Q and A for the topic: General

Establish a linear equation that expresses the relationship between temperature in degrees Celsius, C, and degrees Kelvin, K. Use the fact that water freezes at 0o Celsius (273.15 Kelvin) and boils at 100o Celsius (373.15 Kelvin).

Annual salaries for graduates are expected to be between $30,000 and $45,000. Assume that a 95% confidence interval estimate of the population mean annual sling salary is desired. How large a sample should be taken if the desired margin of error is $250.

A 0.5 kg piece of ice at -10 degrees Celsius is placed in 3 kg of water at 20 degrees Celsius. What temperature will the mixture finally be at? Consider that: cA=4186 J/kg°C and cH=2100 J/kg°C

Calculate the value of the function f(x)=3x+4x considering that "x" is equal to -4

Calculate the value of "x" in the following equation x+2x+3x-5=4x-9

In an English course there are 16 men and 24 women, only four men wear long hair, the rest wear it short, while only six women wear short hair, the rest wear it long, what is the probability that the person has long hair? long?

In the lioness vicar house group I contribute the amount proportional to the number of students they have. If each group contributed 956 for a school event. What percentage did the students contribute in each group, considering that. 1A has 31 Students 1B has 34 Students 2A has 20 Students 2B has 22 Students 3A has 18 Students 3B has 24 Students How much does each student contribute in their group? What percentage does it correspond to? How much money did the entire school raise in total?

1. Administer 10 mg of Morphine every 4 hours in 100 ml of physiological solution. Presentations: 2.5mg vial in 2.5ml. 50mg vial in 2ml and 10mg vial in 10ml How many ml of physiological solution will there be and how many ml of Morphine using the presentation of 2.5mg in 2.5ml? How many vials should you use with the presentation of 2.5mg in 2.5ml? How many ml of physiological solution will there be and how many ml of Morphine using the presentation of 50mg in 2ml? How many ml of physiological solution will there be and how many ml of Morphine using the presentation of 10mg in 10ml?

What is the general solution of the differential y'= y/(x+1)

What is the expression that gives the area of the rotational surface formed by rotating the curve segment with equations x = t^3 and y = 2t +3 around the y axis, provided that -1<=t<=1?

An aquarium is housing 11 Pacific oysters, 13 Eastern oysters, 19 Chilean oysters, and 23 Kumamoto oysters. How many ways can I randomly choose 2 of each of the four species of oyster to move to a different location?

Use the Proof method to determine whether the following argument form is valid. 1. (~p v q) & ~(q & ~r). Given. 2. r → p . Given SHOW: p ↔ r

In ℝ3 consider the vectors 𝑢 = (1, −1,3) and 𝑣 = (2,1,0) Determine the space generated by the vectors 𝑢 and 𝑣, that is: 𝑊 =<{𝑢, 𝑣} >

The next cell contains the following reaction: (6 pts) 2 Ag(s) + Cu(s) → Cu2+ (ac) + 2 Ag + (ac) Determine if the reaction takes place spontaneously. Ag+ (ac) + e − → Ag (s) E∘= 0.80 V Cu2+ (ac) +2 e −→Cu (s) E∘= 0.34 V If it does not occur spontaneously, write the half oxidation reaction and the half reduction reaction with its new voltages. In addition to this, calculate the new voltage of the cell.

Suppose that X is a random variable distributed according to the following function probability density: f(x)= 2(1 − x) for 0 ≤ x ≤ 1 f(x)= 0 otherwise. Since Y = 6X + 10, obtain variance of Y

Given the function f (x, y) = e−x · sin(x + y) a) Calculate its gradient at the point (0, π)

Given the function f (x, y) = e−x · sin(x + y) b) Study its homogeneity and calculate the degree of homogeneity, if applicable . c) Calculate f(t) when t = 1 if x(t) = t2 + 1, y(t) = ln(t)

Find the partial derivatives of the following functions: 4x^2 y^2+5x^2+2y+9 z=(5x^3+y)/(2x+3y) z=(3xy-x^2 )^8

Balance the reaction in basic medium. (6pts) K2Cr2O7 + Na2SO3 + H2O → Cr(OH)3 + Na2SO4 + KOH

Given the vectors A=0.6j+0.8k and B=30i−5j−k . A unit vector that is normal to the plane containing A and B is