Questions

4 What value for x 2x 7x 4 0 makes the equation true 2x 1 a 6 b 5 c 4 d 3

Extend look at the equation What other value of x would make the equation true 2 What value for t below is a solution to the equation 6t2 8t 8 a 0 b 1 c 2 d 3

3 Given the syst Extension Questions 1 Which value for x below is a solution to the equation x 3 x 5 0 a 3 b 5 c 7 d 9 Extend look at the equation What other value of x would make the equation true

Label the diagram illustrating the evolution of citrate utilization in E coli during a long term evolution experiment 40 000 35 000 New clade of Cit clones catabolizes citrate A Actualizing mutation B Occurs Extinct Cit ancestor Generations 30 000 25 000 20 000 15 000 10 000 5 000 C Modern Cit clade D Refining mutations E Occur Potentiating mutation occurs

4 Taylor makes monthly payments of 180 25 on a current loan from her bank The bank charges a nominal interest rate of 9 compounded monthly What is the loan amount PV of the loan if it is to be paid back over 6 years

b Use your answer above to 2 Suppose 60 is in standard position Find the exact values of the coordinates of the point where the terminal side intersects the circle x y 9 Give your answer as an x y pair fradius 3

Label the image illustrating how preexisting stars provide the necessary elements for new solar systems Supernova B Elements dispersed Sunlike star Red supergiant Prestar nebulla Black holes and neutron stars

Graph at least two complete cycles of Find exact values for a sin 1 a sin b cos 3

Label the following illustration of the life cycle of Chlamydia trachomatis Nucleus A Reticulate body replicates and establishes persistent infection B Elementary body differentiates into a reticulate body Reticulate bodies develop into elementary bodies D Elementary body attaches to host cell Elementary body is endocytosed by

New Paper Products Ltd purchased a new machine for 150 000 This machine adds 25 000 to their revenue every year and costs 7500 every year in maintenance costs How long in years will it take the company to recover the 150 000 invested in this machine if the interest rate is 8 assume annual compounding

Given sin 0 4 and 0 is in Quadrant III use a calculator to find to the nearest tenth Remember to show explanatory work

7 The Pretzel Co purchased a new machine for their factory today The machine requires maintenance at the following rates for the first 6 years Year Maintenance Cost 0 0 1 0 2 1500 3 1750 4 1900 5 6 2300 2500 If the bank pays interest at 9 how much must Pretzel Co set aside today to meet the maintenance costs for the next 6 years

3 1 a What is the reference angle for 0 10 Illustrate with a sketch b Use your answer above to find sin 0 cos 0 and tan 0 for 0 3 10 Give exact answers

5 The best leaper in the animal kingdom is the puma which can jump to a height of 3 7 m when leaving the ground at an angle of 45 With what speed must the animal leave the ground to reach that height

Find the area under a curve defined by parametric equations Question

Uneven cashflows 6 Ms Alana deposits 2000 every year for 4 years in a savings account that pays interest at 8 compounded annually She plans to withdraw all the money in her account at the end of Year 6 What is the amount that she withdraws Year Cashflow 0 1 2 3 4 5 10 6

5 A vector has an x component of 25 0 units and a y component of 40 0 units Find the magnitude and direction of the vector

5 A Ferris wheel with a radius of 25 feet revolves once every 10 minutes a What is the angular velocity of the wheel in radians per minute Give an exact answer b What is the linear velocity of a person riding the Ferris wheel Give your answer in feet per minute rounded to the nearest tenth

3 A loan of 100 000 must be repaid in monthly installments of 599 55 over 30 years The bank compounds interest every month What is the nominal annual rate of interest on this loan

6 Graph y 1 2sin x on 0 on 0 x 6

1 Mr Wallace has promised his granddaughter that he will provide 50 000 to help her pay for college She plans to start college in 8 years How much must Mr Wallace deposit every year into an account that pays 5 5 interest compounded annually to have the money in 8 years

2 The New Bank of New Orleans offers loans to its customers at 9 annual nominal interest compounded monthly If Sebastian borrows 30 000 and makes monthly payments of 622 75 how many years will it take him to repay the loan

The position of a weight attached to a spring is s t 2 cos 4 t inches after t seconds Complete parts a d belo a What is the maximum height that the weight rises above the equilibrium position in b What are the frequency and period The frequency of the oscillation is cycles per sec Type an integer or a fraction Type an exact answer using as needed The period of the oscillation is sec Type an integer or a fraction Type an exact answer using it as needed c When does the weight first reach its maximum height after sec Type an integer or a fraction Type an exact answer using as needed d Calculate and interpret s 1 2 s 1 2 Round to the nearest integer as needed Interpret s 1 2 Choose the correct answer below OA After 2 sec the weight is about 1 2 in above the equilibrium position OB After 1 2 sec the weight is about 2 in above the equilibrium position 1 OC After 1 2 sec the weight is about in above the equilibrium position

