Basic Math Questions and Answers

In this question you may not use the fact that Cauchy sequences are equivalent to conver gent sequences Let an neN CR be a Cauchy sequence such that there exists a convergent subsequence to some limit a E R Show that the original sequence converges to a R You should be able to prove this just from first principles

Consider the two functions Function 1 Which statement is true A B C D 10 X 1 0 1 2 Function 2 f x 10 2 15 10 5 0 25 For x 1 the value of Function 1 will always be greater than the value of Function 2 For x 1 the value of Function 1 will sometimes but not always be greater than the value of Function 2 For x 21 the value of Function 2 will always be greater than the value of Function 1 For x 21 the value of Function 2 will sometimes but not always be greater than the value of Function 1

Choose the correct answer below O A 0 O B O C 0 O D x Xx

E x XEN and 28 x 87 Choose the correct answer below OA E 28 29 30 31 86 OB E 29 30 31 32 86 O C E 29 30 31 32 OD E 28 29 30 31 87 OE E 29 30 31 32 87 OF E 28 29 30 31

blackberry grapefruit chicken Choose the answer that lists all of the subsets of blackberry grapefruit ch OA blackberry grapefruit chicken blackberry grapefruit blackberry chicken grapefruit chicken B blackberry grapefruit chicken blackberry grapefruit blackberry chicken grapefruit chicken blackberry grapefruit chicken OC blackberry grapefruit chicken blackberry grapefruit blackberry chicken grapefruit chicken OD blackberry grapefruit chicken blackberry grapefruit blackberry chicken grapefruit chicken blackberry grapefruit chicken

a List all the subsets of set A b State which of the subsets in part a are not proper subsets of set A www a Choose the correct answer below OA 0 y n n c c l y n c n c 1 y n c l B 0 v n c y n y c y n c n 1 c y n c y n 1 y c I n c I OC y n c y n y c y n c n 1 c I y n c y n y c I n c y n OD 0 v n c y n y c y I n c n 1 c I y n c y n l y c I n c I y

e whether AB ACB BCA ACB BCA or if none of these answer applies he set of odd counting numbers smaller than 14 Set B is the set of odd natural numbers betwe all that apply A B ACB BCA ACB BCA None of these

Determine if the given vectors form an orthogonal set 4 1 1 3 3 3

7 E 6 7 8 Choose the correct answer below OA The statement is false an element cannot be a subset OB The statement is true 7 is a subset of the set OC The statement is true 7 is an element of the set OD The statement is false a set cannot be an element of a set

S moose the correct answer below A The statement is true the empty set is a proper subset of every set including itself B The statement is false the empty set has no elements so cannot have a subset www C The statement is true the empty set is a subset of every set including itself D The statement is false a proper subset must have at least one element that is not in the corre

h g i g h i Choose the correct answer below give the OA The statement is true h g i is a proper subset of the set OB The statement is true h g i is a not a proper subset of the OC The statement is false h g i is an element of the set OD The statement is false h g i is a subset of the set

Determine whether A is diagonalizable A 404 044 4 4 0 by finding the matrix D and the matrix P such that P AP D

Il in the blank with an appr all the elements of set A are also elements of set B then set A is a n all the elements of set A are also elements of set B then set A is a n of set B

pear peach S apple plum pear Choose the correct answer below OA The statement is true pear peach is a subset of the set apple plum pear OB The statement is false peach is not in the set apple plum pear OC The statement is false pear peach is an element not a subset D The statement is false pear peach is a subset of the set apple plum pear

in the blank with the appropriate symbol s e expression for determining the number of distinct subsets for a set with n distinct elements is e expression for determining the number of distinct subsets for a set with n distinct elements is

The graph shows the distance in miles a jogger is from home after x hours of jogging y C Distance in miles D 10 8 N 1 2 Time in hours Which statement is true The greatest distance the jogger is from home during the 3 hours is approximately 4 miles as represented by the absolute maximum value of 4 miles 3 The greatest distance the jogger is from home during the 3 hours is approximately 6 miles as represented by the absolute maximum value of 6 miles The shortest distance the jogger is from home during the 3 hours is approximately 4 miles as represented by the absolute minimum value of 4 miles The shortest distance the jogger is from home during the 3 hours is approximately 6 miles as represented by the absolute minimum value of 6 miles

