Math - Others Questions

1 point 21 Find a vector that is perpendicular to the plane through the points A 5 1 1 B 0 4 3 and C 2 2 4 V

A doctor prescribes 250 mg of a drug The amount of the drug in the patient s body decays by 40 every Part 1 Write an exponential model for the A t the amount of the drug in the patient s system after t hours have passed A t help formulas Part 2 Use your formula to find the amount of the drug remaining after 3 hours have passed Round your answer to the nearest tenth help numbers mg hour Part 3 What is the half life of this drug Round your answer to the nearest whole number hours

The population of a fish farm in is modeled by the equation where t is time in years Part 1 What is the size of the initial population 500 help numbers Part 2 How long does it take to double the initial size of the population Round your answer to the nearest tenth 2 1 I fish 1995 years Part 3 What is the size of the population after 5 years Round to the nearest whole number fish P t 7500 2 13e 0 4t

A ball is dropped from a height of 5 ft The elasticity of the ball is such that it always bounces up one third the distance it has faller a Find the total distance the ball has traveled at the instant it hits the ground the fifth time Enter an exact number ft b Find a formula for the total distance the ball has traveled at the instant it hits the ground the nth time an ft Sprccc com 568222 R T ro 500 M C

A parcel of land lies between two parallel streets How many acres will remain in the parcel after the strip shown is taken for a new street 1 acre 43 560 ft 6 123 730 ft New Street 78 0 ft X acres 837 ft Street Street 311 ft

Tran a driver of a courier motorcycle recorded the distances he travelled in kilometres on 15 trips The data is given below Calculation step Median 15 19 26 Question 1 What is the median for the above mentioned data Question 2 18 13 7 Upper Quartile 21 23 18 Write down the upper and lower quartiles 28 27 29 5 20 7 2

For the given data 22 9 19 2 38 40 7 38 44 6 12 10 20 31 48 45 Determine the Quartiles Q1 Q2 and Q3 of the data Q1 Q2 Q3

lodine 123 is a radioactive isotope used in medicine to test the function of the thyroid gland Its half life is 13 1 hours A 575 microcurie uci dose of iodine 123 is administered to a patient The quantity Q left in the body after t hours is given by the equation Q 575 5 1 1173 Answer parts a through d CAVA www c Determine the rate of change of the quantity of iodine 123 at 1 day The rate of change of iodine 123 at 1 day Is 8 55 Ci hr Type an integer or decimal rounded to two decimal places as needed d Determine the rate of change of the quantity of iodine 123 at 3 days What do your answers say about the rate at which iodine decreases as time increases The rate of change of iodine 123 at 3 days is Ci hr Type an integer or decimal rounded to two decimal places as needed torr

Question 29 Suppose you reach into your mailbox that contains 9 pleces of junk mail 4 letters and 1 magazine Assuming you can t feel the difference between the types of mail what is the probability that you select either a letter or the magazine Enter your answer as a fraction

nt a unit vector with positive first coordinate that is orthogonal to the plane through the points P 1 1 1 Q 4 6 4 and R 4 6 8 100

Question 31 Suppose we roll a die once What is the probability that we roll a 4 or an even number

Assignment 9 Problem 6 1 point Find the measures of the three angles in radians of the triangle with the given vertices D 1 1 1 E 1 4 2 and F 4 2 8 1 ZD 2 ZE 3 LF

A couple decides to have children until they have one boy and one girl but they will not have more thar three children Choose the correct sample space for this random experiment Os GGG GGB GBG GBB BBB BBG BGB BGG Os GGG GGB BBB BGG Os GB BG BBG GGB Os GB BG BBG GGB BBB GGG

A bag of M M s has 7 red 5 green 6 blue and 4 yellow M M s What is the probability of randomly picking give answer as a reduced fraction 1 a yellow 2 a blue or green 3 an orange

Assignment 9 Problem 13 1 point The distance d of a point P to the line through points A and B is the length of the component of AP that is orthogonal to AB as indicated in the diagram So the distance from P 2 5 1 to the line through the points A 0 3 5 and B 5 5 2 is

Question 18 A sample was done collecting the data below Calculate the standard deviation to one decimal place X 7 10 20 22

Assignment 9 Problem 15 1 point Determine if the pairs of vectors below are parallel orthogonal or neither a 3 1 1 and b 12 4 40 are a 3 1 1 and b 12 4 4 are a 3 1 1 and b 15 5 6 are Note You can earn tial credit on this problem

Use the compound interest formula to compute the future value of the investment Round to the nearest cent 1 500 at 2 compounded monthly for 6 months OA 1 514 93 OB 1 515 06 OC 1 689 24 OD 1 501 25

A sample of size n 10 is drawn from a population The data is shown below 115 8 122 2 132 7 114 109 9 92 4 115 6 106 3 132 7 132 7 What is the range of this data set range What is the standard deviation of this data set Round to 2 decimal places stdev

