Now, fill in the blanks in the following sentences with the correct forms of the verbs in parentheses.
Yo... mucho. (bailar)

Now, fill in the blanks in the following sentences with the correct forms of the verbs in parentheses.
Dolores y yo ... (bailar)

Now, fill in the blanks in the following sentences with the correct forms of the verbs in parentheses.
Nosotras... hoy, ¿no? (patinar)

What is the correct form of the verb duchar in this sentence? Me ___________. No paso mucho tiempo en la ducha.

A. How would you talk about the following people? Write the correct subject pronoun next to their names. Follow the model. 1.Pablo 2.Maria y Ester 3. Marta y yo 4. Tu y Marisol 5. El doctor Smith 6.Jorge y Tomas 7. Carmen 8. Alicia y Roberto 9. Rolando y Elena

B. How would you talk to the following people? Write the correct subject pronoun next to their names. Follow the model.

1. El profesor Santiago
2. Marta y Carmen 3.Anita y yo
3. Tu amigo Federico
4. La senorita Ibanez
5. Ricardo
6. La profesora Alvarez

Ellos ___________________________________ la computadora durante la primera hora. (usar)

Now, fill in the blanks in the following sentences with the correct forms of the verbs in parentheses.
El profesor... la leccion. (ensenar)

El profesor ___________________________________ la leccion. (ensenar)

B. Now, using the verbs from Part A, write the missing verb to complete each sentence below.

1. Antonio... sus papas fritas con Amelia.

. 10. Paula y Guillermo hablan y .... español. 11. ¿... tu leche en el desayuno? 12. Manolo y Federico... las galletas con Susana.

For any $n \geq 1,$ prove that there exists a prime with at least $n$ of its digits equal to $0 .$ Hint$:$ Consider the arithmetic progression $10^{n+1} k+1$ for $k=1,2, \ldots$

During a particular thunderstorm, the electric potential difference between a cloud and the ground is

$$V _ { \text { cloud } } - V _ { \text { ground } } = 1.3 \times 10 ^ { 8 } \mathrm { V }$$

with the cloud being at the higher potential. What is the change in an electron's electric potential energy when the electron moves from the ground to the cloud?

No es dificil. Es __________. (Across)

Simplify the given expression or perform the indicated operation (and simplify, if possible), whichever is appropriate.

$$x ^ { 3 } + x ^ { 3 } - x ^ { 3 } \cdot x ^ { 3 }$$

One-half kg of Refrigerant 22 is contained in a piston– cylinder assembly, initially saturated vapor at 5 bar. The refrigerant undergoes a process for which the pressurespecific volume relation is $p v=\text{constant}$ to a final pressure of 20 bar. Kinetic and potential energy effects can be neglected. Determine the work and heat transfer for the process, each in kJ.