Questions

sin in 3T 4 3 372 Simplify your answer Type an exact answer using radicals as needed Rationalize all denomin

the excerpt to answer the question s that follow The people of the United States are drawn from many nations and chiefly from the nations now at war It is natural and inevitable that there should be utmost variety of sympathy and desire among them with regard to the issues and circumstances of the conflict Some will wish one nation others another to succeed in the momentous struggle The United States must be neutral in fact as well as in name during these days that are to try men s souls President Woodrow Wilson 1914 1 Which development caused the United States to change the foreign policy supported by President Wilson in the quotation a Russia and China withdrew its military forces from the conflict b The Central Powers began to use poison gas on the battlefield c German submarines attacked U S merchant ships and the Zimmerman Telegram d Hitler s use of mass production to kill off the Jewish population

all values of 0 if 0 is in the interval 0 360 and has the given function value sin 00 5791576 C alue s of 0 is are an integer or decimal rounded to five decimal places as needed Use a comma to s

In the circle below the measure of arc QT is 50 and the measure of angle P is 55 What is the measure of arc RS A 175 B 105 C160 D 135

csc 81 53 c 81 53 ype an integer or decimal rounded to four decimal places as needed

The measure of the minor arc in the circle shown below is 210 degrees

The measure of the minor arc in the circle shown below is 210 degree

1 0751 1 0751 pe an integer or decimal rounded to four decimal places as nee

Select all the central angles in circle G D E F A angle DAF Bangle EGB angle CGB Dangle EGF E angle BEG G C B

Briefly explain the error in the construction of the ogive below which illustrates the average quantitative GRE scores to the top 30 graduate schools of engineering Cumulative Frequency 2 25 20 15 10 S 0 744 756 770 777 784

1 0 Simplify your answer including any radicals Use integers or fractions for any numbers in the ESC

The diagram shows circle P G C D F H CLABC Select all the angles that are central angles A LADP BLCPD D ZEPF E ZFGH AE

Two chords intersect in circle O as shown 170 o What is the value of z in degrees to 74

Angle ABC is inscribed in a circle as shown B 120 C What is the measure in degrees of ZABC degrees

Angle Y is inscribed in the circle below Z 60 What is the measure of arc XZ A 120 B 30 C 300 D 60

We can find the remainder for the quotient using either substitution or synthetic division as discussed in class Using either method explain whether or not we can conclude that x 5 is a factor of the polynomial f x x 17 15 Show your work process to find the remainder Your answer must include what that remainder value is and if it indicates x 5 is a factor or not

dentify the graph of the function g x f x 1 2 from the transformation of the parent quadratic function f x

Solve using the square root property m 3 12 X D Font Size 4 A Q A BIUS X x 99

Identify the equation of a parabola with a minimum value of 1 of x x 2 3 Of x 2 x 2 3 o f x x 4x 5 of x x 4x 7

Let s assume that the function f x y c 3x 2y represents a joint probability mass function for x 1 3 5 and y 2 4 6 Determine a The value of c b P X 3 5 Y 3 c P X 3 d E X e V Y f Marginal probability distribution of X g Are X and Y independent Why or why not

n average a certain intersection results in an average of 1 3 traffic accidents pe etermine the probability of the following situations for any given week a Exactly I accident occurs b No more than 2 accidents occur c At least 3 accidents occur

Professor for one of your classes takes random sample of 100 student grades and obtains a mple mean of 85 with a sample standard deviation of 6 7 a Construct a 95 confidence interval for the true average grade b If this professor guessed that the standard deviation for grades overall is 10 what sample size would be required to obtain an interval width of 3 for a confidence level of 90

MATCH the indicated operation on the left with each simplified expression along the top Each row should contain exactly one check mark 1 7i a 2 3i 3 4 b 2 3i 3 4i c 2 3i 3 4i 2 3i 3 4i d THE 6 i O 5 1 0 24 0 68i 18 000 0 1

The figure shows a graph of the function f x in the xy coordinate plane 5 10 5 5 C Use the dropdown menus to indicate whether each statement is true or false f x has A a minimum of 8 B two real zeroes C a decreasing interval from 1 D a y intercept of 7 E A vertex at 1 8 F f x 0 over 0 5 Sign out

Solve the equation by completing the square x 8x 20 Ox 8 72 O x 10 2 O x 20 4 Ox 4 72

A ball is thrown into the air with an upward velocity of 40 feet second Its height h after t seconds is given by the function h t 16t 40t 12 Answer the following questions by typing your answer in the box provided for each part A In how many seconds does the ball reach its maximum height Round your answer to two decimal places B What is the maximum height of the ball Round your answer to the nearest foot feet seconds

