- 1 Condong Understanding Energy Resources antolong bobo Part I: Matrix Operations Different regions within the United States 2 have different energy demands. For example, someone living in Florida likely won't use the same amount of heating in the Category winter as someone living in Minnesota. For Applaces Deco this exercise, we will investigate energy use and costscross 3 different regions. For now, we will assume all energy comes from natural gas. California Maine Texas State 1. Using the graph above, write x 4x3 matrix that shows the average number of hours per day (annual average) each appliance category is used in each region (for a typical household), with the rows representing the appliance category Source: United States Energy Information Administration Hours per day Lier org Weg blood in latta molema 03 dorotilaa gentemo t ap mbaro )nokia 2. In order to calculate the amount of energy in kilowatt-hours (kWh) used in each region, write a matrix containing the amount of energy in kWh used by each appliance category. The energy (kWh) consumed by 1) Air Conditioning. 2) Appliances, Electronics, and Lighting. 3) Space Heating, and 4) Water Heating are 5.38, 0.07, 0.32 and 1.8, respectively. Write a 1 x 4 or 4 x 1 matrix displaying the kWh for each appliance category. Source: United States Enerp Information Administration 3. Using matrix multiplication, calculate the amount of energy (kWh) used in cach region per day for a typical household. Round to the nearest whole number. MATH 1302 College Algebra Lab Activity 9 Provided below is a matrix showing the average amount of energy in kWh consumed by each appliance category in each region per day. Source: United States Energy Information Administration 2.3 Air Conditioning Appliances, Electronics, Lighting Space Heating Water Heating California 0.8 8.2 Maine 9 Texas 16 6 admin 8 Tolabora orribavad vaxt olmamalog 4. The cost of energy, in USD per kilowatt-hour (S/kWh), in California, Maine, and Texas ist $0.19/kWh, $0.18/kWh, and $0.12/kWh, respectively. In order to calculate the amount of money spent on energy per day for each region in a typical houschold, write a 1 x 3 or 3 x 1 matrix . cith displaying the kWh for each appliance category. Source: United States Energy Information Administration moramo v olan Gale 5. Using matrix multiplication, calculate the amount of money spent on energy per day for each region in a typical household in USD ($). 6 Using scalar multiplication, calculate the CO, emissions generated by a typical household per day in each region (calculated in question 3). Using natural gas, approximately 0.57 kg of CO2 are generated per kWh. Source: United States Energy Information Administration Part II: Systems of Inequalities and Linear Programming To meet climate goals discussed in the video, it is recommended that we decrease our carbon footprint by 55% by the year 2030. For a typical American household, this would mean capping daily Co, emissions at 14 kg CO,. In order to meet this CO, emission reduction requirement, you must strategically choose the proportion of hydropower and natural gas energy to purchase for your household with a budget of $4.5 to spend on energy per day. Hydropower from a medium-scale plant costs $0.15/kWh and natural ens energy costs $0.12/kWh. Hydropower energy produces 0.09 kg CO/kWh and natural gas produces osz kg CO /kWh. How can you meet your CO, emissions requirement most economically? If there are two answers, choose the one that involves using both energy sources. Round to the nearest whole numbers Source United States Energy Information Administration Ocean Acidification in the previous lab we studied how the concentration of atmospheric CO2 changes over time. This lab deals with one of the adverse effects of such changes: specifically, how changes in the concentration of atmospheric CO2 can affect the pH of natural waters (e.g. lakes, streams, oceans, soils). Recall, pH is a measure of the acidity of a solution. Chemically, acidity is the concentration of hydronium ions (H,O') in the solution, usually measured in the unit moles per liter. 2022 X 10" The pH scale, ranging from 0 to 14, represents the acidity of a solution. Substances with p are bases, those with pH