Help the builders determine the longest piece of lumber that can be carried around a turn (construction site) ➤ Builders are carrying materials to their construction site. To reach the site, they need to go through a 10 feet wide alley that narrows down to 8 feet wide after a right-angled turn. What is the longest piece of lumber that can be carried around the turn in the alleyway?
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- • A circuit consists of a 12 V battery connected across a single resistor. If the current in the circuit is 3 A, calculate the size of the resistor. If a small appliance is rated at a current of 10 amps and a voltage of 120 volts, the power rating would be?.Python Knapsack Problem: imagine you are carrying a knapsack with capacity to hold a total of weight C. You are selecting among n items with values A={a_1, a_2, ... , a_n} and associated weights W={w_1, w_2, ... , w_n}. Here the weights and values are all positive. You wish to maximize the total value of the items you select not exceeding the given weight capacity, example, maximize sum_{a in A} such that sum_{w in W} <= C. Note that you can only select your items once. Reformulate this as a bottom-up dynamic programming problem as follows. Define K_{i,j} as the highest possible value sum considering items 1 through i and total weight capacity j (j <= C). What is the base case i.e. K_{0,j} for all j and K_{i,0} for all i. What is the loop statement?Moon effect. Some people believe that the Moon controls their activities. If the Moon moves from being directly on the opposite side of Earth from you to being directly overhead, by what percentage does (a) the Moon's gravitational pull on you increase and (b) your weight (as measured on a scale) decrease? Assume that the Earth-Moon (center-to-center) distance is 3.82 x 10° m, Earth's radius is 6.37 x 106 m, Moon's mass is 7.36 x 1022 kg, and Earth's mass is 5.98 x 1024 kg. (a) Number 6.89 Units percent (b) Number i 6.8713e-4 Units percent
- 17. A TV screen is measured according to the diagonal of the screen. If a 65-in. TV has a height of 33 in, what is its width?Quadratic Root Solver For a general quadratic equation y = ax? + bx + c, the roots can be classified into three categories depending upon the value of the discriminant which is given by b2 - 4ac First, if the discriminant is equal to 0, there is only one real root. Then, if the discriminant is a positive value, there are two roots which are real and unequal. The roots can be computed as follows: -b+ Vb? – 4ac 2a Further, if the discriminant is a negative value, then there are two imaginary roots. In this case, the roots are given by b ь? - 4ас 2a 2a Programming tasks: A text file, coeff.txt has the following information: coeff.txt 3 4 4 4 1 4 Each line represents the values of a, b and c, for a quadratic equation. Write a program that read these coefficient values, calculate the roots of each quadratic equation, and display the results. Your program should perform the following tasks: • Check if the file is successfully opened before reading • Use loop to read the file from main…Required: Amitabh had a magical cat. That cat once fell down an empty well. As the walls of the well were not completely vertical, the cat could climb up the well. In one day, the cat can climb 1 unit height and the height of the well is h units. The cat starts at the bottom. Every day, a cat would divide into 2 cats. One of them would climb up 1 unit. The other would wait for help. But while waiting it would fall asleep and roll down 1 unit, unless it is already at the bottom, in which case it just remains there. When a cat would reach the top, it would run home toAmitabh. (Schrodinger doesn't know that some of the cats are in a well and so he can't rescue them). It has been d days since the cat fell into the well. How many cats would come out of the well today? You would notice that the number of cats grows very large with each passing day, so output the answer modulo 10^9+7. d = 0 means that the cat has fallen just now and so there's just one cat at the bottom of the well. So you…
- Context: Measuring Air Quality Levels of various air borne pollutants such as Nitrogen Monoxide (NO), Nitrogen Dioxide (NO2) and particulate matter (also called particle pollution) are all major contributors to the measure of overall air quality. For instance, NO2 is measured using micrograms in each cubic metre of air (㎍/m3). A microgram (㎍) is one millionth of a gram. A concentration of 1 ㎍/m3 means that one cubic metre of air contains one microgram of pollutant. To protect our health, the UK Government sets two air quality objectives for NO2 in their Air Quality Strategy The hourly objective, which is the concentration of NO2 in the air, averaged over a period of one hour. The annual objective, which is the concentration of NO2 in the air, averaged over a period of a year. The following table shows the colour encoding and the levels for Objective 1 above, the mean hourly ratio, adopted in the UK. Index 1 2 3 4 5 6 7 8 9 10 Band Low Low Low Moderate Moderate Moderate High…Computer Science Investing in stocks is a way to create assets that are supposed to provide financial security over time. In solving this problem, we assume that an investor buys several shares of stock at a certain price. These shares are going to be sold later on for a different price. Obviously, if the selling price is higher than the acquisition price, the investor makes a profit, registering capital gain. If the shares are sold at a lower price, the investor has a loss, which marks a negative capital gain. This whole process is done over a period of time, and you are required to create a scenario for buying and selling shares. The assumption is that the investor sells shares in the order in which they were purchased. The goal is to calculate the capital gain over time. Suppose that you buy n shares of stock or mutual fund for d dollars each. Later, you sell some of these shares. If the sale price exceeds the purchase price, you have made a profit—a capital gain. On the other…Assignment problem (Hungarian Method) · Example 2: A construction company has four large bulldozers located at four different garages. The bulldozers are to be moved to four different construction sites. The distances in miles between the bulldozers and the construction sites %3D are given below. Bulldozer/ A В C D Site Students 1 90 75 75 80 solve it yourself 2 35 85 55 65 3 125 95 90 105 4 45 110 95 115 How should the bulldozers be moved to the construction sites in order to minimize the total distance traveled?
- Correct answer will be upvoted else downvoted. Computer science. At whatever point a robot arrives at a divider, it pivots right away and proceeds with his ride the other way with a similar speed. At whatever point a few robots meet at a similar integer organize, they impact and detonate into dust. When a robot has detonated, it doesn't slam into some other robot. Note that if a few robots meet at a non-integer facilitate, nothing occurs. For every robot see whether it at any point detonates and print the hour of blast on the off chance that it occurs and −1 in any case. Input The primary line contains a solitary integer t (1≤t≤1000) — the number of testcases. Then, at that point, the depictions of t testcases follow. The primary line of each testcase contains two integers n and m (1≤n≤3⋅105; 2≤m≤108) — the number of robots and the organize of the right divider. The second line of each testcase contains n integers x1,x2,… ,xn (0<xi<m) — the beginning…Story: Once upon a time a farmer went to a market and purchased a wolf, a goat, and a cabbage. On his way home, the farmer came to the bank of a river and rented a boat. But crossing the river by boat, the farmer could carry only himself and a single one of his purchases: the wolf, the goat, or the cabbage. If left unattended together, the wolf would eat the goat, or the goat would eat the cabbage. Problem: Create a Flowchart and Algorithm of all the possible solutions on how the farmer carry himself and his purchases to the far bank of the river, leaving each purchase intact.You are given an exam with questions numbered 1, 2, 3, . . . , n. Each question i is worth pi points and has a frustration score fi . You must answer the questions in order, but you may choose to skip some questions. The reason you might choose to do this is that even though you can solve any individual question i and obtain the ???? points, some questions are so frustrating that after solving them you will be unable to solve any of the following fi questions. Suppose that you are given the pi and fi values for all the questions as input. Devise an efficient algorithm you can for choosing a set of questions to answer that maximizes your total points, and compute its asymptotic worst case running time as a function of n.