1. Janet wants to put a wallpaper border around her rectangular kitchen. The room is 12 by 20 feet a. What is the total length of wallpaper border she needs? b. If the wallpaper border comes in packages of 12 feet, how many packages must she buy? c If the packages are priced at $11.87 each, what will be the total cost of the wallpaper? a. What is the total length of wallpaper border needed? feet (Simplify your answer.) b....
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You have 120 yards of fencing and you need to enclose a rectangular area as shown. You want two pens to separate your goat and horse. To save money, you decide to use the corner of your house for two sides of the area so you only need fencing for the remaining two sides. You desire to enclose the largest possible area. Wall Wall x (So the fencing is represented by the red lines in the image.)...
i need help with number 3&4 and the answer is in red i
just need to know how to work the problem
(a) y (b) y=-x3 + 6x2-9x + 3 2. The sum of two nonnegative numbers is 36 (a) Find the two numbers if the differ ence of their square roots is to be as large as possible. 0 and 36 (b) Find the two numbers if the sum of their square roots is to be as large as...
Show work please
Optimization problems 1. (5 points) Find two nonnegative numbers whose sum is 25 and so that the product of one number and the square of the other number is a maximum. 2. (5 points) Build a rectangular pen with two parallel partitions using 300 feet of fencing. What dimensions will maximize the total area of the pen? (5 points) An open rectangular box with square base is to be made from 48 ft.2 of material. What dimensions...
Five Keys Charter School. Practice Packet Geometry 3 Advanced Question! Janine is planning on creating a water-based centerpiece for each of the 30 tables at her wedding reception. She has already purchased a cylindrical vase for each table. The radius of each vase is 6 cm and the height is 28 cm. She intends to fill them half way with water and then add a variety of colored marbles until the waterline is approximately three-quarters of the way up the...
Please answer the questions using MATLAB
Exercise 1 Dimensions of the Largest Box An open bols to be made rom ฮ rectangular poce of cardboard measuring 8 x48. The box s made by cutting o ual squares rom cach of its 4 corners and turning up the sides. Suggestion: you can try making one yourself with of paper) spare piece u8. 1. Let x be the side of a square removed from each corner. Express the volume v of the...
3. Suppose a firm competing in a perfectly competitve market uses machines (K) and workers (L) to produce containers of nails. Their production technology is given by q = (K)3 (L)3 . Suppose the firm already has 27 machines, the cost of people is w = $12 and each container of nails sell for P = $12. (a) Set up the firm’s problem. What time frame is being examined here? How many workers does the firm hire? How much does...
just put circle around the correct answer
Chapter 3 Introduction to Logic Gates Questions 1. How many 2-input AND gate required to construct a 5-input AND gate? a) 2 b) 3 d) 4 c) 5 e) noпe Which is better for a 4-input OR gate. The connection of A or B, Fig(13), why? 2. a) A b) B 3. If only 2-input OR gates are available, what is minimum gate level possible to implement an 8-input OR gate 2 a)...
Pólya's Principle Step 1: Understand the Problem 1. Describe in detail what you understand the problem to be. In other words, what problem will you need to solve? Is there enough information to enable you to find a solution to your problem? Show your work here: (10 points) 2. Discuss different ways to construct the room that will be painted. Are there any restrictions on where the window and door will be located? Will the overall amount of paint that...
Suppose your friend April is considering to refinance her mortgage. She bought her house 60 months ago. The amount of loan equals 154,00. She paid cash to cover the 5% down payment plus all required closing costs (closing costs include application fee, appraisal fee, loan origination fees and other costs, usually about 3%-5% of the loan amount). Since she had a decent credit history and relatively stable income, her mortgage rate was 5.25% for 30 years at the time of...