Determine the steady-state surface temperature of an electric cable, 25 cm in diameter, which is suspended horizontally in still air in which heat is dissipated by the cable at a rate of 27 W per meter of length. The air temperature is $30^{\circ} \mathrm{C}$.

Explain how you could use paper folding to divide a line segment into four segments of equal length.

Solve the percent problem.

$\bull$ What is $30 \%$ of $160 ?$

What transformations of

$$f(x) = x^2$$

are applied to the function g?

$$g(x)=-x^2-6$$

Los profesores de la escuela de Hugo son muy estrictos. Completa la descripción con la palabra apropiada.

¡La profesora de álgebra es la más estricta de la escuela _____(Ninguno-Ningún) estudiante quiere estudiar con ella.

Se enumeran ejemplos de salarios anuales (en miles de dólares) para los empleados de una empresa.

$42$ $36$ $48$ $51$ $39$ $39$ $42$ $36$ $48$ $33$ $39$ $42$ $45$.

(a) Encuentre la media muestral y la desviación estándar muestral.

(b) Cada empleado de la muestra recibe un aumento del $5\%$. Encuentre la media de la muestra y la desviación estándar de la muestra para el conjunto de datos revisado.

(c) Para calcular el salario mensual, divida cada salario original entre $12$. Halle la media muestral y la desviación estándar muestral para el conjunto de datos revisado.

(d) ¿Qué puede concluir de los resultados de (a), (b) y (c)?

The equation of motion of a body performing damped forced vibrations is $\frac{\mathrm{d}^2 x}{\mathrm{~d} t^2}+5 \frac{\mathrm{d} x}{\mathrm{~d} t}+6 x=\cos t$. Solve this equation, given that $x=0 \cdot 1$ and $\frac{\mathrm{d} x}{\mathrm{~d} t}=0$ when t=0. Write the steady-state solution in the form K sin (t+a).

How many $60-\mathrm{W}$ incandescent light bulbs can be operated at the same time on a $120-\mathrm{V}, the 15$-A circuit in a home? How many energy-efficient 22-W bulbs can operate on a similar circuit?

Find all steady-state vectors for the stochastic matrix A.

$$A=\left[\begin{array}{rrr} 0.3 & 1 & 0 \\ 0 & 0 & 0 \\ 0.7 & 0 & 1 \end{array}\right]$$

A cylindrical silo for storing corn has a diameter of 30 ft and a height of 80 ft.

a. Find the volume of the silo.

b. Find the surface area of the silo including the top and bottom.

Complete the proof of the Fundamental Isomorphism the previous Theorem, relying if necessary on the corresponding proofs for the Fundamental Isomorphism Theorem for Commutative Rings 14.1:
(a) Show that the function $\mu$ is well defined (that is, it does not depend on the coset representative chosen). (b) Show that the function $\mu$ is a group isomorphism (that is, that it preserves the group operation and is a bijection).

Place a check $(\mathscr{)}$ in the blank in front of each sentence in which the subject and verb agree.

A bill regarding hazardous wastes sit in a committee.

Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the specified axis. y=x^1/2, y=0, x=1: about x=-1

Identifica las actividades de la encuesta de iAsí es la vida! a las que diste 3 puntos y ponlas en orden de importancia para ti.