1 point v 3 5 10 w 8 9 1 Find the cosine of the angle between v and w cos 8

Assignment 9 Problem 19 1 point Are the following statements true or false 1 For any scalar c and any vector 7 we have cu c 2 ix ki j k 3 If and are any two vectors then w w 4 The value of x is always zero 2

Assignment 9 Problem 14 1 point Let a b c and i be the three dimensional vectors 4j 5k b 4i 8j k 3i 3j i 37 Perform the following operations on these vectors a b a b a c c a a Note You can earn partial credit on this problem

A company in Herriman is building a housing subdivision and needs appraisals Roberto can appraise value of the entire subdivision 30 hours faster than Juan and 24 hours slower than Roberto and Jua working together How many hours would it take Juan to appraise the subdivision

Assignment 9 Problem 1 point Find a vector orthogonal to both 1 3 0 and to 0 3 3 of the form 00

Assignment 9 Problem 12 1 point Let a 10 7 2 and b 2 5 2 be vectors A Find the scalar projection of b onto a Scalar Projection B Decompose the vector b into a component parallel to a and a component orthogonal to a Parallel component 0 Orthogonal Component 00

1 point P 10 5 1 R 8 3 5 Find the point Q such that R is the midpoint of PQ Q

Assignment 9 Problem 5 1 point Find the scalar and vector projections of b onto a where a 1 1 2 and b 2 8 6 1 comp b 2 proj b

Assignment 9 Problem 2 1 point Find the following expressions if a 3i 5k b i j 5k and c 4i 9j 3k 1 a b 2 a c 3 b c

Determine the distribution of the data pictured below Frequency 6 5 4 3 2 1 1 2 Uniform Bell shaped Skewed right Skewed left 3 data 4 5 6 Q

4 3 2 1 0 2 3 Number of Children How many adults were questioned 4 5 15 Enter an integer or decimal number more What percentage of the adults questioned had 1 children

Question 14 IU 9 The line graph below shows the number of times Maria drove her car each day of the week 8 7 6 5 4 3 2 1 1 1 O O 52 answered 2 Y 3 4 5 Day of Week 6 7 E How many times did Maria drive her car on day 4 5

av experiment by retrospective study dvobservational study ev experimental units c treatment Definitions a experimental conditions imposed on the subjects b a study in which data from the past is examined c a study in which a treatment is applied and responses are observed d a study in which data is collected without anything being done to the sub e The people animals or things on whom experiments are performed

lodine 123 is a radioactive isotope used in medicine to test the function of the thyroid gland Its half life is 13 1 hours A 575 microcurie uci dose of iodine 123 is administered to t 13 1 patient The quantity Q left in the body after t hours is given by the equation Q 575 1 2 a Determine the time it takes for the level of iodine 123 to drop to 25 Ci It takes 59 26 hr for the level of iodine 123 to drop to 25 Ci Type an integer or decimal rounded to two decimal places as needed b Determine the rate of change of the quantity of iodine 123 at 10 hr The rate of change of iodine 123 at 10 hr is 17 92 Ci hr Type an integer or decimal rounded to two decimal places as needed c Determine the rate of change of the quantity of iodine 123 at 1 day The rate of change of iodine 123 at 1 day is Ci hr Type an integer or decimal rounded to two decimal places as needed Answer parts a through d

What is wrong with the following grouped frequency c Grades Frequency 50 55 55 60 60 70 9 70 80 15 80 90 7 90 and above 4 All 2 4 The classes do not all have the same width There are open ended classes The classes overlap

The science club at a large middle school has 25 members The members want to survey a sample of 125 students to estimate the percentage of all students at the school who plan to submit a science fair project Each member of the club asks 5 friends the following question Will you be submitting a project to the science fair this year Of all the friends 76 percent replied with a yes Which of the following is a reason why the sample selection method described is NOT fair O A The club members did not survey every student at the school B A sample of 125 students is too small to be representative of students at the school O C The percentage of students who plan to submit a project is not equal to 50 O D The club members only surveyed their friends so the sample is not likely to be representative of the students at the school

Determine whether the value 15 is a parameter or statistic 15 of College A s students are women Parameter Statistic

The city of Frederick has 8687 registered voters There are two candidates for the city council in an upcoming election Marfani and Rahman The day before the election a telephone poll of 500 randomly selected voters was conducted Of them 140 said they would vote for Marfani 109 said they would vote Rahman and 251 were undecided What is the population size people What is the sample size people

Suppose an Egyptian mummy is discovered in which the amount of carbon 14 present is only about three fourths the amount found in living human beings The amount of carbon 14 0 0001216t where yo is the amount of carbon 14 present in living human beings About how long ago did the Egyptian die present in animal bones after t years is given by y Yoe About yr ago the Egyptian had died Round to the nearest integer as needed

REVIEW 1 For the following quadratic functions state the transformations then graph them on the grid provided a y x 2 4 b y x 1 3 c y 2 x 2 101 ID X 10 X

dollars where v is the speed of the train in miles per hour Note that the cost goes up as the square of the speed Other costs including labor are 480 per hour How fast should the train travel on a 420 mile trip to minimize the total cost for the trip The cost per hour for fuel to run a train is 8 Write the total cost C as a function of the speed v C v Use integers or fractions for any numbers in the expression

