Sequences & Series Questions and Answers

The figure below shows a human heart at rest During intense exercise the human heart may pump 27 liters of blood per minute How mu more blood in quarts does a human heart pump per minute during intense exercise than at rest Round your answer to the nearest whol number qt m Pumps 5 quarts of blood per minute

net of the cube Then use the net to find the surface area of the cube m

Sketch a net of each regular pyramid Then use the net to find the surface area of the pyramid a b 20 mm 9 in 5 2 in mm in 30 mm 6 in

5 ft 1 5 5 ft

Rewrite as a single logarithm Simplify any polynomials if present In 256x24 In 125x In 243x20 5

Evaluate the logarithm function f x 4 log 5x 645 10 for x 4 4

8x 3 9 f x 4x 1 Vertical Asymptote Horizontal Asymptote x 8 10 f x x2 3x 10 Vertical Asymptote Horizontal Asymptote

Frank starts riding his bike towards town at a constant rate of 10 mph Then 30 minutes later his wife Cadie starts driving on the same path at a constant rate of 30 mph How long will it take her to catch up Bill A B C 8 min 9 min 15 min

A company has a policy of retiring company cars this policy looks at number of miles driven purpose of trips style of car and other features The distribution of the number of months in service for the fleet of cars is bell shaped and has a mean of 58 months and a standard deviation of 7 months Using the 68 95 99 7 rule what is the approximate percentage of cars that remain in service between 65 and 72 months Do not enter the percent symbol ans

The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs The distribution of the number of daily requests is bell shaped and has a mean of 65 and a standard deviation of 5 Using the 68 95 99 7 rule what is the approximate percentage of lightbulb replacement requests numbering between 65 and 75 Do not enter the percent symbol ans

6 B x 50 29 2x 62 Yukar da verilenlere g re A x is leminin sonucu ka t r A 92 B 112 C 118 D 126

219 th 9 J If eacb D tm note 4700mm f 4 7m Find the values of Gibi Cidie tigh Spucking in 200mm 166 E

4 The number of downloaded games that can be stored on a video game system varies inversely with the average size of a video game The number of video games n that will fit on a certain video game system is modeled by n where s is the average game size in GB 320 7 a Complete the table then graph the function Game size GB s 1 0 2 5 Number of Games n 3 0 4 0 b How many games can be stored if the average game size is 0 5 GB 5 4 600 400 300 200 400 3 2 1 100 200 300 400 500

16 Solve the following quadratic equation for all values of in simplest form 5 x 4 10 10 Lip 21 What are the roots of the equation 12x x 1 0 A 1 47 24 C and WIT B D and 1 1 47 24

Work required Solve the homogeneous system of linear equations using Gauss Jordan Elimination or Gaussian Elimination Parametrize solutions if appropriate using y t t E R Provide the solution for each variable in the blanks provided 2 2 32 0 27 2y 3y 0

1 Graph x X y Name the asymptote Domain Range

The inverse of the inverse of a nonsingular matrix A is equal to A itself 0 True Fallve

The following is a linear equation sin 2 x 3y 6 O True O False

10 Solve the equation and check your solution 4x 2 x 30 Type a response

NAME AND SURNAME Al E 1 The set G 1 3 5 7 is a group with the operation zoy defined as the last decimal digit of the number 9x 9y zy 2 i Compute 505 0 505 ii Find the neutral element of o iii Find the inverse element 1 2 Let X be the set of all integers between 300 and 996 including 300 and 996 themselves that do not contain the digit 8 i How many elements does X have ii How many elements of X have three odd digits iii How many elements of X have three different digits 3 There are 12 blocks in a bag They have the following letters on them A A ADD GGGOOOO We choose 4 blocks from the bag and as we know there are 12 495 ways of doing that ie 495 four element subsets In how many of those 495 sets are there enough blocks to form the word DAD enough blocks to form the word DOG In this problem please write the actual numbers eg 24 rather than 2 3 4 questions for extra points Is the set G with the operation o described in Problem 1 above a group

The permuterm index for the term Free is Select one O A Free ree F e Fr Free O B ee Fr e Fre Free O C Free ree F ee Fr Free O D ee Fr Free ee F

ometors 02 1 1 Want lenghts 2 F PO 0 2 mete R 5 meters a b c d

89 Cost of College In 2005 the average annual tuition and fees for attending a private college or university was 21 000 This cost rose to about 32 000 in 2015 as illustrated in the figure Source Cerulli Associates y Cost dollars 35 000 30 000 25 000 20 000 15 000 10 000 5000 a 2015 32 00 Q 2005 21 000 04 2005 2010 2015 2020 Year X Find the slope intercept form of the line passing through 2005 21 000 and 2015 32 000 Interpret the slope b Use the equation to estimate the cost of attending a private college in 2013

3 Let f x 2x x 3 and g x x 1 a g x b f g x c fog x 4 Let g x 2x and h x x 4 a hog 2 b goh 2

A radical expression is simplified when the radicand contains no Check Simplify and no radicals appear in the

Convert to exponential form then simplify What is under the radical in the numerator of the answer Answer Check Simplify 64 3 647 3 Answer Check

Here is a rectangle Let I w a and p represent length width area and perimeter 2 cm 9 cm Use the formula a 1 x w to work out the area of the rectangle a 2 cm Use the formula p 2 x 1 w to work out the perimeter of the rectangle cm 1 1

One side of a linear equation simplifies to 4x 5 For the equation to be a contradiction which of the expressions can be on the other side of the equation Select an answer and submit For keyboard navigation use the up down arrow keys to select an ower 3 4 x 2 b 3x 4 x 2 C x 3 x 1 d 2x 3 x 1

