Basic Math Questions and Answers

Let z 5 2i Represent the complex number geometrically

phase shift A rocket is fired at sea level and climbs at a constant angle of 0 83 through a distance of 10 500 feet Approximate its altitude to the nearest foot

A function from ZX Z to Z defined by f m n m n is an onto function True False

A function assigns to a bit string the number of one bits in the string Find the domain and range of the function Domain is Range is

Function f Z Z defined by f n n 1 is a one to one function O True False

Natural Number O Integer Irrational Number Undefined Whole Number Rational Numbe Real Number

4 A train tunnel is modeled by the quadratic function h z 0 45x 28 8 where z is the distance in feet from the center of the tracks and h z is the height of the tunnel also in feet Assume that the high point of the tunnel is directly in line with the center of the train tracks a Draw a GOOD graph of this situation Find and label each of the following vertex horizontal intercept s and vertical intercept Round answers to the nearest tenth as needed b How high is the top of the tunnel Write your answer in a complete sentence c How wide is the base of the tunnel Write your answer in a complete sentence d A train with a flatbed car 6 feet off the ground is carrying a large object that is 12 feet high How much room will there be between the top of the object and the top of the tunnel Write your answer in a complete sentence

raph showing the results of a survey of the hours of sleep a group of Americans gets each night to determine the truth value of each simple in the following compound statement Then determine the truth value of the compound statement ent of Americans get 5 or fewer hours of sleep each night or 32 get 8 or more hours of sleep each night and 62 get 7 or more hours of h night walue of the simple statement Nine percent of Americans get 5 or fewer hours of sleep each night is Hours of Sep BODE 4 or fewer h 5 hours 9 6 hours 25 7 hours 30 8 hours or

Find a general solution for the given differential equation with x as the independent variable y 4 12y 36y 0 Write the auxiliary equation for the differential equation 122 36 0 Type an equation using r as the variable A general solution with x as the independent variable is y x c cos 6 C x cos 6 c3 sin 6 C4x sin 6 Do not use d D e E i or I as arbitrary constants since these letters already have defined meanings

p I study q The play is boring r The job pays well Write the following compound statement in its symbolic I study and the play is boring or the job pays well The symbolic form is

Construct a truth table for p q P T T LL F q T P T F T F Construct a truth table for q P p q T F T T q T 9 p

gan It is false that wax will get on the furniture and dripless candles drip Which statement below is correct OIf wax will not get on the furniture then dripless candles do not drip Wax will not get on the furniture and dripless candles do not drip Wax will get on the furniture or dripless candles do not drip O Wax will not get on the furniture or dripless candles do not drip

f h g fVh g Choose the correct answer below O The two statements are not equivalent O The two statements are equivalent

Homework 31 Module 9 Review Due Thursday April 20th Directions Answer each problem using the space provided No WORK No CREDIT 1 Find the surface area of the prism below 7 ft 25 cm 5 ft 19 cm 5 ft 3 Find the surface area of the prism below 2 Find the surface area of the prism below 15 cm 20 cm 6 m 8 m 25 m 4 Find the surface area of the prism below 1 1 1 0 0 1 17 m 73 m 20 m 15 m

T Text Highlight 43 2 Express g in terms of f VA 4 VA 4 1 Describe the transformation that gives you the graph of g starting with the graph of f Paragraph g f Insert Add comment

R Consider the graph given above Give an Euler trail through the graph by listing the vertices in the orde Q O T R Q P S N Q

LaSalle College Problem 5 20 Points Find 0 in the figure below 10 cm Cours Assign

S F Consider the graph given above Give an Euler trail through the graph by listing the vertices in the ord

onsider the graph given above What is the order of the graph 10 What is the size of the graph 15 N

1 point Consider the graph shown below Note that if you click on the graph it will display a larger version in a new window Determine whether each of the following statements about the graph is true or false 1 A D C G F B E C A is a simple circuit 7 2 2 V V B E D 2 A C A C A C A C A C E is a walk from A to E 3 D C F G C is a closed walk 4 A C E A is a closed walk 5 A C F G C D is a trail from A to G 6 A D C G F B E A is a cycle 7 A D C G F B E C A is a circuit 8 C G F B E is a walk from C to E

1 point Which of the following graphs are connected X F G A C E H Z U L D V H M B T X D N S I R

H G I J E Consider the graph given above a What is the order of the graph b What is the degree of vertex E What is the degree of vertex J d How many components does the graph have

A Consider the graph given above The graph doesn t have an Euler circuit However if we added one more specific to the graph then it would have an Euler circuit Which edge should we add so that the resulting graph has an E circuit Do not repeat an existing edge NH Now give an Euler circuit through the graph with this new edge by listing the vertices in the order visited HK KN NL LH HJ JN NH

1 Let the functions f u and u x have derivatives What is the derivative of a complex function y u x i e u x 1 f 2 fu 3 u 4 f

F Note that if you click on the graph it will display a larger version in a new window Determine whether each of the following statements about the graph is true or false 1 A B C D E F G is a walk from A to G A B C E D 2 A D C G F B E C A is a circuit 3 A C E A is a closed walk 4 D C E F G is a path from D to G 5 A D C G F B E A is a cycle 6 A C F G C D is a trail from A to G 7 D C F G C is a closed walk