A freshwater pipeline is to be run from a source on the edge of a lake to a community on an island 3 miles offshore as shown in the figure Answer the questions that follow 3 miles X x 20 x 20 miles Som A If it costs 1 4 times as much to lay pipe in the lake as it does on land what should x be in miles to minimize th total cost of this project miles Round to the nearest tenth as needed

Two planes leave an airport at the same time Their speeds are 130 miles per hour and 110 miles per hour and the angle between their courses is 48 How far apart are they after 1 5 hours Round your answer to the nearest whole number mi

What is wrong with either one or the other of the two definitions of holiness referred to here I humbly conceive there has been too little attention to the nature of holiness among divines in general and that a proper and intelligible definition of it is not easily to be found in bodies of divinity or elsewhere And most of those who think it a very easy matter to tell what holiness is and that we are all agreed in this have been contented with a set of words which express no distinct ideas but leave the thing wholly in the dark They will perhaps say God s holiness is his purity If it is asked In what does this purity consist the common answer is In that which is opposite to all sin the greatest impurity We have now got what I think is the most common definition of holiness But who is the wiser Samuel Hopkins Inquiry into the Nature of True Holiness O Vagueness O Circularity O All the above O None of the above

direction Ind the magnitude P si 121 4 15 115 38 15 067 55 15 025 38 13 157 38 of the 0

Each row of the spreadsheet below contains the position of a particle at a given time The times are stored in column B and the corresponding positions in column A Column C should contain the average rate of change of position with respect to time between two consecutive rows To compute these rates of change you will write a formula in cell C1 and copy it to cells C2 C3 C4 and C5 Assume all cells not shown below are blank a What formula should you write in C1 O A2 A1 B2 B1 B2 B1 A2 A1 B 2 B 1 A 2 A 1 B 2 B 1 A 2 A 1 A 2 A 1 B 2 B 1 A2 A1 B2 B1 A 2 A 1 B 2 B 1 OF B2 B1 A2 A1 position time A B ITT 3 4 8 123456 4566 O OD 817 WO average rate of change C b Suppose you copy the formula from C1 to cell C6 What number will be displayed when you press the enter key

Under what conditions can one trap serve a group of floor drains shower vert ns washing machines or laboratory sinks sig of sub gninsolo quinimmo wolt 15jew unitatilios f fixtures are in different rooms If fixtures can receive food If fixtures are in the same room and not for food or organic matterji zi nodW If fixtures are on different floor levels Inen zed pribliud sal nord W sidizzog ton a agunicib What is the required interval for cleanouts in horizontal drainage piping of 4 boriogni al 1st Sleeve inst H ches or less 1918 8518 fis ni sib hoolls teum ydW 10 meters 15 meters 20 meters H 25 meters slanster igjon 3 What is the purpose of cleanouts installed within 1 meter upstream of soil stacks waste stacks and rainwater leaders a Aesthetic enhancement b Preventing corrosion c Permitting cleaning of horizontal drainage piping d Facilitating water flow 4 What is the required size for cleanouts connected to pining of 4 inches or less zien

sec x csc X sin x sec x cos X CSC X hoose the correct proof below A sec xcsc x sin x sec x 1 1 COS X sin x 1 sin sin x cos x 2 COS X sin x cos x cos X CSC X OC sec xcsc x sin x sec x 1 1 sin x COS X X 1 sin X sin X sin x cos x cos 2 X sin x cos x cos X CSC X 1 cos X B sec xcsc x sin x se 1 1 sin cos x sin x sin x cos x 1 sin x 2 sin x cos x cos 2 X cos X CSC X O D sec xcsc x sin x se 1 1 COS X sin x sin x cos x 1 sin x 2 sin x cos x cos 2 X cos X CSC X

verity the following identity 2 tan 0 1 1 tan 0 2 Which of the following four statements establishes the identity tan 0 1 tan 0 1 sec 0 1 tan 0 O A B cos 20 O C cos 20 sin 0 cos 0 cos 20 2 sin 0 cos 0 tan 2 D cos 20 2 sin 0 cos 0 cos 20 sin 20 cos 0 sec 0 tan 0 1 2 0 1 2 CSC 0 tan 2 0 1 csc 0 tan 0 1 1 tan 0 tan 0 1 2 2 1 tan 0 tan 0 1 1 tan 0

Verify the following identity 1 cos 2x sin 2x tan x Which of the following three statements verifies the given equation 1 1 2 cos x 2 sin x cos x 1 cos 2x sin 2x O1 cos2x sin 2x 1 cos 2x sin 2x 1 1 2 sin x 2 sin x cos x 1 2 sin x 1 2 sin x cos x 2 cos x 2 sin x cos x 2 sin x 2 sin x cos x 2 sin x 2 sin x cos x tan x tan x tan x

Simplify the given expression The result will be one of sin x cos x tan x cotx secx or cs tan x cot x csc X tan x cot x