Sequences & Series Questions and Answers

To qualify as a contestant in a race a runner has to be in the fastest 16 of all applicants The running times are normally distributed with a mean of 58 min and a standard deviation of 6 min To the nearest minute what is the qualifying time for the race The qualifying time for the race is O 16 O 52 64 O 40 min

A set of data has a normal distribution with a mean of 53 and a standard deviation of 7 Find the percent of data within the following interval less than 53 The percent of data within the given interval is 50 O 51 O 54

Match each question a 380 is 1 1 90 x 1 380 1 190 3 b 190 is v 1 90 x 380 1

T How many halves www Write the question 2 2

101 102 10 01 10 0 03 10 01 10 01 01 20 6 1 6 1 1 1 1 1 6 1 W DIN VIA WIN Wir wir OA W W H b

c Rewrite the addition 4 UT A W A W A W P 34 01 13 1 20 2

75 The rectangle is divided into 10 equal parts Determine 1 a 1 O Yes it can be represented by shading 1 par Yes it can be represented by shading 2 par Yes it can be represented by shading 5 pa

a Rewrite the addition prob 011 20 12 2 N 2

Make a bar graph to display the data in the table Profit thousands of d Irs Week 1 2 3 4 5 15 26 10 17 Weekly Profit

Use U 1 2 3 4 5 6 7 8 9 10 A 1 2 3 B 3 5 7 8 and C 1 2 5 to find the given set AUB NC Select the correct choice below and if necessary fill in the answer box to complete your choice OA AUB nC Use a comma to separate answers as needed OB The solution is the empty set

22 Another gym Good As New has a sign up fee equal to the mean of all the sign up fees in the table What is the sign up fee for Good As New F 8 G 15 H 20 J 30 K 58

table Duration sec X hal Probability

Q3 Suppose an experimental population of fruit flies increases according to the law of exponential growth There were 100 flies after the second day of the experiment and 300 flies after the fourth day Approximately how many flies were in the original population

Consider the following sequence a1 2 2an 1 6 an 1 1 4 Which of the following describes how we approach the inductive step in proving that for all n an even an Prove outright that for all n an is even Assume that an 1 is even and prove that an is even Assume that an 1 is even and prove that an is even

Find the area of the shaded region below Assume that given measurements are exact and round approximate answers to the nearest tenth of a squa mm 17 mm 10 mm 15 mm 18 mm

Samantha made 3 025 in simple interest over a 5 year period on an initial deposit of 25 000 What was her interest rate

Consider the linear system Find the eigenvalues and eigenvectors for the coefficient matrix A A and A 0 and 2 1 21 2 3 For each eigenpair in the previous part form a solution of A Use as the independent variable in your answe A 1 3 1 0 4 A 1 4 2 help formulas help matrices edfinity com help formulas help matrices 1 1 help numbers help matrices help numbers help matrices 2e Does the set of solutions you found form a fundamental set i e linearly independent set of solutions

Question 13 of 25 An atom of gold has a m notation

Question 7 of 25 Step 1 of 1 A total of 5000 is invested part at 10 and the AnswerHow to enter your answer opens in new window ad x

Promenade Limousine Rental You and your friends are planning to go to prom To rent a limo it will cost 200 and an additional 25 for refreshments for each passenger You ve already confirmed that you and your best friend will be going However your other three friends haven t gotten back to you yet Each friend including yourself will bring along their prom date so the possible number of guests is 4 through 10 in groups of 2 You need to make a quick budget to split up the potential costs so you utilize some of your mathematics know how For this Performance Task use these definitions to make sense of the problem and to calculate your final answers Promenade Dance A promenade dance or prom is a semi formal black tie dance that is typically held near the end of the senior year Limousine A limousine or limo is a luxury sedan vehicle generally driven by a chauffeur and with a partition between the driver and the passenger compartment Cost Equation The formula used to calculate costs is Total Cost Variable Costs Fixed Costs Variable costs as opposed to fixed costs are those that change based on the amount of some variable 1 Write a function for the cost where x is the number of passengers 1 point 2 Cost Identify the domain of this function 1 point Domain

Annual depreciation Current year s loan interest Insurance License and registration fees Parking tolls Total variable cost Total fixed cost 2 100 Annual mileage 660 Miles per gallon Average gasoline price 68 Oil changes repairs 452 513 990 LA LA 8 a Compute the total annual operating cost of the motor vehicle Round your answers to the nearest whole dollar 22 700 24 cents per mile 3 80 per gallon Compute the operating cost per mile Input your answer in cents rounded to 1 b decimal place

c n 1 6n 3 7n

n n 15 4 5 2 To test S for convergence by a direct application of the integral test one would calculate Consider the series S S 15 Fill in the corresponding integrand and the value of the improper integral Enter a number if possible or inf for co inf for co or div if no earlier in n n 15 n 4 5 2 According to the Integral Test the series S OA converges OB diverges OC not enough information to determine dz

