Two lifeguard stations are 100 feet apart. They both spot a speedboat, which is at an angle of 60° from tower A and at 40° from tower B, when measured from the line that connects the towers. How far is the speedboat from tower B?  A physics-style diagram shows two observers at points A and B on level ground separated by 100 ft. From A, a line of sight to point C makes a 60° angle with the ground. From B, a line of sight to point C makes a 40° angle with the ground. The two lines meet at point C above the ground, forming a triangle with base AB. A dashed vertical line from C to the ground represents height d. The left side from A to C is labeled b, and the right side from B to C is labeled a.

What is the approximate area of triangle ABC? A triangle labeled A, B, and C is shown. Points A and B are connected by a horizontal top side labeled 8 in. Point C is below between them, forming an inverted triangular shape. The side from A to C is labeled 4 in., and the side from C to B is labeled 6 in. The triangle is scalene, with all three sides having different lengths.

Consider the three code segments. What is the output of the programs? Block-Based Pseudo-Code   The pseudocode initializes list and sets temp to 0. For each item in the list, it checks if item MOD 2 equals 1. If true, item is added to temp. After the loop, temp is displayed. Python Program-Code list = [66,55,44,33,22,11]temp = 0for item in list: if (item % 2 == 1): temp = temp + itemprint(temp) Text-Based Pseudo-Code list ← [66,55,44,33,22,11]temp ← 0FOR EACH item IN list{ IF (item MOD 2 = 1) { temp ← temp + item }}DISPLAY (temp)

Consider the three code segments. What is the output of the programs after they are executed 100 times? Block-Based Pseudo-Code   The pseudocode repeats a process 100 times. Each time, x is assigned a random integer from 1 to 9. If x MOD 2 equals 0, it displays “multiple of 2”. If x MOD 3 equals 0, it displays “multiple of 3”. Python Program-Code from random import*for k in range (100): x = randint(1,9) if (x % 2 == 0): print (“multiple of 2”) if (x % 3 == 0): print (“mulitple of 3”) Text-Based Pseudo-Code REPEAT 100 TIMES{ x ← RANDOM (1, 9) IF (x MOD 2 == 0) { DISPLAY (“multiple of 2”) } IF (x MOD 3 == 0) { DISPLAY (“multiple of 3”) }}

Consider the three code segments. What is the output of the programs? Block-Based Pseudo-Code The pseudocode assigns 100 to x and 200 to y. It then sets sum equal to x + y and outputs the value of sum. Python Program-Code x = 100y = 200sum = x + yprint (sum) Text-Based Pseudo-Code x ← 100y ← 200sum ← x + yDISPLAY (sum)  

Consider the three code segments. What is the program output with execution input of 1111, followed by a second input of 1234? Block-Based Pseudo-Code   The pseudocode initializes pin to “0000” and repeats until pin equals “1234”. It displays “Enter PIN”, accepts user input, and checks the value. If correct, it displays “Proceed”; otherwise, it displays “Re-enter PIN” and requests input again. Python Program-Code pin = “0000”while (pin != “1234”): pin = input(“Enter PIN”) if (pin == “1234”): print (“Proceed”) else: pin = input(“Re-enter PIN”) Text-Based Pseudo-Code pin ← “0000”REPEAT UNTIL (pin == “1234”){ DISPLAY (“Enter PIN”) pin ← INPUT () IF (pin == “1234”) { DISPLAY (“Proceed”) } ELSE { DISPLAY (“Re-enter pin”) pin ← INPUT () }}

Consider the three code segments. score is an integer test value in the [0..100] range. What is the output of the programs? Block-Based Pseudo-Code   The pseudocode checks a score using separate IF statements. If the score is at least 90, grade is set to “A”; at least 80 to “B”; at least 70 to “C”; otherwise to “F”. The program then displays grade. Python Program-Code if (score >=90): grade = “A”if (score >=80): grade = “B”if (score >=70): grade = “C”if (score >=0): grade = “F”print (grade) Text-Based Pseudo-Code IF (score >= 90){ grade ← “A”}IF (score >= 80){ grade ← “B”}IF (score >= 70){ grade ← “C”}IF (score >= 0){ grade ← “F”}DISPLAY (grade)

You want to build a box with an open top out of a piece of cardboard that measures 20 inches by 30 inches. You do this by removing squares from each corner that are x units wide. What is the maximum volume you can create? 

Which is the graph of  ? 

Convert the equation for the parabola  to standard form.