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What size opening should the exit be when using positive-pressure ventilation?

Reduce the matrix A below to the Reduced Row Echelon Form, showing all the steps. $$\left[ \begin{array}{rrrr}1 & 0 & 1 & -1 \\0 & -1 & -3 & 4 \\3 & 0 & 3 & -3 \\-3 & 0 & -3 & -1 \\\end{array} \right]$$

Consider the following system: $$x_1+ 3x_2=6$$ $$-5x_1+kx_2= h$$   a) Determine $h$ and $k$ such that the system above has no solution.   b) Determine $h$ and $k$ such that the solution set of the system contains a unique solution   c) Determine $h$ and $k$ such that the solution set of the system contains many solutions.  

Find all solutions, if any exist, of the following system. If the system has multiple solutions, write the solution set as the Span of some vectors. $$\begin{matrix}&2 x_1 &-5 x_2 &+ x_3 &-6 x_4 &+ 2 x_5 &= 0\\&-8 x_1 &+20 x_2 &-4 x_3 &+24 x_4 &-8 x_5 &= 0\\&-6x_1&+15 x_2 &- x_3 & & -4 x_5 &= 0\\& & &- x_3 & +9 x_4 & &= 0\\& & &2 x_3 &- 18 x_4&+ x_5 & = 0\end{matrix}$$

The examples of rituals include annual events and celebrations.

A balanced chemical equation can be read in many ways. It shows equal numbers of atoms of each type of element on both the reactants and products side of the equation. This same atom information can be read as moles of each type of element. It also shows the mole ratios of reactants and products, and it expresses the fact that the total mass of the reactants equals the total mass of the products (conservation of mass). Balance the chemical reaction and complete the table for the combustion reaction of methane, the major compound present in natural gas. For this table, you may give your answer as a whole number without units. The computer will make your answer wrong if you include g for grams.  Also, include all coefficients, including 1, in your answers, as Canvas won’t recognize a blank as correct. (Normally, answering with proper significant figures and units is the best way to answer.) Balance this equation with the proper coefficients:  [CH4] CH4 + [O2] O2 → [CO2] CO2 + [H2O] H2O  Element Number of atoms in one molecule (not Avogadro’s #) Number of moles of C, H, or O Reactant Number of moles in the reaction Mass of compound listed Total Mass in grams of that all Reactants Total mass in grams of all Products C  [AtomsC] 1 CH4  [molesCH4]  16 g  [massReactant] g   H  [AtomsH] 4 O2  [molesO2]  [gO2] g     O  [AtomsO] 4 Products       [massProducts] g       CO2  [molesCO2]  [gCO2] g           H2O  [molesH2O]  [gH2O] g      

When 2610 + 11.7 + 0.22 is calculated, the answer to the correct number of decimal places is ________.  

The average distance from Earth to the moon is 238,900 miles. How far is this in kilometers? Express your answer in scientific notation and use the proper number of significant figures and units. (1 mile = 1,609.344 meters)  

What key event solidified the Sunni-Shia split during Ali’s caliphate?

If    for the function shown.  What is x?