Questions

Let R and S be relations on the set A 1 2 3 4 5 represented by the figures below 1 Write the two sets of ordered pairs corresponding to R and S 2 Represent R and S using boolean matrices 3 Draw digraphs for the relations RS and RUS 2 3 8 2 5 3

3 Proving equivalence relations Let x and y be two real numbers x y E R We define a relation R between real numbers as follows xRy IFF xy EZ In other words two real numbers are related by the relation R provided their difference in an integer Prove that R is an equivalence relation Show all your work to receive full credit

sin 2 cos 2 theta 1 sin theta

In a large clinical trial 395 690 children were randomly assigned to two groups The treatment group consisted of 196 019 children given a vaccine for a certain disease and 31 a those children developed the disease The other 199 671 children were given a placebo and 106 of those children developed the disease Consider the vaccine treatment group be the first sample Identify the values of n P 9 2 P2 92 P and q g Type an integer or a decimal rounded to eight decimal places as needed Type an integer or a decimal rounded to eight decimal places as needed Type an integer or a decimal rounded to eight decimal places as needed

Let R S and T be relations on the set A 0 1 2 3 represented by the figures below State for each relation whether it is reflexive not reflexive symmetric not symmetric antisymmetric transitive Check all that apply No need to justify your answers but make sure you understand the properties 0 R 3 0 1 2 3 2 3 2 S Reflexive Irreflexive Symmetric Anti symmetric Transitive R S T T

Select one OA occurs in about 50 percent of new mothers OB is more common following planned pregnancies than unplanned pregnancies C is a purely psychological phenomenon i e has no physiological basis OD may be reduced via breast feeding

Using the given diagram solve for x DO 8 6 X 3

Question 2 Evaluate I 3xydA 2 D where D is x 1 y 1 y x A B 1 C 1 D All others are 2 wrong

In a certain city E Street W Street C Street and D Street are parallel streets that intersect K Street and M Street How long is K Street between C Street and D Street Park The length of K Street between C Street and D Street is ft MS WS K St D S

A triangle is formed by the building s height and shadow Another triangle is formed by the flagpole s height and shadow Using the following diagram find the height of the building 46 ft 40 ft 2 ft

Use the figure to complete the proportion 11 PA j y d f bD g a

The test statistic of z 1 05 is obtained when testing the claim that p 0 7 a Identify the hypothesis test as being two tailed left tailed or right tailed b Find the P value c Using a significance level of a 0 01 should we reject Ho or should we fail to reject Ho Click here to view page 1 of the standard normal distribution table Click here to view nane 2 of the standard normal distribution tahle a This is a right tailed test b P value Round to three decimal places as needed c Choose the correct conclusion below OA Reject Ho There is sufficient evidence to support the claim that p 0 7 OB Reject Ho There is not sufficient evidence to support the claim that p 0 7 OC Fail to reject Ho There is sufficient evidence to support the claim that p 0 7 OD Fail to reject Ho There is not sufficient evidence to support the claim that p 0 7

mine the solution to the system of equations below You must show work for all questions to get credit 1 y 1 y 3x 1 2 8x 4y 16 6x 20 A 0 1 B 1 0 2 8 C 7 1 B 2 1 D 7 1 C 2 1 D 2 1 3 2x 3y 4 y x 4 4 x y 7 6x 2y 18 A 8 1 8 4 B 2 1 D 1 1 A 1 6 C 1 6 5 7x 2y 18 x y 9 6 5x 3y 2 4x y 10 B 1 6 D 2 6 4 5 C 4 1 B 4 1 D 7 4 A 4 6 C 3 6 B 3 6 D 3 6

Use the figure at the right to complete the proportion BC CD HJ B E F G H K

To the nearest millimeter a cell phone is 117 mm long and 48 mm wide What is the ratio of the wid to the length The ratio of the width to the length is Type the ratio as a simplified fraction

TRAP EZYD Use the diagram on the right to find the scale factor of TRAP to EZYD The scale factor of TRAR to EZYD is T 14 R E 43 14 14 P 28 Z 16

In the right triangle below p 30 and b 5 3 Find a a b P 10 10 3 10 2 15

In a study of 794 randomly selected medical malpractice lawsuits it was found that 482 of them were dropped or dismissed Use a 0 01 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed What is the test statistic Round to two decimal places as needed What is the P value P value Round to three decimal places as needed What is the conclusion about the null hypothesis OA Fail to reject the null hypothesis because the P value is greater than the significance level a OB Reject the null hypothesis because the P value is greater than the significance level a OC Reject the null hypothesis because the P value is less than or equal to the significance level a OD Fail to reject the null hypothesis because the P value is less than or equal to the significance level a What is the final conclusion OA There is sufficient evidence to support the claim that most medical malpractice loucuito

Find the real solutions of the following equation by factoring 3 2 2x 10x x 5

A E F G B H C D

E F A B H

Work 3x 2y 16 x 3y 10 Substitute 3y 10 equation Distribute muljely 3x 2y 16 3y 10 3y 16 3 3 2x 16 gy ay 16 3 3x 10 ay 16 30 16 7y 30 16 30 v Combine XP Tw Cancel the constant w Concel the coefficien Plug in 2 value ind 2 FG Solve Plug in 2 valle inte 210 Jolye Write as ordered Pair Try It Again Problem Solve the system shown below listing your answer as an ordered pair 3x 2y 14 y 5 2x 3 5 2y 14 315x 27 14 3 3x 2 2y 14 15x 10 2y 14 13y 10 14 10 10

