Basic Math Questions and Answers

Solve the equation for the stated variable Solve C H 1 rb for r for r r Simplify your answer

K Given the two terms in the Fibonacci sequence shown below find the specified term F26 121 393 F27 196 418 find F25 F25

Part 2 of 2 a a13 31 b The sum of the terms from a to a13 inclusive is For the following arithmetic sequence a find the specified term an and b find the sum of the terms from a to an inclusive 7 9 11 13 find a13 HW Score 35 3 Points 0 5 of

K Given the two terms in the Fibonacci sequence shown below find the specified term F31 1 346 269 F32 2 178 309 find F30 F30

K 4 When dropped a ball rebounds to of its original height How high will the ball rebound after the 6th bounce if it is dropped from the height of 25 ft 25 On the 6th time it rebounded ft Round to 4 decimal places

K Identify the sequence as either arithmetic or geometric List the next two terms of the sequence 2 10 50 250 Select the correct answer below and if necessary fill in the answer box to complete your choice OA This is not a sequence OB The sequence is geometric The next two terms in order are Type integers or fractions OC The sequence is arithmetic The next two terms in order are Type integers or fractions and and

Identify the sequence as either arithmetic or geometric List the next two terms of the sequence 9 11 13 15 Select the correct answer below and if necessary fill in the answer box to complete your choice OA The sequence is geometric The next two terms in order are Type integers or fractions OB This is not a sequence OC The sequence is arithmetic The next two terms in order are Type integers or fractions and and

K For the following arithmetic sequence a find the specified term an and b find the sum of the terms from a to an inclusive 7 9 11 13 find a a 13 a13 C

K Identify the sequence as either arithmetic or geometric List the next two terms of the sequence 1 1 1 2 8 32 2 Is the sequence arithmetic or geometric A Geometric OB Arithmetic List the next two terms in the sequence 1 1 1 2 28 32 Type integers or simplified fractions

Harry and Sally can both produce fish and fruit Sally can produce 1 kg of fish in 4 hours and 1 kg of fruit in 5 hours Harry can produce 1 kg of fish in 5 hours and 1 kg of fruit in 2 hours Each person wants to have 4 kgs of fish and 6 kgs of fruit per week Each person works for 20 hours a week Who has an absolute advantage in fish Who has an absolute advantage in fruit O Sally Sally O Harry Sally Sally Harry O Harry Harry O Both Both

1 point Let A 1 5 5 B 1 3 5 and P k k k The vect from A to B is perpendicular to the vector from A to P when k Preview My Answers You have ottempted t Submit Answers

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 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

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 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 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

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

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

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

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

Verify the identity csc 2 x cot x 1 2 cot x Which of the following four statements establishes the identity O A csc x cot x 1 cot x cot x 1 2 cot x OB csc x cot x 1 cot2x cot x 1 2 cot x OC csc x cot x cot x 1 cot x 1 2 cot x OD csc 2 x cot x 1 1 2 cot x

sec x csc X cot x tan x Choose the correct proof below OA sec x csc x cot x 1 1 cos x sin x sin x cos x 1 cos x 2 sin x cos X tan x sin x 2 OC sec x csc x cot x 1 1 COS X sin x 2 1 cos tan X x sin x cos X 2 sin x sin x cos X COS X sin x OB sec x csc x cot x 1 1 cos x sin x 2 1 cos X sin x cos x sin x 2 sin x cos X tan x OD sec x csc x cot x 1 1 COS X sin x sin x cos X 2 1 cos X sin x cos x 2 sin X tan x ICOS X sin x

Verify the identity sin x sinx cot x cscx Choose the sequence of steps below that verifies the identity O A OB O C sin x sin x cot x sinx 1 cot x CSC X sinx sinx cot x sinx 1 cot x 1 csc x 1 sinx sinx cot x sinx cot x 1 OD sinx sinx cot x 1 cot x csc x CSC X csc x csc x CSC X CSC X csc x CSC X