Homework Unanswered Due Today 11 59 PM Arrange the given operations in the order from top to bottom in which they must be performed when applying the order of operations Drag and drop options into correct order and submit For keyboard navigation SHOW MORE E Simplify exponential expressions Simplify within parentheses or grouping symbols M Multiply or divide in order from left to right Add or subtract in order from left to right

Fill in the Blanks Type your answers in all of the blanks and submit X X The set of numbers 1 2 3 4 5 is called the set of Write your response here numbers The set of numbers 0 1 2 3 4 5 is called the set of The set of numbers Write your response here Write your response here or The set of numbers 3 2 1 0 1 2 3 is called the set of Write your response here p and q are integers q0 is called the set of 0 is numbers Write your response here numb

In Music What Does Allegro Mean Solve each inequality below Draw a straight line connecting it to the inequality that in the bes the solution set The line will cross a number and a letter Write the letter in the matching numbered box at the bottom of the page 4x 7 17 2x 36 4 3 10 8x 26 4 6x 1 23 5 6 11x 60 6 9x 5 58 7 32 15x 2 8 42 3x 3 9 26 4 5x 10 26 7x 2 11 10x 18 72 12 12 14x 2 13 4x 68 4 14 37 17 2x 15 3 7x 17 16 14 5x 34 17 58 x 20 18 6x 4 40 1 2 3 4 5 6 NUL 7 F 84 s 16 R U x 2 XV 4 x 6 x 10 X 6 x 16 x 1 x 2 x 7 x 4 x 38 X 2 x 13 x4 9 x 4 x 16 x 6 x 6 9 10 11 12 13 14 15 16 17 1

The Write your response here property of equality states that we can add or Write your response here number from each side of an equation and obtain an equivalent equation The Write your response here property of equality states that we can Write your response here side of an equation by the same nonzero number and obtain an equivalent equation the same or divide each

X X 22 a A Write your response here real numbers such that A 0 b These equations are also called Write your response here equation in one variable is an equation of the form Ax B C where A B and Care Write your response here c The value of the variable that makes the equation true is called the degree equations because the exponent on the variable is Write your response here or

Type your answers in all of the blanks and submit Enter the expression or number that is required to solve the equation Do not enter any blank spaces in your answers 2 1 5x 72 a Apply the distributive property Write your response here b When the constant term is moved to the right side the resulting equation is Type your answer here c Solve X d Solution set X Type your answer here Write your respor 72 Type your answer here

X X Fill in each blank with either conditional contradiction or identity a An equation that is true for all values of the variable is called an Write your response here b An equation that is true for some values of the variable and false for other values is called a Write your response here equation c An equation that is not true for any value of the variable is called a Write your response here This is a very com involves a variab plus a constant recall what this

P 34 97 3333 D 64 d 5150 63 1 I C 34 Jamani b 64 a 613 77 I I 9 A C 3 W N Select all true equations

a Find f x for the indicated values of x if possible b Find the domain of f Use words or inequalities to describe the domain 49 f x x for x 2 5 50 f x 2x 1 for x 8 1 51 f x x 3xforx 3 2 52 f x 5 x 2x for x 1 5 53 f x 12 3xl for x 1 4 54 f x 15x 3 for x 3 0 55 f x 2x for x 3 5 56 f x 2 xfor x 2 2 57 f x x for x 1 a 1 58 f x 1 x for x 2 a 2 59 f x 6 3x for x 1 a 1 60 f x 7 for x 6 a 1 3x 5 61 f x for x 1 a x 5

Factor the following expression 15uv5y7 20u4v

1 Which fraction will result in a 2 Which fraction will result in a product that is less than product that is greater than 3 x ur150 MIT A A 000 07 N w C B 12 2 u D 8 7 A 5 1 29 D 00 10

Use the rules for exponents to simplify the following expression Write the final answers in exponential form when necessary Assume that all variables represent non negative values 1 5 1 5 x X X 1 2 1 2 X Simplify your answer Use integers or fractions for any numbers in the expression Type your answer using exponential notation

The amount of carbon 14 present in animal bones after t years is given by P t Poe 0 000121 A bone has lost 14 of its carbon 14 How old is the bone The bone is years old Round to the nearest integer as needed CHEE

The decay rate of a certain chemical is 9 7 per year What is its half life Use the exponential decay model P 1 Pek where k is the decay rate and Po is the origina amount of chemical The half life of the chemical is years Round to the nearest integer

10 7 x 8x 10 x A 80 B 72 The right Xopatro D 54 answer is E 45 oppt tempo Metropol Matro petropol Metropol Mass

The interior reflex angles of the polygon below are congruent The interior acute angles are also congruent The measure of each interior reflex angle is 252 Find the measure of each interior acute angle 126 Need Help DETAILS Read It Watch It onds to a reflex angle that has a measure between 180 and Je LARMPMT1 10 3 005 MY NOTES ASK YOUR TEACHER

b Regular octagon XC

e whether the figure is a triangle D This is a triangle This is not a triangle in your reasoning State whether the figure is a triangle This is a triangle This is not a triangle explain your reasoning c State whether the figure is a triangle This is a triangle This is not a triangle reasoning

a Consider the following Classify the polyhedron made by the net as regular or semiregular Oregular Osemiregular Name the polyhedron Ododecahedron truncated dodecahedron O octahedron truncated octahedron Otetrahedron truncated tetrahedron

Help c Regular nohagon 9 gon Read It

b Regular octagon O

5 How many five card subsets of the set of 52 cards of the usual deck con taining four akes four kings four queens etc contain simultaneously a least two aces at least one king and at least one queen