What is the name of the process when organisms produce ATP in anaerobic environments How does this process work Please provide 2 examples of organisms that complete this process and list the warto

en Please list and explain 3 ways that meiosis contributo Paragraph

1968 was an explosive time in US History Using the Graphic organizer below explain the events of 1968 JANUARY NOVEMBER www APRIL Dr King Shot Dies in Memphis Curfew On 4 000 Guards Called 1968 JUNE www AUGUST

Assassination of JFK LBJ takes oath of office LBJ is President CIVIL Rights Act 1964

John F Kennedy

A Use the horizontal line test to find if the following function is one to one 2 1

1 Find slope and y intercept 10 1998 6 41 2 N X 10 8 6 4 2 2 4 6 8 10 246 8 1 10 10 8 6 4 2 CO 8 4 2 2 4 6 8 6 8 10 24689 2 4

Watch the following video and answer how this mass influx of retirees may impact you when you graduate https www youtube com watch v iQwUIMan7y8

Reactions to this current discussion on LOANS affecting parents retirement trajectory Would you do this for your child Whatever you answer give an explanation https www youtube com watch v VKrJXEOKY O

Bay of Pigs Invasion Cuban Missile Crisis LBJ takes oath of office LBJ is President CIVIL Rights Act 1969

Election of 3960 How did television influence the 1940 Presidential election John F Kennedy New Frontier Space Prog Domestic Policy Amendment

Write equations for the vertical and horizontal lines passing through the point 4 2 vertical line horizontal line

A lighthouse is on an island 250 meters off shore The lighthouse beam makes a full turn every 13 seconds How rapidly is the point where the beam meets the shoreline moving along the shoreline when the beam meets the shoreline at a point 1400 meters from the lighthouse m s enter your answer rounded to 3 decimal places

5 Radioactive isotope Radium 226 dec exponentially If the half life is 1 6 thousand years and the current mass 653 90 grams what will the mass be thousand years from now 7 Radioactive isotope Radium 226 dec exponentially If the half life is 1 6 thousand years and the current massi 635 70 grams what will the mass be thousand years from now

The volume V r in cubic meters of a spherical balloon with radius r meters is given by V r The radius W t in meters after 1 seconds is given by W t 41 3 Write a formula for the volume M t in cubic meters of the balloon after t seconds It is not necessary to simplify M t 4

RNA intereference is a mechanism for silencing gene expression by acting on OA DNA replication O B RNA transcription C mRNA stability D mRNA translation E C and D Fill in the blank

In the figure below what method is used in the experiment A Myo1565lacz B XbaI 1565 A lacZ TATA C MEF 2 E1 D O An in situ hybridization microarray O Transgenic mouse O siRNA inhibition Myo1565lacZ A

f x x2 3x 4 X 2

cellular Matrix protein ranscription factor intracellular domain ptor tyrosine Kinase In the signaling diagram on the below the ligand binds to a blank Ligand binding domain Extracellular Fill in the Ligand paracrine factor Cytoplasm Inactive P P responding protein ATP ADP P Active responding protein

Application of FGF8 coated beads induce limb mesenchymal cell proliferation In contrast FGF8 coated beads implanted on the epidermis of the back do not promote proliferation This experiment provides an excellent example of which of the following O Hedgehog signaling O paracrine signaling juxtacrine signaling O Competence

The amount of food needed for proper nutrition in cups C for a puppy weighing a certain aw b where a and b are amount in pounds w can be determined by the equation C constants For a puppy weighing 9 pounds the correct amount of food is 4 cups and for a puppy weighing 11 pounds the correct amount of food is 6 cups a Determine the values for a and b b Find the correct amount 2

Remember The dangling Modifier does not have a word words it can describe therefore you must change it to a dependent clause or supply it with some thing it can describe Example Walking slowly the fence startled me A fence can not walk Correction As I was walking slowly the fence startled me or Walking slowly I was startled by the fence The Old Man At the Bridge 1 Jempted to rest the bridge was a refuge 2 Staggering in his gait the overcast sky was overbearing 3 On his route to safety the road seemed hopeless 4 Speaking gently help was an option for him 5 Traveling Lightly dust settled over his clothing about his animals the time quickly passed Worrying abou Cautiously prodding him bombers were steadily advancing Giving in to sadness and fatigue Luck was t

V 9 ft 9 fti The perimeter is Simplify your answer Type a whole number or a decimal Round to the nearest hundredth as needed Find the perime Use 3 14 for

Find the area of the shaded region Each side is 2 cm

Find the area of the baseball diamond 22 ft 22 ft

Find the perimeter of the rectangle 3 cm by 15 cm

A rain gutter is to be installed around a house whose foundation is shown to the right Find the perimeter of the house then find the total cost of the gutter The gutter costs 3 99 per ft 25 ft The perimeter is The intel cost of the gutter is S 19 ft 31 ft 22 ft

1 Find the area of a 6 yd square 2 6 yd 6 yd The area is Simplify your answer Type a mixed numeral if possible Otherwise type a whole number or a fra