1 sint cost Choose the sequence of steps below that verifies the identity O A OB O C cost 1 sint O D 1 sint 1 sint 1 sint cos t cost 1 sint 1 sint cos t 1 sint cost 1 sint cos t 1 sint cos t 1 sint cost 1 sint cost 1 sint 1 sint 1 sint 1 sint 1 sint 1 sint 1 sin t cos t 1 sint 1 sin t cos t 1 sint 1 sin t cos t 1 sin t cos t cost 1 sint 1 sin t cos t cos t 1 sin t cost 1 sin t cos t cos t 1 sint cos t cos t 1 sint cos t 1 sin cost 1 sin cost 1 sin cost 1 sin

What are past treatments procedures to deal with domestic violence impact on youth treatments procedures provide 5 6 past answer in 5 paragraphs What are current or forthcoming solutions with this issue 3 total solutions answer in 2

Match the graphs below with the following descriptions by indicating the graph corresponding to each description in the answer blank to the left of the description Note that because this is a matching question it does not show which parts are incorrect year 1 The concentration of tree pollen in the air over the course of a 2 The mass of Carbon 14 in a historical specimin 3 The cost of a product in an economy suffering from a constant inflation rate that persists over a very long time 4 The distance from the finish line of a runner waiting for the start of a race and then running at a constant speed 5 The number of bacteria on a nutrient petri dish after a group of bacteria is initially introduced B O E

2 The table below shows the prices of several items at the baseball game Item Price soda 1 00 1 05 2 80 small fry hotdog burger corndog George had 5 00 when he went to the game If he bought 1 hotdog what is the most expensive item he can buy with the money he has left 3 05 1 15

Suppose A and B are sets Describe the conditions under which the following statement would be true A A B Choose the best condition below that makes the above statement true AUB 0 O A

4 Write the a vertex 1 4 point 1 8 equations given the following information b roots 5 0 4 0 paint 3 4

f x 1 x 1 2 nksiyonu veriliyor

Use the fact that if A A A 3 2 A ab c d then A 1 1 to find the inverse of the given matrix if possible Check that AA1 12 and ad bc C a Select the correct choice below and if necessary fill in the answer box to complete your choice d b Type an integer or a simplified fraction for each matrix element OB The matrix does not have an inverse

A 9 4 9 7 11 A 9B 2 B 2 1 7 1 6 4 1888 Type an integer or decimal for each matrix element

possible AB and BA If it is not possible explain why 44 01 A A Select the correct choice below and fill in any answer boxes in your choice OC AB B 3061 5048 AB Simplify your answers Simplify your answers If it is not possible to find AB explain why Choose the correct answer below A It is possible to find AB OB AB Simplify your answers OD It is not possible to find AB 4

Determine whether B is the inverse of A M 1 1 1 4 5 0 0 3 11 Is B the inverse of A O Yos O No B 55 14 11 44 12 5 4 1

the given system of equations by using the inverse of the coeffic 4 5x 3 0y 21 0 0 5x 0 4y 0 5 3 y 0 plify your answer

Find sin 20 if cos 0 8 17 where 0 is in the fourth quadrant sin 20 Type an integer or a fraction Simplify your answer

K tan x sin 2x 1 cos2x Which of the following three statements verifies the given equatio O sin 2x 1 cos2x O sin 2x 1 cos2x sin 2x 1 cos2x 2 sin x cos x 1 2 cos x 1 2 sin x cos X 1 1 2 cos 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 cos x 2 sin x cos xX 2 sin x tan x tan x tan x

cos 0 csc 0 cot 0 Which of the following four statements verifies the identity OA cos 0 csc 0 sin 0 O B cos 0 csc 0 1 cos OC cos 0 csc 0 cos 0 OD cos 0 csc 0 sin e cos 1 sin 0 1 sin 0 1 sin 0 cos 0 cos 0 sin 0 sin 0 cos cos 0 sin 0 sin 0 cos 0 cot 0 cot 0 cot 0 cot 0

Tom did two surveys to find out the different drink preferences of adults and children He asked what they liked to drink with their breakfast Adults A Total 40 How many adults chose water What fraction of adults chose orange Give the fraction in its simplest terms orange water coffee tea 2 2 How many children chose coffee Which group A or C had most tea drinkers Children C Total 80 2 2 Mai EN

30 people were asked What is your favourite fruit Here are the results Fruit banana apple grapes orange Frequency 9 9 6 6 4 banana apple grapes orange Complete the pie chart Click one of the colours in the key then click a sector to colour it What fraction of the people chose grapes Give the fraction in its simplest terms 2