Math - Others Questions

1 point The graph below is a polynomial function in the form f x x a x b x c Find suitable unique real numbers a b and c that describe the graph 8 Answer a and c 1 0 8 b Note You can click on the graph to enlarge the image

2009 the world s largest pumpkin weighed 1 725 kilograms An average sized pumpkin weighs 5 000 grams kilograms more than an average sized pumpkin Write your answer as a The 2009 world record pumpkin weighs mumeral

en science class Richard learns that petrol has a boiling point of 203 Fahrenheit His teacher asks him to convert this emperature to degrees Celsius What is the boiling point of petrol in degrees Celsius 307 8 C O 397 4 C O 95 C 130 6 C

1 point 24 18 12 6 5 4 3 2 1 6 6 12 18 24 1 2 3 5 6 X Determine the equation of the polynomial x of minimum degree whose graph is shown above Write your answer in factored form f x Help Click here for help entering formulas

1 point Find all zeros and vertical asymptotes of the rational function f x If there is more than one answer enter your answers as a comma separated list If there is no solution enter NONE Do not leave a blank empty a The function has x intercept s at x help numbers x 1 x 1 b The function has y intercept s at y help numbers X c The function has vertical asymptote s when help numbers Y d The function has horizontal asymptote s when help numbers

Next Problem 1 point The polynomial of degree 3 P x has a root of multiplicity 2 at x 5 and a root of multiplicity 1 at x 5 The y intercept is y 75 Find a formula for P x P x

1 point Determine the end behavior of the following polynomial function f x 8 15x5 18x 0 8x15 The leading term of the polynomial is The degree of f x is The leading coefficient is The end behavior of the polynomial f x is of the form A BC D where A D B C

THEOREM 7 4 1 Derivatives of Transforms If F s L f t and n 1 2 3 then L t f t 1 n dn F s dsn valuate the given Laplace transform Write your answer as a function of s L 6t cos t 2 2 1

5 Write down the equation of a line that is parallel to a y 3x b y 2x 3 dy x 2 e x 8

Find the inverse Laplace transform O L OL OL S 25 59 s 27 5 45 13 2 L 35 22 5 4

Calculate h 0 2 and f 1 04 for the given function with the Five point midpoint formula Take 3 digits of precision after the dot f x 3x 2 e

Question 4 Joe and his partners have contracted to purchase the franchise rights worth 78 000 to open and operate a specialty pizza restaurant called Pepperoni s With a renewable agreement the partners have agreed to make payments at the beginning of every month for three years To accommodate the renovation period Pepperoni s corporate office has agreed to allow the payments to start in one year with interest at 8 49 compounded semi annually What is the amount of each payment

1 Supposed we set M 2 5 8 3 7 9 If you execute the following R command what output do you expect to see is matrix M M 5 drop F TRUE 4 7 FALSE NA

Would the following code print out Hello world Choose the correct answer x c 1 if length x cat Hello world Yes Due to explicit coercion length x is coerced to logical value TRUE Yes Due to implicit coercion length x is coerced to logical value TRUE O No Due to explicit coercion length x is coerced to logical value FALSE No Due to implicit coercion length x is coerced to logical value FALSE

For the data in the 0 22 range in the table which of the Newton Cotes Integral calculations made for the h values and their integral boundaries is are correct X y 0 2 6 8 156 230 282 310 364 10 12 14 396 422 445 16 480 18 500 for h 4 A 1 5 156 2 422 3 282 364 480 510 541 for h 6 A 3 156 2 310 422 500 for h 4 A 4 3 156 4 282 422 510 2 364 480 541 541 20 510 10 22 54

How many cups are in 3 quarts and 1 pint Enter the number only Do not include units

A grain trader buys the following amounts from three suppliers 3 200 pounds 7 200 pounds and 600 pounds What is the otal weight of his purchase 11 tons O 5 pounds 5 tons O 5 tons

How many ounces are in 3 pounds and 4 ounces O 7 ounces 432 ounces O O 67 ounces O 60 ounces

the following distribution to complete parts a through d below 3 4 8 11 14 D Compute the mean and standard deviation of the distribution o mean is 81 e standard deviation is 4 64 ound to the nearest hundredth as needed Multiply each number in the distribution by 3 and compute the mean and the standard deviation of this new distribution o mean is 24 o standard deviation is 13 92 ound to the nearest hundredth as needed Multiply each number in the original distribution by 9 and compute the mean and the standard deviation of this new distributi so mean is 72 mo standard deviation is ound to the nearest hundredth as needed

e correct choice that completes the sente bola is used to indicate the standard dev

Measures of dispersion are used to indicate the spread or

symbol s is used to indicate the standard deviation of a symbol s is used to indicate the standard deviation of a statistic sample piece of data

Fill in the blank so The difference between the highest and lowest data values in a data set is called the The difference between the highest and lowest data values in a data set is called the

7 The dragon on this sixteenth century bowl from the Chinese Ming Dynasty is best described as A purely decorative B intentionally frightening C a cultural symbol D an expression of personal identity

