The entrance of a rehabilitation center is at the elevation of 1.0 m and has a wheelchair ramp that is inclined 30 degrees relative to the horizontal. The mass of an average patient and the accompanying wheelchair is 110 kg, and the coefficient of static friction μs between the wheelchair wheels and the ramp is 0.60. Each wheel of the wheelchair has a mass of 3.0 kg and a radius of 0.40 m and can be modeled as a hoop rotating about its center. For the purposes of the following questions use g = 10 m/s2.

1.A patient applies the wheelchair brake on the ramp. In what direction does the force of friction point?
   The force of friction is zero.
   Perpendicular to the surface of the ramp
   Down the ramp
   Up the ramp

2. A patient applies the wheelchair brake on the ramp. When the brake is applied, the wheels are not blocked completely and they rotate relative to the chair with the patient and assume that the forces exerted by the brake on the wheels cause the wheels to be on the verge of slipping. What is the magnitude of the force of friction between the ramp and the wheelchair wheels?

3. A patient loses control of his wheelchair at the top of the ramp and rolls down without slipping. What is his speed at the bottom of the ramp? The patient does not apply brakes when he moves down the ramp.

4. When braking on the ramp, what is the magnitude of the frictional torque on the center of the wheel? When the brake is applied, the wheels are not blocked completely and they rotate relative to the chair with the patient and assume that the forces exerted by the brake on the wheels cause the wheels to be on the verge of slipping.

5. A patient loses control of his wheelchair at the top of the ramp and rolls down without slipping. What is his acceleration down the ramp? The patient does not apply brakes when he moves down the ramp.

6.How much work must a patient do to ascend the ramp at a constant speed?

The 1.0 kg block in the figure is tied to the wall with a rope. It sits on top of the 2.0 kg block. The lower block is pulled to the right with a tension force of 20 N. The coefficient of kinetic friction at both the lower and upper surfaces of the 2.0 kg block is μk = 0.43.

What is the tension in the rope holding the 1.0 kg block to the wall?

What is the acceleration of the 2.0 kg block?

A 1.0 kg block of ice is initially at a temperature of ?5

Refer to the accompanying data​ table, which shows the amounts of nicotine​ (mg per​ cigarette) in​ king-size cigarettes,​ 100-mm menthol​ cigarettes, and​ 100-mm nonmenthol cigarettes. The​ king-size cigarettes are​ nonfiltered, while the​ 100-mm menthol cigarettes and the​ 100-mm nonmenthol cigarettes are filtered. Use a 0.05 significance level to test the claim that the three categories of cigarettes yield the same mean amount of nicotine. Given that only the​ king-size cigarettes are not​ filtered, do the filters appear to make a​ difference?

A. Determine the null and alternative hypotheses.

B. Find F test statistic

C. Find P value using F test statistic

D. What is the conclusion for this hypothesis test?

E. Do the filters appear to make a difference?

Questions

A.      Use your results to determine if the forward reaction in the potassium chromate/HCl reaction endothermic or exothermic. Explain your answer, using Table 1 to help construct your thoughts.

B.      Write the equation for the equilibrium constant (K) of the reaction studied in this exercise.

2K2Cr4 + 2HCl ------> Cr2o7 + H2O + 2KCl

Use the information below to answer Questions C, D, and E:

The equilibrium constant (K) of the reaction below is K = 6.0 x 10^-2, with initial concentrations as follows: [H₂] = 1.0 x 10^-2 M, [N₂] = 4.0 M, and [NH₃] = 1.0 x 10^-4M.

N2 + 3H2 ------> 2NH3

If the concentration of the reactant H₂ was increased from 1.0 x 10^-2 M to 2.5 x 10^-1M, calculate the reaction quotient (Q) and determine which way the equilibrium position would shift.

If the concentration of the reactant H₂ was decreased from 1.0 x 10^-2 M to 2.7 x 10^-4M, calculate the reaction quotient (Q) and determine which way the equilibrium position would shift.

If the concentration of the product NH₃ was decreased from 1.0 x 10^-4 M to 5.6 x 10^-3M, calculate the reaction quotient (Q) and determine which way the equilibrium position would shift.

The Little Theatre is a nonprofit organization devoted to staging plays for children. The theater has a very small full-time professional administrative staff. Through a special arrangement with the actors’ union, actors and directors rehearse without pay and are paid only for actual performances.

The Little Theatre had tentatively planned to put on five different productions with a total of 50 performances. For example, one of the productions was Peter Rabbit, which had a five-week run with three performances on each weekend. The costs from the current year’s planning budget appear below.

