The smith family wants to build a human pyramid when they go to the beach this summer. they will put one person on top and add 2 more people for each descending row.

a. how many people will be in the seventh row?

b. find the total number of people in a pyramid with seven rows.

c. next summer, jane smith wants to build a pyramid with only the great-grandchildren. if they build it the same way, how many children are needed to make a pyramid with 10 rows?

d. suppose the cast of the simpsons built a pyramid in which the bottom row had 37 people, and they added 4 people between consecutive rows. how many rows tall is their pyramid?

e. what is the total number of people in the simpson’s pyramid described in part d?

For this option, you will work individually. the pythagorean theorem can be used in many real-world scenarios. part 1 write your own real-world scenario where the pythagorean theorem can be applied to find a missing piece. you may choose to write a problem that is two- or three-dimensional in nature. be sure that you will be able to draw a diagram of your scenario. write out your problem and submit it for part 1. be sure to end your scenario with a question. part 2 draw a diagram of the scenario you created in part 1. you may draw by hand and scan and upload your drawing or create a computer-generated drawing for submission. be sure to label all parts and dimensions of the drawing. part 3 solve the question that you posed in part 1. show all of your steps in answering the question. for this option, you will need to submit all three parts for full credit—your real-world problem and question, the diagram that you created, and your work solving the problem, showing all steps. * note that your instructor is looking for your own original idea. while it is acceptable to use the internet for research and inspiration, academic integrity policies apply.

The revenue each season from tickets at the theme park is represented by t(c)=5x. the cost to pay the employees each season is represented by r(x)=(1.5)^x. examine the graph of the combined function for total profit and estimate the profit after four seasons

2/3(-6y+9x) expand each expression using the distributive property