Which could be the function graphed below Of x x 2 Of x x 3 1 Of x 2x 4 X

Which equation is the inverse of y 100 x Oy 100 x y 10 x y 100 x y x 100 O

What is the domain of the square root function graphed below 6 4 du O x 1 O x2 1 O x 0 O x20 q 2 6 X

Find the inverse of the function y x 12 Oy x 12 Oy x 12 x 12 y x 12 O

Use the inverse of the function y x 18x to find the unknown values b C d y bx c d

It takes Collin 20 hours to rake the front lawn while his brother Armando can rake the lawn in 16 hours How long will it take them to rake the lawn working together Round your answer to two decimal places

Juwan can shovel the driveway in 5 5 hours but if his sister Kayla helps it would take 5 hours How long would it take Kayla to shovel the driveway alone

Jose can lay a slab of concrete in 15 hours while Jamal can do it in 12 hours If Jose and Jamal work together how long will it take Round your answer to two decimal places

Ryan trained for 5 hours yesterday He ran 16 miles and then biked 42 miles His biking speed is 6 mph faster than his running speed What is his running speed mph

Dustin jogged to his friend s house 7 2 miles away and then got a ride back home It took him 3 hours longer to jog there than ride back His jogging rate was 10 mph slower than the rate when he was riding What was his jogging rate

A private jet can fly 1305 6 miles against a 21 mph headwind in the same amount of time it can fly 1574 4 miles with a 21 mph tailwind Find the speed of the jet

Natalie wanted to lose some weight so she planned a day of exercising She spent a total of 5 hours riding her bike and jogging She biked for 24 miles and jogged for 24 miles Her rate for jogging was 4 mph less than her biking rate What was her rate when jogging mnh

Consider this right triangle A 36 C 15 39 B Enter the ratio equivalent to sin A

Select an expression that is equivalent to A

3 Is I 1 a factor of 1 2x 7x 8 O No O Yes

Determine whether 1 is a factor of 4x 2x 1 I 1 Select an answer of 4x 2x 1 Select an answer Questi is a factor is not a factor Example Post to forum

An engine will stall when the fuel pressure falls below zero psi ie when P t is negative The fuel pressure at a given temperature is modeled by the formula t 2 7 0 8 1 where t is measured in C Rounded to the nearest whole degree at what temperature will the engine stall Hint You may want to graph the polynomial function When the temperature is below 5 C When the temperature is above 5 C When the temperature is below 8 C When the temperature is above 8 C

Which polynomial function has a y intercept at y 2 and x intercepts at 1 1 and 2 x 2x 3x 3x 2 8 x x x x 6x 12x 8 21 X 2

Which polynomial function graphed below that has a real zero of multiplicity 2 N O 3

Question 1 12 5 points Rewrite the exponential equation as a logarithm 25 32 O log 2 32 log 32 5 O 108322 5 log 5 32 Question 2 12 5 points Rewrite the exponential equation as a logarithm x e O In x 3 x ln 3 log 3 e O logx

Simplify the expression 4x7 2x Evaluate using properties of exponen 625 4

A normal temperature for a certain animal is72 9 F If a temperature x that differs from the normal by at least 1 5F is considered unhealthy write the condition for an unhealthy temperature x as an inequality involving an absolute value and solve for x

2 Part 2 of 2 1 25 points As of June 30 Year 1 the bank statemen was 15 948 The following information i 1 Deposit in transit 2 575 2 Credit memo in bank statement for int 3 Outstanding check 3 418 4 Debit memo for service charge 14

5 Part 2 of 2 1 25 points Rick Hall owns a card shop Hall s Ca As of August 31 the bank statements of Hall s Cards is 10 102 A review of 1 A deposit of 1 580 on August 31 2 It was discovered that a check to recorded on the books as 4 415 3 When checks written during the n were found to be outstanding 4 A debit memo for 37 was includ

According to a recent Gallup Poll 18 of Americans believe that healthcare is the most important problem in America Let be the proportion of people who believe that healthcare is the most important problem in America out of a random sample of 898 Americans Determine the following probabilities Round probability solutions to four decimal places and values to two decimal places if necessary Find the probability that in a random sample of 898 Americans at least 153 people believe that healthcare is the most important problem in America P p Find the probability that in a random sample of 898 Americans between 144 and 198 people believe that healthcare is the most important problem in America P p

Which graph represents an exponential growth function 10 8 54 10 6 Wy 6 99 10 101x 8 N 4 6 8 10 x

Evaluate using the correct order of operations 5 18 14 15 5 3 25 4