Basic Math question and answers for August 16, 2024
- Q Jacob is a teacher and takes home 58 papers to grade over the weekend. He can grade at a rate of 15 papers per hour. Write a recursive sequence to...
- Q An author published a book which was being sold online. The first month the author sold 3500 books, but the sales were declining steadily at 12% each month. If this...
- Q In a lab experiment, the decay of a radioactive isotope is being observed. On the first day of the experiment the mass of the substance was 1200 grams and mass...
- Q Ian is a teacher and takes home 46 papers to grade over the weekend. He can grade at a rate of 11 papers per hour. Write a recursive sequence to...
- Q Aubrey opened a savings account with $1400 that pays no interest. She deposits an additional $70 each week thereafter. Write a recursive formula to show how much money Aubrey has...
- Q Consider the Taylor polynomial T?(x) for f(x)=?x at a = 4. Use Taylor's inequality to estimate the accuracy of the approximation f(x)? T?(x) when x lies in the interval 2...
- Q Aubree invested $1200 in an account that pays 4.5% interest compounded annually. Assuming no deposits or withdrawals are made, write a recursive formula that represents the amount of money Aubree...
- Q You rent an apartment that costs $1300 per month during the first year, but the rent is set to go up $120 per year. What would be the monthly rent...
- Q Claire opened a savings account with $1800 that pays no interest. Shedeposits an additional $160 each week thereafter. Write a recursiveformula to show how much money Claire has in the...
- Q Find an and a5 for the following geometric sequence.a1= 162, r=-3
- Q The numbers of seats in the first 12 rows of a high-school auditorium form an arithmetic sequence. The first row has 9 seats. The second row has 11 seats.a. Write...
- Q There are 125 passengers in the firstcarriage, 150 passengers in the secondcarriage and 175 passengers in the thirdcarriage, and so on in an arithmeticsequence. What's the total number ofpassengers in...
- Q Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that R(x) ? 0.]f(x) = In(x),a...
- Q Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not show that R(x) ? 0.]f(x) = e-4x
- Q What is the next fraction in this sequence? Simplify your answer.4/9, 7/18, 1/3, 5/18, ...
- Q Tara owns a pizza shop. The item purchased most frequently from her shop is a large pizza. For any order, Tara charges $7.00 for each pizza plus $3.00 for delivery...
- Q Given nt+1= = nt + 3.6 and n4 = 12.6:a) Make a table for the first five terms.b) Find n20 and n_22.c) Find the t for which n 102.6 and...
- Q Suppose the newest version of your favorite Smartphone comes out today. Assume that a total of 20 people goes to your local cell phone dealer to purchase this phone today...
- Q For the arithmetic sequence with a, = 2 and d=5, find each:(a) the first five termsThe first five terms of the arithmetic sequence are (b) the 12th termThe 12th term...
- Q For the geometric sequence with a 32 and r= -1/4, find each(a) the first five terms(b) the 12 term(c) the sum of the first 12 terms, rounding values to two...
- Q For the arithmetic sequence with a? =7/3 and d=-15/8Part 1 of 3(a) the first five termsThe first five terms of the arithmetic sequence are(b) the 12th term(c) the sum of...
- Q Element X decays radioactively with a half life of 14 minutes. If there are 230 gramsof Element X, how long, to the nearest tenth of a minute, would it take...
- Q Determine if the sequence is arithmetic. If it is, find the common difference and the explicit formula.-22, 122, -222, -322, ..
- Q Mrs Brown has $1000 to invest into an account that earns 7% interest each year. Would this be arithmetic or geometric?geometric arithmetic No answer text provided.No answer text provided.
- Q Find the common difference and the explicit formula.21, 179, -379, -579, ...Common Difference: d = - 200Explicit: an = 221 - 200nCommon Difference: d = - 202Explicit: an = 20...
- Q 6, 7, 13, 20, 33, 53,Select the correct choice below and, if necessary, fill in the answer box to complete your chA. The sequence is geometric. The next term is...
- Q Given the following list of numbers of candy bars sold at a shop in the last few days, find the mean.
- Q Determine how many primes there are in the ranges: 1-1000, 1001-2000, and so on up to 9001-10000. Can you see why the Greeks might have wondered if they would run...
