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When dissolved sodium hydroxide reacts with sulfuric acid, aqueous sodium sulfate, water, and heat are formed.

When isopropanol (C3H80) burns in oxygen, carbon dioxide, water and heat are produced.


Create a simple Python Program about concert ticketing system that allows users who are 18 years old to buy tickets. The ticket prices are as follows.




VIP- 4,500




Patron- 3500




Box regular- 2500





1. A carbon wire with a 3 mm diameter has a resistance of 100 ohms. How long is the wire?






2. A 200 m long aluminum wire has the same resistance and cross sectional area as a carbon wire. What is the length of the carbon wire?






3. A wire made of an unknown substance has a resistance of 125 mΩ. The wire has a length of 1.8m and a cross-sectional area of 2.35 x 10^-5 m^2. What is the resistivity of the substance from which the wire is made? Give your answer in scientific notation to one dicimal place.

A firm's product sells for $4 per unit in a highly competitive market. The firm produces output using capital (which it rents at $25 per hour) and labor (which is paid a wage of $30 per hour under a contract for 20 hours of labor services). Complete

the following table and use that information to answer these questions. (LOI, LO2,

LO5, LO6)


a. Identify the fixed and variable inputs.

b. What are the firm's fixed costs?

c. What is the variable cost of producing 475 units of output?

d. How many units of the variable input should be used to maximize profits?

e. What are the maximum profits this firm can earn?

f. Over what range of the variable input usage do increasing marginal returns exist?

8. Over what range of the variable input usage do decreasing marginal returns exist?

h. Over what range of input usage do negative marginal returns exist?


In order to get his car out of the mud, a man ties one end of a rope to the front bumper and

the other end to a tree 15 m away, as shown below. He then pulls on the center of the rope

with a force of 400 N, which causes its center to be displaced 0.30 m, as shown. What is the

force of the rope on the car?


Salt is often used to melt ice and snow on roads in the winter and the temperature right now is - 4.500°C. How much NaCl ( complete dissociation) would be necessary to melt 1000kg of ice by bringing down the freezing temperature to 4.500°C?

1. Construct the sample space of an experiment of tossing three unbiased coins. Determine its discrete probability distribution.




2. Construct a discrete probability distribution for a basketball team's probability of winning in 4 consecutive games.

Given the population of numbers 3,6,8,9 and 4. Suppose samples of size 3 are drawn from this population.



Construct the sampling distribution of sample means.

1. A carbon wire with a 3 mm diameter has a resistance of 100 ohms. How long is the wire?


2. A 200 m long aluminum wire has the same resistance and cross sectional area as a carbon wire. What is the length of the carbon wire?


3. A wire made of an unknown substance has a resistance of 125 mΩ. The wire has a length of 1.8m and a cross-sectional area of 2.35 x 10^-5 m^2. What is the resistivity of the substance from which the wire is made? Give your answer in scientific notation to one dicimal place.

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