Linear Algebra Questions and Answers

The Concentration C in mg cc of a particular drug in a person s blood Stream is related to the time t in hours after injection in such a way that ast change from 0 to 12 C changes from 3 to 0 1 frnd the average rate of change of C with respect to t The average rate of Change of c with respect is

What is the simplified value of the expression below 10 oi 0 1 D i 01

The word is stands for what mathematical operation O Equals O Multiplication Subtraction O Addition O Division

Solve the following equation x 6 3x 4 Undefined 2 5 O 1 Report an Error question 2 of 5

Choose an answer and hit next You will receive your score and answers at the end In math i equals 0 1 1 F 0 1 O O

Factor 4x2 20x 25 O O O 2x 5 2x 5 2x 5 2x 5

Use the figure to the right to find the value of PT T is the midpoint of PQ PT 7x 9 and TQ 9x 7 PT 65 Simplify your answer

Which number from 1 to 2000 inclusive requires the most Roman numerals to write Write out the number in Romar numerals Which number from 1 to 2000 inclusive requires the most Roman numerals to write Type a whole number A

Let be an angle in quadrant I such that cos 0 Find the exact values of csc0 and cot0 csc0 0 cote 3 X 100 8 0 6 S

How do we have to restrict the domain of y x 2 to create the inverse function of y sqrt x O All real numbers less than or equal to zero O All real numbers between 2 and 2 Next Report an Error question 3 of 5 O All real numbers greater than or equal to zero None of these are correct

The point 5 25 is on the graph of the function y x2 with restricted domain of all real numbers greater than or equal to zero Based on this what point must be on the graph of the function y sqrt x O 25 25 O 5 25 25 5 None of these are correct Report an Error question 1 of 5 How Next Solv Solv Solv chi

Solve for y in terms of x 12x 4y 17 3 y

Graph the following equation by hand by plotting points Verify your results using a graphing utility 4x 3y 12 Use the graphing tool to graph the equation Click to

Suppose that Teavana produces boxes of Jade Citrus Mint Tea and Spiced Apple Cider Below are the possible combinations of Jade Citrus Mint Tea and Spiced Apple Cider that Teavana can produce Use the data below to follow steps a d Once you have created your curve upload a picture Make sure all elements are labeled x axis y axis points a Using one of the graphing tools described in the directions plot the Production Possibilities Curve for Teavana b Find the combination of Jade Citrus Mint Tea and Spiced Apple Cider of 47 Jade Citrus Mint Tea and 35 Spiced Apple Cider Label this point F What term best describes this point c Find the combination of Jade Citrus Mint Tea and Spiced Apple Cider of 16 Jade Citrus Mint Tea and 20 Spiced Apple Cider Label this point G What term best describes this point d Draw a new curve on the same graph reflecting what the PPC might look like if new production technology is invented to speed up production in just the Jade Citrus Mint Tea industry Combination A B Attach File CDE Jade Citrus Mint Spiced Apple Cider Tea X axis Y axis 0 50 16 45 30 35 40 47 20 0

A new car costs approximately 30 000 today Assuming an average inflation rate of 2 8 per year compounded annually how much would a new car have cost 20 years ago OA 17 202 96 B 17 268 67 OC 17 169 74 D 52 117 50

Josie borrows 2000 and repays a final amount of 2186 17 in 2 years What annuall rate of interest compounded semi annually is she being offered on this loan OA 4 5 OB 3 OC 3 5 OD 4

Suppose that a friend missed class and never learned what 251 2 1 1 Use exponent rules your friend would already know to calculate 25 25 2019 Illustrative Mathematics All Rights Reserved Type your answer below as a number example 5 3 1 4 1 2 or 3 2 means

David Perez Quadratic Equation to Standard Form L1 Jan 15 5 01 43 PM Watch help video Write the quadratic equation in standard form 3x x 22 5

David Perez Factor Trinomials a 1 Level 1 Jan 15 1 04 40 PM Watch help video Factor the trinomial 2x 11x 15

David Perez Difference of Perfect Squares Level 1 Jan 15 12 49 08 PM Watch help video Factor completely

The 20th term in the sequence defined by t ARNE a 44 b 40 c 36 d 30 n 2n 2n 30 is

The eighth term in the sequence 512 256 128 64 is a 2 b 1 c 4 d d 1 1 2 72

All of the students were present for Friday s lecture however only a handful had done their homework What is the transition word in the sentence above O however O all O handful only

One of the most important skills you will master as a college student is critical thinking Which of the following actions will help you develop or improve your critical thinking abilities Choose all that apply Consider alternative answers to a problem you are trying to solve Seek out alternative views Ask friends or colleagues for their opinions about an issue Admit that you don t know something and be willing to listen to and consider new perspectives Memorize as many facts as you can about a new topic

What is the position of F on the number line below Write your answer as a fraction or mixed number 0 1 F

Dante is playing a game in which he spins a spinner with 6 equal sized slices numbered 1 through 6 The spinner stops on a numbered slice at random This game is this Dante spins the spinner once He wins 1 if the spinner stops on the number 1 3 if the spinner stops on the number 2 5 if the spinner stops on the number 3 and 7 if the spinner stops on the number 4 He loses 8 if the spinner stops on 5 or 6 a Find the expected value of playing the game dollars b What can Dante expect in the long run after playing the game many times Dante can expect to gain money He can expect to win dollars per spin Dante can expect to lose money He can expect to lose dollars per spin Dante can expect to break even neither gain nor lose money 5

Given the following revenue and cost functions determine for what x values a loss will occur Recall that profit equals revenue minus cost R x 57x 2x C x 25x 101 A For 2 975 x 13 025 OB For 4 326 x 11 674 OC For x 2 975 orx 13 025 OD For x 4 326 or x 11 674

