Basic Math Questions and Answers

7 and 12 The histogram shows the starting salaries rounded to the nearest thousand dollars for college graduates based on a random sample of recent graduates Determine whether the following statement is true or false according to the graph More college graduates had starting salaries in the 61 000 65 000 range than in the 46 000 50 000 range of Graduates Frequency 400 300 200 100 0 Question 34 of 82 Starting Salaries of Recent College Graduates 41 45 46 50 51 55 56 60 61 65 66 70 71 75 Salary thousands of dollars Q This quiz 8 This questic Choose the correct answer below OA True because the bar for 61 65 is taller than the bar for 46 50 B False because the bar for 61 65 is shorter than the bar for 46 50 OC False because the bar for 61 65 has the same height as the bar for 46 50 O D True because the sum of the heights of the first two bars in the graph is greater than the sum of the heights of the last two bars

K A random sample of 32 male college students is selected Each student is asked his height to the nearest inch The heights are shown in the frequency distribution below Construct a histogram and a frequency polygon for the data Height Frequency O C O C Frequency PN Frequency 66 67 68 69 70 71 72 73 74 75 2 3 2 1 3 7 4 5 14 66420 p 66 67 68 69 70 71 72 73 74 75 Heights of Male College Students Select a polygon representing the given data frequency distribution O A Q HO 66 67 68 69 70 71 72 73 74 75 M 66 67 68 69 70 71 72 73 74 75 Heights to the nearest inch Q A S 66 67 68 69 70 71 72 73 74 75 Heights to the nearest inch Q Q G Q GEEEE O D OB D Aquabes Frequency Th 66 67 68 69 70 71 72 73 74 75 Heights of Male College Students 66 67 68 69 70 71 72 73 74 75 66 67 68 69 70 71 72 73 74 75 Heights to the nearest inch 66 67 68 69 70 71 72 73 74 75 Heights to the nearest inch Q G Q Q 5 Q ON W

A Ferry shuttles people from one side of the river to the other In still water the ferry s speed is 25 mi h and the river flows directly south at 4 mi h Suppose the ferry heads directly west what is the ferry s speed and direction Speed Direction mi h degrees South of West

3 Two forces F 3i 2j and F 4i 3j act on an object and move it along a straight line from the point 8 4 to the poing 3 5 Find the work done by the two forces acting together The magnitudes of F and F are measured in pounds and the distance in feet

Find u v where is the angle between u and v u 11 v 26 0

2 Find a scalar k so that the vectors u 9 k and 7 4 6 are orthogonal

Let 2 3 and 6 5 k Find k so that a and b will be orthogonal form a 90 degree angle k

1 Given the vectors 3 7 and 9 3 find the following a v u

Find u v where is the angle between u and v u 45 v 90 0 2 3

At the end of 2024 Teal Mountain Co has accounts receivable of 697 200 and an allowance for doubtful accounts of 22 590 On January 24 2025 it is learned that the company s receivable from Madonna Inc is not collectible and therefore management authorizes a write off of 4 513 a Prepare the journal entry to record the write off List debit entry before credit entry Credit account titles are automatically indented when amount is entered Do not indent manually If no entry is required select No Entry for the account titles and enter O for the amounts Account Titles and Explanation b Debit Before Write Off What is the cash realizable value of the accounts receivable before the write off and after the write off Credit After Write Off

A questionnaire was given to students The first question asked was How stressed have you been in the last week on a scale of 0 to 10 with 0 being not stressed at all and 10 being as stressed as possible The responses are shown in the a Which stress rating describes the greatest number of students out of 10 Type a whole number b How many students responded with this rating students Type a whole number W CLE possible Stress Rating 0 1 2 3 4 5 6 7 8 9 10 Sub Frequency 6 5 1 12 13 10 16 23 34 20 10

OOO O possible The government of a large city needs to determine whether the city s residents will support the building of a new Middle School The government decides to conduct a survey of a sample of the city s residents Which one of the following procedures would be the most appropriate for obtaining a sample of the city s residents Exce O Survey a random sample of adults who currently have children in public schools Survey every tenth person to use the public restroom 4 Survey the last 100 residents listed in the telephone directory O Survey a random sample of persons within each geographical region of the city Submit quiz