- Q 8. Sally, Mariah, and Devin visit a bakery. Sally buys 3 biscuits and 2 muffins for $10.50. Mariah buys 2 muffins and 2 cupcakes for $14.00. Devin purchases 2 biscuits...
- Q Mr. Murphy's company used a total of 5000 gallons of gasoline in the year 2007. Mr. Murphy planned to reduce the amount of gasoline used by his company each year...
- Q A pair of women's running shoes cost $110 in 2004 and the same shoes cost $135 in 2008 due to inflation.a. Develop an exponential model to describe the rate of...
- Q Solve the system of equations graphically.y = 3x + 10y=-6x-26Select the correct answer below and, if necessary, fill in any answer boxes to complete your choice.A. The solution of the...
- Q For each sequence, decide whether it could be arithmetic, geometric, or neither.a. 25, 5, 1,...b. 25, 19, 13,...c. 4, 9, 16,...d. 50, 60, 70,...e. 1, 3, 18,...For each sequence that...
- Q A geometric sequence g starts 80, 40,...amaldon saitased noa. Write a recursive definition for this sequence using function notation.b. Use your definition to make a table of values for g(n)...
- Q A piece of paper has an area of 96 square inches..a. Complete the table with the area of the piece of paperA(n), in square inches, after it is folded in...
- Q Sam and Drew decide to mow lawns during their summer break with different companies. Sam gets a flat $15.00 every day plus $8.00 for every yard he mows. Drew gets...
- Q List the first 4 terms of this sequence.2) Write an expression to represent f(20).3) A person is trying to quit chewing gum. They decide they willhave 64 pieces in week...
- Q I.A-Directions: Find the next three terms of the given sequences1.-7,-9,-11,-13.-15-17-192. 3.2, 4.3, 5.4,6-5, 7-6,87I.B. Write the first three terms of the sequence whose nth term is given by the rule.1....
- Q On January 1, 2010, Allison put 1 penny into her piggy bank. Each month, she put 3 more pennies into her piggy bank than she put the previousmonth.How many pennies...
- Q Determine if the sequence with the following pattern: 1.25, 2.5, 5, 10, 20, ... is arithmeO The sequence is geometric.O The sequence is arithmetic.The sequence is neither arithmetic nor geometric
- Q Find the 10th partial sum of the sequence 6144, -3072, 1536, -768...O 12,276O 4,104O 12,264O 4,092
- Q Let p, q, r be positive integers such that q/p is an integer if p, q, r are in geometricprogression and the arithmetic mean of p, q, r is q+5,...
- Q Write the first five terms of the sequence.f(0) = 8: f(n) = f(n-1) + 3f(0)f(1) =f(2)=f(3) =(4) -
- Q Graph f(x) = -5x.Use the graphing tool to graph the function.
- Q Sasha went to a champagne brunch and had several glasses of champagne.She estimated her blood alcohol level was 0.12. She knows a safe drivinglevel for someone of her weight is...
- Q A tennis ball bounces on the ground n times. The heights of the bounces, h?, h2, h3,..., hn,form a geometric sequence. The height that the ball bounces the first time,...
- Q The 1st, 5th and 13th terms of an arithmetic sequence, with common difference d. d + 0.are the first three terms of a geometric sequence, with common ratio r. r...
- Q Here are the values of the first 5 terms of 3 sequences:A: 30, 40, 50, 60, 70, . . .B: 0, 5, 15, 30, 50, . . .C: 1, 2,...
- Q A sequence of numbers follows the rule: multiply the previous number by -2 and add3. The fourth term in the sequence is -7.a. Give the next 3 terms in the...
- Q Match each sequence with one of the recursive definitions. Note that only the par the definition showing the relationship between the current term and the previo term is given so...
- Q Penn stacks all of his snowballs in a square pyramid.The number of snowballs, P(n), in n layers of the square pyramid is given byP(n)=P(n-1) + n.Which could not be the...