Find an LU factorization of the given matrix 3 9 3 3 7 7 2 15 4 1 2

Determine if the given vectors form an orthogonal set 4 1 3

Find all of the eigenvalues of the matrix A A 34 70

4 Duane Hartley owns 2 000 shares of Solar X stock which he purchased for 28 40 each Recently he read that the average selling price of his stock was 37 90 The company paid annual dividends of 1 80 per share last year a What is the annual yield on his stock b For an investor who purchased the stock at 37 90 per share what is the annual yield

Find the vertical asymptotes if any and the value of x corresponding to holes if any of the gra x 9 81 f x Select the correct choice below and if necessary fill in the answer box to complete your choi and hole s corresponding to x A Vertical asymptote s at x OB Vertical asymptote s at x There are no holes OC There are no vertical asymptotes but there is are hole s corresponding to x 0 OD There are no discontinuities

Which of the graphs below are the graph of the polar equation r 3cos 20 when changes from it to S Select one o a O b O C 5T1 6 TT 10 7 TT 6 571 6 TT 10 7 TT 6 21 3 4TT 3 2TT 3 4TT 3 20 10 2 10 3TT 2 20 10 2 10 3m 2 20 TT 3 5TT 31 TT 3 5TT 3 TT 6 0 10 11TT 6 TT 6 0 10 11TT 6 20 20

Simplify your answers Do not factor Use integers or tractions for any

For f x x 3 and g x 2x 3 find the following functions a fog x b gof x c fog 2 d gof 2 a fog x Simplify your answer b gof x Simplify your answer c fog 2 d gof 2

82 8x 1 0 The solution set is Type an exact answer using radicals as needed Use integers or fractions for any numbers

601 Simplify your answer Use integers or fractions for any numbers in the expression Type your answer in the fo

A rectangular based pyramid has length of 5 meters and a height of 7 meters If the volume is 105 meters cubed what is the width of the base of the pyramid O 3 meters O 6 meters O 12 meters

A square based pyramid has a height of 15 kilometers If the volume is 266 kilometers cubed what is the approximate length of the pyramids base O 5 9 6 2 O 8 1 7 3

Consider the figure and the dimensions given Find the volume and surface area The length is 12 The width is 5 The height is 17 The slant height is 23 Round your answers to the first decimal place if needed Volume S Surface Area

Your company wants to assign identification numbers to each of its employees The identification number will contain 5 numbers followed by 3 letters If repetition is allowed how many identification numbers can be generated Show your w For the toolbar press ALT F10 PC or ALT FN F10 Mac

4 The reflecting dish of a parabolic microphone has a cross section in the shape of a paral The microphone itself is placed on the focus of the parabola If the parabola is 24 inches and 9 inches deep how far from the vertex should the microphone be placed O6 inches O8 inches O 16 inches O4 inches

ATSI Practice 1 Inbox 2020146 ljsd cox Eres Mis YouTube x Added security https classroom google com u 1 c NTM4NDcyOTQIMjg5 a NjA4NzA1MTAxNDM4 details Desmos Scientific Calcu Search Mr Wilk is a high school math teacher whose salary is 33 660 for this school year which has 180 days In Mr Wilk s school district substitute teachers are paid 85 per day If Mr Wilk takes a day off without pay and a substitute teacher is paid to teach his classes how much less does the school district pay in salary by paying a substitute teacher instead of Mr Wilk for that day A 57 B 85 C 102 D 114 E 187 S 16 New tab G 0

You are driving a truck with larger tires The factory installed tires have a circumference of 92 inches but your current tires have a circumference of 105 inches Using the odometer readings you determine that your truck has a gas mileage of 22 miles per gallon What is your actual gas mileage in miles per gallon O 25 11 mpg O23 14 mpg 20 46 mpg 19 28 mpg QUESTION 23 2 5 Your odometer reads 1 820 miles total for your road trip to the Grand Canyon but your tires are larger than factory installed tires The circumference of the factory installed tires should be 92 inches but your current tires are 96 inches How far have you actually traveled Show your work nearest hundredth 2 5 points

Kylie has 12 pieces of candy left in her Halloween bag There are 8 pieces of chocolate and 4 pieces of non chocolate She chooses a piece of candy at random and then chooses another piece of candy without replacement Draw a tree diagram to represent this situation and use it to calculate the probabilities that she picks Two pieces of chocolate No chocolate At least one piece of non chocolate One piece of each type

