Sequences & Series Questions and Answers

Question 14 of 37 Step 1 of 2 Set up the equation for the following word problem and solve the equation Let x be the unknown number 31 times a number minus 98 is equal to 78 less than the number Step 1 of 2 Write out the equation Answer 2 Points

Question 9 of 37 Step 1 of 1 Translate the following phrase into an algebraic expression Do not simplify Use the variable names x or y to describe the unknowns Answer 2 Points 01 47 the sum of a number and six 1 Kamoned

Akshi has five exam scores of 98 94 84 95 and 95 in her biology class What score does she need on the final exam to have a mean grade of 90 Round your answer to two decimal places if necessary All exams have a maximum of 100 points

How many liters each of a 20 acid solution and a 70 acid solution must be used to produce 90 liters of a 50 acid solution Round to two decimal places if necessary AnswerHow to enter your answer opens in new window 2 Points liters of 20 acid solution Keypa Keyboard Shortc

Moneysaver s Bank offers a savings account that earns 3 5 interest compounded continuously If Maya deposits 1600 how much will she have in the account after four years assuming she makes no withdrawals Do not round any intermediate computations and round your answer to the nearest cent

Write 0 28 as a fraction reduced to lowest terms Basic n DNF X

You have 1600 that you invest at 5 simple interest What is the balance after 3 1680 1824 1840 1624

The average number of employees that call in sick for the day over the course of a year is 25 The number of employees that call in sick on 12 days are 25 10 16 39 27 25 32 25 25 22 28 and 14 Enter the sample mean and the population mean in the boxes x employees employees

What is the explicit rule for the sequence 57 49 41 33 o an 8n 49 O an 8n 65 Oan 8n 49 An 8n 65 ZANIML

The probability distribution histogram shows the age distribution of giraffes at a zoo What is P 8 X 20 Enter your answer as a decimal in the box 0 45 0 4 0 35 0 3 0 25 P 0 2 0 15 0 1 0 05 0 Ages of Giraffes 4 8 8 12 12 16 16 20 Age years

4 60 4 61 4 62 Simplify each of the following absolute value expressions b 331 a 25 6 11 4 Compute each sum or difference 3 1 b 7 1 C a Find each quotient without using a calculator b 589 2 16 a 42 5 1 5 5 9 133 34 10 375 d 1

Fill in the blanks below with the correct units a At the fair Alonzo saw a horse with a mass of about 750 b Today Susan drank about 2 c The bee was about 13 of water long

A cyclist rides her bike at a speed of 9 kilometers per hour What is this speed in kilometers per minute How many kilometers will the cyclist travel in 2 minutes Do not round your answers Speed 00 km min Distance traveled in 2 minutes km X

How long will it take for an investment to triple if interest is compounded continuously at 7 It will take years before the investment triples Round to the nearest tenth of a year

Function f is defined on the interval 2 9 and the graph of y f x is shown in the xy plane Function g is defined by g x x 1 What is the value of g f 2 A B C 0 9 2 16 0 12 45 6 789 X

Find the squared deviation from the mean for the data value of 3 Data 3 4 7 10 16 00 09 Deviation from the Mean x x Squared Deviation x x

Amanda invests 500 into an account with a 2 5 interest rate that is compounded semiannually How much money will she have in this account if she keeps it for 10 years Round your answer to the nearest dollar Provide your answer below

What is the domain of g x log 3x 11 Give your answer in interval notation using fractions or mixed numbers if necessary Provide your answer below

Given the following functions compute the composition fog x f x 8x 5 g x 9x 3 Simplify your answer and collect like terms Provide your answer below f g x

Describe the end behavior of the function f x 8x x 7 x 9 5x 7 Provide your answer below As x goes to x f x goes to As x goes to f x goes to

Find the inverse of the following function Provide your answer below f x f x 5x 9 x 0

Below is a stemplot for city miles per gallon of cars on a dealership s lot 0 1 2 3 4 79 0 07 1 5 6 77 88 89 0 1 2 3 3 3 3 4 7 8899 1 2 3 4 5 6 02 What is the lowest city miles per gallon 79 17

Find the mean of the data set below 4 6 45 89 05 06 4 5 O 5 5

Write the vector v in the form ai bj given its magnitude v and the angle a it makes with the positive x axis v 10 x 135 V Simplify your answer Type an exact answer using radicals as needed Type your answer in the form ai bj

Verify the validity of the UPC 6 39382 00039 1 O Not valid because 68 is not divisible by 10 Not valid because 108 is not divisible by 10 O Valid because 108 is divisible by 9 Valid because 44 is divisible by 11

A teacher wanted to study the results from a particular exam and decided to grab all exams from students in the front row and students in the back row What type of sampling is this O Systematic O Cluster O Stratified O Random