1 point How many 15 bit strings that is bit strings of length 15 are there which a Start with the sub string 011 4096 b Have weight 8 i e contain exactly 8 1 s and start with the sub string 011 924 c Either start with 011 or end with 01 or both 11264 d Have weight 8 and either start with 011 or end with 01 or both

cipe n a five day workweek a tricycle manufacturing facility is scheduled to make 340 tricycles How many wheels should be in the plant on Monday morning to make these tricycles ANALYZE List the knowns and unknown Knowns number of tricycles 640 FSW 3GP2 F S 3W G 2P FSW3GP2 CALCULATE Solve for the unknown Write the two possible conversion factors relating wheels W to tricycles FSW3GP2 Unknowns Number of wheels W Identify the conversion factor that gives the desired unit W Multiply the number of tricycles by the conversion factor 3 W 1 FSW3GP 3 W 1 FSW 3GP and 1 FSW3GP 3 W 3 W 640 FSW3GP2X1 FSW GP2 EVALUATE Does the result make sense If three wheels are required for each tricycle and more than 600 tricycles are being made then a number of wheels in excess of 1 800 is a logical answer The unit of the known FSW3GP cancels and the answer has the correct unit W 4 SEP Apply Mathematical Concepts The tricycle manufacturing facility has decided to make 288 tricycles each day How many tricycle seats wheels and pedals are needed for each day 1920

Deductible Office Visit cost Monthly Premium Individual Plan 1 Plan 2 How much money 1 000 00 3 000 00 can you expect to 30 00 0 00 owe for an emergency room 70 00 35 00 visit under Plan 2 Individual Family 1 100 00 1 200 00 A 1 000 00 B 3 000 00 C 35 00

An anagram of a word is just a rearrangement of its letters How many different anagrams of are there consumptively

1 point Find the value of each of the following quantities C 12 9 C 5 3 C 5 3

We want to build 5 letter words using only the first n 10 letters of the alphabet For example if n 5 we can use the first 5 letters a b c d e Recall words are just strings of letters not necessarily actual English words a How many of these words are there total b How many of these words contain no repeated letters c How many of these words start with the sub word ade d How many of these words either start with ade or end with be or both e How many of the words containing no repeats

Plot the point that has the given polar coordinates 1 0 7 2 2 0 0 R 2 x 2 0

1 point Five people applied for jobs at a store Only two of these people will be hired The number of different pairs of people who could be hire is

Vymbylte formaling help DETAILS Find the rectangular equation of the parametric curve x 7e y 1 e t 20

Tiffany is a member of the chess club She won 75 of her first 32 games this year How many games in a row does she need to win to have a winning percent of exactly 80 Enter your response here

A definition for a function f is shown f x x 3 5 x 3 x 2 Which choice describes x 3 for this function A B O a zero of f a vertical asymptote of f the location of a relative minimum of f antinuity of f

Lauren modeled the relationship between the number of days I that had passed since she planted a cactus and its height H in centimeters as H 10 27 She wanted to create a graph to show the cactus s growth in the first month Here is her work 154 5 5 15 Days since planting 20 Choose all mawers that apply 25 What mistakes did Lauren make when drawing the graph Inappropriate scale for z axis Inappropriate scale for y axis Wrong missing label for z axis Wrong missing label for y axis Lauren didn t make any mistake 7

What is the diameter of the circle defined by x2 6x y 4y 23 0 Enter your Forne

5 OA The line falls from left to right OB The line is horizontal OC The line rises from left to right Find the slope of the line passing through the points given below or state that the slope is undefined Then indicate whether th line through the points rises falls is horizontal or is vertical 3 4 and 4 9 19 This question 1 point s possible A The slope is OB The slope is undefined Indicate whether the line through the points rises falls is horizontal or is vertical Choose the correct answer below Resume la Submit qu hp 4 Next Nex

A function is shown f x x 2 x 3x 10 At what positive x value does the function have a discontinuity Enter your response here

Which expression is equivalent to A B D 10x 15x 51 x 3 3x 5 10x 11x 9 x 3 3x 5 10x 51 x 3 3x 5 10x 11 x 3 3x 5 2x 7 3x 5 4x 6 x 3

How many 14 bit strings that is bit strings of length 14 are there which a Start with the sub string 011 b Have weight 7 i e contain exactly 7 1 s and start with the sub string 011 c Either start with 011 or end with 01 or both d Have weight 7 and either start with 011 or end with 01 or both

A bus travels 8 4 miles east and then 14 7 miles north What is the angle of the bus resultant vector Hint Draw a vector diagram Round your answe to the nearest tenth Enter

