Counting Principle A license plate in a particular county

According to monetarists how should budget deficits be handled Deficits are acceptable because they are offset by growth in the GDP Deficits should never exceed 20 of the entire fiscal year budget The government should borrow Otwice as much as needed to cover a deficit to stimulate demand

You and your friend want to take graduation pictures with a few of your fellow computer science class mates making 10 of you in total You hired a very expensive photographer for the occasion and want to make the most of the experience You want to select four students to stand in the front of the group in a line In how many ways is it possible to take the pictures such that a you have a place at the front of the group photo b you and your friend have a place together at the front of the group photo

Sketch the graph of the function Include two full periods Use a graphing utility to verify your result y 2 sec 2x 1 I 4 U 4 3 4 2 y

Changes in the timbre or tone color in a piece of music

c Write down the minimum height of point P 1 Later the cat is tired and it takes twice as long for point P to complete one revolution at a new constant rate d Write down the new value of b

The pressures caused by pure tones on the eardrum are sinusoidal The change in pressure P in pounds per square foot on a person s eardrum from a pure tone at time t in seconds can be modeled using the equation P Asin 2xft d where f is the frequency in cycle per second and is the phase angle When P is positive there is an increase in pressure and the eardrum is pushed inward when P is negative there is a decrease in pressure and the eardrum is pushed outward A graph of a tone P t 008 sin 2x 274 42 t shown to the right Complete parts a through c below 2 274 421 is 008 Q 005 Q 008 a Determine algebraically the values of t for which P 0 over 0 005 The solution set is Round to five decimal places as needed Use a comma to separate answers as needed b From the graph and your answer in part a determine the interval for which P 0 over 0 005 Type your answer in interval notation c Would an eardrum hearing this tone be vibrating outward or inward when P 0 Outward

Irina uses a set of coordinate axes to draw her design of a window The base of the window is on the 2 axis the upper part of the window is in the form of a quadratic curve and the sides are vertical lines as shown on the diagram The curve has end points 0 10 and 8 10 and its vertex is 4 12 Distances are measured in centimetres The quadratic curve can be expressed in the form ya br c for 0 8 a Write down the value of c a ill Hence find the equation of the quadratic curve b Find the area of the shaded region In Irina s design

18 What happened to Wade the day after he completed the first task that changed his life for the better

Question 3 A baker uses the expression 5 75c 3 45p to calculate his profit when he sells c cakes and p pies What is the baker s profit in dollars when he sells 33 cakes and 42 pies

11 Find w to find the measure of the exterior angle 13 Find mZH W 68 6x 1 H 126 F G 5x 17 12 Find x to find the measure of the remote interior angle 46 134 14 Determine the measure of the indicated exterior angle in the diagram 3x 4 15 Match each angle with its corresponding measure given m21 130 and m 7 70 Indicate a match by writing the letter for the angle on the line in front of the corresponding angle measure A mz2 B m23 C m24 D m25 E mZ6 50 60 70 110 120 16 The map of France commonly used in the 1600s was significantly revised as a result of a triangulation survey The diagram shows part of the survey map Use the diagram to find the measure of ZKMJ Note that ZKMJ ZNKM LA ROCHELLE 104 Rochefort 88 48 M N