Mathematical Induction Questions and Answers

amplitude midline T 2 2 period phase shift TC 2 5 370

The area of a rectangle or square may be found by using the formula Area length x width Find the area of the geometric figure 10 8 m The area of the geometric figure is 10 8 x 13 1 Rectangle 13 1 m sq m Round to two decimal place

mass of 1 slug when attached to a spring stretches it 2 feet and then comes to rest in the equilibrium position Starting at t 0 an external force equal to f t 10 sin 4t is applied to the system Find the quation of motion if the surrounding medium offers a damping force that is numerically equal to 8 times the instantaneous velocity Use g 32 ft s2 for the acceleration due to gravity x t ft

A building 63 44 feet tall has a shadow that is 68 86 feet long Find the angle of elevation of the sun to the nearest hundredth of a degree The angle of elevation is degrees Round the nearest hundredth as needed

W Question 8 of 21 View Policies Current Attempt in Progress Journalize the following transact a b Incurred direct labor cos Assigned 4 900 direct la Credit account titles are automatic eg 52 75 and final answers to 0 de

2 WOU 043020280 qu Question 9 ding is bounded by three streets The building r roximate the ground area K covered by the buil

izzes 3952967 take on 9 me of your source is College and the America in text citation for a statistic that you foun 55 y 55

material to complete this problem Graph the equation 5 y zx Use the graphing tool on the right to graph the equation Click to enlarge graph 10 B 10 8 6 2 2 4 6 co 10

Consider the following demand and cost information for a monopoly Quantity 3 15 20 Price O 25 30 25 20 15 10 Total Cost 3 7 12 To maximize profit the monopolist sets price at 18 25

2 Use induction to prove for any natural number n that 1 3 32 3 31 1 1

National Trust advertises a 1 year certificate of deposit at 4 00 compounded daily with a minimum deposit of 10 000 First National offers a 1 year certificate of deposit at 4 25 compounded quarterly with no minimum deposit John Culbert has 20 000 to invest a Which bank should he choose b How much more would he earn on his 20 000 by choosing that bank

An equation is shown 5 186 26 What is the value of x to the nearest thousandth 1 What is the question asking 2 What does thousandth mean 3 How could you solve this 4 What is the best answer

Question 3 25 points The graph at the right models how one county fines driver s that get a ticket for speeding based on how many miles over the speed limit Based on the graph what would the fine be for a person that was ticketed for driving 61 mph in a zone that had a maximum speed limit of 50 mph 125 150 175 200 Question 4 25 points The function graphed on the coordinate Di 221 200 278 160 121 Fo 8 www 2010 70

Question 1 Multiple Choice Worth 1 points 02 01 MC 1 Q 2 S Which series of transformations will not map figure Q onto itself O x 2 y 2 reflection over y x 1

8 8r 5 52 3 6 5 5 8 2 3 5 4 3 5 1 1 2 3x 7 3x 1 z 6 2x 2x 2 6x 2 x DRAG AND 3x DRAG AND 42 5 DRAG AND

43 2 354 67 All percentage values in the answers need to include a pe places show both decimal places 5 06 Use the tax table below to calculate the tax of a head of househo If line 11b taxable income is At But least less than And you are Single Married Married filing filing jointly sepa rately 27 000 27 000 27 050 3 049 27 050 27 100 3 055 27 100 27 150 3 061 27 150 77 200 3067 Your tax is Head of a house hold 2 855 3 049 2 966 2 861 3 055 2 972 2 867 3 061 2 978 2873 3 067 2 984

59 Use the identity 1 x x x x pproximation n 1 x 1 X 1 x x x x to estimate the accuracy of the X

questions 1 What is the difference between continuous compound interest and compound interest formula s 2 What is the e in the continuous compound interest formula stand for

Dau venia NASA Grade 1660 Annual mean temperature anomaly 5 year average mean temperature anomaly UkenClub Games 1990 Change in global surface temperature relative to 1910 2000 average temperatures 1900 1910 1920 3 Refer to Figure 10 2 1930 1940 1930 3500 a What does the 0 in the y axis symbolize 1979 b How are temperature anomalies measured 1600 1990 2000 2010 Anomaly in 12 66 0 4 107 104 Figure 10 2 Change in Global Surface Temperatures Relative to the 1910 2000 Average Tip go to the UNEP GRID 160 website for an interactive version of this graph 06 2020

