Algebra Questions

Use polynomial long division to evaluate 21x 56x 28 3x 5 and write 21x 56x 28 in the form 21x2 56x 28 21x2 56x 28 divisor quotient remainder

Which functions are odd or even a f x sec x is b f x csc x 2 is c f x sec x csc x is d f x 5csc x is e f x 1 sec x is f f x sec 4x is

Which of the following functions has the same horizontal asymptote as the function graphed below 5 5 0 5 f x 4 2 3 f x 4x 3 2 Of x 4 3 2 f x 3x 2 1

3 A L B a Note Triangle may not be drawn to scale Given the triangle above find the following Give exact values No decimals allowed sin A cos A tan A sec A csc A cot A

The graph shows stopping distances for trucks at various speeds on wet roads Use this information to complete parts a and b below f x x x opping Distance feet Stopping Distances at Selected Speeds 700 620 600 500 445 400 305 300 185 200 85 100 0 25 35 45 59 55 a Use the statistical menu of your graphing utility and the quadratic regression program to obtain the quadratic function that models a truck s stopping distance f x in feet on wet pavement traveling at x miles per hour

the number of a certain type of bacteria y present in a culture is determined by the equation y 3000 2 where x is the number of days the culture has been growing Find the number of baclela fter 5 days After 5 days bacteria will be present

1 Find the derivative for each function below at x 1 Leave your answer in radical a f x 2x 1 x3 b y 3 3x 1

Use the sum to product identities to rewrite the following expression in terms containing only first powers of tangent Answer sin9x sin5x cos9x cos5x

1 6 pts Rewrite the rational function g x are constants x 7 X in the form g x c where c and r

A bag contains 36 red blocks 48 green blocks 22 yellow blocks and 19 purple blocks You pick one block from the bag at random Find the theoretical probability Write your answer as a fraction in simplest form in the form a b P green or yellow

uppose you deposit your graduation cash gifts into an account that pays 4 annual interest compounded continuously If you are 18 when you graduate get 1000 in cash gifts and leave the money in the account until you are 30 how much money will you have Round to the nearest dollar At age 30 I will have S

Solve the equation below 5x 11 1 x The solution is x

Indicate whether the following statement is true or false A customer prepaid a services fee to Link Co a year ago Upon the completion of its services Link Co would record nothing because the cash had been collected during the previous year True or False True False

4 Bolum Chapter n Ae N 151 251A 10 max n 1 3 2 A 3 B N 35 361 A 10 n A 34 B 5 A 8 n Ae N 381 391 A 10 max n A 8 C 6 B 9 B 35 C 36 E 38 35 36 35 Con 35 1 36 1 404 35 37 1 10 1 37 1 A ne N 481 49 A 10 max n B 12 C 10 D 9 C 14 D 37 D 11 E 10 D 16 E 12 E 20 1 METROPOL YAYINLARI METROPOL PUBLICATIO 5 401 1 6 7 8 A 10 A 10 999 9 n n tane fn times B 9 511 3999 97 n n tane n times A 0 B 11 C 8 A 501 A 2357 abcd a b c d A 14 B 16 C 18 B 1 D 7 C 12 D 13 11 2 3 28 XX C 2 D 20 D 3 E 6 E 14 E 22 E 7

4 Bolum Chapter n A EN 151 251A 10 1 3 2 A 3 B 5 n A N 351 361 A 10 En A 8 A 8 max n A 34 B 35 C 36 D 37 E 38 d 351 36 35 1 7 351 1 36 d 10 n Ae N 381391 A 10 max n B 9 C 6 A ne N 481 49 A 10 B 12 35 37 1 10 1 37 1 C 10 D 9 max n C 14 E 10 D 11 ENA D 16 E 12 E 20 0 METROPOL YAYINLARI METROPOL PUBLICATIO 5 401 1 6 A 10 8 A 10 7 A 501 999 9 n n tane fn times 511 3 999 97 n n tane n times A 14 B 9 A 2357 abcd A 0 B 11 a b c d C 8 B 16 C 18 B 1 D 7 C 12 D 13 11 2 3 28 x x C 2 D 20 D 3 E 6 E 14 E 2 E 7

10 Find all solutions of the equation z 8v2 1 i z2 z 1 0 Write the roots in exponential form and use principal values of their arguments

Solve 7sin Pi 6x 3 for the four smallest positive solutions

88 3a 4b

1 Point What is the maximum number of real zeros for the following polynomial p x 2x5 4x 10

Given that f x x 6 and g x 7 5x find a f g 2 b g 2 c fg 2 d 2

Solve the following system y i y Give the answers in the form of a fraction if necessary 18 2

An open box is to be constructed from a square piece of sheet metal by removing a square of side 6 feet from each corner and turning up the edges See the figure on the right If the box is to hold 864 cubic feet what should be the dimensions of the sheet metal

8 Suppose is the function given by f x 2 4x 3 Determine 30

9 The point of view used by the author gives the reader insight into the O family s behaviors Pashtun tribe O narrator s thoughts brothers feelings

Given that f x 2x 5x 1 and g x zh a Determine the rule for the composite function g g x g g z b Determine the rule for the composite function g f z g f z c Determine the rule for the composite function f g f g x Preview Preview Preview

