Basic Math Questions and Answers

16 The client has an order for colchicine 2 mg po q 1 h x 8 doses Colchicine 0 5 mg tablets are available How many tablets will you give for each dose

A client is to receive 6 mg morphine sulfate sc q3h prn for pain The label on the ampule reads morphine sulfate 8 mg mL How many milliliters will you give

The doctor ordered Mysoline oral suspension 200 mg po q 12 h for a client You have a bottle of Mysoline primidone oral suspension labeled 250 mg per 5 mL How many milliliters will you give

1 Felbatol 0 8 Gm po BID has been ordered for a client Felbatol felbamate 400 mg tablets are available How many tablets will you give

While coloring takes 2 ho she needs to make a minimum of 150 a day to pay for her expenses a Create a system of inequalities that describes the constraints in this situation Be sure to specify what each variable represents b Graph your inequalities and show the solution set 10 12 14 16 18 c Identify a point that represents a combination of haircuts and hair coloring jobs that meets the stylist s requirements d Identify a point that is a solution to your system of inequalities but is not possible or not likely in the situation Explain why this solution is impossible or unlikely

1 point Solve the recurrence relation an 8an 1 15an 2 with initial terms ao an 1 and ai

3 points Let an be a sequence defined by the formula a 2n 1 for all integers n 0 Determine whether this sequence satisfies the recursive relation According to the formula that defines the sequence an relation it must be the case that an 1 2 to be equal to this an 1 an 1 2 Is an 1 2 equal to an OA Yes OB No OC Not enough information given an an 1 2 Does the sequence satisfy the recursive relation OA Yes OB No In order for the sequence to satisfy the recursive

4 points For each of the recursively defined sequences given below write out the next four terms of the sequence Hint Take note of the index of the first term a ai 1 b bj j bj 1 with bo 3 3 5a 1 i with a 1 1 1 c Ck Ck 1 5ck 2 with co 1 and c 1 d dn ndn 1 dn 2 with di 1 and d 3

6 d II k 2 6 e II k 2 k k 1 k 2 k 3 k k 2 k 1 k 1

4 points Evaluate each of the following products 3 a k 3 k 1 3 b II k 1 4 c II k 0 6 d II k 2 6 e II k 2 k k 1 k k 1 k 2 k 3 k k 1 k 2 k 3 k k 2 k 1 k 1

Question O Select the graph of f x 5 Then give the horizontal asymptote the domain and the range 834 5 5 4 6 4 is 6 O 23 56 a Q 78 3 3 2 6 5 6 5 4 3 2 1 1 1 2 3 Horizontal asymptote y Domain using interval notation Range using interval notation Question Help VIDEO O Post to forum 9 6 A 6 65 PO 2 3 4 5 6 O a o

The Kardashi Questions 43 d s 6 3 Failed to ope Select the graph of the transformation of f x 6 Then give the horizontal asymptote the domain and the range f x 6 1 Horizontal asymptote y Domain using interval notation Range using interval notation o V New Apple iP o M 5 5 O Weedmaps Welcome to t o C

Score on last try 0 of 6 pts See Next question Get a similar question You can retry this question below nt Use the compound interest formula A t P 1 7 An account is opened with an intial deposit of 7 500 and earns 2 1 interest compounded semi annually Round all answers to the nearest dollar a What will the account be worth in 20 years 11 166 X b What if the interest were compounding monthly 11 221 X c What if the interest were compounded daily assume 365 days in a year 11 243 X Question Help VIDEO Post to forum Submit

1 yard 3 ft 12 in Convert 34 0 CM to Feet

Macmillan Learning In skateboarding and snowboarding competitions multiple turns are measured in degrees In 2018 Anna Gasser became the first female snowboarder to land a cab triple 1260 The number 1260 refers to a turn of 1260 How many rotations does this indicate Use decimal notation Give your answer to one decimal place a 1260 corresponds to rotations Sage Kotsenburg s slopestyle gold medal run in the 2014 Winter Olympics at Sochi included a 1620 How many rotations are indicated Use decimal notation Give your answer to one decimal place a 1620 corresponds to rotations

convert a temperature 40 0F to

1 point Give a 4 x 4 elementary matrix E which will carry out the row operation R 7R3 R 00 E 0000 Test that E actually works for carrying out this row operation by computing the product EA for the matrix 3 57 2 2 2 4 1 2 EA A Note In order to get credit for this problem all answers must be correct

In horse racing a trifecta is a race in which you must pick the first second and third place winners in their proper order to win a payoff If sixteen horses are racing and you randomly select thre as your bet in the trifecta what is the probability that you will win Assume that all horses have the same chance to win What is the probability that you will win

