Math - Others Questions

An arrow is launched upward with a velocity of 96 feet per second from the top of a 50 foot building What is the maximum height attained by the arrow height function

Step 4 Give the coordinates of the vertex x y 4 2 Step 5 To find the zeros or x intercepts of the function we solve the equation y x x 0 for x y f 0 x x Give the zeros below Enter your answers as a comma separated list x 0 8 4 2 The y intercept is y x 0 Step 6 To find the y intercept of the function we need to calculate y f 0 1 2 8 0 8

Step 1 The solution of the system can be found using the Gauss Jordan elimination Recall that when using Gauss Jordan elimination the end goal is to obtain an identity matrix for the coefficien matrix by using elementary row operations Notice column 1 already has a 1 and then 2 zeros So next we focus on obtaining a 1 in row 2 column 2 This can be achieved by adding row 3 to row 2 and putting the result in row 2 1133 0419 0 360 H 20 3 1 1 3 37 179 0 360 0 Step 2 Next we focus on column 2 to obtain zeros in the first and third row entries To get a 0 in row 1 column 2 we can add 1 times row 2 to row 1 and put the result in row 1 Also to get a 0 in row 3 column 2 we can add 3 3 times row 2 to row 3 and put the result in row 3 10 4 01 LO O Submit Skip you cannot come mil 79 7 27 27 7 6 9 9 27 Step 3 Now we want to obtain a 1 in the third row last column To do this we need to multiply row 3 by 10 4 6 10 6 01 7 9 01 9 0 0 27 27 00 and put the result in row 3

The x coordinate of the vertex is 4 Use that value in the equation to determine the y coordinate of the vertex y f f 4 2a 4 2 Step 4 Give the coordinates of the vertex x y 4 2 4 2 Step 5 To find the zeros or x intercepts of the function we solve the equation y x 0 0 Give the zeros below Enter your answers as a comma separated list 1 2x x x 0 for x

Let U 5 6 7 8 9 10 11 A 5 6 7 8 B 5 6 9 10 and C 7 9 11 List all the members of the given set Enter your answers as a comma separated list AUB nC

Consider the sets X and Y Write the statement in symbols A union of complements OXUY OXnY OXUY OXnY OXUY

Let U 7 8 9 10 11 12 13 A 7 8 9 10 B 7 8 11 12 and C 9 11 13 List all the members of the given set Enter your answers as a comma separated list AU BNC

In a survey of a TriDelt chapter with 50 members 23 were taking mathematics 31 were taking English and 8 were taking both How many were not taking either of these subjects members

Let U 1 2 3 4 5 6 7 A 1 2 3 4 and B 1 2 5 6 List all the members of the given set Enter your answers as a comma separated list Enter EMPTY for the empty set AUB x

Use set notation to identify the shaded portion of the following Venn diagram O AUB O AUB OAUB O An B An B X U B

Let U 2 3 4 5 6 7 8 and A 2 3 4 5 List all the members of the given set Enter your answers as a comma separated list Enter EMPTY for the empty set A

Draw a Venn diagram for the relationship XUY U U X OD Y OD U U X

X n for any set X OZ OW SON OX

Perform the given set operation NUW 00 OW SON OZ OQ

Onsider the following sets A 15 B 10 5 C 10 5 D 2 E 2 3 a What is the cardinality of each set A 1 B 1 C 2 D 1 E 2 11 b Which of the sets are equivalent B C D A E OAB C OABD O D E C E AB C D E OABE D C c Which of the given sets are equal A D E B C A B D C E C E A B 20 F X

A 15 B 10 5 C 10 5 D 2 E 2 3 a What is the cardinality of each set A B IC IDI E b Which of the sets are equivalent A B C D E OAB C D E ABD C E OAB C D E OABE D C 4 A c Which of the given sets are equal OA D E B C O A B D C E OC E O A B OD E

How many subsets does the set L 1 2 3 4 have subsets

List all possible subsets of the given set I 5 6 O 5 6 5 6 O 5 6 5 6 O 5 6 O 5 6 O 5 6

1 x 2x x x 1 3 Let f x a Analyze lim f x and lim f x X48 x 00 b Does f have a slant asymptote If so write the equation of the slant asym

ecide whether each statement is true or false a a E m a t h O True O False b m E m a t h O True O False

Sets can be written by description roster or set builder notation Write the given set in two alternative ways Roster 16 8 0 8 Write out in words the description of the set The set of all Select Write the set in set builder notation O xlx 8k k a whole number O x x 8k k a negative integer O xlx 8k k an integer O xlx 8k k an odd integer O x x 8k k a natural number that are multiples of Select

Specify the sets by roster a Distinct letters in the word pipe b Counting numbers greater than 140 Enter only the first three values of this set

Metals A and B melt at 600 C and 300 C respectively They are partially soluble in the solid state and form an intermetallic compound AXBY at 40 B with a melting point of 900 C A eutectic reaction is formed at 20 B and 300 C and a peritectic reaction at 60 B and 500 C Cooling curves show arrest points at 300 C over the range 10 to 40 B and at 500 C over the range 40 to 80 B At room temperatures the solubility of B in A is 5 and A in B 10 Assuming all phase boundaries are straight lines and that there is no solubility of A or B in the compound AXBY draw the equilibrium diagram for the system A B Label the phase fields

Find the total cost function C x in thousands of dollars if the marginal cost in thousands of dollars per unit at a production level of x units is C x c 0 20 COCO Which of the following explains how to find C x the total cost function if the marginal cost at a production level of x units is C x A To find the total cost function evaluate the indefinite integral of the marginal cost and apply the initial conditions c 0 20 Therefore C x Type an exact answer B To find the total cost function evaluate the derivative of the marginal cost and apply the initial conditions c 0 20 Therefore C x 8x 5 0 x 4 and fixed costs are 20

