Q and A for the topic: General

A candy distributor needs to mix a 40% fat-content chocolate with a 60% fat-content chocolate to create 100 kilograms of a 40% fat-content chocolate. How many kilograms of each kind of chocolate must they use?

Expand, reduce and order: (x+5)2−(x+5)(x+1).

: In a TV filming studio there is Planning the programs to record next month. They commonly record artistic and commercial programs. In On average, an artistic space requires 8 hours of recording, It costs $18,000 and produces an income of $38,000. While a commercial requires 1.6 hours of recording, It costs $8,000 and produces an income of $14,000. The studio management works 10 hours a day and for the Next month you have 26 working days. There is a commitment to record at least 10 spaces artistic. It is also established that the total time spent to commercial does not exceed 40%. Determine: to. Pose the mathematical model. Analyze the reason for these restrictions or limitations. b. Solve the problem using the Simplex method and interpret it.

It takes the driver 0.7 s from the moment the stop signal is observed until the brake is applied. If the car's brakes can achieve a deceleration of 1.5 m/s2, calculate the distance the car will travel from the moment the signal is observed until it stops. The speed of the car before braking was 100 km/h.

a messenger in a company collected an interest free loan of #93,000 from the company which should be withdrawn from his salary in 12 months if #5,000 is withdrawn from the 1st month and the amount to be withdrawn increase each month by equal amount of the preceeding month. How much will be withdrawn from his salary in the last month?

Integrate and graph 3x+2

An architect forgot his measuring equipment and needs to calculate the distance between two buildings from his location at point A. He knows the distances from A to the two buildings, which are 150 m and 220 m, respectively. Additionally, you have information about the angle formed by your current position "A" and the line joining the two buildings, which is 29.4", What is the distance between the two buildings?

Describe a real-life situation that can be modeled by a function (a relation in which every input value corresponds to only one output value). The situation must be different from the examples provided in the reading and in the homework. Identify the input value and the output value of the function, and provide justification that your relation does, in fact, represent a function. 2. Create a function in the form y = f(x) that models the relation described. You may choose variables in place of y or x that better represent the relation, as seen in the provided example. 3. Identify the domain and range of your function, using proper mathematical notation.

Solve and check 10p +9-11p= -2(2p+4)-3(2p-2)

F(x)=3x^2-7x+4

Probability problem: let u1 and u2 be two urns each containing 6 balls identical to the hit such that u1 contain 2 red balls, 3 green, and one black; and u2 2 red balls, one green and 3 black. we draw at random and simultaneously 2 balls from u1 and put them in u2, then we draw two balls at random and simultaneously from u2 which we place in u1. what is the probability that the contents of each ballot box will remain unchanged after that? And what is the probability that the contents of the ballot boxes will be interchanged?

Using trigonometry, determine the maximum height of a ball to the nearest tenth (1 yard= 3ft)

Tessa wants to mix chocolates that cost four dollars per pound with nuts that cost six dollars per pound to make 6 pounds of a mixture that cost $31. How many pounds of each should she include in the mix?

Sugar tooth Candi company needs 300 gallons of a 32% sucrose solution for a certain kind of candy. The company has a solution that is 60% sucrose and a solution that is 25% sucrose how many gallons of each should the company mix together to obtain the desired solution?

Use the FileInputStream class to read the content of any text file. Then, identify the characters present in the file and specify how many times each of them occurs.

102831505159-202740435455-122731385966 all these digits were turned into 158325064 how was it done if the odds are 1:292,201,338 to one?

Use expectations to show that Cov(X,Y) = E(XY) −E(X)E(Y).

A baseball player throws a 0.2 kg ball upward with a speed of 10 m/s. Calculate the kinetic energy and potential energy of the ball when it reaches its maximum height.

a car travels due east with a speed of 30.0 km/h. Rain drops are falling at a constant speed celocity with respect to the earth. The traces of the rain on the side windows of the car make an angle of 42.0 degrees with the vertical. Find the velocity of the rain with respect to the car and the earth. (Enter the magnitude of the velocity.) (a) the car in km/h (B) the Earth in km/h

In an agricultural study, the average amount of corn yield is normally distributed with a mean of 189.3 bushels of corn per acre, with a standard deviation of 23.5 bushels of corn. If a study included 1200 acres, about how many would be expected to yield more than 180 bushels of corn per acre?