A candy company has hired you as their new production manager. Your job is to
choose the form of packaging for a new product from the five choices below. The candy
is animal gummies. The package must hold between 45 and 50 cubic inches (roughly 3
cups of space). The cost of the plastic for the packaging is $0.002 per square inch.

The company would really like the container to be in the shape of Noah’s Ark (for
reference, Noah's instructions are given to him by God (Genesis 6:14–16): the ark is to
be 300 cubits long, 50 cubits wide and 30 cubits high. 1 cubit = 1.5 feet.). To simplify
things we are assuming the arc is the shape of a rectangular prism.

Your project should include the volume, total surface area, and materials cost for
each solid given below, including the formulas you used and each step of your
work. Make sure to use the formulas given in your lessons, round your volume
and area to the nearest hundredth, and round your cost to the nearest penny.

You also need to include a paragraph that answers the following questions:
 Do all of the solids hold between 45 and 50 cubic inches?
 Which solid is the most cost efficient (the packaging with the smallest materials
cost that holds between 45 and 50 cubic inches)?
 Would the Ark be most cost efficient solid for packaging? Why or why not?
 Which solid would you recommend using? Why?

Airplane speeds are measured in three different ways: (1) indicated speed, (2) true speed, and (3) ground speed. the indicated airspeed is the airspeed given by an instrument called an airspeed indicator. a plane’s indicated airspeed is different from its true airspeed because the indicator is affected by temperature changes and different altitudes of air pressure. the true airspeed is the speed of the airplane relative to the wind. ground speed is the speed of the airplane relative to the ground. for example, a plane flying at a true airspeed of 150 knots into a headwind of 25 knots will have a ground speed of 125 knots. the problems below refer to static and dynamic pressure. static pressure is used when a body is in motion or at rest at a constant speed and direction. dynamic pressure is used when a body in motion changes speed or direction or both. a gauge compares these pressures, giving pilots an indicated airspeed. in problem #s 1 and 2, use the following information. the indicated airspeed s (in knots) of an airplane is given by an airspeed indicator that measures the difference p (in inches of mercury) between the static and dynamic pressures. the relationship between s and p can be modeled by s=136.4p√+4.5. 1. find the differential pressure when the indicated airspeed is 157 knots. 2. find the change in the differential pressure of an airplane that was traveling at 218 knots and slowed down to195 knots. in problem #s 3 and 4, use the following information. the true airspeed t (in knots) of an airplane can be modeled by t=(1+a50,000) ⋅ s, where a is the altitude (in feet) and s is the indicated airspeed (in knots). 3. write the equation for true airspeed t in terms of altitude and differential pressure p. 4. a plane is flying with a true airspeed of 280 knots at an altitude of 20,000 feet. estimate the differential pressure. explain why you think your estimate is correct.

Angle xyz is formed by segments xy and yz on the coordinate grid below: a coordinate plane is shown. angle xyz has endpoints at 3 comma negative 1 and 6 negative 2 and 3 comma negative 3 and measures 36.87 degrees. angle xyz is rotated 270 degrees counterclockwise about the origin to form angle x′y′z′. which statement shows the measure of angle x′y′z′?

Me. i can't figure out this question. give an explanation too. .