. A mining company has two mines. One day's operation at mine #1 producesore that contains 40 metric tons of copper and 600 kilograms of silver, whileone day's operation of mine#2 produces ore that contains 50 metric tons of50copper and 580 kilograms of silver. Let v₁ = [400] and v₂ = [5]. Thenv₁ and 1₂ represent the "output per day" of mine #1 and mine#2,respectively. Complete parts (a) through (c).(a) What physical interpretation can be given to the vector 2v₁ ?O A. It is the output of copper at mine#1 after 2 days of operation.o B. It is the output at mine# 2 after two days of operation.o C. It is the output of silver at mine#1 after 2 days of operation.o D. It is the output at mine #1 after 2 days of operation.(b) Suppose the company operates mine#1 for x₁ days and mine #2 forx₂ days. Write a vector equation in terms of v₁ and v₂ whose solutiongives the number of days each mine should operate in order to produce276 tons of copper and 3528 kilograms of silver. Do not solve the equation._v₁ + _______v₂ =(Write an integer or decimal for each matrix element) Solve the equation in (b).The company operates mine #1 for(Round to the nearest tenth as needed.)The company operates mine #2 for(1) o days.o kilograms.O metric tons.(2) o metric tons.o kilograms.o days._(1).(2).

When a scalar is multiplied to a matrix, it is multiplied to each entry of the matrix. A system of…

Answered: A mining company has two mines. One…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A cyclist takes 4 hours to travel from Town A to Town B. The cyclist's average speed for the first hour is half the cyclist's average speed for the second hour, and the cyclist's average speed for the first two hours is equal to twice the cyclist's average speed for the last two hours. If the cyclist traveled at an average speed of 9 miles per hour for the 4-hour trip, what was the cyclist's average speed, in miles per hour, during the first hour of the trip? 16 0000
Two bicyclists, 42 miles apart, begin riding towards each other along a long straight avenue. One cyclists travels 15 miles per hour and the other 27 miles per hour. At the same time Spot (a greyhound), starting at one cyclist, runs back and forth the two cyclists as the cycle toward each other. If Spot runs 38 miles per hour and turns instantly at each cyclist, how many miles has he run when the cyclists meet? a. 42 miles b. 15 miles c. 38 miles d. 27 miles
I am a brazen lion, a fountain; my spouts are my two eyes, my mouth, and the flat of my right foot. My right eye fills a jar in two days [1 day = 12 hours], my left eye in three, and my foot in four; my mouth is capable of filling it in six hours. Tell me how long all four together will take to fill it.
A small town has two local high schools. High School A currently has 60o students and is projected to grow by 65 students each year. High School B currently has 950 students and is projected to grow by 30 students each year. Let A represent the number of students in High School A in t years, and let B represent the number of students in High School B after t years. Write an equation for each situation, in terms of t, and determine after how many years, t, the number of students in both high schools would be the same. A = В - Answer:
A mining company has two mines. One day's operation at mine #1 produces ore that contains 10 metric tons of copper and 590 kilograms of silver, while one day's operation at mine 10 and V₂ = #2 produces ore that contains 20 metric tons of copper and 550 kilograms of silver. Let v₁ 20 550 Then v₁ and v₂ represent the "output per day" of mine #1 and 590 mine #2, respectively. Complete parts (a) through (c) below. a. What physical interpretation can be given to the vector 2v₁? O A. It is the output of copper at mine #1 after 2 days of operation. B. It is the output at mine #1 after 2 days of operation. O C. It is the output at mine #2 after 2 days of operation. OD. It is the output of silver at mine #1 after 2 days of operation. C... b. Suppose the company operates mine #1 for x₁ days and mine #2 for x₂ days. Write a vector equation in terms of v₁ and v₂ whose solution gives the number of days each mine should operate in order to produce 72 tons of copper and 2610 kilograms of silver. Do…
A clock manufacturer's fixed costs per month are $8000. The unit cost for each clock is $15. Find the number of clocks made during a month in which the total cost was $38,000. Use the formula T = UN + F, where T is the total cost, U is the cost per unit, N is the number of units made, and F is the fixed costs.
A chemical manufacturer wants to lease a fleet of 24 railroad tank cars with a combined carrying capacity of 420,000 gallons. Tank cars with three different carrying capacities are available: 7,000 gallons, 14,000 gallons, and 28,000 gallons. How many of each type of tank car should be leased? Let x, be the number of cars with a 7,000 gallon capacity, x₂ be the number of cars with a 14,000 gallon capacity, and x3 be the number of cars with a 28,000 gallon capacity. Select the correct choice below and fill in the answer boxes within your choice. O A. The unique solution is x₁ = X₂ , and x3 = (Simplify your answers.) O B. There are multiple possible combinations of how the tank cars should be leased. The combinations are obtained from the equations x₁ = (Simplify your answers. Type integers or simplified fractions.) O C. There is no solution. t+( x₂ = t+ and x3 = t for sts
A company produces widgets at plants 1 and 2. It costs 125x1y2 dollars to produce x units at plant 1 and 235x1y3 dollars to produce x units at plant 2.Each plant can produce up to 500 units. Each unit produced can be sold for $10. At most 800 widgets can be sold. Determine how -the company canmaximize its profit.

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