Basic Math Questions and Answers

1 2 3 4 Find the area of the triangle below Be sure to include the correct unit in your answer 12 yd yd h 5 5 yd 6 B 7 8 9 10 yd yd X

13 2 935 x 100 Example 4 x 1 000 4 4 1 000 14 92 x 1 000 92 92 1 000 4 000 Thousands Hundreds 4 0 Ten Thousands Tens Ones When multiplying by 1 000 each digit in the number moves 3 places to the left 0 When multiplying by 1 000 each digit in the number moves 3 places to the left 0 Thousands Hundreds Tens Ones

Use the data for the United States in this table to answer the following questions Year 2016 2017 2018 2019 2020 Real GDP Per Capita 2012 prices 57 293 58 208 59 607 60 698 58 452 Real time data provided by Federal Reserve Economic Data FRED Federal Reserve Bank of Saint Louis The percentage change in real GDP per capita between 2016 and 2020 was Enter your response rounded to two decimal places and include a minus s if necessary

Compute the hours worked for each day on the time card Round each half of the day to the nearest quarter hour What are the total hours for the week What is the total pay for the week Complete the table TEMPORARY EMPLOYEE TIME CARD NAME Amanda Tacket DEPT Accounting Note No overtime rate DATE 9 13 9 14 9 15 9 16 9 17 IN 7 00 8 10 8 10 8 20 7 05 OUT 11 00 11 35 12 00 11 50 11 09 IN 11 30 12 30 12 40 12 50 11 50 OUT 4 45 4 35 4 10 4 50 3 30 Select Select Select Select Select HOURS

At an altitude of 6000 m the standard temperature is 249 2 K and the standard pressure is 47 217 Pa What is the standard density at this altitude 3 fill in blank kg m

You are a computer technician for Data Control You earn a regular hourly rate of work on Saturdays and double time on Sundays This week you worked 38 hours from Monday through Friday 8 hours on Saturday and 5 hours on Sunday What is your total pay for the week Select Question 10 1 pts Jane Able is paid 14 85 an hour for a regular 40 hour work week Her overtime pay for any hours over 40 per week is 1 times her regular hourly rate This past week Jane earned 727 65 in total pay How many hours of overtime did she work this past week Select

Georgia Lybrand installs fencing She is paid 9 50 per hour for an 8 hour day and time and a half for overtime for any work over 8 hours per day What is her pay for a week when she worked 7 12 9 10 and 10 hours Select 498 75 497 75 498 86 Question 7 1 pts

Script Tea with the circle s area given circle Radius Use the built in mathematical constant pi Area of a circle 1 circleRadius 5 2 circlearea pi circleRadius 2 3 Modify to use built in math constant pi 4 circleArea 0 Save C Reset MATLAB

Let x 1 and y x a Mark all a for which a computer will conclude that x is equal to y if double precision numbers are used check all that apply a 1 0e 5 a 1 0e 10 a 1 0e 18 a 1 0e 52 none of the above

Splitting up curves The unit circle x y 1 consists of fou one to one functions f x f x f3 x and f4 x see figure a Find the domain and a formula for each function b Find the inverse of each function and write it as y f x y f x 1 y f x YA 1 y f x y f x X

Interest Rates and ATM Trips Carlos who lives in a country where interest rates are very high goes to an ATM every day to get 10 of spending money Art who lives in a country with relatively low interest rates goes to the ATM once a month to get 300 spending money Why does Carlos use the ATM more frequently Assume they both have interest bearing checking accounts O A Art s opportunity cost of holding cash is higher B Carlos opportunity cost of holding cash is higher C Carlos doesn t like to carry a lot of cash D High interest rates imply low banking fees

9 4 NOS Paradigm shift more than 85 of the world s 250 000 species of flowering plant depend on pollinators for reproduction This knowledge has led to protecting entire ecosystems rather than individual species Contrast traditional conservation efforts with newer strategies of conservation

