Part A 1. The path traveled by a golf ball hit with a 9-iron can be modeled with quadratic function, y = -0.42×2 + 5x, where x is the distance in yards from the point it was hit and y is the height of the golf ball in feet. Assume that the ground is level.
a. Find the maximum height reached by the ball. b. How far from where it was hit does the ball hit the ground? 2. Translate the following argument in symbolic form and determine whether it’s logically correct constructing a truth table. If affirmative action
policies are adopted, then minorities will be hired. If minorities get hired, then discrimination will be addressed. Therefore, if affirmative action policies are adopted, then discrimination will be addressed. 3. To determine the distance to an oil platform
in the Pacific Ocean from both ends of a beach, a surveyor measures the angle to the platform from each end of the beach. The angle made with the shoreline from one end of the beach is 83 degrees, from the other end 78.6 degrees. If the beach is 950 yards
long, what are the distances to the oil platform from both ends of the beach? Part B 1. Find the vertex and graph of y = -x2 + 6x – 5.5 (Your solution is worth eight points) 2. Suppose a bullet is fired on a distant planet so that its height (in feet) after
t seconds is given by h = 4t2 + 16t + 5. a. When is the bullet at its highest point? b. When will the bullet strike the ground? c. What is the maximum height the bullet will attain? 3. On the day of the child’s birth, a proud parent deposits an amount into
a compound interest savings account, which will earn 5% each year. On the child’s eighteenth birthday, the account will have accumulated $10,000. How much did the parent deposit on the day of the child’s birth? 4. Consider the sequence that begins 4, 3, …
and continues by the rule: Every subsequent element of the sequence is the sum of the two preceding elements. a. Determine the next five (third through seventh) elements of this sequence. b. Compute the ratio of the sixth and seventh elements of this sequence.
Is it close to the Golden Ratio? 5. Suppose that in a class of 50 students, 10 are married and 18 live at their parents’ homes. It’s known that 3 of the married students live at their parents’ homes. a. Draw a Venn diagram of this information. b. How many
students are single and do not live at their parents’ homes? 6. Make a simple flowchart in which you draw cards from a standard deck until you draw an ace. 7. Determine whether the following argument is correct. It it’s not correct, explain what is wrong with
the argument and change the minor premise to make a correct argument. All NBA basketball players are over 5 ft. tall. Russell is 6 ft. tall. Therefore, Russell plays in the NBA 8. A city block 500 feet by 500 feet has a large building 300 feet by 400 feet
in the NW corner. The rest of the block is an unobstructed paved lot. What’s the shortest distance from the SW corner to the NE corner or the city block, going through the paved lot (to the nearest foot)? 9. A pilot, attempting to fly from Middletown to Westburg,
a distance of 200 miles, notices after flying 180 miles that Westburg is still 35 miles away because the heading was off by a few degrees. How many degrees was the heading off the desired course (to one decimal place)? 10. Find the dimensions of a rectangular
region with the maximum area that can be enclosed by 60 feet of fencing.
