Ken is 6 feet tall and is walking away from a streetlight. the streetlight has its light bulb 14 feet above the ground, and ken is walking at the rate of 1.7 feet per second. find a function, d(t), which gives the distance ken is from the streetlight in terms of time. find a function, , which gives the length of ken's shadow in terms of d. then find .

Question part points submissions used suppose that 100 lottery tickets are given out in sequence to the first 100 guests to arrive at a party. of these 100 tickets, only 12 are winning tickets. the generalized pigeonhole principle guarantees that there must be a streak of at least l losing tickets in a row. find l.

What is an alternate exterior angle

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points) part b: is the point (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)