Team Atlanta Hawks Ticket 55 Other Drink 5 Soft Drink 4 Hot Dog 3 Parking 20 Hat 30 FCI QUESTION 25 Amed Rosario with the New York Mets had the following stats one year for 554 at bats Singles 99 Doubles 26 Triples 8 Home Runs 9 What was his slugging ave 256 O 291 367

2 5 point he starting quarterback for your high school team injured his shoulder at practice The doctor says there is a 70 chance that he will play in the next game If he plays in the game the team will likely score 35 points If the back up quarterback plays in the game then the team will likely ind the expected value Show your work For the toolbar press ALT F10 PC or ALT FN F10 Mac BIUS Paragraph M Arial M 100t

25 poir Your odometer reads 4 280 miles total for your road trip to San Diego then back to Atlanta but your tires are larger than factory installed tires The circumference of the factory installed tires should be 80 inches but your current tires are 85 inches How far have you actually traveled S Round to nearest hundredth For the toolbar press ALT F10 PC or ALT FN F10 Mac BIUS Paragraph V Arial V 10pt V EV EV AV T Y O 1

Your speedometer reading is 70 mph but your tires are larger than factory installed tires The circumference of the factory installed tires should be 75 inches but your current tires are 86 inches How fast is your car actually moving Show your work Round to nearest hunc For the toolbar press ALT F10 PC or ALT FN F10 Mac BIUS Paragraph Arial V 10pt V A

Hudson has two pairs of black shoes and three pairs of brown shoes He also has three pairs of red socks four pairs of brown socks and six pairs of black socks If Hudson chooses a pair of shoes at random and a pair of socks at random what is the probability that he chooses black shoes and red socks Complete the tree diagram to find the probability Shoes Socks 3 7 2 7 Black 2 7 Brown G R 2 6 2 6 13 2 6 QUESTION 5 Inside a bag there are 3 green balls 2 red balls and 2 yellow balls Two balls are randomly drawn without replacement Calculate the probability of drawing one green ball and one yellow ball The tree diagram has been started 13 6 13 G 13 Y Red R Brown Black Red Brown Black

Given the following information Bread Honey Oat 0 6 White 0 4 Meat Ham 0 5 Turkey 0 4 Salami 0 1 Cheese American 0 6 Cheddar 0 2 Provolone 0 2 How many possible sandwiches can be made What is the probability that a sandwich will be Honey Oat Bread and Ham What is the probability that a sandwich will have Turkey and American or Cheddar

The surface area of a cube is 150 feet squared What is the length of the side 07 feet O 5 feet O 6 feet stret

Sarah is selling chocolate bars for a school fundraiser Each chocolate bar is 5 inches long 2 inches wide and 1 inch tall The box the chocolate bars come packed in is 4 feet long 2 feet wide and 3 5 feet tall Approximately how many whole chocolate bars come in a box 3562 bars 4838 bars 2 8 bars 290 B

Find the surface area and volume of the given shape 2 in 4 in 12 in Surface Area Volume 12 in 2 in

A container has a volume of 4331 feet cubed How long is side of the container 12 2 ft O 16 3 ft 15 8 ft 13 9 ft

Krysta s family spends the majority of their summer afternoons in the swimming pool They have a storage chest for all the pool items The chest measures 4 25 ft long 2ft wide and has a volume of 21 25 cubic feet What is the depth height of the chest O 4 5 ft O 8 ft O 5 ft O 2 5 ft

Find the surface area and volume of the cube Write your answer in the space below Surface Area 15 in Volume

A company wants to make a box that has a volume of 422 cm cubed Approximately how long does the side of the box need to be O8 cm 7 cm 6 5 cm 07 5 cm

8 The equation of circle B is x 3 y 4 25 What is the diameter of circle B A 5 2 B 10 C 10 2 D 50

The length of a rectangle is twice the width The area is 392 yd Find the length and the width The length is Simplify your answer Show Transcribed Text Question 2 Question 7 11 3 21 Part 1 of 2 HW Score 0 0 of 8 points O Points 0 of 1 Save During the first part of a trip a canneist travels 24 miles at a certain speed The canceist travels 7 miles on the second

Three consecutive even integers are given The product of the first two is six less than nine times the third Determine the value of each integer