Find the prime factorization of the following number The prime factorization of 42 is

O D D a Let E and O represent even numbers and odd numbers respectively Complete the table for the operation of multiplication b Determine whether this mathematical system forms a commutative group under the operation of multiplication Explain your answer X E 0 E 0 Does this mathematical system form a commutative group under the operation of multiplication If not why not Select all that apply A Yes It meets all five requirements needed for a mathematical system to be called a commutative group B No The set of elements is not commutative under the operation of multiplication GE C No There is no identity element for the set under the operation of multiplication D No The set of elements is not associative under the operation of multiplication E No There is at least one one element that does not have an inverse under the operation of multiplication No The set of elements is not closed under the operation of multiplication

The 10th and 12th Fibonacci numbers are 55 and 144 What is the 11th Fibonacci number 89 O233 100 O 199

How many liters of a 60 acid solution must be mixed with a 30 acid solution to get 300 L of a 50 acid solution liters of a 60 acid solution must be used

sider the mathematical system defined in the table Assume that the associative property holds for the given operation Complete parts a to h below 5 1 un sguim Lampi in C No the system is not commutative An example is 5 A A 5 D Yes the system is commutative An example is ASM MSA Is the mathematical system a commutative group Explain Select all that apply ACECH A No There is at least one one element that does not have an inverse under the given operation B Yes It meets all five requirements needed for a mathematical system to be called a commutative group C No The set of elements is not commutative under the given operation D No The set of elements is not closed under the given operation E No There is no identity element for the set under the given operation F No The set of elements is not associative under the given operation

Two dice are rolled Find the probability of rolling 7 36 12 36 4 36 a sum of 4 or 5

73 Select the graph that represents the point 4 O A T O B Ay O C O D 5 Ay T O O

Determine all positive number replacements less than the modulus for the question mark that make the statement true 10 4 mod 12 Select the correct choice below and if necessary fill in the answer box to complete your choice OA The positive number replacement s less than the modulus for the question mark is are Use a comma to separate answers as needed OB There are no positive number replacements less than the modulus for the question mark that make the statement true

25 3 12 48 192 Find formula of the geometric sequence recursin 3 12 48 192 an an 1

Determine if the system is closed S t T O No O Yes mm t S S S S t Is the system closed t t S T

Given the graph above determine if the subgraph below in red forms a spanning tree F B E C This is not a spanning tree Not all vertices are being used This is not a spanning tree It is disconnected This is a spanning tree This is not a spanning tree There is a circuit

Using Kruskal s Algorithm edges A C and C D would be used first Which edge would be used next B A 7 D E OC D C E B D 4 1 3 C D 2 6 E

a represents 1 block a2 represents 4 blocks a1 as represents 16 blocks a4 a2 a3 If Sarah continues her pattern how many blocks will be needed for the 10th step a represents 64 blocks Sign out Dec 11

Given the explicit definition t 2 5n find t a 7 b 93 c 1 d 21

Recursive Explicit Definitions Which sequence could be described by the explicit definition 2 n 3 O a 1 1 3 5 7 b 1 2 3 4 5 6 Oc 5 7 11 19 35 d 1 1 5 13

Find the width longer side of the following TV screen all lengths are in inches Round answers to the nearest tenths place one decimal place The aspect ratio is 4 3 25

Assume that Sunday is represented as day 0 Monday is 4 determine the day of the week it will be at the end of 139 days Assume no leap years It will be a Sunday 139 days after Thursday Thursday Wednesday Tuesday Friday Monday

A large waterfall is managed so that a minimum of 140 000 cubic feet of water per second ft sec flow over the falls Find the minimum amount of water that will flow over the falls in a 24 hour period durin tourist season Write your answer in scientific notation A minimum of cubic feet of water flow over the falls in a 24 hour period Use scientific notation Use the multiplication symbol in the math palette as needed

If a cubic millimeter of blood contains 6 100 000 red blood cells how many red blood cells are contained in 40 cub millimeters of blood Write your answer in scientific notation There are 2 44 x 10 red blood cells contained in 40 cubic millimeters of blood Use scientific notation Use the multiplication symbol in the math palette as needed

The mass of Planet A is approximately 4x 1029 kilograms and the mass of Planet B is approximately 6x 10 3 kilograms How many times greater is the mass of Planet A than the mass of Planet B Write your answer in decima notation The mass of Planet Ais times greater than the mass of Planet B Round to the nearest whole number as needed

Graph the real 1 1 Graph 1 1 on the number line 3 HH 2

Start by drawing a number line that shows integers line Graph 14 14 5 on the number line 3 2 1 0 2 3

Find the opposite of the number 4 7 The opposite of 4 7 is Type an integer or a decimal

Consider 12 months to be a modulo 12 system If it is currently July determine the month it will be in 57 months It will be February March 57 months after July April December