Some of the costs vary with the number of productions, some with the number of performances, and some are fixed and depend on neither the number of productions nor the number of performances. The costs of scenery, costumes, props, and publicity vary with the number of productions. It doesn’t make any difference how many times Peter Rabbit is performed, the cost of the scenery is the same. Likewise, the cost of publicizing a play with posters and radio commercials is the same whether there are 10, 20, or 30 performances of the play. On the other hand, the wages of the actors, directors, stagehands, ticket booth personnel, and ushers vary with the number of performances. The greater the number of performances, the higher the wage costs will be. Similarly, the costs of renting the hall and printing the programs will vary with the number of performances. Administrative expenses are more difficult to pin down, but the best estimate is that approximately 65% of the budgeted costs are fixed, 20% depend on the number of productions staged, and the remaining 15% depend on the number of performances.

After the beginning of the year, the board of directors of the theater authorized expanding the theater’s program to four productions and a total of 54 performances. Not surprisingly, actual costs were considerably higher than the costs from the planning budget. (Grants from donors and ticket sales were also correspondingly higher, but are not shown here.) Data concerning the actual costs appear below:

Required:

1. Prepare a flexible budget performance report for the year that shows both spending variances and activity variances. (Indicate the effect of each variance by selecting "F" for favorable, "U" for unfavorable, and "None" for no effect (i.e., zero variance). Input all amounts as positive values.)

The owner of a movie theater company would like to predict weekly gross revenue as a function of advertising expenditures. Historical data for a sample of eight weeks follow.

(a)

Use α = 0.01 to test the hypotheses

for the model

y = β₀ + β₁x₁ + β₂x₂ + ε,

where

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to three decimal places.)

p-value =

State your conclusion.

Reject H₀. There is insufficient evidence to conclude that there is a significant relationship among the variables

Do not reject H₀. There is sufficient evidence to conclude that there is a significant relationship among the variables.    

Do not reject H₀. There is insufficient evidence to conclude that there is a significant relationship among the variables.

Reject H₀. There is sufficient evidence to conclude that there is a significant relationship among the variables.

(b)

Use α = 0.05 to test the significance of

β₁.

State the null and alternative hypotheses.

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to three decimal places.)

p-value =

State your conclusion.

Reject H₀. There is insufficient evidence to conclude that β₁ is significant.

Reject H₀. There is sufficient evidence to conclude that β₁ is significant.  

Do not reject H₀. There is insufficient evidence to conclude that β₁ is significant.

Do not reject H₀. There is sufficient evidence to conclude that β₁ is significant.

Should x₁ be dropped from the model? Yes or No?

(c)

Use α = 0.05 to test the significance of

β₂.

State the null and alternative hypotheses.

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to three decimal places.)

p-value =

State your conclusion.

Do not reject H₀. There is insufficient evidence to conclude that β₂ is significant.

Reject H₀. There is sufficient evidence to conclude that β₂ is significant.    

Reject H₀. There is insufficient evidence to conclude that β₂ is significant.

Do not reject H₀. There is sufficient evidence to conclude that β₂ is significant.

Should x₂ be dropped from the model?Yes or No ?  

Given numRows and numColumns, print a list of all seats in a theater. Rows are numbered, columns lettered, as in 1A or 3E. Print a space after each seat, including after the last. Use separate print statements to print the row and column. Ex: numRows = 2 and numColumns = 3 prints:

1A 1B 1C 2A 2B 2C

import java.util.Scanner;
public class NestedLoops {
   public static void main (String [] args) {
      Scanner scnr = new Scanner(System.in);
      int numRows;
      int numColumns;
      int currentRow;
      int currentColumn;
      char currentColumnLetter;

      numRows = scnr.nextInt();
      numColumns = scnr.nextInt();

      /* Your solution goes here */

      System.out.println("");
   }
}

Tan Rocks, an outdoor theater, has suspended their dividend to conserve capital for the rest of their fiscal year (May 1 to May 1) since they do not anticipate being open this summer. Management is assuming the Covid19 effects will continue for each of the next two seasons as well before returning to normal. As such they estimate next year’s dividend to be $1 per share (2021) and it will increase to $1.50 a share the following year (2022). The dividend will return to $2.50 a share in 2023. If the dividend’s historical growth of 3 percent a year returns to normal after 2023 and the required rate of return on the stock of Tan Rocks is 10 percent, what should be their current stock value be based on these assumptions and projections?

Please explain work clearly, thanks

The owner of a movie theater company would like to predict weekly gross revenue as a function of advertising expenditures. Historical data for a sample of eight weeks follow.

(a)

Use α = 0.01 to test the hypotheses

for the model

y = β₀ + β₁x₁ + β₂x₂ + ε,

where

(A) Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to three decimal places.)

p-value =

(B) Find the value of the test statistic. (Round your answer to two decimals places.)

p-value=

(C) Find the value of the test statistic. (Round your answer to two decimals places.)

p-value=