Questions

trapezoid B Note Figures not drawn to scale Trapezoid A and trapezoid B shown are similar The length of each side of trapezoid A is 8 times the length of the corresponding side of trapezoid B The area of trapezoid A is how many times as large as the area of trapezoid B A 8 B 16 C 32 D 64 Lviy 8 8

When you first came into this class did you have any notions about how human sexuality may differ from our mammalian cousins Has that changed In order to get the full 10 points you must do all of the following to my satisfaction 1 Fully and concisely answer the question be specific in any examples you provide up to 6 points 2 Keep to the word limit of 200 words Obviously if you are too far below the word limit you will probably not be fulfilling 1 1 point 3 Spell check and use correct grammar and sentence structure 3 points

2 6 2 2 sin x cos a 3sin acos x sina 0 Calculate angle alpha

The demand function for a certain brand of compact discs is given by P 3x 5x 46 where p is the wholesale unit price in dollars and x is the quantity demanded each week measured in units of a thousand a Compute the price p when x 3 Price p ted Rates Course Packet on computing elasticity of demand using implicit differentiation dollars b Use implicit differentiation to compute the rate of change of demand with respect to price p when x 3 Do not round your ar Rate of change of demand x thousands of units per dollar Elasticity of Demand c Compute the elasticity of demand when x 3 Do not round your answer

Question

Lesson 15 2 Checkpoint Once you have completed the above problems and checked your solutions complete the Lesson Checkpoint below Complete the Lesson Reflection above by circling your current understanding of the Learning Goal 1 Find the following angle measures of the inscribed quadrilateral mzRQP mzPSR m SRQ m2QPS 5x 20 10x R 7x 8

Find mcDAB DAB DEB mzDAB 63 3 Find mX2 108 18 126 43 mDE mEB Arc Addition Postulate For 2 3 use Circle C 2 Find mWX Inscribed Angle Theorem Your Turn Use the Inscribed Angle Theorem to find missing angle measures 1 Find the arc measure of CE Substitution Simplify X W Y SA C 9 106 Z

1 m MPK 2 MPE 61 M 127 D O 134 111

2 Determine the restriction on the radical equation a x 5 4 c 2x 3 6 b 9 x 5 d 10x 8 3 x

Your Turn Determine the unknown values in each figure 1 117 h 2 4 m CDA 45 Elaborate Problems 3 6 requires you to apply your knowledge from Lessons 15 1 through 15 3 Refer to the figure for Problems 3 6 AB is tangent to OC at point B and AD is tangent to OC at point D Determine the angle measures 3 m BCD 5 m BED 6 m DBA N 5 32 B

1 Reflect Both lines in the figure are tangent to the circle and AB is a diameter What can you conclude about the tangent lines

HW Complete problems 1 7 for independent practice Find the measure of the arc or central angle for the following circles 1 Find the measure of ZRQS R S D Use the Inscribed Angle Theorem to find missing angle measures 2 Find the measure of ZD 124 3 Find the arc length of BC 4 Find the measure of LD When you are finished check the solutions with your teach 134

Lesson 15 4 Checkpoint Once you have completed the above problems and checked your solutions complete the Le below Complete the Lesson Reflection above by circling your current understanding of the Learni 1 Find the value of x and J M 6 X N L H K 10 2 Find the value of y and the length of each secant segment y 18 7 N J 10 M 9 L

HW Complete problems 1 4 below for independent practice When you are finished check the solutions with your teacher For 1 and 2 use the figure on the right LK and LM are tangent to the circle Both KJ and MJ connect to the center of the circle at point J K 1 What is the measurement of ZKJM 2 What is the measurement of ZLMJ 60 4 What is the measurement of LADC and LABC L For 3 and 4 use the figure on the right CB and CD are tangent to the circle Both BA and DA connect to the center of the circle at point A 3 What is the measurement of BCD M B 127 G Optional Complete problems 4 8 13 16 18 19 from your textbook on separate lined paper for extra practice

1 Find the value of x Round the answer to the nearest tenth or leave it in radical form 6 O B 4 X C 2 On a bird watching trip you travel along a path tangent to a circular pond to lookout station that faces a hawk s nest Given the measurements in the diagram on your bird watching map how far is the nest from the lookout station Nest X 25yd Lookout Station 100yd Path

