The length of nylon rope from which a mountain climber is suspended has a force constant of 1.18 ✕ 10⁴ N/m.

(a)

What is the frequency (in Hz) at which he bounces, given that his mass plus the mass of his equipment is 78.0 kg?

(b)

How much would this rope stretch (in cm) to break the climber's fall if he free-falls 2.00 m before the rope runs out of slack? Hint: Use conservation of energy.

(c)

Repeat both parts of this problem in the situation where twice this length of nylon rope is used.

frequency (in Hz)?

length (in cm)?

A sales manager is interested in determining the relationship between the amount spent on advertising and total sales. the manger collects data for the past  months and runs a regression of sales on advertising expenditures. The results wıth some missing values are presented below.

To test the significance of the regression what is the test statistic value?

Please Give All 3 answer.

Q1) A student was given a sample of crude salicylic acid to recrystallize. The initial mass of the crude acid was 131 mg. The mass after recrystallization was 121 mg. Calculate the percent recovery from recrystallization.

Q2) If 91.0 g of oxalic acid and 79.0 g of methanol react to form 89.0 g of dimethyl oxalate and water, what is the percent yield?

Q3) A student measures out exactly 0.109 g of salicylic acid and runs the experiment as dictated in the lab manual. They obtain 0.101 g of aspirin. What is the percent yield for their reaction?

A company such as Intel has a complex design and manufacturing process. This should lead Intel management to be concerned with scale of production and learning curves.

When do you think managers should be more concerned with large-scale production runs, and when do you think they should be most concerned with practices that would foster or hinder the hiring, training, and retention of key employees?

Describe a firm you think has been highly innovative. Which of the four types of innovation— radical, incremental, disruptive, or architectural— did it use? Did the firm use different types over time?

1. Real heat engines, like the gasoline engine in a car, always have some friction

between their moving parts, although lubricants keep the friction to a minimum. Would a

heat engine with completely frictionless parts be 100% efficient? Why or why not? Does the

answer depend on whether or not the engine runs on the Carnot cycle? Again, why or why

not?

2.Some critics of biological evolution claim that it violates the second law of thermo-

dynamics, since evolution involves simple life forms developing into more complex and more

highly ordered organisms. Explain why this is not a valid arguement against evolution.

The length of nylon rope from which a mountain climber is suspended has a force constant of 1.18 ✕ 10⁴ N/m.

A) What is the frequency (in Hz) at which he bounces, given that his mass plus the mass of his equipment is 78.0 kg?

B) How much would this rope stretch (in cm) to break the climber's fall if he free-falls 2.00 m before the rope runs out of slack? Hint: Use conservation of energy.

C) Repeat both parts of this problem in the situation where twice this length of nylon rope is used.

frequency (in Hz)

stretch length (in cm)

Case Project 3-3: Hardware Overheating The university is having some problems with the desktop computer that runs the Intel Core Duo CPU. The computers will suddenly scramble the display screens and freeze. Because of this, the university wants to stay away from having desktops running any of the Intel CPUs. What would you recommend to address the problem? Research some of the causes of overheating hardware and suggest possible remedies. In addition, what desktop CPUs would you recommend for replacing their older hardware? Provide an explanation for your recommendation and what the university should do in the future.

9. #include <fstream>
#include <iostream>
using namespace std;

int main()
{
    float bmi;
    ifstream inFile;
    inFile.open("bmi.txt");

    while (!inFile.eof())
      {
         inFile >> bmi;
         if( bmi < 18.5)
          {
              cout << bmi << " is underweight " ;
          }
        else if( bmi >= 18.5 && bmi <= 24.9)
          {
              cout << bmi << " is in normal range " ;
          }
        else if( bmi >= 25.0 && bmi <= 29.9)
          {
              cout << bmi << " is overweight " ;
          }
        else if( bmi >= 30)
          {
              cout << bmi << " is obese " ;
          }
        cout << endl;
     }
   return 0;
}

bmi.txt looks like below:

25.0

17.3

23.1

37.0

What will be the output when the above code runs with the above bmi.txt file.

A box in a supply room contains 19 compact fluorescent lightbulbs, of which 7 are rated 13-watt, 8 are rated 18-watt, and 4 are rated 23-watt. Suppose that three of these bulbs are randomly selected. (Round your answers to three decimal places.)

(a) What is the probability that exactly two of the selected bulbs are rated 23-watt?


(b) What is the probability that all three of the bulbs have the same rating?


(c) What is the probability that one bulb of each type is selected?


(d) If bulbs are selected one by one until a 23-watt bulb is obtained, what is the probability that it is necessary to examine at least 6 bulbs?

Try the following exercises to better understand how the national debt is related to the government budget deficit.

1. Assume that the gross national debt initially is equal to $3 trillion and the federal government then runs a deficit of $300 billion:

a. What is the new level of gross national debt?

b. If 100 percent of the deficit is financed by the sale of securities to federal agencies, what happens to the amount of debt held by the public? What happens to the level of gross debt?

c. If GDP increased by 5 percent in the same year that the deficit is run, what happens to gross debt as a percentage of GDP? What happens to the level of debt held by the public as a percentage of GDP? (You will need to figure out which is growing faster, GDP or the gross debt, and then GDP and debt held by the public. If gross debt is growing faster than GDP, then gross debt as a percentage of GDP will increase.)

2. Now suppose that the gross national debt initially is equal to $2.5 trillion and the federal government then runs a deficit of $100 billion:

a. What is the new level of gross national debt?

b. If 100 percent of the deficit is financed by the sale of securities to the public, what happens to the level of debt held by the public? What happens to the level of gross debt?

c. If GDP increases by 6 percent in the same year as the deficit is run, what happens to gross debt as a percentage of GDP?  (You will need to figure out which is growing faster, GDP or the gross debt. If gross debt is growing faster than GDP, then gross debt as a percentage of GDP will increase.)