Consider a nation that produces wheat and steel The following table shows the possible combinations of the two products Wheat tons Steel tons 0 30 2 4 6 24 OA increase the output of both wheat and steel B only increase the output of steel O C have no effect on the output of wheat and steel O D only increase the output of wheat 18 10 0 The opportunity cost of the first 2 tons of wheat is 4 tons of steel enter your response as an integer and the opportunity cost of the last 2 tons of wheat is tons of steel enter your response as an integer Suppose the technology for producing wheat improves meaning that fewer resources are needed to produce each ton of wheat In contrast the technology for producing steel does not change The technological improvement in production of wheat will

Part 1 which appeared in the February 2012 issue introduced the concept of confidence intervals CIs for mean values This article explains how to compare the Cls of two mean scores to draw a conclusion about whether or not they are statistically different Two mean scores are said to be statistically different if their respective Cls do not overlap Overlap of the Cls suggests that the scores may represent the same true population value in other words the true difference in the mean scores may be equivalent NurseONE resources ON THIS TOPIC EBSCO MEDLINE FULL TEXT ARTICLES Hildebrandt M Vervolgyi E Bender R 2009 Calculation of NNTs in RCTS with time to event outcomes A Iterature review BMC Medical Research Methodology 9 21 Hildebrandt M Bender R Gehrmann U Biettner M 2006 Calculating confidence intervals for impact numbers 8MC Medical Research Methodology 6 32 Altman D G 1998 Confidence intervals for the number needed to treat BM Cnical Research Ed 317 7168 1309 1312 MiLIBRARY Campbell M I Machin D Watters S 2010 Medical statistics A textbook for the health sciences 4th edi Mates M Kischhoff K T Eds 2009 Research for advanced practice nurses From evidence to practice Webb C Ror 8 Eds 2007 Reviewing research evidence for nursing practice Systematic revies to zero Some researchers choose to provide the CI for the difference of two mean scores instead of providing a separate CI for each of the mean scores In that case the difference in the mean scores is said to be statistically significant if its Cl does not include zero e g if the lower limit is 10 and the upper limit is 30 If the Cl includes zero e g if the lower limit is 10 and the upper limit is 30 we conclude that the observed difference is not statistically significant To illustrate this point let s say that we want to compare the mean blood pressure BP of exercising and sedentary patients The mean BP is 120 mmHg 95 CI 110 130 mmHg for the exercising group and 140 mmHg 95 CI 120 160 mmHg for the non exercising group We notice that the mean BP values of the two groups differ by 20 mmHg and we want to determine whether this difference is statistically significant Notice that the range of values between 120 and 130 mmHg falls within the Cls for both groups i e the Cls overlap Thus we conclude that the 20 mmHg difference between the mean BP values is not statistically significant Now say that the mean BP is 120 mmHg 95 CI 110 130 mmHg for the exercising group and 140 mmHg 95 CI 136 144 mmHg for the sedentary group In this case the two Cla do not overlap none of the values within the first CI fall within the range of values of the second Cl Thus we conclude that the mean BP difference of 20 mmHg is statistically significant Remember we can use either the Cls of two mean scores or the Cl of their difference to draw conclusions about whether or not the observed difference between the scores is statistically significant

Below is the graph of y H Transform it to make it the graph of y x 4 2 VIU 5

a The graph of y f x is shown Draw the graph of y f x G b The graph of y g x is shown Draw the graph of y g x

s the end of the semester and you have completed all but 3 Keeping Score exercises for a total of 180 points You ave not taken advantage of the extra credit opportunities assume that there were 200 points of extra credit available our performance on the three midterm exams has earned you a total of 1 200 points you basically earned a low B on ach midterm You did not complete the syllabus exam for zero points and did not participate in SONA Nor did you complete the on line practice exams from the text opting instead to buy a used book for which no website access was available Thus you currently have a total of 1 380 points of the available 2 490 points You are wondering what your grade would have been had you completed the on line practice exams and earned all 480 points that were possible completed the SONA surveys 200 points and took advantage of all the available extra credit 200 points Now what vill be your percentage grade in the class Compute your answer to the nearest 1 10 percent Do not include the sign in your answer For example if your answer is 50 34 you would write 50 3 if your answer is 50 35 you would enter 50 4

