The molecular weight distributions for polyethylene terephthalate [(C₁₀H₈O₄)_n]

is shown in the table._. Atomic weight of C=12.0, H=1.0, O = 16.0

1. Calculate the degree of polymerization (DP) of the polymer.

(c)        Calculate the weight-average molecular weight of the polymer.

      Show all steps of calculations.

The power (in watts) used to move air out of the lungs is equal to the air pressure (in N/m²) multiplied by the air flow rate (in m³/s). For quiet breathing (where p = 100 N/m² and flow rate = 100 cm³/s or 1.0 x 10^-4 m³/s), the power involved = 0.01 W ; for loud singing (where p = 4000 N/m² and flow rate = 400 cm³/s or 4.0 x 10⁴ m³/s), the power involved = 1.6 W.

In problem P7 (above), we determined that the total power involved in moving the air at a pressure of 4000 N/m² (loud singing) = 1.6 W. The fraction (in %) of this total power that is converted into and radiated as sound = _______ %.

A boxcar of length 10.1 m and height 2.4 m is at rest on frictionless rails. Inside the boxcar (whose mass when empty is 3600 kg) a tank containing 1700 kg of water is located at the left end. The tank is 1.0 m long and 2.4 m tall. At some point the walls of the tank start to leak, and the water fills the floor of the boxcar uniformly. Assume that all the water stays in the boxcar.

A. After all the water has leaked out what will be the final velocity of the boxcar? (Take movement to the right as positive. Assume that the mass of the boxcar is evenly distributed.)

B. What is the displacement of the boxcar 9 s after the water has settled in the bottom. (Take positive displacement as being to the right.)

A block with mass mA = 15.0 kg on a smooth horizontal surface is connected by a thin cord that passes over a pulley to a second block with mass mB = 6.0 kg which hangs vertically.

Determine the magnitude of the acceleration of the system.

Express your answer to two significant figures and include the appropriate units.

If initially mA is at rest 1.250 m from the edge of the table, how long does it take to reach the edge of the table if the system is allowed to move freely?

Express your answer to two significant figures and include the appropriate units.

If mB = 1.0 kg, how large must mA be if the acceleration of the system is to be kept at g100?

Express your answer to two significant figures and include the appropriate units.

Write a program that prompts the user to enter a 3 x 3 matrix of double values and tests whether it is a positive Markov matrix. There will be two methods which will be called from the main method: public static double [] [] createArray() 1. Creates a 3 by 3 two dimensional array of doubles 2. Prompts the user for values as shown in the sample run 3. Stores the numbers in the array in the order entered 4. Returns the array to the main method public boolean isMarkovMatrix(double [][] matrix) 1. Returns false if any value in the array is negative 2. Prints the sum of each column in the array 3. Returns false if any the sum of any of the columns is not equal to 1.0 4. Otherwise, it returns true.

Assume that stock market returns have the market index as a common factor, and that all stocks in the economy have a beta of 1.7 on the market index. Firm-specific returns all have a standard deviation of 35%.

Suppose that an analyst studies 20 stocks and finds that one-half of them have an alpha of +2.6%, and the other half have an alpha of −2.6%. Suppose the analyst invests $1.0 million in an equally weighted portfolio of the positive alpha stocks, and shorts $1 million of an equally weighted portfolio of the negative alpha stocks.

a. What is the expected profit (in dollars) and standard deviation of the analyst’s profit?

b. How does your answer change if the analyst examines 40 stocks instead of 20 stocks? 80 stocks?

Im trying to create a function in C where it takes an array and size and returns the largest absolute value in the array (either negative or positive) using only stdio.h. Any help would be greatly appreciated!