21 Solve the following equation for x O A x 6 O B x 0 6 OC x 6 O D x 6 6 x 12x 36 0 Reset Submit

1 point If A and B are invertible n x n matrices then the inverse of A B is A B

Assignment5 Problem 7 1 point Solve the system of equations 2x 4y z 12 x y z 4 x 2y 6 by converting to a matrix equation and using the inverse of the coefficient matrix x y

1 point Solve for the matrix X if AX B Assume that all matrices are n x n and invertible as needed X

4 points For each of the sequences given below write out the first four terms of the sequence Hint Take note of the index of the first ter a a 6 6i i 20 b by 77121 7 C Ck d dn 1 k 3 e en 3 2 3 20 T k 1 n20 220

That is find a formula for the nth term of the sequence In each case assume that the first term s index is 0 a 9 12 15 18 21 c an d b 1 4 7 10 13 formulas an formulas An 1 2 3 4 4 9 16 25 formulas An 1 4 9 9 9 9 3 9 27 e 0 formulas An 1 2 2 3 formulas 9 3 4 9 n 0 help n 0 help n 0 help n 0 help n 0 help

4 points Compute n div d and n mod d for each pair of n and d given below a n 26 d 10 26 div 10 26 mod 10 b n 68 d 9 68 div 9 68 mod 9 c n 3 d 10 3 div 10 3 mod 10 d n 36 d 6 36 div 6 36 mod 6

1 2 3 and 4 If T has a vertices of degree 2 b vertices of degree 3 and c vertices of degree 4 then how many leaves does it have Question 6 For n 3 how many Hamilton cycles are there in a complete graph on n vertices Keep in mind that we define cycles as sequences of vertices for example a b c a and b c a b are two different cycles Question 7 Take integers n ke N such that 2k n and define a graph Gn k as follows The vertices of Gn k are all the k element subsets of n Two vertices A B are adjacent in Gn k if and only if An B List all integers 1 k 5 such that G10 k is Eulerian Question 8 How many even graphs with vertex set n are there

Ms Malia bought a laptop with a 10 discount Sh also bought a mouse for 13 99 and spent a total 621 49 before taxes Write an equation to find th original cost of the laptop

Due Date 10 16 2023 1 Determine the dry unit weight of compaction in the field given the following results of a field unit weight determination test on a soil using the sand cone method Calibrated dry density of Ottawa sand 1667 kg m3 Calibrated mass of Ottawa sand to fill the cone 0 117 kg Mass of jar cone sand before use 5 99 kg Mass of jar cone sand after use 2 81 kg Mass of moist soil from hole 3 331 kg Moisture content of moist soil 11 6 NOTE Show all the calculation steps

A total of eight shows when we roll two fair dice a Find the probability of the given event b Find the odds against the given event 5 36 Simplify your answer Type an integer or a simplified fraction a The probability of the given event is b The reduced odds against the given event are to Simplify your answers

22 m 14 m

1 24 9 2 6 3 2 35 17 2 5 3 4 9 3 8 2 4 26 25 11 2 Part IV Evaluating Expressions 1 n 13 n 5 for n 8

asic asic 5 16 A study is designed to test the hypotheses Ho 26 versus Ha 26 A random sample of 50 units was selected from a specified population and the measurements were summarized to y 25 9 and s 7 6 a With a 05 is there substantial evidence that the population mean is less than 26 b Calculate the probability of making a Type II error if the actual value of the population mean is at most 24 c If the sample size is doubled to 100 what is the probability of making a Type II error if the actual value of the population mean is at most 24 5 17 Refer to Exercise 5 16 Graph the power curve for rejecting Ho 26 for the following values of 20 21 22 23 24 25 and 26 a Describe the change in the power as the value of decreases from 40 26 b Suppose the value of n remains at 50 but a is decreased to a 01 Without recalculating the values of the power superimpose on the graph for a 05 and n 50 the power curve for a 01 and n 50 c Suppose the value of n is decreased to 35 but a is kept at a 05 Without recal culating the values of the power superimpose on the graph for a 05 and n 50 the power curve for a 05 and n 35

Use the simplex method and the Duality Principle to solve the following minimum problem Minimize Subject to the constraints 1 3x2 10 2x1 2x2 28 x1 0 x 0 and using your final tableau answer the questions below by entering the correct answer in each blank box Please enter fractions as 3 5 4 7 and so on x1 x2 C 3x1 4x2 II

5 4 3 2 42 33296 30291 7 9 19 1 9 meters Saplings are considered tall if they are over 4 5 meters tall medium if they are from 3 0 to 4 4 meters tall and short if they are under 3 0 meters tall Draw and appropriately label a bar graph for this categorical data Hint That phrase is defined in the reading Also remember that bar graphs are a type of frequency graph

The hypothetical table below shows the relationship between the number of hours students work at part time jobs each week and the number of years it takes then to graduate with an undergraduate degree If a student works more than 5 hours per week what is the probability that the student graduates in over 6 years 5 6 Years Amount of Hours Worked per Week 0 5 6 20 Over 20 Totals 4 Years 199 148 69 416 58 84 110 252 Over 6 Years 23 39 41 103 The probability is Type an integer or decimal rounded to three decimal places as needed Totals 280 271 220 771