- Q What is the explicit formula for the geometric sequence with this recursiveformula?a1=-6an=an-1*1/4A. 3, --4. (1) (-)=O B. , - (-4) (-1)6CO C. anC. an= 1/1 (-6) (-1)D. an -6. (1)-1)=
- Q Many credit card companies charge a compound interest rate of 1.8% permonth on a credit card balance. Miriam owes $550 on a credit card. If shemakes no purchases or payments,...
- Q Two large numbers of the Fibonacci sequence are F(49) - 7,778,742,049 andA(50) = 12,586,269,025. If these two numbers are added together, whatnumber results?A. F(51)B. F(99)C. F(52)D. F(54)
- Q Ahmed is working at a burger joint. His boss pays him $6.50 per hour andpromises a raise of $0.25 per hour every 6 months. Which sequencedescribes Ahmed's expected hourly wages,...
- Q A particular strain of bacteria triples in population every 45 minutes.Assuming you start with 50 bacteria in a petri dish, how many bacteria willthere be in 4.5 hours?O A. 7015OB....
- Q Ezra is training for a track race. He starts by sprinting 100 yards. He graduallyincreases his distance, adding 5 yards a day for 21 days.The explicit formula that models this...
- Q Select the answers that best complete the given statements.A sequence in which each term after the first differs from the preceding term by a constant amount is called a/an geometric...
- Q The sequence given is defined using a recursion formula. Write the first four terms of the sequence.a? = 2 and an = 3an-1 for n?2
- Q There are 13 left-handed and 21 right-handed spirals on the cacti in thephotograph. What is special about these numbers?A. They are consecutive terms in the Fibonacci sequence.B. The value of...
- Q The general term of a sequence is given. Determine whether the sequence is arithmetic, geometric, or neither. If thean = n+2Select the correct choice below and, if necessary, fill in...
- Q Simplify each expression so it is written as only one exponential expression. Do not evaluate to a number.Example: 10 x 10 = 104a. 103 x 104 107 ob. 102x 10-9-c....
- Q Determine if the finite correction factor should be used. If so, use it in your calculations when you find the probability.In a sample of 700 gas stations, the mean price...
- Q A hiker on the Appalachian Trail planned to increase the distance covered by 20% each day. After 7 days, the total distance traveled is 51.664 miles.Part A: How many miles...
- Q An applicant receives a job offer from two different companies. Offer A is a starting salary of $58,000 and a 3% increase for 5 years. Offer B is a starting...
- Q Use the Root Test to determine whether the series converges.1/14 + (1/28)2 + (1/42)3+ (1/56)4 +...Select the correct choice below and fill in the answer box to complete your choice.A....
- Q . Which of the following is true?I. The series -2, 4, 8, 16,... is a geometric sequence.II. The series ??2, 2, 2?2, 4,... is a geometric sequence.2239 27III. The series...
- Q At a bowling alley, the cost of shoe rental is $2.75 and the cost per game is $4.75. If f (n) represents the total cost of shoe rental and n...
- Q Determine whether the following series converges.00k=2K2 +1Let a 20 represent the magnitude of the terms of the given series. Select the correct choice below and fill in the answer box(es)...
- Q 4.7.PS-11Two communications companies offer calling plans. With Company X, it costs 25 to connect andthen 5 for each minute. With Company Y, it costs 15 to connect and then 4...
- Q The population of a city started at 378,000. Every year thereafter it decreased by 23,000 individuals.a. Represent the first five terms of the sequence using a table of valuesb. Describe...
- Q 6. The population of a city started at 378,000. Every year thereafter it decreased by23,000 individualsa. Represent the first five terms of the sequence using a table of valuesSEQUENCESb. Describe...
- Q Jason is saving up to buy a digital camera that costs $490.So far, he saved $175. He would like to buy the camera 3weeks from now. What is the equation...
- Q What can you say about the series an in each of the following cases?(a)lim816 anO absolutely convergentO conditionally convergentdivergentcannot be determinedant1an+1= 4(b)lim816 anO absolutely convergentconditionally convergentan+1= 0.6O divergentO cannot be...
- Q Test the series for convergence or divergence.(-1)"n67n=1Identify bXEvaluate the following limit.lim bnn18ince lim b =3180 and bn +b for all n, the series is convergent ?If the series is convergent,...
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