Q and A for the topic: General

How many moles of HNO3 can react with 3.8g of Ca(OH)2?

A small metal bar whose initial temperature is 30° C is dropped into a container with boiling water, how long will it take to reach 80° C if it is known that it increases 3° in one second? How long will it take to reach 98°? solve by body cooling method.

You have an alloy that contains 10% brass that needs to be mixed with 2,585 ounces of an alloy that contains 70% brass to create a mixture that is 65% brass. You need ounces of 10% brass (If needed, round to 1 decimal place - NO COMMAS).

Given the expression: 4x2 + 18x − 10 Part A: What is the greatest common factor? Explain how to find it. (3 points) Part B: Factor the expression completely. Show all necessary steps. (5 points) Part C: Check your factoring from Part B by multiplying. Show all necessary steps. (2 points)

The questions are independent. 1. Let F = {(a+2b+c, a+c, a+c, a+2b), a,b,c ∈ R}. Justify that F is a vector subspace of R4, give a base and specify its dimension. 2. Is the family (1, 2, 2), (2, 3, 0), (−1, 3, 1) a basis of R3? Justify.

In Germany there is a tower called ThyssenKrupp that is used to do various engineering and physics tests. It is 244 m high. Imagine that A test object is dropped, with an initial velocity of 15 m/s. With what speed will reach the floor? How long will it take to fall? Imagine that the tower is on the moon, whose gravity is 3.71 m/s2 , repeat the previous calculations considering the difference in severity.

4x<4(x-5)

2) We set f(x)=arecos (2x*-1)-2 arccos (x) for all xe|0;1] • a) Calculate f(x) on- [0;1[ b) Deduce that arccos (2x2-1)=2arecos (x) for all x€[0:1] .

-2x+20=12x-12

A cow is tied to the corner of a square barn, 10 feet on each side, with a rope 100 feet long. What is the maximum area where the cow could graze?

7 7/8 + 5 3/5

Equation of the line that contains the point (10,-3) and is parallel to the line whose equation is x-5y=15

Use implicit differentiation to find an equation of the tangent line to the eclipse defined by 2x^2+3xy+2y^2=46 at point (1,4). Solve it step by step

in a tree diagram yes A person has in his kitchen two turners, one black and the other red, two ladles, one blue and the other yellow, and two knives, one a chef's knife and the other a bread knife; How many different possible ways can you combine your utensils? In how many ways will the yellow ladle match the chef's knife?

Solve 2 raise to power X =7, find the value of X in 3decimal place?

The normal return on money being 25% annual simple interest. What offer is more convenient for a land that today costs $180 million? to. Pay $182 million in cash in 6 months, with an initial payment of 20% b. Pay $185 million after one year with a 30% down payment c. Pay 50% in cash and the balance at the end of the first year d. Pay 80% after 6 months and the balance at the end of the first year

Consider the function f (x, y) = x3 + y subject to the constraint g (x, 3) = 2x + y - 6 = 0

In how many ways can six men be arranged in a straight row so that the oldest of them is at the beginning of the row?

Find equilibrium for price and quantity P=300-1Qd P=100+Qs Income=180

Find equilibrem for price and quantity P=300-1Qd P=100+Qs Income =180