How much does a gallon of gasoline cost if a litre costs $\$ 1.27$? Using the conversion factors in Appendix E, convert gallons to litres to demonstrate.

Assume a recipe for pancakes that serves five people asks for 310 grammes of flour. If you were to alter the recipe to make it serve only two people, how many grammes of flour would you use?

What are the lines of electrical force between two elliptical copper plates $x^2+2 y^2=1$ and $\frac{1}{4} x^2+\frac{1}{2} y^2=1$ that are kept at different electric potentials?

In 1974, Robin bought a classic 1955 Ford Thunderbird for $2,000. Over the next 30 years, she invested approximately$1,000 per year into restoring the car to its original condition. In 2004, she sold it for $54,000. Which investment was more conservative?

Find all solutions in the interval $0^{\circ} \leq \theta<360^{\circ}$. If rounding is necessary, round to the nearest tenth of a degree.

$$\tan \theta+2 \cos \theta \tan \theta=0$$

Lee los ingredientes de la receta y contesta las preguntas. Usa algunas de las palabras del recuadro para indicar las cantidades aproximadas de cada ingrediente: un poco, ninguno(a), mucho(a), poco(a), alguno(a) Calabaza con carne 1 kilo de carne de res 250 gramos de calabaza (pumpkin) 2 tomates Media cebolla 3 chiles 2 litros de agua Aceite de oliva Un poco de sal

1.¿Lleva carne de res? 2.¿Cuánta cebolla lleva? 3.¿Lleva mucho picante? 4.¿Lleva alguna verdura? 5.¿Cuántos huevos lleva?

What types of symbols are typically used to express genotypes?

Find the percentage. Round answer to the nearest hundredth. 2.8% of $8,470,000

An arch is in the shape of a parabola. It has a span of 100 feet and a maximum height of 20 feet. Find the equation of the parabola, and determine the height of the arch 40 feet from the center.

Which of the following vectors span $R^2$ ? (a) $(1,2),(-1,1)$ (b) $(0,0),(1,1),(-2,-2)$ (c) $(1,3),(2,-3),(0,2)$ (d) $(2,4),(-1,2)$

Represent the sum of $\sum_{k=1}^{n-1} \frac{k^2}{n}$ in closed form.

Calculate the potential of a platinum electrode immersed in a solution that is (a) $0.0613 \mathrm{M}$ in $\mathrm{K}_4 \mathrm{Fe}(\mathrm{CN})_6$ and $0.00669 \mathrm{M}$ in $\mathrm{K}_3 \mathrm{Fe}(\mathrm{CN})_6$. (b) $0.0400 \mathrm{M}$ in $\mathrm{FeSO}_4$ and $0.00915 \mathrm{M}$ in $\mathrm{Fe}_2\left(\mathrm{SO}_4\right)_3$. (c) buffered to a $\mathrm{pH}$ of $5.55$ and saturated with $\mathrm{H}_2$ at $1.00 \mathrm{~atm}$. (d) $0.1015 \mathrm{M}$ in $\mathrm{V}(\mathrm{OH})_4{ }^{+}, 0.0799 \mathrm{M}^2 \mathrm{VO}^{2+}$, and $0.0800 \mathrm{M}$ in $\mathrm{HClO}_4$. (e) prepared by mixing $50.00 \mathrm{~mL}$ of $0.0607 \mathrm{M}$ $\mathrm{Ce}\left(\mathrm{SO}_4\right)_2$ with an equal volume of $0.100 \mathrm{M}$ $\mathrm{FeCl}_2$ (assume solutions were $1.00 \mathrm{M}$ in $\mathrm{H}_2 \mathrm{SO}_4$ and use formal potentials). (f) prepared by mixing $25.00 \mathrm{~mL}$ of $0.0832$ $\mathrm{M} \mathrm{V}_2\left(\mathrm{SO}_4\right)_3$ with $50.00 \mathrm{~mL}$ of $0.00628 \mathrm{M}$ $\mathrm{V}(\mathrm{OH})_4^{+}$and has a $\mathrm{pH}$ of $1.00$.

Write $\frac{11}{20}$ as a percent and round it to the nearest hundredth.

which conditions are favorable for the formation of thunderstorms?