Math - Others Questions

17 Which of the following ranks bonds from lowest energy to highest energy O A Triple bond between carbons single bond between carbons double bond between carbons OB Single bond between carbons triple bond between carbons double bond between carbons OC Single bond between carbons double bond between carbons triple bond between carbons OD Double bond between carbons single bond between carbons triple bond between carbons

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

20 Carbon fixation takes place during O A the Calvin Cycle OB absorption of light by chlorophyll O C photosystem II O D photosystem I

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

15 Nuclear explosions require a specific amount of mass to trigger and self sustain a nuclear chain reaction That mass is called the OA neutron mass OB critical mass O C mass defect D neutrino

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

H N CHC OH CH HN 10 Tryptophan is an essential A amide B amino acid OC carboxylic acid D amine 3 that can be found in the genetic code of humans

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

4 Adenosine triphosphate is the energy source for work in the cell It provides energy to the cell and OA activates compounds for some reactions by transferring a phosphate group OB activates enzymes by transferring phosphate groups to change the shape of the enzyme O C deactivates compounds for some reactions by transferring a phosphate group OD transfers its adenosine group to DNA

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

1 Latex DNA and cellulose are all examples of O A natural monomers OB natural polymers OC monomers OD synthetic polymers

3 owing ro given fur a State the domain of the function b Find f x h and fully simplify your result fully expand the expression c Find the difference quotient of f and fully simplify your result meaning simplify and eliminate h I a f x 3x 2 b f x r 4 1 2x 1 J x c f x

c Using the answer to part b which of the following is an implication that is logically equivalent to 2 3 5 or 4 6 10 OA If 4 6 10 then 2 3 5 OC 2 3 5 and 4 6 10 OE If 4 6 10 then 2 3 5 OG If 4 6 10 then 2 3 5 OL If2 3 5 then 4 6 10 OK 2 3 5 and 4 6 10 OB If 2 3 5 then 4 6 10 OD If 4 6 10 then 2 3 5 OF If 2 3 5 then 4 6 10 OH If2 3 5 then 4 6 10 OJ 2 3 5 or 4 6 10 OL 2 3 5 and 4 6 10

Problem 4 Epidemiologists in a particular town estimate that t days after the flu begins to spread in the town the percent of the population infected by the flu is approximated by p t t t for 0 t 5 a Evaluate p 1 and interpret what it means Also be sure to include the units b Find the difference quotient p t h p t h and fully simplify your answer

Problem 5 3 Algo Hoosier Manufacturing operates a production shop that is designed to have the lowest unit production cost at an output rate of 115 units per hour In the month of July the company operated the production line for a total of 205 hours and produced 21 400 units of output What was its capacity utilization rate for the month Round your answer to 1 decimal place Capacity utilization rate

Problem 5 8 Algo Expando Inc is considering the possibility of building an additional factory that would produce a new addition to its product line The company is currently considering two options The first is a small facility that it could build at a cost of 7 million If demand for new products is low the company expects to receive 9 million in discounted revenues present value of future revenues with the small facility On the other hand if demand is high it expects 14 million in discounted revenues using the small facility The second option is to build a large factory at a cost of 8 million Were demand to be low the company would expect 9 million in discounted revenues with the large plant If demand is high the company estimates that the discounted revenues would be 15 million In either case the probability of demand being high is 0 30 and the probability of it being low is 0 70 Not constructing a new factory would result in no additional revenue being generated because the current factories cannot produce these new products a Calculate the NPV for the following Leave no cells blank be certain to enter 0 wherever required Enter your answers in millions rounded to 1 decimal place Plans Small facility Do nothing Large facility NPV million million million b The best decision to help Expando is O to do nothing O to build the large facility O to build the small facility

Problem 5 2 A company has a factory that is designed so that it is most efficient average unit cost is minimized when producing 28 500 um output each month However it has an absolute maximum output capability of 35 000 units per month and can produce as litt 7 000 units per month without corporate headquarters shifting production to another plant If the factory produces 18 900 unit October what is the capacity utilization rate in October for this factory Round your answer to 1 decimal place E Capacity utilization rate

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

Calculate the condition number of the matrix A using the infinity norm The condition number is fill in blank SUBMIT Problem Consider the following matrix A and it s inverse A 1 0 1 3 A 1 21 2 3 1 By hand calculate the condition number of A using the infinity norm max b 01 111 13 0 1 3 4 1 2 1 4 2 3 1 6 A 1 21 2 31 11 21 41 15 2 A 1 2 3 3 2 1 1 2 4 5 2 A 1 2 3 3 2 1 2 1 1 2 11A 6 Max 4 4 5 7 A 7 3 3 5

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

14 A simplified version of photosynthesis can be represented as carbon dioxide combining with water to form glucose and oxygen 6CO 6H O C H 0 60 In this reaction is oxidized O A carbon dioxide O B hydrogen C carbon O D oxygen

18 Which of the following substances will make an acid base reaction with NaOH OA KOH OB Metal hydride OC HCI OD NH3

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

19 Which of the following is the best description of an oxidation process OA Oxidation is the gain of electrons OB Oxidation is the loss of electrons OC Oxidation is the non spontaneous loss of electrons OD Oxidation is the spontaneous loss of electrons

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

15 Which of the following will conduct electricity OA Base solutions only OB Acid solutions and base solutions OC Acid solutions only OD Neither acid solutions nor base solutions

17 Which of the following substances can be used to neutralize HF OA HF OB SO OC HCI OD NaOH

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

7 During the electrolysis of an aqueous solution of sodium nitrate a gas forms at the anode what gas is it OA Hydrogen OB Sodium O C Oxygen OD Water

11 are substances that facilitate the movement of electrons or electrical charge OA Oxidizing agents OB Electrolytes OC Solvents OD Reducing agents

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

5 Current is described as OA electricity OB the flow of ions through a substance C moles of electrons OD the flow of electrons through a substance

Question 6 of 13 Calculate the average rate of change of the function f x 6mx b where m and b are constants on the interval a a h assuming h 0 Simplify your answer as much as possible Express numbers in exact form Use symbolic notation and fractions where needed Simplify your answer completely average rate of change

K Some questions make use of the Interactive Graphing Tool in order to draw a parabola using two points Click the icon to view instructions for the Interactive Graphing Tool Draw a solid vertical parabola overlaying the dashed parabola on the graph Use the vertical parabola tool button on the graphing palette to draw a solid vertical parabola Place the first point at the vertex of the parabola shown as the solid dot on the graph and place the second point at another location on the parabola shown as the dashed curve on the graph Click to enlarge graph Careful Be sure to use a second point that is exactly on the parabola causing the dashed curve to be completely covered D Ay 10 8 8

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