4 Find the exact simplified value of the expression sin 3 7 3 cos 2 3

F What is the exact length of the arc intersected by a central angle of 40 in a circle of radius 3 inches

7 Graph at least two complete cycles of y x

Find exact values for a sin 1 b cos 1

Find exact values for a tan 1 1 tan 7 b cos 1 1 cos 1

Label the following illustration of a spirochete cell A Outer membrane sheath B Periplasmic space Protoplasmic cylinder Flagellum

Consider the figures to the right Assume that one number from 1 to 7 is equally likely to be selected at random Each number corresponds to one of the seven figures Determine the probability of selecting an even number given that a square is selected 1 2 3 4 5 6 red blue yellow red yellow blue red The probability of selecting an even number given that a square is selected is Type an integer or a simplified fraction

Consider the circles shown to the right Assume one circle is selected at random and each circle is equally likely to be selected Determine the probability of selecting a number less than 5 given that the number is less than 6 1 3 6 The probability of selecting a number less than 5 given that the number is less than 6 is Type an integer or a simplified fraction

For a set of bivariate data x 5 25 y 6 11 s x 1 22 s y 2 35 and r 0 7 The y intercept of the linear regression equation is 0 978 0 86

A quality control inspector is checking a sample of lightbulbs for defects The table summarizes the results If one of these lightbulbs is selected at random find the probability that the lightbulb is good given that it is not 20 watts Wattage Good Defective Total 20 55 6 61 50 67 9 76 100 94 11 105 Total 216 26 242 The probability is Type an integer or a simplified fraction

If the pointer in the figure is spun twice find the probability that the pointer lands on yellow Y both spins The probability is Y G R G

Consider the figures to the right Assume that one number from 1 to 7 is equally likely to be selected at random Each number corresponds to one of the seven figures 345 shown Find the probability of selecting a circle given that an odd number is selected A3 wwww P circle odd Type an integer or a simplified fraction

Consider the circles shown to the right where the color of the number is in parentheses Assume one circle is selected at random and each circle is equally likely to be selected Determine the probability of selecting a red number given that the circle is green 2 4 5 orange green black black orange yellow green orange red black black red The probability of selecting a red number given that the circle is green is Type an integer or a simplified fraction

Consider the wheel to the right If the wheel is spun and each section is equally likely to stop under the pointer determine the probability that the pointer lands on an even number given that the color is purple Note that the purple sectors are the sectors numbered 10 12 5 7 and 8 9 10 11 12 8 7 2 6 5 3 4 The probability that the pointer lands on an even number given that the color is purple is Type an integer or a simplified fraction

For a set of bivariate data x for x 5 25 y for y 6 11 s for x 1 22 s for y 2 35 and r 0 7 The slope of the linear regression equation is 1 93 1 35 0 363

If the pointer in the figure is spun twice find the probability that the pointer lands on green G both spins G

8 EVALUATE at x 8 round all answers correctly to three decimal places g x 10e 5x Type a response

6 sin

Given the following exponential function identify whether the change represents growth or decay and determine the percentage rate of increase Hecrease y 420 1 04

If the pointer in the figure is spun twice find the probability that the pointer lands on yellow Y both spins The probability is Y G G R

EVALUATE round all answers correctly to three decimal places

round all answers correctly to three decimal places 9e Type a response 6 EVALUATE at x 4 round all answers correctly to three decimal places

Consider a collection of envelopes consisting of 2 red envelopes 1 blue envelope 3 green envelopes and 2 yellow envelopes If two envelopes are selected at random with replacement determine the probability that both are red envelopes The probability that both envelopes are red is Type an integer or a simplified fraction

A board game uses the deck of 20 cards shown to the right If one card is drawn determine the probability that the card shows a monkey or an odd number 23 The probability of selecting a monkey or an odd number is 9 13 21 3 2K 3 2349

The table shows the results of a coffee taste test If one of the individuals surveyed is selected at random determine the probability that the individual selected is a man given that the person prefers Brand B Men Women Brand A 56 Brand B 35 Total 91 48 70 118 Total 104 105 209 The probability that the individual selected is a man given that the person prefers Brand B is Type an integer or a simplified fraction

Wattage Good Defective Total 86 20 78 8 50 91 14 105 100 67 13 80 Total 236 35 271 A quality control inspector is checking a sample of light bulbs The table summarizes her results If one of the light bulbs is selected at random find the probability that the light bulb is good given that it is a 20 or 100 watt bulb The probability is Simplify your answer Type an integer or a fraction

If the pointer in the figure is spun twice find the probability that the pointer lands on green and then red The probability is a fraction Simplify your answer Y