The cost function for a certain commodity is C q 86 0 14q 0 007q 0 0005q a Find C 100 100 X Interpret C 100 This is the amount of time in minutes it takes to produce 100 items This is the rate at which the production level is decreasing with respect to the cost when x 100 This is the number of items that must be produced before the costs reach 100 This is the cost of making 100 items This is the rate at which costs are increasing with respect to the production level when x 100 b Find the actual cost of manufacturing the 101st item Round your answer to the nearest cent 11 3054 x x Enhanced Feedback Please try again For part a find the derivative of C and evaluate it for the given value For part b the cost of the nth item is C

You purchase a used car for 8 000 with a loan at 2 4 monthly payments Find the Payment and how much interest is payed if the loan is a 2 years b 3 years c 4 years d 5 years e 6 years f 7 years

The motion of the collar at A is controlled by a motor B such that when the collar is at SA 3 ft it is moving upwards at 2 ft sec and slowing down at 1 ft sec Find a The velocity of the cable as it is drawn into the motor B at this instant b The acceleration of the cable as it is drawn into the motor B at this instant Solution Answer Vc VB 1 20 ft sec ac aB 1 11 ft sec a SA A 4 ft B PREPARE Fe Octave script FOR

Uh her first six exams Sheryl received grades of 48 68 73 57 64 and 75 Answer parts a d a What grade must she receive on her last exam to pass the course Sheryl must receive a score of 35 or more on the last exam to pass the course Type a whole number Sheryl would need a score of to get a C Since it Type whole numbers GELERN b An average of 70 is needed to get a C in the course Is it possible for Sheryl to get a C If so what grade must she receive on the seventh exam Assume that the exams do not have any e credit questions possible to get a score of it possible to earn a C

mean average of 60 on seven exams is needed to pass a course On her first six exams Sheryl received grades of 48 68 73 57 64 and 75 Answer pa What grade must she receive on her last exam to pass the course eryl must receive a score of o or more on the last exam to pass the course pe a whole number

aylors have recorded their weekly grocery expenses for the past 16 weeks and determined that the mean weekly expense was 84 90 Later Mrs Taylor discovered that 11 was incorrectly recorded as 45 What is the correct mean correct mean is Round to the nearest cent as needed GETED

The mean is the most sensitive average because it is alre by Determine the mean median mode and midrange for 2 3 4 6 6 7 12 Change the 7 to 10 in part a Determine the mean median mode and midrange Which averages were affected by changing the 7 to 10 Which averages will be affected by changing the 12 to 10 in part a a Select the correct choice below and fill in the answer boxes within your choice Round to the nearest tenth as needed Use a comma to separate answers as needed A The mean is the mode s is are and the midrange is OB The mean is there is no mode and the midrange is D the median is the median is

2 8 13 28 35 14 12 10 2 What is the mean Round to the nearest tenth as needed nge

Fill in the blanks with the appropriate symbols a The symbol for the sample mean is b The symbol for the population mean is a The symbol for the sample mean is

The value halfway between the lowest and highest values in a set of data is called

the correct choice that completes the senten alue in the middle of a set of ranked data is ca

e average that is found by summing the data and then dividing the sum by the number of pieces of data is ca

Which of the following graphs are bipartite I K P A H K Q G E U D F S G B R B H X A P

Assume the end of the cable at A is pulled down with a speed of 2 m sec Find The speed VE at which block E rises Solution 2 m s B E

Suppose that you eamed a bachelor s degree and now you re teaching high school The school district offers teachers the opportunity to take a year off to earn a master s degree To achieve this goal you deposit 1000 at the end of each year in an annuity that pays 5 5 compounded annually a How much will you have saved at the end of five years Find the interest Next question b Click the icon to view some finance formulas a After 5 years you will have approximately Do not round until the final answer Then round to the nearest dollar as needed

A bank offers a CD that pays a simple interest rate of 9 5 How much must you put in this CD now in order to have 1 000 for a home entertainment center in 6 years The present value that must be invested to get 1 000 after 6 years at an interest rate of 9 5 is the nearest cent Round up to

A sofa regularly sells for 860 The sale price is 782 60 Find the percent decrease of the sale price from the regular price

Rewrite the following without an exponent 3 J

Rewrite the following without an exponent 8 0

13 13e 5 47 36 2 L sin 6t say sinh 7 t 1 26 27 3 cos64 5 singt Se ty

4 on the set a b R c d necessary and sufficient condition for a b c d defined as R relation is given R Does the relation have the properties of reflection symmetry inverse symmetry and transition Please search

2 Investigate whether the following equations are true for any set a Ax B D A B A D b An BAC AB A AC

1 Give examples of ways to show that a proposition is false

3 Z 0 on the set x y x y 2Z Investigate whether the relation defin as E is an equivalence relation

4 32 Draw the shear and moment diagrams for the beam 6 ft 600 lb ft A 12 ft Prob 4 32 B

4 24 Draw the shear and moment diagrams for the bea A 2k 2k 4 ft 4 ft 4 ft 4 2k 2k ft4 ft 4 ft