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![Write the sum as a product:
\[
\cos(24.7q) + \cos(3.1q) =
\]
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- A group of 260 elementary school students and 35 adults are going on a field trip. They are planning to use two different types of buses to get to the destination. The first type of bus holds 40 people and the second type of bus holds 55 people. Andre says that 4 of the first type of bus and 3 of the second type of bus will hold all of the students and adults going on the field trip. Is Andre correct? Explain your reasoning.I need help with this problem please! You are thinking of making your home more energy efficient by replacing some of the light bulbs with compact fluorescent bulbs and insulating part or all of your exterior walls. Each compact fluorescent light bulb costs $4 and saves you an average of $2 per year in energy costs, and each square foot of wall insulation costs $1 and saves you an average of $0.20 per year in energy costs.† Your home has 70 light fittings and 1,300 square feet of uninsulated exterior wall. You can spend no more than $1,400 and would like to save as much per year in energy costs as possible. How many compact fluorescent light bulbs and how many square feet of insulation should you purchase? (If an answer does not exist, enter DNE.) compact fluorescent light bulbs bulb sinsulation sq ft How much will you save in energy costs per year? $ben and harry are friends who both enjoy fishing. One day they begin discussing the quantity of fish in two different lakes that they frequently visit. Based on their experience in fishing in the two lakes, they decide that the two lakes are equivalent in terms of the number of fish. A researcher overhears their conversation and decides to test their conclusion. Using advanced sonar sensing, the researcher counts the actual number of fish in each lake. The researcher finds that one lake has substantially more fish than the other lake does. Assuming that the findings of the researcher reflect the population truth about the two lakes, what type of error did ben and harry make in their judgment – Type I or Type II error? Explain
- Just the last three questions (5,6 and 7).A psychologist would like to examine how the rate of presentation affects people’s ability to memorize a list of words. A list of 20 words is prepared. For one group of participants the list is presented at the rate of one word every 1/2 second. The next group gets one word every second. The third group has one word every 2 seconds, and the fourth group has one word every 3 seconds. After the list is presented, the psychologist asks each person to recall the entire list. The dependent variable is the number of errors in recall. The data from this experiment are as follows: 1/2 Second 1 Second 2 Seconds 3 Seconds 4 0 3 0 6 2 1 2 2 2 2 1 4 0 2…A farmer in Georgia has a 200-acre farm on which to plant watermelons and cantaloupes. Every acre planted with watermelons requires 50 gallons of water per day. Each acre planted with watermelons must also be prepared for planting with 20 pounds of fertilizer. Every acre planted with cantaloupes requires 75 gallons of water per day. Each acre planted with cantaloupes must also be prepared for planting with 15 pounds of fertilizer. The farmer estimates that it will take 2 hours of labor to harvest each acre planted with watermelons and 2.5 hours to harvest each acre planted with cantaloupes. He believes that watermelons will sell for about $3 each, and cantaloupes will sell for about $1 each. Every acre planted with watermelons is expected to yield 90 salable units. Every acre planted with cantaloupes is expected to yield 300 salable units. The farmer can pump about 14,000 gallons of water per day for irrigation purposes from a shallow well. He can buy as much fertilizer as he needs at…
- I don't know how to accurately answer this question. I have followed the steps and have gotten 3 different answers each time. I am not sure which step I am missing or messing up on. I don't know if I am using the wrong formula but I would appreciate as much help as possible by guiding me through each step. Thank you so much.Professor Gill has taught General Psychology for many years. During the semester, she gives three multiple-choice exams, each worth 100 points. At the end of the course, Dr. Gill gives a comprehensive final worth 200 points. Let x1, x2, and x3 represent a student's scores on exams 1, 2, and 3, respectively. Let x4 represent the student's score on the final exam. Last semester Dr. Gill had 25 students in her class. The student exam scores are shown below. x1 x2 x3 x4 73 80 75 152 93 88 93 185 89 91 90 180 96 98 100 196 73 66 70 142 53 46 55 101 69 74 77 149 47 56 60 115 87 79 90 175 79 70 88 164 69 70 73 141 70 65 74 141 93 95 91 184 79 80 73 152 70 73 78 148 93 89 96 192 78 75 68 147 81 90 93 183 88 92 86 177 78 83 77 159 82 86 90 177 86 82 89 175 78 83 85 175 76 83 71 149 96 93 95 192 a) Perform a regression analysis with x4 as the response variable. Use x1, x2, and x3 as explanatory variables. Look at the coefficient of…It’s that time of year again when Grandma Kim is having a fundraiser for the church. Everyone is bringing something to sell and I am bringing brownies, cookies, and muffins. Each brownie contains 2 teaspoons of milk, 2 ounces of flour and 4 ounces of sugar. Each cookie contains 1.5 teaspoons of milk, 1 ounce of flour, and 3 ounces of sugar. Each muffin contains 1 teaspoon of milk, 2 ounces of flour, and 1.25 ounces of sugar. Currently, I have 48 teaspoons of milk, 81 ounces of flour, and 80 ounces of sugar. Then, each brownie is on sell for $5.00, each cookie is on sell for $3.00 and each muffin is on sell for $2.50. What is the maximum profit that will be made for the fundraiser? To find the solution pivot.
- hi ! i’m a neurodivergent student and i’m having trouble with this question .6. please help help!! Answer with step by step well explained: On Cybertron, we manufacture Autobots, produce energy and extract metals. • To produce a unit of Autobots, we need 0.6 units of energy and 0.8 units of metals. • To produce a unit of energy, we need 0.1 unit of Autobots, and 0.1 unit of energy. • To produce a unit of metal, we need 0.1 unit of Autobots, 0.2 unit of energy, and 0.1 unit of metals. In a production cycle, we export 6,500 units of Autobots (sent to the Great War) but have to import 4,100 units of energy and 2,000 units of metals (both obtained from other planets). • a) Identify the variables. • b) Give the system of linear equations that connects these variables with the Leontief model. • c) Give the augmented matrix for this problem that will be used to calculate the production levels of the three sectors. • d) Calculate the level of production of the third sector only (here metal).Henry Lee is the Vice President of Purchasing for the consumer electronics division of the Major Electric Corporation (MEC). The company recently introduced a new type of video camcorder that has taken the market by storm. Although Henry is pleased with the strong demand for this product in the market place, it has been a challenge to keep up with MEC's distributors' orders of this camcorder. His current challenge is how to meet requests from MEC's major distributors in Pittsburgh, Denver, Baltimore, and Houston who have placed orders of 10,000, 20,000, 30,000, and 25,000 units, respectively, for delivery in 2 months (there is a 1-month manufacturing and one-month shipping lead time for this product). MEC has contracts with companies in Hong Kong, Korea, and Singapore who manufacture camcorders for the company under the MEC label. These contracts require MEC to order a specified minimum number of units each month at a guaranteed per unit cost. The contracts also specify the maximum…