Please show all work for full credit Round to two decimal places when necessary 1 Write the interval notation for the solution graphed below 1 10 9 1 1 1 6 1 3 1 2 1 1 1 2 1 3 5 1 6 7 a

You may need to use the appropriate technology to answer this question Consider the experimental results for the following randomized block design Make the calculations necessary to set up the analysis of variance table Blocks 1 2 3 4 Treatments A B C 10 9 8 12 6 5 18 15 14 OHO HA HB HC Ha HA HB c 20 19 18 5 8 7 St for any sign ant differences Use 0 05 to State the null and alternative hypotheses OHO HA HB c Ha HAHB HC HO HA HB MC H Not all the population means are equal O Ho At least two of the population means are equal H At least two of the population means are different

A tank has a population of 8 fish Their lengths are listed in the table Find the 3 decimal population mean Find the Population Median Find the 3 decimal Population Standard Deviation 13 16 12 15 4 17 12 6 11 16

If the mean of a data set is 24 and the standard dev is 5 What percent of the values fall between 14 and 29 83 9 of the values fall between 19 and What value is 3 standard deviation to the left of the mean

Find each for 22 18 12 18 16 21 19 Mean 2 decimal Standard Deviation Median Mode

Which sampling method puts the population into groups and then only selects sample members from a few of the groups Answer by typing the letter in front of each word Do not type the word A Stratified B Systematic C Simple Random D Cluster

A survey is done in London and people are questioned in 6 out of 32 neighborhoods Systematic Stratified Cluster Simple Random

Give the best letter A Nominal B Ordinal C Interval D Ratio Faculty titles like Professor Associate Professor Assistant Professor A variable that asks for birth year

Part 3 of 3 What age corresponds to the standard value of 3 2 010 6

A survey is taken of people entering a stadium The selected individuals are 20 70 120 170 220 Systematic Stratified Cluster Simple Random

What is the 2 decimal z value for an x value of 20 if the SD 3 and the mean is 22

The mean age of a group of students is 17 and the standard deviation is 5 What is the z value of a student with age 16 years Part 2 of 3 2 6 6 X What is the z value of a student who is 28 years old IC PA

What is the 2 decimal z value of a student who is 72 tall Part 3 of 3 2 16 X S If a student has a standard height of 2 5 what is their actual 1 decimal height 2 16 6

Part 3 of 3 The percent of showers that use between 10 9 and 20 1 gal 9 10 3 X

Part 1 of 3 A class has an average height of 54 with a standard deviation of 4 6 What is the 2 decimal z value of a student who is 49 tall Part 2 of 3 8 10 X What is the 2 decimal z value of a student who is 72 tall

Part 1 of 3 A study shows that water usage is normally distributed with an average shower using 17 8 gal with a standard deviation of 2 3 gal Find each 1 decimal answer The percent of showers that use between 10 9 and 24 7 gal Part 2 of 3 010 X The percent of showers that use more than 22 4 gal OC 15

Part 1 of 3 Find each from the data Give a 1 decimal answer if needed 12 19 28 38 34 31 21 27 14 Find Q1 Part 2 of 3 Find Q2 Part 3 of 3 Find Q3 D 3 16 96 X 2 10 OC 5 X D

10 11 5 Find Q1 12 17 15 7 2 11 15 1 12 9 Part 2 of 3 Find Range Part 3 of 3 16 58 2 16 X 8 16 X 5 6

Find each 2 decimal answer for the sample data 5 3 10 2 13 4 17 6 The mean Part 2 of 3 8 25 5 The standard deviation 8 X 0 0 6 8 10 662 0x0 5 6 3 ft mi

A doctor measured serum HDL levels in her patients and found that they were normally distributed with a mean of 69 4 and a standard deviation of 3 9 Find the 2 decimal serum HDL levels that correspond to z 1 6 Part 2 of 2 00 X 19 A doctor measured serum HDL levels in her patients and found that they were normally distributed with a mean of 69 4 and a standard deviation of 3 9 Find the 2 decimal serum HDL levels that correspond to z 2 74 E In P C

Find each for the data 10 16 22 29 33 31 18 26 15 Find Q1 Part 2 of 3 Find Q2 Part 3 of 3 2 16 X X

In a mid size company the distribution of the number of phone calls answered each day by each receptionist is bell shaped and has a mean of 42 and a standard deviation of 12 Using the empirical rule what is the approximate percentage of daily phone calls between 18 and 42 do not put the percent symbol Part 2 of 3 00 X 1 9 What is the percent between 30 and 54 do not put the percent symbol

Use the table of values to find each 2 d cimal answer 21 74 84 60 23 45 88 29 36 27 60 37 58 41 77 57 31 27 63 76 88 64 92 16 Find the mean Part 2 of 3 010 S If this is sample data give the sample standard deviation

Part 1 of 3 The population of animals in a zoo was checked each week and the values are blew 121 144 133 155 111 144 153 150 What is the 1 decimal mean value of the population Part 2 of 3 2 16 X What is the 1 decimal population standard deviation of the data 9 10 5 X

What is the percent between 18 and 78 do not put the percent symbol 0 00