What structural features help us identify a compound as an alkyne.

An urn contains 3 red and 7 black balls. Players A and B withdraw balls from the urn consecutively until a red ball is selected. Find the probability that A selects the red ball. (A draws the first ball, then B, and so on. There is no replacement of the balls drawn.)

Determine whether the given ordered pair is a solution of the system.

$$(-3, 5) \\ \left\{ \begin{array} { l } { 9 x + 7 y = 8 } \\ { 8 x - 9 y = - 69 } \end{array} \right.$$

Evaluate the expression. Assume x≠0. (a)

$$-6x^0$$

, (b)

$$(-6x)^0$$

What is the general trend of how spending for each of these product types has changed? Are the two trends alike or different?

A mass of 1.00 kg of water at temperature T is poured from a height of 0.100 km into a vessel containing water of the same temperature T, and a temperature change of

$$0.100 ^ { \circ } \mathrm { C }$$

is measured. What mass of water was in the vessel? Ignore heat flow into the vessel, the thermometer, and so on.

The rate of change of the function f(x) = sec x + cos x is given by the expression sec x tan x - sin x. Show that this expression can also be written as

$$sin x tan^2 x.$$

Solve the equation.

$$2 x ( x + 3 ) = 2 \left( x ^ { 2 } + 3 \right)$$

Solve the equation. Check your solution.

$$\sqrt{3x - 14} + x = 6$$

Most people complain that they gain weight during the December holidays, and Yanovski et al. (2000) wanted to determine if that is the case. They sampled the weights of 195 adults in mid-November and again in early to mid-January. The mean weight change for the sample was a gain of 0.37 kg, with a standard deviation of 1.52 kg. State and test the appropriate hypotheses. Use

$$\alpha = .01$$

instead of .05. Be sure to carefully define the population parameter(s) you are testing

Solve each proportion.

$$\frac { y + 7 } { 9 } = \frac { 8 } { 5 }$$

Saturated R-134a vapor at $100 ^ { \circ } \mathrm { F }$is condensed at constant pressure to a saturated liquid in a closed piston–cylinder system. Calculate the heat transfer and work done during this process, in Btu/lbm.

Consider the economy of Israel in $1958.^{11}$ The three industries considered here are $\qquad \qquad \qquad I_1$: agriculture, $\qquad \qquad \qquad I_2$: manufacturing, $\qquad \qquad \qquad I_3$: energy. Outputs and demands are measured in millions of Israeli pounds, the currency of Israel at that time. We are told that

$$\qquad \qquad \vec{b} = \begin{bmatrix} 13.2\\ 17.6\\ 1.8 \end{bmatrix}, \vec{v_1} = \begin{bmatrix} 0.293\\ 0.014\\ 0.044 \end{bmatrix},$$

$$\qquad \qquad \vec{v_2} = \begin{bmatrix} 0\\ 0.207\\ 0.01 \end{bmatrix}, \vec{v_3} = \begin{bmatrix} 0\\ 0.017\\ 0.216 \end{bmatrix}.$$

a. Why do the first components of $\vec{v_2}$ and $\vec{v_3}$ equal 0? b. Find the outputs $x_1, x_2, x_3$ required to satisfy demand.

A(n) _ is also called an XY graph, and it is often used to determine if one variable causes an effect in another variable.