Lesson 15 3 Checkpoint Once you have completed the above problems and checked your solutions complete the Less Checkpoint below Complete the Lesson Reflection above by circling your current understanding of the Learning Use the figure below for 1 and 2 T R S 42 P 1 PR is tangent to circle Q at R and PS is tangent to circle Q at S Find mZRQS 2 Use your knowledge of central and inscribed angles to find m RTS

Critiquing Your Friend s Work Your friend was asked to solve for the value of y using secant secant product theorem but solved for it incorrectly Help your friend by explaining or demonstrating how to solve for y correctly 2 Solve for y Your Friend s Work HL JL NL ML y 10 27 9 10y 243 y 24 3 y 24 3 Your Work N H y 18 J 10 M 9

Your Turn Find the measure of the arc for the following circles 1 Find the measure of RS OF O 2 Find mBD If mEF 45 and mZACD 56 determine mBD using the appropriate theorems and postulates AE BF and DC intersect at Point C 3 Find the value of x 4x 21 VAW 78

Try This For the given image name the 2 tangent lines and the points of tangency For the given image name the 2 tangent lines and the 3 points of tangency Tangent lines Points of tangency EXPLAIN 1 Proving the Tangent Radius Theorem Read the section below and complete the following activity adapted from Lesson 15 3 Tangent Radius Theorem If a line is tangent to a circle then it is perpendicular to a radius drawn to the point of tangency C

Checkpoint Once you have completed the above problems and checked your solutions complete t below Complete the Lesson Reflection above by circling your current understanding of the L 1 Find the value of x given m2SAR 7x 7 and mzSQR 9x 7 e 9x 17 7x 7 R S 9x 7 2 Find the value of x Then find the measure of RQ mRP 9x 17 mfQ 6x 1Z meRPQ 5x 15 Given Sr 15 R 6x 12

When you first came into this class did you have any notions about how human sexuality may differ from our mammalian cousins Has that changed In order to get the full 10 points you must do all of the following to my satisfaction 1 Fully and concisely answer the question be specific in any examples you provide up to 6 points 2 Keep to the word limit of 200 words Obviously if you are too far below the word limit you will probably not be fulfilling 1 1 point 3 Spell check and use correct grammar and sentence structure 3 points

Let x5 6 5x 4y 3 Computeat at 1 1

Let xy 5x y 2 17 Computeat 4 1

2 Let V 25 5 1 1 1 1 1 1 Use Lagrange polynomials to find V

Convert to logarithmic form z 101 log

Practice Pedigrees Determine the inheritance pattern of each of the following pedigrees Then label the genotypes of each individual in the pedigrees I 606 2017 od 4

To approximate the area of a lake a surveyor walks around perimeter of the lake taking the measurements shown in illustration Using this technique what is the approximate of the lake 35 ft 40 ft 80 ft 20 ft 100

Convert to exponential form log x y

Convert to logarithmic form 216 log

Convert to logarithmic form 35 243 log www

If f x 4x 3 compute the first second and third derivative of f x f x f x f x Submit Answer

If f x f x f x 2x compute the first and second derivatives of f x 4x 9 Submit Answer E

If f x 9x3 9x3 f x f x f x 1 3x 3x 7x 5 compute the first second and third derivative of f x 1

12 1 point The approximate time t in seconds that it takes an object to fall a distance of d feet is given by t object fall in 8 seconds 128 feet 64 feet 16 384 feet 1024 feet d How far will the 16

Find all points on the curve y 10 tanx x 2 x x 2 where the tangent line is parallel to the line y 40x Sketch the curve and tangent line s together GETED Identify all points on the curve y 10 tanx x 2 x 2 where the tangent line is parallel to y 40x

Simplify the expression m 15 M 7 Om 0200 Previous 15 m 2 NIHI m 1 5

Required information An insurance company examines the driving records of 100 policyholders They find that 78 of them had no accidents during the past year 17 had one accident 3 had two and 2 had three Find the mean number of accidents Round the final answer to two decimal places

Let A be an 3 x 3 invertible matrix such that 2 is an eigenvalue of A with the corresponding eigenvector v Then one of the following is true O a 8 is an eigenvalue of A2 with the same eigenvector v O b is an eigenvalue of A with eigenvector different from u O c 2 is an eigenvalue of AT with eigenvector may differ from u O d None O e 2 is an eigenvalue of A with the same eigenvector v