On the basis of data from the years 2000 through 2015 seasonally adjusted median weekly earnings y in year x for men and women in a given area can be approximated by the following equations where x 0 corresponds to the year 2000 and y is in current dollars If these equations remain valid in the future will earnings for women catch up with men within the next decade Women Men 796x 50y 24 800 87x 5y 3 220 Choose the correct answer below O A Yes The equations intersect at a positive x value which is after the year 2015 This indicates that the earnings for men and women will be the same in the next decade OB No The equations intersect at a negative x value which is before the year 2000 However since the equations are linear they cannot share another intersection point This indicates that the earnings for men and women will not be the same in the next decade OC Yes The equations indicate that the earnings for men and women are always the same OD No The equations indicate that the earnings for men and women never were and never will be the same

A box has four cards numbered 1 2 3 and 4 Amanda will toss a coin once and record the toss as heads H or tails T Then she will randomly pick a card from the box and record the number chosen Give the sample space describing all possible outcomes Then give all of the outcomes for the event that the coin toss is tails Use the format H1 to mean that the coin toss is heads and the number chosen is 1 If there is more than one element in the set separate them with commas Sample space Event that the coin toss is tails 0 0 X

On each trial of an experiment a participant is presented with a constant soft noise which is interrupted at some unpredictable time by a slightly louder sound The time it takes for the participant to react to the louder sound is recorded The following list contains the reaction times in milliseconds for 8 trials of this experiment 688 492 688 356 381 752 314 688 Send data to calculator a What is the median of this data set If your answer is not an integer round your answer to one decimal place b What is the mean of this data set If your answer is not an integer round your answer to one decimal place c How many modes does the data set have and what are their values Indicate the number of modes by clicking in the appropriate circle and then indicate the value s of the mode s if applicable 00 0 zero modes one mode two modes and

A dart hits the circular dartboard shown below at a random point Find the probability that the dart lands in the shaded circular region The radius of the dartboard is 16 in and the radius of the shaded region is 6 in Do not round any intermediate steps Round your answer to the nearest hundredth If necessary refer to the list of geometry formulas 16 in 6 in M X

A total of 429 tickets were sold for the school play They were either adult tickets or student tickets The number of student tickets sold was two times the number of adult tickets sold How many adult tickets were sold adult tickets X S

For the universal set U 5 6 7 8 9 complete the parts below Write your answers in roster form or as a Suppose B 5 8 9 Then what is B 0 B b Suppose we know that C 5 6 9 Then what would C have to be c 0

progress bar may be uneven because questions can be worth more or less including zero depending on your answer A 16 pound bag of Kitty Kibbles is 24 00 An 8 pound bag of Feline Flavor is 11 20 Which statement about the unit prices s true Feline Flavor has a higher unit price of 1 50 pound Kitty Kibbles has a higher unit price of 1 50 pound Kitty Kibbles has a higher unit price of 1 40 pound Feline Flavor has a higher unit price of 1 40 pound Question ID 117895

Solve for x 3x 15 x 5 0 1 x 5 9 x 5 1 8 7 6 5 4 x 5 2 3 4 O 1 2 3 6 4 7 8 9 1 6 7 10 0 8 11

Which factor do 9x 30x 25 and 9x 3x 25 9x 3x 5 3x 5 25 have in common

Write the following fraction in lowest terms 64 100 64 100 Type a whole number or a fraction

Write the fraction in lowest terms 25 15 25 Simplify your answer Type fraction an inte

Elisa needs money to repair her home air conditioner so she pawns her bicycle The pawnbroker loans Elisa 270 Eleven days later Elisa gets her bicycle back by paying the pawnbroker 284 85 What annual simple interest rate did the pawnbroker charge Elisa Assume 360 days in a year The pawnbroker charged Elisa a simple interest rate of Round to the nearest whole number as needed www

Determine the simple interest Assume 360 days in a year p 689 r 0 049 per day t 9 months The simple interest on 689 at 0 049 per day for 9 months is Round to the nearest cent

Write the percent as a decimal 0 28 0 28

What are the minimum and maximum values of the function y 2 sin x 30 23 O a maximum 4 minimum 0 Ob maximum 2 minimum 2 c maximum 4 minimum 2 d maximum 0 minimum 4

What is the effect on a cosine function when k changes from 1 to 23 a the period becomes half of the original value O b the graph moves down one unit Oc the amplitude doubles d the graph moves up one unit

The population P of fish in a lake can be modelled using the function P 800 sin 30 6 2000 where t is the number of months after August 1 What is th population on November 1 a 1200 fish b 2800 fish Oc 2400 fish d 800 fish

A fair eight sided die is tossed Determine the odds against rolling a number less than 2 The odds against rolling a number less than 2 are 1 7 Type whole numbers Simplify your answers

What is a consequence of stereotyping in the media OA It portrays minority groups in unrealistic ways or even excludes them B It paints certain products as must haves for all consumers C It allows the media to reach out to an entire target audience at once D It forces people to question the accuracy of media coverage

You are dealt one card from a standard 1 8 4 The probability of being dealt a diamond is Type an integer or a simplified fraction

3 5 N Choose the correct answer below 3 O A plus z 5 O B 3 5 divided by z OC the difference between O D the product of 3 5 and z 3 5 and z

Complete the square to form a true equation x 2x x 2 x 2x x X Simplify your answer Type an integer or a fraction

wo systems of equations are given below For each system choose the best description of its solution f applicable give the solution System A 4x 5y 7 4x 5y 8 System B y 6x y x The system has no solution The system has a unique solution x y D O The system has infinitely many solutions The system has no solution O The system has a unique solution x y D O The system has infinitely many solutions