What is the formula for the nth linear number Ln n 1 n 1 1 1 1 1 n 1

It s the end of the semester and you have completed all but 3 Keeping Score exercises for a total of 180 points You have not taken advantage of the extra credit opportunities assume that there were 200 points of extra credit available Your performance on the three midterm exams has earned you a total of 1 200 points you basically earned a low B on each midterm You completed the SONA requirement earning the full 200 points You did not complete the syllabus exam for zero points Nor did you complete the on line practice exams from the text opting instead to buy a used book for which no web site access was available Thus you currently have a total of 1 580 points of the available 2 490 points What will be your percentage grade in the class Round your answer to the nearest one percent Do not include the sign in your answer For example if your answer is 50 3 then you would enter 50

Tameka recently graduated with a bachelor degree in soil and plant sciences She received a job offer with an annual salary of 67 600 Calculate the amount of gross pay Tameka would earn in each paycheck for a monthly pay period

Assume there are 1 500 points possible in this class based just on the midterm exams The syllabus quiz is worth 50 points Online practice exams from the text website are worth 480 point SONA participation is worth 200 points The Keeping Score exercises are worth 260 points Thus there are 2 490 points possible in the course The Keeping Score exercises in total are worth wha percent of your total grade round your answer to the nearest 10th of a percent Do not include the percent symbol

You have just taken a midterm exam in this course There were 60 questions on the exam The exam is worth 500 points toward your overall grade in this class Each question therefore is worth points Round your answer to 2 decimal places

16 The role of chlorophyll in photosynthesis is to O A absorb light and produce oxygen OB absorb light and convert carbon dioxide to glucose OC absorb light and excite an electron OD absorb light and split water

19 Due to its low density Styrofoam isn t economically feasible to recycle and is becoming a widespread pollutant Styrofoam is polymerized from which starting molecule O A Styrene O B Ethylene O C Septane D Acetylene

18 The internal combustion engine takes advantage of the ability of the combustion reaction of gasoline to do O A enthalpy B entropy C free energy D work and move a piston up and down

13 The 4 4 9 system is used to estimate the number of OA bonds OB nutritional Calories OC kilojoules OD joules in food

14 Competitive inhibition occurs when a OA molecule binds to an enzyme but doesn t change the shape of the active site OB molecule binds to an enzyme in the active site and prevents the substrate from binding O C molecule binds to an enzyme at a site other than the active site and inhibits the substrate from binding O D substrate binds to an enzyme in the active site and activates the enzyme

5 An atom that emits energy because of nuclear decay is considered OA radioactive OB a cation O C energetic OD an anion

7 Bomb calorimetry is a poor choice to determine the number of nutritional Calories in food it consistently overestimates the Caloric content because O A proteins don t burn O B water has Calories and isn t burnable O C dietary fiber isn t used by the body O D carbohydrates don t burn to completion

12 Synthetic polymers are another name for O A nylon O B plastics OC ethers OD esters

11 The half life of a radioactive nucleus is the time it takes for OA 100 units OB half OC one fourth O D 50 disintegrations of the nuclei in a sample to decay

8 Amino acids that must be obtained through the diet are called OA non essential amino acids OB peptides OC cholesterol OD essential amino acids

9 Which of the following is the correct representation of an alpha particle O A P O B B O C He OD n

6 Low density polyethylene used to make plastic films is made by the radical polymerization of ethene and is one of the hardest plastics to recycle It gets its name O A from the process by which it s polymerized O B from the spaces left between chains when the polymer is formed C because it s strong but flexible D because of the way the chains pack like spaghetti close and tight