For a ride on a rental scooter Manuel paid a 3 fee to start the scooter plus 11 cents per minute of the ride The total bill for Manuel s ride was 11 36 For how

Complete the problem From Example 2 2 Nayan Patel purchases a compact vehicle with an MSRP of 17 980 00 including the destination charge and the title fee He selects a 6 way power front passenger seat which costs 10 times the amount of remote keyless entry The total cost of the compact vehicle including a 7 sales tax is 19 591 70 Find the cost of the power front passenger seat and the remote keyless entry

The two vertical rods attached to the light rigid bar in figure are identical except for length Before the load W was attached the bar was horizontal and the rods were stress free Determine the load in rod A if W 4500 lb A B 3 0 ft 1258 87 lb 4500 lb C 3157 89 lb A L 3 5 ft 3 0 ft B L 5 ft 2 ft W

Exam 3 Ch 6 7 i 4 TB MC Qu 06 74 Algo Duke Co Duke Company s unadjusted bank balance

Determine the saturation flow rate in veh h for a left turn lane that operates in a permitted only mode under the following conditions Opposing demand flow rate 1 100 veh h Lane width 11 5 ft Heavy vehicles 5 of the traffic stream Approach grade 3 No on street parking No bus stops Bicycle and pedestrian traffic conflicting with this lane group is negligible Intersection is not in a central business district X Your response differs significantly from the correct answer Rework your solution from the beginning and check each step carefully veh h

tion 9 vet ered ted out of ag question PC MATH1307 M O P Q R S Mathema A population of 80 rats is tested for 4 genetic muta mutation D 43 rats tested positive for mutation A 37 rats tested positive for mutation rat tested positive for all four mutations 5 rats tested positive for mutations A B

The velocity of water in a pipe slows down as it goes downstream due to friction and other losses Select one O True False

Pumps add energy to a fluid primarily in the form of increased velocity head Select one True O False

Major loss is always the main reason for headloss in pipe flows Select one O True O False

per person You and 2 friends have a job washing cars You split the money you make so that you each get the same amount On the first day the earnings are 75 On the second day the earnings are 84 On the third day the earnings are 105 How much money will you each get for those 3 days 214 per person 194 per person 264 per person

J a For all n E N prove that 13 24 0 e where 1 is in radians n 1 Hint Think about Taylor approximations of the function e b Prove that 1 720 C k 0 e k n 1 cos 1 13 24 1 1440

A tree on one side of a river is due west of a rock on the other side of the river From a stake 24 0 yards north of the rock the bearing of the tree is S 19 9 W How far is it from the rock to the tree rounded at least to the nearest tenth of a yard

7518519 quizzes 3952903 take estion 8 d the following passage and the information about its source Then decide whether the iarized or uses the source correctly If the student sample is plagiarized select Plagiariz eptable select Okay GINAL SOURCE WORDING Our four friends in The Wizard of Oz finally gain entry to the Wizard s palace b tration undam a quite alarming reservoir of liquid in the guard His face is quickly sodde extreme performance you are struck by the sheer number of occasions on which peop othy and the guard there is the Cowardly Lion who bawls when Dorothy bops him on ost rusts up again from weeping and Dorothy again while she is in the clutches of the e hydrophobic Witch could only have been closer at hand on one of these occasions th h shorter ndie Salman Out of Kansas The Wizard of Oz Writers at the Movies Twenty Six Conte ty Six Memorable Movies edited by Jim Shepard Harper 2000 pp 201 236 student wrote this The sheer number of occasions on which people cry in The Wizard of Oz is astoundin thy cries twice the Cowardly Lion cries and even the guard cries If only the hydropho nd all that water from crying could ve melted her away earlier in the film and thus sho

Consider the statement If two triangles are similar then they are congruent a Put this statement in the if then format b Indicate the negation of this statement in English c Indicate the contapositive of this statement in English d With respect to the properties Being similar and Being congruent for two triangles according to this statement which one is sufficient for the other and which one is necessary for the other For the toolbar

Prove by induction that n3 n is divisible by 3 for any natural number n For the toolbar press ALT F10 PC or ALT FN F10 Mac

