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The wifi password of an Institute has 4 digits. When a student requests it, the following instruction is given: the first 2 digits correspond to a number x, and the last 2 to a number y, which satisfy that y + 2x = 63 and 3x − y = 37. Which is the password?
General
7 months ago
An entrepreneur has a window and door factory, which is why he has two production sections: assembly and finishing. The assembled window takes 1 hour and 2 hours to finish, while the assembled door takes 3 hours and 1 hour to finish. In the assembly section you can use a maximum of 9 hours and in the finishing section 8 hours a day. The businessman is aware that to have the maximum utility the door must be worth twice that of the window. How many windows and doors should be manufactured?
General
7 months ago
Alyssa runs down a soccer field with a constant velocity of 2.2 m/s. How much time does it take her to run 35.0 meters?
General
7 months ago
The 12500g iron bar at 20°C was supplied at 5000cal. Determine the temperature to which this bar was heated?
General
7 months ago
A projectile is fired from the ground with velocity 𝑣⃗ = (12𝑖⃗ + 24𝑗⃗ ) 𝑚/𝑠. a) What is the velocity after 4 𝑠? b) What is the position of the point at which the height is maximum? c) What is the horizontal distance?
General
7 months ago
3x+3x
General
7 months ago
In a box of favourites; there are three chocolates; flakes, dairy milk, and boost. When a chocolate is chosen at random, the chance of choosing a flake was 45%, and the chance of choosing dairy milk was 30%. List the probability of each outcome to occur , presenting your answers as fractions,
General
7 months ago
| Number | 1 | 2 | 3 | 4 | 5 | 6 | | X | 61 | 66.7 | 75.8 | 78.6 | 82.8 | 87.2 | | Y | 2034 | 2003.8 | 1964.5 | 1928.2 | 1885.3 | 1867.1 | So we have two random variables X and Y, which are probably related. We have thus drawn the following graph Calculate the standard deviation of Y
General
7 months ago
What is the % m/v of a 200 mL aqueous solution containing 30 g of sodium chloride?
General
7 months ago
What is the % of a milk that is prepared by mixing 30 g of water with 50 g of powdered milk?
General
7 months ago
Serial expansion of sin^2(x)
General
7 months ago
At a certain school, the number of teachers meets the number of students in the ratio 1:11. If between teachers and students together there are 1569 people, how many are the students of this school?
General
7 months ago
If in the expression c=12a⁴/b, where a and b are doubled, then for equality to hold, one must
General
7 months ago
Calculate the perimeter of the isosceles triangle of the figure, knowing that § = 45° Measurement of the AC side = x2 - 4 meters Measurement of the BC side = 3x meters
General
7 months ago
Determine the equation of the ellipse of eccentricity e = 7/9, center C(0;0) and passes through P(8;9/2)
General
7 months ago
[(15+5)/5-2]•9
General
7 months ago
42/6+2+45/5*(32/8+3*2)+2
General
7 months ago
My television set has a screen that is 45 inches high by 60 inches wide and sits on a cabinet that is 45 inches high and 114 inches wide; I have no more space available in the apartment. I like movies and my old TV has an aspect ratio* of 4:3, which makes it impossible to fully see the scenes; a 16:9 aspect ratio SmartTV would be ideal for watching my movies. Here I am, in the store, thinking about buying it; however, only the height is listed in the specifications, which is exactly 45 inches. *In case you don't remember, the aspect ratio is the ratio between the height and width of an image. What is the width of the new SmartTV?
General
7 months ago
How fast must an 816-kg Volkswagen travel to have the same momentum as a 2,650-kg Cadillac going 10 mph?
General
7 months ago
Use u-substitution to find the indefinite integral ∫ 10𝑧𝑒^−𝑧^2𝑑𝑧 . Please clearly show all work.
General
7 months ago
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