A boat takes 30 minutes to travel 10 miles upstream The river is flowing at a constant rate of 3 mph What is the speed of the boat in still water A B 23 mph 17 mph C 6 mph D 3 mph

B INTRO TO BIOLOGY Steps in the scientific method List the 7 characteristics all living things 5 4 List the four unifying themes in biology Hypothesis vs Theory 6 Experiment Control Group 7 Independent Variable Dependent Variable

Which scenario could be modeled by the graph of the function f x 100 1 002 A An ant colony that has an initial population of 100 increases by 0 2 per year B An ant colony that has an initial population of 100 increases at a constant rate of 0 2 per year C An ant colony that has an initial population of 100 decreases by 0 2 per year D An ant colony that has an initial population of 100 decreases at a constant rate of 0 2 per year

The equation of a circle is x y2 4x 6y 5 0 What is the value of the y coordinate of the circle s center Enter your response here

What coordinate pair is the center of the circle represented by x 3 y 4 9 A 4 3 B 3 4 3 4 4 3

What is the solution to the equation shown x2 5x 14 X 2 21

What is the value of x in this equation A B 2x 4 2 4 3 X 2

transcript Monica has a yearly salary of 33 800 Her employer withholds 4407 in state and federal taxes and 3288 in FICA taxes throughout the year She has the following monthly costs transportation is 110 cell phone bill is 50 student loans require 210 in repayment and rent is 425 She is using the average monthly costs for each of the following in order to gain an idea of other monthly expenses utilities are 220 internet is 70 health insurance is 293 and groceries are 270 What is Monica s monthly net pay amount Round your answer to the nearest cent if necessary Answer Keypad Keyboard Shortcu

Find an equation for the conic whose graph is shown 5 7 4 8 3 2 1 y 1 X

3 Write the trigonometric expression in terms of sine and cosine and then simplify cos 0 1 tan e DETAILS Simplify the trigonometric expression cot x csc x

2 DETAILS Convert the equation to polar form Use variables r and 6 as needed y 25 43 DETAILS Convert the polar equation to rectangular coordinates Use variables x and y as needed r 8

Plot the point that has the given polar coordinates 1 0 x 2 2 0 0 R 2 x 2 0 0

A pair of parametric equations is given y t 3 a Sketch the curve represented by the parametric equations x 3t 1 y 20 20 10 10 20r 10 10 20 20 10 10 201 10 10 x 20 X 20 20 20 10 10 y 20 10 10 20 20 10 10 20 10 10 b Find a rectangular coordinate equation for the curve by eliminating the parameter 20 X 20

Time Left 2 01 26 Neftali Moreno Miranda Attempt 1 160 130 10 120 120 110 A company produces mopeds and motorcycles It must produce at least 10 mopeds per month The company has the equipment to produce at most 60 mopeds It can also produce at most 120 motorcycles The productions of mopeds and motorcycles cannot exceed 70 100 90 80 60 50 40 30 20 10 motorcycles The profit on a moped is 134 and on a motorcycles is 200 Use the graph of the feasible region to determine the maximum profit the company can generate 40 120 10 0 60 0 10 20 30 40 50 60 60 100 mopeds 70 80

Unscramble the letters you received for each clue to make the code word Write the word below to receive full credit for the assignment

A computer valued at 6500 depreciates at the rate of 14 3 per year Given Information Initial Value Growth or Decay Unit of time f t 1 t

The population of a certain animal species decreases at a rate of 3 5 per year You have counted 80 of the animals in the habitat you are studying Write a function that models the change in the animal population Given Information Initial Value Growth or Decay Unit of time

Since January 1980 the population of the city of Brownville has grown according to the mathematical model y 720 500 1 022 where x is the number of years since January 1980 What is the percent of population increase

We usually write numbers in decimal form or base 10 meaning numbers are composed using 10 different digits 0 1 9 Sometimes though it is useful to write numbers hexadecimal or base 16 Now there are 16 distinct digits that can be used to form numbers 0 1 9 A B C D E F So for example a 3 digit hexadecimal number might be 2B8 a How many 3 digit hexadecimals are there in which the first digit is E or F b How many 4 digit hexadecimals start with a letter A F and end with a numeral 0 9 c How many 6 digit hexadecimals start with a letter A F or end with a numeral 0 9 or both

of China s exports of automobiles and parts in billions of dollars is approximately f x 1 8208e0 33872 where x 0 corresponds to 1998 In what year did will the exports reach 8 billion Give your answer as the year with at least one decimal place