What is the probability of getting either a club or a jack when drawing a single card from a deck of 52 cards The probability that the card is either a club or a jack is Simplify your answer Type a fraction www

A sushi restaurant has prepared 32 portions of seafood two of which had been left out too long and spoiled If 14 of the 32 portions are served randomly to customers what is the probability that a least one customer will receive spoiled food Hint Consider the complement of this event The probability that at least one customer will receive spoiled food is Type a decimal rounded to three decimal places as needed

The windshield wipers on a car have not been working properly The probability that the car needs a new motor is 0 6 the probability that the car needs a new switch is 0 45 and the probability that the car needs both is 0 2 What is the probability that the car needs neither a new motor nor a new switch The probability that the car requires needs neither a new motor nor a new switch is Type an integer or a decimal

In cross breeding certain plants a scientist found that flower color does not dominate as happens with peas For example a plant with one red gene r and one white gene w will have pink flowers rw a Construct a Punnett square showing the results of crossing a purebred red plant with a purebred white plant of the same species b What is the probability of getting red flowers in the first generation plants What is the probability of getting white Of getting pink a Choose the correct answer below A Parent 1 B Parent 1 O C Parent 1 r W r r r r Parent 2 W rw WW Parent 2 W rw rw W rW WW W TW rw W rW rw Parent 2 r rr rr b In the first generation plants the probability of getting red flowers is the p of getting white flowers is and the probability of getting pink flowers is

Out each to of 1000 families 3 childern you expect would how Many have 1 2 boys 1 girl 11 2 girls I boy

The displayed table relates the amount of time consumers spend shopping on the Internet per month with their annual income What is the probability that a randomly selected consumer neither spends more than 2 hours per month shopping on the Internet nor has an annual income of 60 000 or less The probability that a consumer neither spends more than 2 hours per month shopping on the Internet nor has an annual income of 60 000 or less is Round to two decimal places as needed Annual Income Above 60 000 10 3 9 0 2 Hours Hours Hours 182 166 117 204 150 182 279 552 546 40 000 60 000 171 Below 40 000 117 Totals 470 E Totals 465 525 578 1 568

Consider the complement of the event before computing its probability If two 20 sided dice are rolled find the probability that neither die shows a seven Hint There are 400 possible results from rolling two 20 sided dice The probability is Simplify your answer

If P E 0 33 then what are the odds against E The odds against E are Simplify your answers to

Consider the price demand equation given by 6 000 x 1 200 Which of the following give values of p for which the elasticity of demand is inelastic p Select the correct answer below 0 0 p 2 5 Op 2 5 Op 5 Op 5 SH

Assume that A and B are events If P AUB 0 6 P A 0 3 and P B 0 45 find P ANB P ANB Simplify your answer Type an integer or a decimal

If nine coins are flipped what is the probability of obtaining at least one head P obtaining at least one head Type an integer or a simplified fraction

6 In Seattle they get on ourage of 1 inche d OF rain for day flow many feet of rain would they get in a year s Crounded to nearest whole number if needed H

Suppose that player 1 and player 2 are playing a game using spinner A and spinner B as shown to the right Player 1 can pick either spinner A or B and player 2 uses the other spinner Both players spin their spinner and whoever spins the higher number wins the game If a spinner lands on a boundary that spinner is spun again Which spinner should player 1 choose and what is the probability that player 1 will win OA OB Spinner A should be chosen with a probability of Type an integer or a simplified fraction 2 Select the correct choice below and fill in the answer box to complete your choice Spinner B should be chosen with a probability of Type an integer or a simplified fraction 9 Spinner A 6 8 Spinner B

5 Let 0 and t 0 and let ao 1 a2 n be sequence that satisfies and a S 1 8 a t for each i20 We will prove an inequality that is important for deriving the global error in Euler s method a Show that implies 1 1 8 a 1 t 1 1 8 b Show that and part a imply 0 1 1 s a 2 t 1 1 s 1 s c Use an inductive argument to show that a 1 1 s t 1 1 s 1 s 1 s d The term in brackets 1 1 s 1 s is a geometric series Use this fact to rewrite the inequality from c as t 9 1 1 8 00 e Finally use your answer from 04 to conclude

The residents of a small town and the surrounding area are divided over the proposed construction of a sprint car racetrack in the town as shown in the table on the right If a newspaper reporter randomly selects a person to interview from these people a what is the probability that the person supports the racetrack b what are the odds in favor of the person supporting the racetrack a The probability is Type an integer or a simplified fraction Live in Town Live in Surrounding Area Support Oppo Racetrack Racet 1 235 1 771 426 576