Calcule las energías cinéticas de los siguientes objetos que se mueven a las siguientes velocidades: (a) un jugador de futbol americano de 110 kg que corre a \( 8.1 \mathrm{~m} / \mathrm{s} \); (b) una bala de 4.2 g a \( 950 \mathrm{~m} / \mathrm{s} \); (c) el portaviones Nimitz de 91,400 tons a 32.0 nudos. Un electrón de conducción en cobre a una temperatura cercana al cero absoluto tiene una energía cinética de 4.2 eV . ¿Cual es la velocidad del electrón?

A sample of size 110 will be drawn from a population with mean 36 and standard deviation 14 . Use the Cumulative Normal Distribution Table if needer Part: 0 / 2 Part 1 of 2 (a) Find the probability that \( \bar{x} \) will be between 33 and 38 . Round the final answer to at least four decimal places. The probability that \( \bar{x} \) will be between 33 and 38 is

Find the exact value of the expression. Do not use a calculator. \[ \frac{\tan \frac{\pi}{4}}{2}+\frac{1}{\csc \frac{\pi}{6}} \]

Solve the system by the substitution method. First simplify each equation by combining like terms. \( \left\{\begin{array}{l}-3 y+4 y=2 x+3(x-5)-2 x+10 \\ 5(x+y)-x+y=-8\end{array}\right. \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is \( \square \). (Simplify your answer. Type an ordered pair.) B. There are infinitely many solutions; \( \{(x, y) \mid-3 y+4 y=2 x+3(x-5)-2 x+10\} \) or \( \{(x, y) \mid 5(x+y)-x+y=-8\} \). There is no solution; \( \}\} \) or \( \varnothing \).

Beweise, dass wenn \( \overline{A B} \) der Durchmesser des Umkreises des Dreiecks \( \Delta_{A B C} \) ist, dann gilt \( \varangle A C B=90^{\circ} \).

\( 2 \frac { 1 } { 2 } l = \square ml \)