A baseball with a mass of 450 g has a kinetic energy of 406 J. Calculate the velocity of the baseball in units of m/s.

Explica la importancia de los siguientes lugares, grupos, personas y fechas en la historia y la politica de Chile.

Salvador Allende

A car is moving at a rate of 65 miles per hour, and the diameter of its wheels is 2 feet. Find the number of revolutions per minute the wheels are rotating.

What are the goals per AACE?

A car is moving at the rate of 50 miles per hour, and the diameter of its wheels is 2.5 feet.

Find the number of revolutions per minute that the wheels are rotating.

A car is moving at a rate of $65$ miles per hour, and the diameter of its wheels is $2$ feet. Find the number of revolutions per minute the wheels are rotating.

The units of density for a rectangular piece of wood are a. grams per milliliter. b. cubic centimeters. c. kilograms per liter. d. grams per cubic centimeter.

The U.S. average per capita income for several years from 1990 to 2000 is given in the table below. Let x=0 represent 1990, x=1 represent 1991 , and so forth. $$ \begin{array}{cc} \hline \text{PER CAPITA INCOME} \hline \text { Year } & \text { Amount (dollars) } \\ \hline 1990 & 19,614 \\ 1991 & 20,126 \\ 1992 & 21,105 \\ 1993 & 21,735 \\ 1994 & 22,593 \\ 1995 & 23,571 \\ 1996 & 24,660 \\ 1997 & 25,876 \\ 1998 & 27,317 \\ 1999 & 28,534 \\ 2000 & 30,069 \end{array} $$ Use the model to predict when the per capita income exceeds $ 40,000.

The U.S. average per capita income for several years from 1990 to 2000 is given in the table below. Let x=0 represent 1990, x=1 represent 1991 , and so forth. $$ \begin{array}{cc} \hline \text{PER CAPITA INCOME} \hline \text { Year } & \text { Amount (dollars) } \\ \hline 1990 & 19,614 \\ 1991 & 20,126 \\ 1992 & 21,105 \\ 1993 & 21,735 \\ 1994 & 22,593 \\ 1995 & 23,571 \\ 1996 & 24,660 \\ 1997 & 25,876 \\ 1998 & 27,317 \\ 1999 & 28,534 \\ 2000 & 30,069 \end{array} $$ Find the quadratic regression model for the data and superimpose its graph on a scatter plot of the data.

Maximize $f=6 x_1+6 x_2+9 x_3$ subject to $x_j \geqq 0(j=1, \cdots, 5)$, and $x_1+x_3+x_4=1$. $x_2+x_3+x_5=1$.

Maximize

$$f=5x_1+8x_2+4x_3$$

subject to

$$x_j≥0$$

(j=1, ...,5) and

$$x_1+x_3+x_5=1, x_2+x_3+x_4=1.$$

Do not use the simplex method. Maximize $Z=4 x+8 y$ subject to

$$\begin{aligned} x+2 y & \leq 8 \\ 3 x+2 y & \leq 12 \\ x, y & \geq 0 \end{aligned}$$

Use Theorem 8.2.2 to find the values of $x$ that maximize/minimize the functions given by the following formulas:

(a) $y=e^x+e^{-2 x}$

(b) $y=9-(x-a)^2-2(x-b)^2$

(c) $y=\ln x-5 x, \quad x>0$

Maximize $z=300 x_1+500 x_2$ subject to $2 x_1+8 x_2 \leqq 60,2 x_1+x_2 \leqq 30,4 x_1+4 x_2 \leqq 60$.