A triangular field has sides of lengths 22, 36, and 44 yd. Find the largest angle.

check whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. The equation $x-y-z=-6$ is satisfied by $(2,-3,5)$.

Protists that may lack mitochondria and possess deep oral grooves are known as
a. excavates.
b. apicomplexans.
c. alveolates.
d. amoeboids.
e. ciliates .

Choose the more stable alkene in each of the following pairs. Explain your reasoning. (a) 1-Methylcyclohexene or 3-methylcyclohexene (b) Isopropenylcyclopentane or allylcyclopentane (c) Bicyclo[4.2.0]oct-7-ene or Bicyclo[4.2.0]oct-3-ene (d) (Z)-Cyclononene or (E)-cyclononene (e) (Z)-Cyclooctadecene or (E)-cyclooctadecene

Consider the single-input, single-output system is described by

$$\begin{aligned} . \mathbf{x}(t) & =\mathbf{A} \mathbf{x}(t)+\mathbf{B} u(t) \\ y(t) & =\mathbf{C x}(t) \end{aligned}$$

where

$$\mathbf{A}=\left[\begin{array}{cc} 0 & 1 \\ 3-K & -2-K \end{array}\right], \mathbf{B}=\left[\begin{array}{l} 0 \\ 1 \end{array}\right], \mathbf{C}=\left[\begin{array}{ll} 1 & -1 \end{array}\right]$$

Compute the characteristic polynomial and plot the root locus as $0 \leq K<\infty$. For what values of $K$ is the system stable?

La Caja de Ahorros Ridgewood cobra $\$ 27$ por cheque en concepto de protección contra sobregiros. El 8 de julio, Nancy tenía $\$ 1,400$ en su cuenta. Durante los cuatro días siguientes, llegaron al banco los siguientes cheques:

• 9 de julio, $\$1.380.15$;
• 10 de julio, $\$ 670$ y $\$ 95.67$;
• 11 de julio, $\$ 130$; y
• 12 de julio, $\$ 87.60$.

¿Cuánto pagará en concepto de comisiones por descubierto? ¿Cuánto deberá al banco después del 12 de julio?

The Lincoln Saltdogs is a professional minor league baseball team in the American Association league. The clubhouse is insured for $600,000 under a commercial property insurance policy with an 80 percent coinsurance clause. The current replacement cost of the clubhouse is$1 million. After a playoff game for the league championship, a whirlpool tub for the players shorted out, and a fire ensued. The clubhouse sustained a $100,000 fire loss. Ignoring any deductible, how much will the team’s insurer pay for the loss?

In order to cool 1 ton of water at 20$^\circ{}$C in an insulated tank, a person pours 130 kg of ice at -5$^\circ{}$C into the water. Determine the final equilibrium temperature in the tank. The melting temperature and the heat of fusion of ice at atmospheric pressure are 0$^\circ{}$C and 333.7 kJ/kg, respectively. Answer: 8.2$^\circ{}$C

From the data in Figure 9-12, the formation of a gaseous anion $\mathrm{Li}^{-}$appears energetically favorable. That is, energy is given off when gaseous $\mathrm{Li}$ atoms accept electrons. Comment on the likelihood of forming a stable compound containing the $\mathrm{Li}^{-}$ion, such as $\mathrm{Li}^7 \mathrm{Li}^{-}$or $\mathrm{Na}^{+} \mathrm{Li}^{-}$.

For a certain bowling league, a beginning bowler computes her handicap by taking 90% of the difference between 220 and her average score in league play. Determine the average scores that would produce a handicap of 72 or less. Also assume that a negative handicap is not possible in this league.

If $10.0\mathrm{~g}$ of sodium peroxide $\left(\mathrm{Na}_2 \mathrm{O}_2\right)$ react with water to produce sodium hydroxide and oxygen, how many liters of oxygen will be produced at $20 .{ }^{\circ} \mathrm{C}$ and $750 .\mathrm{torr}$?

$$2 \mathrm{~Na}_2 \mathrm{O}_2(s)+2 \mathrm{~H}_2 \mathrm{O}(l) \longrightarrow 4 \mathrm{~NaOH}(aq)+\mathrm{O}_2(g)$$

Balance the following chemical equations: (a) $\mathrm{CaCl}_{2}+\mathrm{Na}_{2} \mathrm{CO}_{3} \rightleftharpoons \mathrm{CaCO}_{3}+\mathrm{NaCl}$ (b) $\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}+\mathrm{O}_{2} \rightleftharpoons \mathrm{CO}_{2}+\mathrm{H}_{2} \mathrm{O}$ (c) $\mathrm{NO}_{2}+\mathrm{H}_{2} \mathrm{O} \rightleftharpoons \mathrm{HNO}_{3}+\mathrm{NO}$ (d) $\mathrm{C}_{4} \mathrm{H}_{10}+\mathrm{O}_{2} \rightleftharpoons \mathrm{CO}_{2}+\mathrm{H}_{2} \mathrm{O}$ (e) $\mathrm{Al}(\mathrm{OH})_{2}^{-} \rightleftharpoons \mathrm{Al}^{3+}+\mathrm{OH}^{-}$

Balance the following equations. a. $\mathrm{NaOH}+\mathrm{H}_2 \mathrm{CO}_3 \longrightarrow \mathrm{Na}_2 \mathrm{CO}_3+\mathrm{H}_2 \mathrm{O}$ b. $\mathrm{SiCl}_4+\mathrm{H}_2 \mathrm{O} \longrightarrow \mathrm{SiO}_2+\mathrm{HCl}$ c. $\mathrm{Ca}_3\left(\mathrm{PO}_4\right)_2+\mathrm{C} \longrightarrow \mathrm{Ca}_3 \mathrm{P}_2+\mathrm{CO}$ d. $\mathrm{H}_2 \mathrm{~S}+\mathrm{O}_2 \longrightarrow \mathrm{SO}_2+\mathrm{H}_2 \mathrm{O}$ e. $\mathrm{N}_2 \mathrm{O}_5 \longrightarrow \mathrm{NO}_2+\mathrm{O}_2$

What is the momentum of a $\lambda=0.010 \mathrm{nm}$ X-ray photon?