BI U H V fx C D Applicable to Both Firms Capital EBIT Tax rate V E l l 3 000 000 wd 500 000 Int rate 35 Firms HD and LD are identical except for their use of debt and the interest rates th Based on the data given below calculate ROEHD and ROELD Firm HD s Data F 70 Wd 12 Int ra

TRIGONOMETRIC FUNCTIONS Using a trigonometric ratio to find for x in the triangle Round your an

QUESTION 25 The following graph shows results from regression model fitted with data from a study that f B

HW Score 0 0 of 17 points O Points 0 of 1 sea level of an airplane just after taking off from an airport on a high plateau is given by the linear function y 300x 3673 where y is in feet and x is the time in minutes since take off Find and interpret the slope and SITE OA m 300 The minutes since take off increases 300 for every foot of altitude b 3673 It takes 3673 minutes for the plane to get to the altitude of the airport from sea level B m 3673 The minutes since take off increases 3673 for every foot of altitude b 300 It takes 300 minutes for the plane to get to the altitude of the airport from sea level C m 3673 The altitude of the airplane increases 3673 feet every minute b 3673 The altitude of the airport where the airplane took off is 300 feet above sea level D m 300 The altitude of the airplane increases 300 feet every minute b 3673 The altitude of the airport where the airplane took off is 3673 feet above sea level

Two gage marks are placed exactly 10 in apart on a 1 2 in in diameter aluminum rod with E 10 1 X 106 psi and an ultimate strength of 16 x 103 psi Knowing that the distance an ultimate strength of 16 x 10 psi Knowing that the distance between the gage marks is 10 009 in after a load is applied determine the stress in the rod Choose ONLY one answer a 9 09 x 10 psi b 5 21 x 10 psi c 6 05 x 10 psi d 7 22 x 10 psi A ELA P L L Select one Formals Sheet ac solid sha 2x T al 779 FS Power Figy F Fa 2 EL S on factor

Find a cofunction with the same value as the given expression COS The answer is Type an exact answer in terms of Simplify your answer

1 Which statement applies to the spe a This method is also known as the a b The ending inventory is made up of c Each unit sold is identified with a s d This is closely related to a perpetua

Write the equation of the ellipse that has a center at 1 6 a focus at 4 6 and a vertex at 6 6 Show Transcribed Text

Tom Cruise Lines Incorporated issued bonds five years ago at 1 000 per bond These bonds had a 25 year life when issued and the annual interest payment was then 15 percent This return was in line with the required returns by bondholders at that point as described below Real rate of return Inflation premium Risk premium Total return 4 6 5 15 Assume that five years later the inflation premium is only 3 percent and is appropriately reflected in the required return or yield to maturity of the bonds The bonds have 20 years remaining until maturity Compute the new price of the bond Use Appendix B and Appendix D for an approximate answer but calculate your final answer using the formula and financial calculator methods

Tremaine is mailing a package to his grandmother Which tool and unit could be used to measure the weight of the package2

7 Consider the curve whose equation is y 2 cos a Determine the exact period of this sinusoidal function b What is the amplitude of this sinusoidal function c What is the midline value of this sinusoidal function d Sketch the function on the axes for a full period on both sides of the y axis Label the scale on x 3 8 Tun CICULAR FUNCTIONS LESSON 8 84

4 Which expressions can never result in a negative real number when evaluated for any value of x a Select all that apply A x OD and E OC D and E O A B and C B x C x 4 D x E x

Match the truth tables with logical operators Negation Conjunction Disjunction Implication Biconditional A B D P 9 P q TTT TFF FTF FFT PqpVq TTT TFT FTT FFF PP TF FT PqpAq TTT TFF

FLUENCY 1 Sketch each of the following equations on the graph y 4sin x 2

2 Leslie works for Blanck Corporation His annual salary is 57 285 50 a What is Leslie s annual Social Security deduction b What is Leslie s annual Medicare deduction c Leslie is paid every other week What is his biweekly gross pay

A company that produces fine crystal knows from experience that 15 of its goblets have cosmetic flaws and must be classified as seconds Round your answers to three decimal places LAUSE SALT a Among seven randomly selected goblets how likely is it that only one is a second b Among seven randomly selected goblets what is the probability that at least two are seconds c If goblets are examined one by one what is the probability that at most five must be selected to find four that are not seconds You may need to use the appropriate table in the Appendix of Tables to answer this question