The following statement is true; explain it. Two teams are having a tug of war; the team that pushes harder (horizon- tally) against the ground wins.

In what ways does the IASB is different from the IASC?

A projectile is launched from ground level at angle $\theta$ and speed $v_{0}$ into a headwind that causes a constant horizontal acceleration of magnitude a opposite the direction of motion. a. Find an expression in terms of a and g for the launch angle that gives maximum range. b. What is the angle for maximum range if a is 10% of g?

Use the TABLE feature of a graphing calculator to determine the domain of each newly constructed function. Write answers in interval notation. All finite endpoints of the domain intervals are integer values between $-5$ and $5$. For $Y_1=x^2-1$ and $Y_2=\sqrt{x+1}$, a. $Y_1-Y_2$ b. $\frac{Y_1}{Y_2}$

Use the Schrodinger equation to show that the expectation value of the kinetic energy of a particle is given by

$$\left\langle E_k\right\rangle=\int_{-\infty}^{+\infty} \psi(x)\left(-\frac{\hbar^2}{2 m} \frac{d^2 \psi(x)}{d x^2}\right) d x$$

Use Descartes' Rule of Signs to determine how many positive and how many negative real zeros the polynomial can have. Then determine the possible total number of real zeros.

$P(x)=x^3-x^2-x-3$.

Which of the following contains a metal ion that does not have a noble gas electron configuration?

$$\mathrm{AgCl}, \mathrm{BaCl}_2, \mathrm{TiO}_2, \mathrm{ScF}_3, \mathrm{KNO}_3$$

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that shows it is false.

If $\textbf{v}=a\textbf{i}+b\textbf{j}$, $\textbf{w}=b\textbf{i}-a\textbf{j}$, and $\textbf{v}=\textbf{w}$, then $a=b=0$.

Which energy conversion typically occurs in a heating appliance?

A. chemical energy to thermal energy

B. electric energy to thermal energy

C. thermal energy to chemical energy

D. thermal energy to mechanical energy

Identify the main components of the Hadoop architecture and present them in a diagram.

This exercise has introduced methods for solving systems of equations, including substitution and elimination, and matrix methods such as the Gauss-Jordan method and Cramer's rule. Use each method at least once when solving the systems. Include solutions with nonreal complex number components. For systems with infinitely many solutions, write the solution set using an arbitrary variable.

$$\begin{gathered} 5 x-2 z=8 \\ 4 y+3 z=-9 \\ \frac{1}{2} x+\frac{2}{3} y=-1 \end{gathered}$$

Write a program that opens a text file and reads its contents into a stack of characters. The program should then pop the characters from the stack and save them in a second text file. The order of the characters saved in the second file should be the reverse of their order in the first file.

A fluid of specific gravity $0.96$ flows steadily in a long, vertical 1-in.-diameter pipe with an average velocity of $0.50 \mathrm{fu} / \mathrm{s}$. If the pressure is constant throughout the fluid, what is the viscosity of the fluid? Determine the shear stress on the pipe wall.

Approximate the numbers using a calculator.

$$\log _2 0.17$$