Which of the following is true about the solutions for the equation 3x 5x 4 0 O Information about the solutions cannot be determined O There is only one real solution O There are two real solutions O There are two non real complex solutions

Solve the equation by using the quadratic formula 2x 8 x 1 i 65 2 0 x X 0 x 0 x 1 65 4 1 65 65 4 1 63 4

Compared to the quadratic parent function the graph of g x and translated from the parent function 1 2x 6 is

The height h t in feet of the ball above the ground t seconds after being thrown can be modeled by the function h t 16t 40t 5 What is the meaning of the number 5 the function h t The ball takes five seconds to reach the ground The ball reaches a maximum height of five feet O The ball takes five seconds to reach its maximum height O The ball was thrown from an initial height of five feet d Fab 2 9 29 US

When asked to write f x 2x 16x 7 in vertex form Carlos showed his work by writing the following Step 1 f x 2 x 8x 7 Step 2 f x 2 x 8x 16 7 16 Step 3 f x 2 x 4 9 Is Carlos correct in his reasoning Explain your reasoning B I US X X

Question 1 10 Determine the discriminant of the function g x 2x 10x 5 O 10 60 100 O 140

Identify the quadratic equation that has solutions of 3 O y 3x 10x 8 y 2x 5x 12 Oy 3x 10x 8 y 2x 5x 12 and 4

Use the figure below to answer the following questions a Determine the volume Round your answer to 2 decimal places Number in b Determine the surface area Round your answer to 2 decimal places Number in 166 in 237 in 148 in

6 IG 3 Slape Find the slope of the line through e

11 12 x x 1 What is the extraneous solution to this problem Type a response

A quadratic equation is equal to 0 the constant is 24 the quadratic term s coefficient is 1 the linear term s coefficient is 2 What is are the solutions to the problem PICK TWO 6 2 1 4

3 x 6 2x 5 When you solve this problem what is the value of each side of the equation ROUND YOUR ANSWER IF NEEDED O O O 4 13 11 17

10 3x 7 x 3 3 2 4 3 1 4 C

5x2 x 8 When you square both sides what is the resulting equation in the next step before you solve for x O O O O 4x 28 5x2 x 8 5x 2 x 8 5x 2 x 8

Two numbers multiply together to equal 72 but add together 18 What are the two numbers Select Select Select Select and

2x 2 10 When you square both sides what is the resulting equation in the next step before you solve for x O O O O 2x 2 10 2x 2 100 2x 2 100 2x 2 10

MacConkey agar is an example of a medium that is which of the following Choose one or more A differential based on ability to ferment mannitol B differential based on ability to ferment lactose C enriched with blood to support selected human pathogens D selective for Gram positive bacteria E selective for Gram negative bacteria F general purpose suitable for Gram negatives and Gram positives

The following are all used in applications to obtain estimates of the numbers of cells in a given sample such as food culture flask or soil Sort the items depending on whether the resulting data would represent direct or indirect counts Items 8 items Drag and drop into the appropriate area below Protein levels Categories Petroff Hausser chamber Pour plates Indirect counts Fluorescence activated cell sorter FACS Dry weight Direct counts Spread plating Optical densi

EACH PROBLEM WILL BE GRADED 0 12 1 Check if the following formula is a tautology p r q p p q r p 1000 goticfy the following

r q p p g r p formula is a tautology 2 How many elements ne 101 102 1000 satisfy the following state ment n is divisible by 5 or by 6 and n is not divisible by 9 3 Prove that the relation R defined on the set X Z by mRn3m 7n2 is divisible by 10 is an equivalence relation Determine its equivalence classes 5 R 2024 R How many different equivalence classes does this relation have 4 Let f n 3n 5 and g n n be two fungtin the functions

4 Let f n 3n 5 and g n n be two functions defined on Z Which of the functions f g fog gof are injective Please explain precisely why 5 Show that the operation r y x y xy is commutative associative and distributive with respect to x y x y 1 Which element is the inverse of 4 with respect to

Solve the following for x a 3x 11 2 b x5 2 2x 1 c 3x 1 2 x 3 2 marks 2 marks 2 marks

Find the quotient and remainder for x 4x 4x 10 x 3 5 marks

A school had a fund raising event The revenue came from three resources ticket sales auction sales and donations Ticket sales account for of the total revenue auction sales account for of the total revenue What fraction of the revenue came from donations of the revenue came from donations