and the scalar value `z` representing the largest value in `x`.

MATLAB is a high-level programming language and environment that is widely used for numerical computation, data analysis, visualization, and algorithm development. The name "MATLAB" stands for "MATrix LABoratory" because its primary data type is the matrix.

MATLAB provides a comprehensive set of mathematical functions and libraries that allow users to perform a wide range of numerical computations and simulations.

It is particularly well-suited for tasks such as linear algebra, signal processing, image and video processing, control system design, and optimization.

One of MATLAB's main strengths is its interactive and user-friendly nature. It provides a command-line interface where users can enter commands and immediately see the results.

To know more about MATLAB refer here:

https://brainly.com/question/22855458

#SPJ11

26a)729

b)2,457.6

c)3,500

d)8,100

e) 89,600

Step-by-step explanation:

just multiply first and divide with upper number to the lower

Answer:

Step-by-step explanation:

For observers right at the north pole and the south pole, there are only two seasons – an almost six-month long winter night followed by an almost six-month long summer day!

Answer:

(a)= 224

(b)=352

Step-by-step explanation:

(a) in a calculator type 35%x640 and it will have your answer, 224

(b) do the same thins as question a but just add the 2 numbers together

Answer:

no answer

soory

Step-by-step explanation:

Let x and y represent the cost of a blouse and a skirt respectively.

Given;

Dahlia paid $216 for 4 blouses and 5 skirts;

A skirt cost 4 times as much as a blouse;

We have a system of equation.

Solving the simultaneous equation by substitution;

substituting the value of x into equation 2 to solve for y;

So, the cost of 5 skirts is;

In the 2012 Gallup survey, a random sample of 474,195 U.S. adults was interviewed by phone to gather information about their work status, height, and weight.

The objective was to determine the prevalence of obesity (defined as having a body mass index greater than 30) among different work status groups. The survey found that 24.9% of the participants who were employed (either full-time or part-time by choice) were classified as obese. In contrast, 28.6% of the participants who were unemployed and actively seeking work were also found to be obese. This indicates that there may be a relationship between employment status and obesity rates in the U.S. adult population.

However, it is important to note that correlation does not necessarily imply causation, and various factors could contribute to these findings. Further research may be necessary to determine the underlying causes behind the differences in obesity rates among employed and unemployed individuals.

To learn more about random sample click here

brainly.com/question/31523301

#SPJ11

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be $605.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

Here, Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop.

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be:

= $365 + (5% × $4800)

= $605

The amount is $605.

Learn more about percentages on:

brainly.com/question/24877689

#SPJ1

Step 2: Use the information given in the problem to find the value of k, called the ... 1 – If y varies jointly as x and z, and y = 12 when x = 9 and z = 3, find z when y = 6 ... In this case, you should use v, h, and r instead of x, y, and z and notice how ...

The most common method for finding complex roots of polynomials is the use of the Durand-Kerner Method. This method is based on the Newton-Raphson Method and takes advantage of the fact that complex numbers can be represented by a pair of real numbers.

1. Initialize a set of initial guesses for the roots of the polynomial.

2. Calculate the value of the polynomial at each of the initial guesses.

3. Calculate the derivative of the polynomial at each of the initial guesses.4. Calculate the new root value by subtracting the value of the polynomial at the current guess divided by the derivative of the polynomial at the current guess.

5. Repeat steps 3 and 4 until the values of the roots converge.

6. The final set of roots is the answer.

The most common method for finding complex roots of polynomials is the use of the Durand-Kerner Method. This method is based on the Newton-Raphson Method and takes advantage of the fact that complex numbers can be represented by a pair of real numbers.

Learn more about real number here

https://brainly.com/question/10547079

#SPJ4

Starting from the given system of equations:

Since the variable y is already isolated in the second equation, we can use the substitution method to solve the system.

Replace y by 7x on the first equation:

Then. substitute the value x=1 back into the second equation to find the value of y:

Therefore, the solution for this system of equations is:

in order to provide a more detailed explanation or proceed with the calculation, please provide any additional information, equations, or constraints related to the problem.

To express variables a and b as functions of x and y, we need to establish the relationship between them. This can be done by considering the given information or any relevant equations or constraints provided in the problem.

Without specific information or equations, it is difficult to determine the exact relationship between a, b, x, and y. However, if additional context or equations are provided, we can work through the calculations to express a and b in terms of x and y.

Once the relationship between a, b, x, and y is established, we can proceed with evaluating the expressions by substituting the given values or solving for unknowns if necessary.

To know more about equations visit:

brainly.com/question/29657983

#SPJ11

Answer:

8

Step-by-step explanation:

y1~mx1+b

Answer:

220= -323

Step-by-step explanation:

Answer:

8 boxes

Step-by-step explanation:

20 + 2 = 22

22 / 2.25 =

8.8

Answer:

1.) y > - 1/5

2.) y < -2

Step-by-step explanation:

-5y < 1

y > - 1/5

6y < -12

y < - 12/6

y < -2

Please mark me the brainliest!?!

Answer:

( − ∞ , − 12 )

Step-by-step explanation:

The result can be shown in multiple forms.

Inequality Form:

−  5  <  1  and  6 y  <  − 12

Interval Notation:

( − ∞ , − 12 )

how do we hel you , ca we get a description

Using compatible numbers and adjusting them helps us to perform mental math and make calculations faster. This method also helps us to estimate answers and check if the actual answer is reasonable or not.

To find sums, I would prefer to use the method of using compatible numbers and adjusting. The reason behind this is that it can help me to perform mental calculations and solve mathematical problems faster.What are compatible numbers?Compatible numbers are numbers that are close to the actual numbers, but are easier to work with mathematically. They are rounded numbers that make it easier to perform mental math. Once we have the answer, we can adjust it to get the correct answer.To solve an addition problem using compatible numbers, we choose numbers close to the actual numbers in the problem. For example, if we are adding 45 and 32, we can round the numbers to 50 and 30. Then we add 50 and 30 to get 80, which is the compatible number sum. But this is not the actual answer because we rounded the numbers, so we need to adjust. We subtract 5 from 50 and add 3 to 30 to get 45 and 33, respectively. Then we add the adjusted numbers (45 and 33) to get the correct answer, which is 78.Using compatible numbers and adjusting them helps us to perform mental math and make calculations faster. This method also helps us to estimate answers and check if the actual answer is reasonable or not.

Learn more about number :

https://brainly.com/question/10547079

#SPJ11