Why might survivors of rape be reluctant to tell others about the crime?

How can practicing and promoting tolerance help prevent violence?

Suppose an astronomical telescope is being designed to have an angular magnification of 34.0. If the focal length of the objective lens being used is 86.0 cm, find the distance between the two lenses for a relaxed eye. Hint: For a relaxed eye, the image formed by the objective lens is at the focal point of the eyepiece.

Between 1990 and 2013 , there was a drop in violent crime and a spike in the prison population in the United States. The bar graph shows the number of violent crimes per 100,000 people and the number of imprisonments per 100,000 people for six selected years from 1990 through 2013.

The data can be modeled by quadratic and linear functions.

Violent crime rate $y=0.6 x^2-28 x+730$

Imprisonment rate $-15 x+y=300$

In each function, $x$ represents the number of years after 1990 and $y$ represents the number per 100,000 Americans. Solve a nonlinear system to determine the year described in part (a). Round to the nearest year. How many violent crimes per 100,000 Americans and how many imprisonments per 100,000 Americans were there in that year?

The mean distance

$$d_n$$

(in astronomical units) of each planet (except Neptune) from the sun is approximated by the Titius-Bode rule,

$$d_n = 0.3(2)^{n-2}+ 0.4$$

, where n is a positive integer representing the position of the planet from the sun. Graph the sequence given by the Titius-Bode rule.

Prove each of the following for all $n \geq 1$ by the Principle of Mathematical Induction.

a) $1^{2}+3^{2}+5^{2}+\dots+(2 n-1)^{2}=\frac{n(2 n-1)(2 n+1)}{3}$

b) $1 \cdot 3+2 \cdot 4+3 \cdot 5+\ldots+n(n+2)=\frac{n(n+1)(2 n+7)}{6}$

c) $\sum_{i=1}^{n} \frac{1}{i(i+1)}=\frac{n}{n+1}$

d) $\sum_{i=1}^{n} i^{3}=\frac{n^{2}(n+1)^{2}}{4}=\left(\sum_{i=1}^{n} i\right)^{2}$

Functions and their inverses appear to be reflections across which line?

Translations, reflections, and rotations produce a figure that is ______ to the original figure.

Which of the following transformations is not an isometry? A. Translation, B. Rotation, C. Reflection, D. Dilation.

In April 2013, the mortgage interest rate listed in the exercise for the given companies were listed at www.hsh.com. Find the monthly payment necessary to amortize the given loan.

$330,000 at 3.125% for 20 years from Quicken Loans

A football player's foot is planted, and he is in the process of turning when his knee is hit from the side, resulting in a serious injury to the ligaments of the knee. Which two forces acted on the knee to produce this injury?

Use the formula for the rotation matrix $R_{\mathrm{a}}$ to find an explicit expression for the given rotation matrix.

$$R_{120}$$

La personne qui a recu (received) ce ticket.

a fait des achats.

est allée au café.

a pris le metro.

Atherosclerosis probably contributes to hypertension by _____.