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What are the empirical and molecular formulas of a compound that is 40.27% potassium, 26.78% chromium, and 32.95% oxygen? The molar mass of the compound is 194.2 g/mol.

Tartaric acid (C4H6O6) is naturally found in fruits like grapes and banana. It is used in the food industry as a leaving agent that gives a sour taste. Determine the percent composition of each element in the compound.

How much heat is released when 358 g of water cools from 68.3°C to 18.9°C? The specific heat of water is 4.184 J/g°C.


A toolbox with contents has a mass of 200kg and stands horizontal floor. The static frictional coefficient between the floor and toolbox is 0,4


1. Calculate the minimum horizontal force a handyman has to apply to make the toolbox move.


2. An electric drill and hammer (with combined mass of 25kg) is removed from the toolbox by the handyman. Calculate the new force necessary to move the toolbox


The function f(x)= [x]- x is not integrable in [ 0,3] , where [ x] denote greatest integer function.


True or false with full explanation

The average diameter of an adult human eyeball is 24mm. What is the diameter in dm?


A basket contains 10 ripe and 4 unripe bananas. If three bananas are taken from the basket one after the other, determine the values of the random R representing the number of ripe bananas

ind the smallest relation containing the relation {(1, 2), (1, 4), (3


, 3), (4, 1)} that is




a)


reflexive and transitive.





b)


symmetric and transitive.





c)


reflexive, symmetric, and transitive.







suppose that there is an increase in the foreign interest rate. use the IS and LM curves to show what will happen in the domestic economy when there is perfect capital mobility and pegged exchange rate


In general, a statement involving n variables x1 , x 2 ,…, x n can be denoted by P( x1 , x 2 ,…, x n ) and is the value of the predicate P at the n-tuple (x1 , x2 ,…, x n ) . (a) Suppose Q(x , y) denotes the statement “ x=y+3 .” What are the truth values of the propositions Q(1,2) and Q(3,0)? (b) Let R(x , y ,


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