Theater tickets cost $14 dollars for adults, a, and$8 for children, c. Additionally, each person who went to the theater on Thursday made a $5 contribution to charity. Write an expression using the Distributive Property to show the amount of money that the theater received on Thursday. Simplify the expression.

$$25s^4-9t^2$$

A square loop of wire with sides of length L and carrying a conventional current I lies in the yz plane with its center at the origin. What is the approximate equation for the magnitude of the magnetic field at a location x that is much greater than L, in terms of the magnetic moment of the loop?

Your high school has in-groups and out-groups. Concentrate on two of these groups and analyze sociologically the differences in the roles of group membership in one in-group and one out-group.

True or False? Homologous chromosomes are the two identical chromosomes that make up one of the 23 pairs in a mother cell.

Let $R^{3}$ have the Euclidean inner product, and suppose that u=(1, 1, -1) and v=(6, 7, -15). Find a value of k for which ||ku+v||=13.

Dr. Alscott has examined two sets of data from his research. In the first set, the standard deviation was very small, while in the second set there was a much larger standard deviation. Based on this information, what conclusion can be drawn from these two sets? a. The median was greater than the mean in the second set. b. The mean was greater than the median in the second set. c. The standard deviation in both sets reveled a positive correlation between the, data. d. Most data points were closer to the mean in the first set than in the second. e. Most data points were closer to the mean in the second set than in the first.

Compare and contrast asexual and sexual reproduction, identifying and explaining as many differences as possible.

State the size of each matrix.

$$\left[\begin{array}{l}{1} \\ {2} \\ {3} \\ {4}\end{array}\right]$$

Does Earth's surface give off light at night? If so, what type? If not, why not?

Sixty people are in the marching band. If one fourth of them play trumpet, how many do not play trumpet? Draw a picture to illustrate the problem.

Determine the second-order Taylor formula for the given function about the given point $(x_0, y_0)$.
$f (x, y) = 1/(x^2 + y^2 + 1)$, where $x_0 = 0, y_0 = 0$

Find an equation for the line in the form $ax+by=c$, where $a,b,$ and $c$ are integers with no factor common to all three and $a\ge 0$. The line with $x$-intercept and perpendicular to $2x−y=4$

Prove the given statement about subsets A and B of $\mathbb{R}^n$, or provide the required example in $\mathbb{R}^2$. $[(\text { aff } A) \cup(\text { aff } B)] \subset \operatorname{aff}(A \cup B)$.