Q and A for the topic: General

the equation of the line that passes through point A (4, -6) and forms an angle of 45º with the positive x axis is:

Find the equation of the line that passes through the centers of the circle C1: x raised 2 + y raised 2 = 4 and C2: x raised 2 + y raised 2 + 6x -2y = 0

Find the lowest common denominator (LCD) in the following group of fractions: 10/12 1/3 1/4

1+12

At the beginning of the year a company had $128,000 of liabilities. During the year assets increased by $168,000 and at year-end the assets equaled $384000. Liabilities decreased $28,000 during the year. Calculate the beginning and ending values of equity.

At the beginning of the year a company had $128,000 of liabilities. During the year, assets increased by $168000 and at year-end the assets equaled $384000. Liabilities decreased $28,000 during the year. Calculate the beginning and ending values of equity.

Exercise No. 1 (50 points) Suppose an economy in which the sensitivity of money demand tends to infinity. Draw a graph of the implementation of a contractionary fiscal policy and explain the result obtained in a maximum of 5 rows. Indicators / Levels of achievement Achieved Moderately achieved Not achieved Explanation Explain correctly considering the cause-effect relationship (15 points) Correctly explains that there are 2 errors in the cause-effect relationship. (6 points) Does not explain correctly and does not take into account the cause effect relationship (0 points) Variables Identifies all the variables involved in the process. (10 points) Identify a process variable (5 points) Does not identify all the variables involved in the process (0 points) Chart Make the chart incorporating all the model variables (25 points) Create the graph incorporating only two variables of the model (12 points) Make a graph with the incorrect variables (0 points) Exercise No. 2 (50 points) A) In a maximum of 5 lines, explain in your own words the difference between a nominal and a real appreciation in the exchange rate. B) Does the final result in the Trade Balance differ between a nominal and a real appreciation? Indicators / Levels of achievement Achieved Moderately achieved Not achieved Explanation The differences between both are correctly verified. Appreciations: (25 points) One of the two assessments is correctly verified (12 points) The differences between both are not correctly verified. Appreciations (0 points) Trade balance Identify the result on the Balance commercial with appreciation nominal and real (25 points) Identify the result in the Trade balance with a type of appreciation (12 points) Does not identify the result in the Trade Balance (0 points)

If I have a 110 Gallon Inductor Full Drain Conical Tank that is 30 inches in diameter and 56 inches in height with a 55 degree angled cone bottom, if the tank is full of water, how do I use calculus to determine how much work is required to pump all of the water over the top of the tank?

IF f(x)= (x+1)^2 then what is f(2x-1)=?

A bank can lend R$25,000.00 at an effective interest rate of 42% per year or use this capital in compound rational discount operations with a term of 90 days. What should be the monthly discount rate applied to a R$20,000.00 invoice, so that the bank has an effective return equal to that obtained on the loan?

Use distributive property to write 2 equivalent expressions modeling each amount: The total cost(before tax) for 5 friends to eat at a fast food restaurant if they each have a sandwich that costs $3.59 and a drink that costs $1.50

Suppose a cleaning products distribution company has three factories (F1, F2, F3) and needs to supply these products to four stores (T1, T2, T3, T4). Each factory has a certain production capacity and each store has a specific demand for products. The objective is to allocate products from factories to stores while minimizing transportation costs. Data: Production capacity of each factory: F1: 100 units F2: 150 units F3: 200 units Demand of each store: T1: 80 units T2: 120 units T3: 150 units T4: 100 units Transportation costs (in $ per unit) between factories and stores: T1 T2 T3 T4 F1 4 6 8 10 F2 5 3 7 11 F3 9 4 5 2 Aim: Minimize total transportation costs by meeting factory production capacity and store demand.

A ball is launched from the ground vertically into the air with a speed of 10 m/s. Calculate the maximum height of the ball.

A ball is launched from the ground vertically into the air with a speed of 10 m/s. Calculate the speed of the ball the moment it returns to the ground.

A rock is thrown vertically at the edge of a cliff 20 m above a river with a speed of 7.5 m/s. Calculate velocity and the distance from the river of the rock at 1.25 seconds after it is thrown.

complete the factorieation of expression which of the following represents the complete factorisation of 2(3x+1)7 - 16x(3x+1)6

930-38.7=

Calculate the length of the day on June 21 and December 21 in Curitiba, whose latitude is approximately 25.5°.

A particle moves with equation of motion f(t) = 40t − 3t2. Find the velocity of the object when t = 4.

What is the Population Variance for the following numbers: 55, 37, 25, 15, 60 Level of difficulty = 1 of 2 Please format to 2 decimal places.