2 The trees of the Amazon Rainforest are considered the lungs of the earth because they consume O A water oxygen O B oxygen carbon dioxide O C carbon dioxide water O D carbon dioxide oxygen and produce

Esters are most likely to be encountered in what department in a large department store OA Shoe department O B Women s clothing department OC Men s clothing department OD Perfume department

12 Chromium III or Chromium VI are frequently used to apply chrome finish to sink fixtures such as faucets If 45 2 Amps flows through a solution of chromium III for 2 hours how many grams of chromium can be deposited on a fixture O A 58 45 g O B 175 35 g O C 0 016 g O D 0 974 g

16 What s the concentration of hydronium ions if a water base solution has a temperature of 25 C Kw 1 0x10 14 with a concentration of hydroxide ions of 2 21x10 M OA 2 8x10 8 M OB 4 52 x10 M O C 1 6x10 M O D 3 1x10 6 M

20 Which of the following is an endothermic process OA Isolation of elemental iron from iron ore OB The corrosion layer that formed on the Statue of Liberty C Combustion of coal D An iron lock rusting

9 To refine aluminum from its ore aluminum oxide is electrolyzed to form aluminum and oxygen At which electrode does oxygen form A Both the anode and the cathode OB Anode OC Neither electrode O D Cathode

10 What pH might you expect from a weak acid and a strong base of equal concentrations A 3 2 OB 13 5 OC 7 0 OD 10 4

6 The solubility of oxygen in water OA is responsible for thermoclines OB is greater in cool liquid water than in warm liquid water OC allows for a greater concentration of O in water than in air D isn t significantly dependent on temperature

3 During a titration 50 0 ml of 0 2M NaOH were required to neutralize 50 0ml of H PO4 What s the concentration of the H PO solution OA 0 07M OB 1 8M C 0 2M D 0 6M

13 The use of water in a heat exchanger is taking advantage of water s A polar molecular nature OB solid state when frozen OC significant expansion during boiling OD high specific heat

8 The part of a voltaic cell that allows ions to move between half cells so that charge doesn t build up is the A voltmeter OB anode OC salt bridge OD cathode

4 Antacids are OA strong bases OB weak bases C weak acids OD strong acids

2 If atoms from two different elements react to form a compound the element with a higher O A energy B electronegativity C atomic radius OD atomic number will have a negative oxidation number

Question 7 of 13 Calculate the average rate of change of the function f x 3x 6x on the interval a a h assuming h 0 Express numbers in exact form Use symbolic notation and fractions where needed Simplify your answer completely average rate of change

Question 8 of 13 Macmillan Learning Calculate the average rate of change of the function f x 4x on the interval a a h assuming h 0 Simplify your answer as much as possible Suggestion Recall that A B A 3A B 3AB B Express numbers in exact form Use symbolic notation and fractions where needed Simplify your answer completely average rate of change

K ces Exhibit 4 13 Work Breakdown Structure and Activities for the Cell Phone Design Project ACTIVITY IDENTIFICATION MAJOR SUBPROJECTS ACTIVITIES Product Specifications P Product design D Supplier specifications S Market research Overall product specifications Hardware Software Subcontracting V Product integration I Hardware Software Battery Display Camera Outer cover Hardware User interface Software coding Prototype testing Minimum number of weeks Suppliers selection Contract negotiation P1 P2 P3 P4 S1 S2 D1 D2 D3 D4 I1 12 13 14 V1 V2 a Determine the minimum number of weeks for completing the project DEPENDENCY 1 P1 P2 P3 P4 P4 S1 S1 S1 D1 D2 D3 D4 D2 12 11 13 S1 S2 14 V1 DURATION WEEKS 3 5 5 5 5 7 3 5 W5 SSSN S 2 5 5 5 10