1 point Convert each of these integers to a binary base 2 expansion Do not use spaces in your answer 488 1167 2 2

Q R 20 P S 0 T N Consider the graph given above Give an Euler trail through the graph by listing the vertices in the order

1 point S R T Q U P Consider the graph given above a What is the order of the graph b What is the size of the graph c What is the degree of vertex V d What is the degree of vertex S H N e How many connected components does the graph have

1 point M K N J Consider the graph given above The graph doesn t have an Euler circuit However if we added one more specific edge to the graph then it would have an Euler circuit Which edge should we add so that the resulting graph has an Euler circuit Do not repeat an existing edge Now give an Euler circuit through the graph with this new edge by listing the vertices in the order visited

1 point Convert each of these integers to a hexadecimal base 16 expansion Do not use spaces in your answer 1798 48759 16 16

1 point Compute the following sums using binary addition Do not use spaces in your answers 1012 102 11012 102 1100110211112 2 2 2

1 point Consider the following predicates P x is the statement x 5 5 Q x is the statement x 5 0 R x is the statement x 2 1 Determine the truth value of the following propositions P 0 Q 2 OA True OB False Q 6 R 2 OA True OB False R 3 v P 2 OA True OB False

1 point Let D 1 0 1 2 3 and consider the following statement 3d ED 2 4d 4 0 Is this statement true OA Yes all values of d satisfy the statement OB No only some values of d satisfy the statement OC Yes d 2 satisfies the statement OD No no values of d satisfy the statement

Let a graph have vertices m n o p q and edge set m p m q n q o q p q On paper draw the graph Then answer the questions below a What is the degree of vertex p b What is the degree of vertex n c How many connected components does the graph have

2 Suppose an airplane flies the path shown in the figure where distance is measured in hundreds of miles Find a vector to represent each segment of the flight Then use vector addition to find the final coordinates of the airplane Round final answers to the nearest tenth 0 0 3 30 5 200 A 55

What would you estimate the correlation of graph C to be 0 1 O 0 O 0 5 0 5 D N 18 U N

Which graph shows a negative correlation D O A OB O C O They are all the same correlation C

16 Samantha wants to randomly choose four friends to go to the Taylor Swift concert with her She wrote their name on a piece of paper with a number assigned next to it as shown below 1 Ralph 4 Stephanie 7 Trinity 2 JaQuan 5 Mark 8 Joseph 3 Nicole Samantha used Line 206 from her textbook shown below to select her sample Line 206 Who did Samantha take to the concert with her 6 Lorenzo 9 Megan 11793 20495 05907 11384 44982 20751 27498 84533 O Ralph Lorenzo Mark Megan O Ralph Stephanie Joseph Megan O Ralph JaQuan Nicole Stephanie O Ralph Trinity Megan Nicole

What is the standard score z score for a female weighing 164 pounds Suppose that the average weight of females aged 15 to 23 years is approximately normally distributed with a mean weight of 134lbs and a standard deviation of 25lbs O 1 2 1 2 O 0 2 O 0 2

Patricia is in the 67th percentile of the heights of all 2nd graders What would be a correct interpretation of what this means O She is 67 inches tall O She is shorter than 67 of all 2nd graders O She is taller than 67 of all 2nd graders O She wants to be 67 inches tall as an adult

To reduce the variability of estimates from a simple random sample you should a use a smaller sample b use a count not a percent c use a larger sample d use a percent not a count O A OB O C OD

general solution for the given differential equation with x as the independent variable 4y 11y 6y 0 neral solution with x as the independent variable is y x

6 5 Fill in the chart below based on a 850 00 loan at 4 5 interest compounded annually Year Total Amount Interest 1 2 3 4 5 6 2 9033228 6 What is the total amount owed in a 27 000 loan that was taken out 11 years ago at 0 6 4 a Simple 3 Q 60 E b Compound D

3 9033228 42 b Compound E 3 Suppose you take out a 351 980 mortgage at 12 3 interest compounded annually How much interest will you have paid after 20 years 4 What is the total amount owed from a 756 980 loan taken out for 3 years at 6 9 interest a Simple Oper

Name Date 1 Suppose you take out a 2500 loan at 7 6 interest for 8 years How much interest will you pay if a The interest was simple b The interest was compounded annually 14

A particle moves along a straight line so that its position at time t is given by x t t 2 2t 3 Find the particle s velocity and acceleration at time t 2

On the toleranced rectangle below what is the tolerance within which the top surface must be parallel to the bottom surface 002 1 015 1 000 015 There is no tolerance within which the top surface must be parallel to the bottom surface

2 What are three things you would like to know about a raffle or lottery before buying a ticket 3 marks i ii Decimal L Copy text 3 In a recent raffle 12 460 tickets were purchased Prizes were awarded to 750 winners a What was the probability as a fraction as a decimal and as a percent of winning a prize if one ticket was purchased 3 marks Fraction Percent I F

A field is to be fenced in a rectangular shape with two equal adjacent compartments as in the picture If there are 360m of fencing find the dimensions to maximize the area

Find the points of intersection a f x x 3x 7 and g x 3x 2