Q and A for the topic: General

What is the probability that when rolling two dice, the product of the numbers is at least 2?

Formal proof for Proposition 3.38 (Equivalence of a set of formulas and their clausal forms) A set of formulas U is equivalent to the set of clauses comprising the union of the clausal forms of the formulas in U . Please use existing theorems to answer the formal logic problem.

3. Inside a cubic box with edge 35 cm, a ball has been introduced that is tangent to the faces of the cube as shown in the following figure. Calculate the volume included by the free space in the cube-shaped box.

Find the work done in raising a mass of 50,000 kg from the surface of the Moon to a height of 200 km. (Check in Zill in the Applications Topic of the integral, mechanical work, work done against gravity)

Obtain the derivative of the following function: f(x)=(2e^4x)/(√x)

Let x be a continuous random variable that follows a normal distribution with a mean of 240 and a standard deviation of 51. Find the value of x so that the area under the normal curve to the right of x is approximately 0.3512. Round your answer to two decimal places

What the formula for critical value?

A car company estimates that it will sell 5,000 cars in 2023 and over the next 10 years will increase sales by 5% compared to the previous year. Determine how many cars the company intends to sell in that 11-year period.

3x^2-5x+2=0

Consider that the fixed costs of a startup are 35,476.00 and that you want to have a profit margin of 20%, and the estimated number of subscribers is only 100 in the first month. The product of this platform is a digital platform, which offers a free plan and a plan with a monthly subscription of R$20.00, with psychological care services for R$70.00 and professional training for R$120.00 (in two services are retained a 10% fee by the platform) in addition to basic level e-books R$15.00, advanced R$40.00 and complete R$80.00. The platform hires professionals based on partnerships. How to calculate the number of psychologists and professional training content providers the platform needs to close to obtain the desired profit margin

When purchasing a car and 3 documents worth $15,000 will be paid each to be paid in months 2, 4 and 6. If you wish to pay in 2 installments equal, in months 4 and 8. What should be the amount of these payments? Consider that money changes at a rate of 35% compounded semiannually monthly.

Exercise 2 For a debt to be settled of $12,000, determine the value equivalent of 3 monthly payments due. The interest rate is 30% annual compounded monthly.

What is the exact value of sin 60°? Enter your answer as a fraction in simplest form by filling in the boxes.

x +x+y+1=1

A 100 ohm resistor is connected to a voltage of 230 V for 2 h. Calculate the heat produced

2.- Find the equation of the ellipse whose foci are F(0, 3/2) and F'(0, - 3/2) and such that the sum of the distances of the points on it to the foci is 5, in Spanish

CIF CONTROL SEATS Andean Coffee, whose plant is located in the city of Abrego, Norte de Santander, applies its costs with the following rates: Coffee bean distribution plant Direct labor hours Department Application Rate Department Actual Hours Drying $ 12,245.00 Drying 12,008 Toasted $23,858.00 Toasted 17,380 Packaged $3,357.50 Packaged 3,476 Total real CIF $ 573,547,900.00 Cost management can calculate and account for: CIF applied real CIF CIF closure (take into account under- and over-applications)

24-2/24

What is the equivalent (compounded) quarterly rate referring to 7.24% per year?

What is the mathematical relationship between F and D²?