A mathematician is analyzing an email message. Out of the first 100 characters, the letter e appears 13 times. The emial message is 1,100 characters in length. Based on the information, how many of the characters should be a letter e?

Find the length of the radius of a circle with the center at -7+2i and a point in the circle at 33+11i

A3cm×3cm\greend{3\,\text{cm} \times 3\,\text{cm}} 3cm×3cm start color greend, 3, space, c, m, times, 3, space, c, m, end color greend rectangle sits inside a circle with radius of 4cm\blued{4\,\text{cm}} 4cm start color blued, 4, space, c, m, end color blued . what is the area of the shaded region? round your final answer to the nearest hundredth.

The product of (7x-2) and (20-3x)/4. when x=4