A 0.60 kg piece of ice at $14^{\circ}\ \mathrm{F}$ is placed in 0.30 kg of water at 323 K. How much liquid is left when the system reaches thermal equilibrium?

Write the words or the symbols that make the statement true. "Ray AB" may be written using a symbol as ___.

Write down the quadrant and the associated acute angle when $\theta$ is:

$564^{\circ}$

Describe how the Bohr model may be used to account for characteristic x-ray spectra in heavy atoms.

$0.62 \in$ {What subsets of the real numbers}?

The table shows several points on the graph of a linear function. Work to see connections between the slope formula, distance formula, midpoint formula, and linear functions.

$$\begin{array}{c|r} \boldsymbol{x} & \boldsymbol{y} \\ \hline 0 & -6 \\ 1 & -3 \\ 2 & 0 \\ 3 & 3 \\ 4 & 6 \\ 5 & 9 \\ 6 & 12 \end{array}$$

Find the midpoint of the segment joining (0, -6) and (6, 12). Compare the answer to the middle entry in the table. What do you notice?

Find, to the nearest degree, the acute angle formed by two diagonals of a cube.

Show: If $A$ is Hermitian, then $\operatorname{det}(A)$ is real.

Rosalie parle de ce qui s’est pass$\'e$ hier. Compl$\'e$tez ses phrases logiquement en mettant les verbes donnés au pass$\'e$ compos$\'e$ ou $\`a$ l’imparfait.

Quand nous _____ (rentrer), Rose et ses copains _____ ($\^e$tre) $\`a$ la maison.

An object of mass m (in grams) attached to a coiled spring with damping factor b (in grams per second) is pulled down a distance a (in centimeters) from its rest position and then released.Assume that the positive direction of the motion is up and the period is T (in seconds) under simple harmonic motion. (a) Write an equation that relates the distance d of the object from its rest position after t seconds. (b) Graph the equation found in part (a) for 5 oscillations using a graphing utility. m = 25, a = 10, b = 0.7, T = 5

An object moves in simple harmonic motion described by the given equation, where t is measured in seconds and d in centimeters. Find: the frequency.

$$d = 20 \cos \frac { \pi } { 4 } t$$

Describe the ground-state electron configuration of the cyclopentadienyl cation and radical. Assuming each species is planar, would you expect it to be aromatic or antiaromatic?

Can f(x) pass the horizontal line test when $\lim _{x \rightarrow \infty} f(x)=0$ and $\lim _{x \rightarrow-\infty} f(x)=0$? Explain.

Is a triangle with side lengths that measure 3.6,4.8, and 6.2 a right, obtuse, or acute triangle?