Ex: if the array is { -2.5, -10.1, 5.2, 7.0}, it should return -10.1

Ex: if the array is {5.1, 2.3, 4.9, 1.0}, it should return 5.1.

double getMaxAbsolute(double array[], int size)
{
    double max = array[0];
   double abs[size];
   for (int i = 0; i < size; i++) {
      
        if ( array[i] >= 0){
        abs[i] = array[i];
        }
        else if (abs[i] < 0){
           abs[i] = - array[i];
       }

       if (abs[i] > max)
       {
            max = array[i];
          
        }
   }

   return max;
}

These post lab questions are regarding the spectroscopic determination of an equilibrium constant of an FeSCN complex where the wavelength was set at 447 nm. These are general questions about the effects on calculations each scenario would have... Sooooo

1. What would have happened to your absorbance reading and to your calculations of Keq if the spectrophotometer had been set at 520 nm rather then 447 nm? ) Clearly explain

2. How would your calculations of the concentration of FeSCN been affected if the cuvette had a 1.5 path length rather than a 1.0 cm path length you were told to use.

3. Finally, Would your equilbirium constant results been affected if you had swapped the volumes used of Fe and SCN?

A researcher is studying reentry following imprisonment. She thinks that hanging out with friends with criminal records will increase the chances of getting rearrested for DUIs among formerly incarcerated individuals. To test her hypothesis, she first collected data from a random sample of formerly incarcerated adults. Then, she summarized the relationship between the number of criminal peers and the number of DUI arrests by calculating the following bivariate regression equation: y^=1.0+0.50(x).

1. What does  y^ refer to in the regression equation?

A. predicted number of DUI arrests

B. number of criminal peers

C. the intercept of the regression line

D. the slope of the regression line

E. the amount of variance explained

2. What does 0.50 refer to in the regression equation?

A. predicted number of DUI arrests

B. number of criminal peers

C. the intercept of the regression line

D. the slope of the regression line

E. the amount of variance explained

3. What does x refer to in the regression equation?

A. predicted number of DUI arrests

B. number of criminal peers

C. the intercept of the regression line

D. the slope of the regression line

E. the amount of variance explained

4. According to the regression equation, a formerly incarcerated adult who reports having four (4) friends with criminal records is predicted to have how many DUI arrests?

A. 0.5 arrests

B. 1.0 arrest

C. 3.0 arrests

D. 4.0 arrests

E. 0.0 arrests

5. After describing the bivariate relationship in this sample using the regression equation, the researcher then wants to test her hypothesis to make inferences about the existence of an association in the larger population. True or false: The following statement is an appropriate null hypothesis for this test. H₀: β for number of criminal peers and number of DUI arrests = 0.

A. True

B. False

y'=y-x^2 ; y(1)= -4

My MATLAB program won't work. I am trying to get the main program to output a plot of the three equations (1 from the main program and two called in the function). The goal is to code a Euler method and a 2nd order Taylor numerical solution for

a. x0= 1.0 , step size h= 0.2, # of steps n=20

b. x0= 1.0 , step size h=0.05 , # of steps n=80 ; write a separate functionn for f(x,y) that is called. Plot the results on the same plot as the exact solution.

I keep getting an error of "Matrix Dimensions must agree ; error in Project_2(my function) with my Tay = ... equation (2nd order taylor equation).

Main Code

t_span = 1:0.2:5;
h=0.2;
y1 = -4;
B=(t_span.^2);
[x,y] = ode45(@(x,y) y-x^2, t_span, y1);
d=[x,y];
project_2(y1,h,d,B)

subplot(4,1,1)
plot(x,y)

xlabel('value of x')
ylabel('value of y(x)')
grid on

t_span = [1:0.05:5];
y1 = -4;
h=0.05;
[x,y]= ode45(@(x,y) y-x^2, t_span, y1);
subplot(4,1,4)
project_2(y1,h,d,B)
plot(x,y)
xlabel('value of x')
ylabel('value of y(x)')
grid on

The Function

function [outputArg,Tay] = project_2(y1,h,d,B)

outputArg = y1 + h*d; %Euler method

Tay= y1 +(h*d)+((1/2)*(h^2))*((y1-2*t_span)+(-B)*d); %2nd order Taylor

subplot(4,1,2)
plot(outputArg)

subplot(4,1,3)
plot(Tay)

end