Required information Suppose that the table presents detailed information on the volatile compound composition of base wines made from each of 16 selected yeast strains Following are the concentrations of total esters in mg L in each of the wines 260 91 144 39 658 38 173 01 229 55 312 95 172 79 139 38 105 14 197 81 295 24 155 42 199 81 303 28 188 72 256 02

The integrating factor of the following first order linear ODE xy 2y cosx is O a e x O b ex O c x d None e X

Required information A sample of 100 cars driving on a freeway during a morning commute was drawn and the number of occupants in each car was recorded The results were as follows NOTE This is a multi part question Once an answer is submitted you will be unable to return to this part Occupants Number of Cars 67 The sample standard deviation is 2 12 3 16 4 3 5 2 Find the sample standard deviation of the number of occupants Round the final answer to two decimal places

One of the following functions is a solution of the second linear ODE y y 0 O a None O b y x sin 3x O c y x sin x O d y x sin 2x

The article Hydrogeochemical Characteristics of Groundwater in a Mid Western Coastal Aquifer System S Jeen J K et al Geosciences Journal 2001 339 348 presents measurements of various properties of shallow groundwater in a certain aquifer system in Korea Following are measurements of electrical conductivity in microsiemens per centimeter for 23 water samples 2099 1265 488 461 528 375 200 500 2030 424 215 1350 789 486 1018 810 257 Find the standard deviation Round the final answer to two decimal places 384 522 557 1499 513 260

Draw the Shear and Moment Diagram showing all the values find the max moment and find the shear and moment at x 9 120 lb ft

Required information Each of 16 students measured the circumference of a tennis ball by four different methods which were A Estimate the circumference by eye B Measure the diameter with a ruler then compute the circumference C Measure the circumference with ruler and string D Measure the circumference by rolling the ball along a ruler The results in cm are given below in increasing order for each method A 18 0 180 18 0 200 220 220 225 229 24 0 24 0 25 0 25 0 25 0 25 0 26 0 26 4 B 18 8 18 9 18 9 19 8 20 1 20 4 20 4 20 4 20 4 20 5 212 217 220 220 220 23 6 C 20 2 20 5 20 5 207 208 209 210 210 21 0 21 0 210 21 4 215 215 215 21 6 D 20 0 20 0 20 0 20 0 20 2 20 5 20 5 20 6 20 7 20 7 21 0 213 215 21 6 221 22 3 Compute the 20 trimmed mean measurement for each method Method A Method B Method C cm cm cm

Required information Each of 16 students measured the circumference of a tennis ball by four different methods which wer A Estimate the circumference by eye B Measure the diameter with a ruler then compute the circumference C Measure the circumference with ruler and string D Measure the circumference by rolling the ball along a ruler The results in cm are given below in increasing order for each method A 18 0 18 0 18 0 20 0 22 0 22 0 22 5 22 9 24 0 24 0 25 0 25 0 25 0 25 0 26 0 26 4 B 18 8 18 9 18 9 19 8 20 1 20 4 20 4 20 4 20 4 20 5 21 2 21 7 22 0 22 0 22 0 23 6 C 20 2 20 5 20 5 20 7 20 8 20 9 21 0 21 0 21 0 21 0 21 0 21 4 21 5 21 5 21 5 21 6 D 20 0 20 0 20 0 20 0 20 2 20 5 20 5 20 6 20 7 20 7 21 0 21 3 21 5 21 6 22 1 22 3 Compute the first and third quartiles for each method Method A First quartile cm Third quartile Method B First quartile cm Third quartile Method C First quartile cm Third quartile Method D First quartile cm Third quartile cm cm cm cm

The matrix O a None O b O c O d 1 2 2 J ED 0 O e TH TH 3 2 1 1 2 2 2 3 14 1 2 3 0 N W 2 1

Oa None O b The general solution Oc The highest derivative in the differential equation O d The phase portriat of ODE

One of the following is a solution of the differntial equation y y 0 1 X O b x O c O d O a None 2 e 2 T Flag question 2

One of the following ODES is a separable ODE O a None O b xdx 2x dy 0 x 2 O c x 3 y dx 3x 2y dy 0 O d x y dx 2y x dy