A lawn service company charges 68 for each lawn maintenance call The fixed monthly cost of 652 includes telephone service and depreciation of equipment The variable costs include labor gasoline and taxes and amount to 38 per lawn Part 1 of 5 a Write a linear cost function representing the monthly cost C x for x maintenance calls The linear cost function is C x 38x 652 Part 1 5 Part 2 of 5 b Write a linear revenue function representing the monthly revenue R x for x maintenance calls The linear revenue function is R x

Simplify the following 41 type your answer

A person wants to invest 14 000 for 2 years and is considering two different investments The irst investment a money market fund pays a guaranteed 6 7 interest compounded daily The second investment a treasury note pays 6 9 annual interest Which investment pays the mo interest over the 2 year period Select the correct choice below and if necessary fill in any answer box es to complete your choice Do not round until the final answer Then round to the nearest cent as needed OA The market fund is the better investiment since the market fund produces in interest and the treasury note pays R The treasury note is the better investment since the market fund produce in interest and the treasury note pays OC Both the market fund and the treasury note produce the same interest with in interest in interest 201 nsider intere any ar neares the ma e the ma

There are 800 deer in a national park and the deer population has been growing at an annual rate of 4 1 Write an equation to represent y the number of deer in the park n years from now 2 Graph the equation Use values of n from 0 to 40 in steps of 5 years 3 Use the graph to estimate when the deer population is 1000 4 Use the graph to estimate how long it will take for the current

You would use the short acting insulin and 56 units of Intermediate acting Insulin capacity syringe to administer a combination dose of 5 units

She last provider gives the medication This violates the basic right of the right administration 1 Time Question 12 a dose at 1400 and it is now 1630 The healthcare for medication To promote accuracy and safety the medication label should be checked medication is administered to the patient SEGU 1 pts before the

Find the sum of the following ser 39 27 243 Selected Answer Response 3 27 243 8 81 273 89 184 None Given

Rewrite the following in the form of a single exponential 73 74

Question Use a power reducing formula to simplify 20cos4 x Write your answer as an equivalent expression that does not any powers of sine or cosine greater than 1 Note When entering your answer put parenthesis in with cosine e g cos 4x

Complete the following tables for each indicated gate Symbol Gate AND U2A A B 0 0 0 1 1 0 1 1 7408N Truth Table output E Gate A 0 0 1 1 B 0 1 0 1 Symbol ED Truth Table output

Find the indicated sum for each o following Question S7 5 10 20 S10 54 18 6 S7 24 12 6 Answer A B c1

Gate A 0 Symbol B 0 D Truth Table output Gate Symbol Truth Table A B 0 0 output

Hari has a bag containing 5 red 3 green 6 orange and 10 black jellybeans He randomly selects 8 jellybeans without replacement What is the probability that he will select more than six black ones 0 0021 0 0023 0 0260 0 0283

Where will the median be located for this distribution Mode Mean mode median mean median mode median mean median mean

The normal approximation is used to estimate the shaded area shown in the binomial distribution shown below Which of the following probability statements gives the most appropriate approximation of the area 0 P 4 5 X 8 5 OP 4 5 X 7 5 P 5 5 X 8 5 P 5 5 X 7 5 4 Fi 6 7 8 9 10 11 12 13 14 15 16

In the expression number of failures 3 4 7 10 23 0 6 0 4 7 10 which number represents the

The number of adults living in homes on a randomly selected city block is described by the following probability distribution Number of adults x Probability P x 1 0 25 0 10 0 15 0 25 0 50 3 0 50 0 15 What is the probability that 4 or more adults reside in a randomly selected home 4 or more

The weights of male and female students in a class are summarized in the following boxplots Males Females 80 F F 100 120 140 160 180 200 220 240 Weight pounds Which of the following is NOT correct The median weight of male students is about 162 lbs The mean weight of female students is about 120 because of symmetry The male students have less variability than the female students About 50 of male students have weights between 150 and 185 pounds

What is the expected payout or value from playing a game with the listed prizes and probabilities in the table Outcome A B C 1 85 2 15 5 60 6 00 Probability 25 35 40 Prize Amount 3 2 1

The expression 9 x 8 x 7 x 6 can be expressed as O a 9P6 Ob 9P4 Oc 9P5 d both b c

blank I rrect answer from the choices listed below and use it to fill in the This expression is equivalent to 10C3 Probability that is based on a best guess given personal experience This type of calculation is used when order doesn t matter A possible result in a probability experiment A variable that can take on only certain values within a given range For example there can be no decimals The number of ways of selecting 4 dogs or 3 cats from a group of 10 dogs and 5 cats An expression equivalent to 5 x 4 The number of ways of selecting 4 dogs and 3 cats from a group of 10 dogs and 5 cats This is the probability of rolling a sum of 9 with a pair of die A distribution with independent trials whose outcomes are either success or failure 1 subjective probability 2 outcome 3 4 5 12 3 continuous 6 permutation 10 3 7 binomial 8 5 9 1 12 10 combination 11 1 9 12 experimental probability 13 hypergeometric 14 10 3 16 15 discrete 10 5 90 4 3

For the graph classify the distribution n Mode Mean Obimodal negatively skewed symmetric positively skewed

There are five cats and seven dogs in a pet shop Four pets are chosen at random for a visit to a children s hospital What is the expected number of dogs chosen 7 12 7 3 7 4 none of these you can t have fractions of a dog

State the number of ways that the 12 members of a baseball team can be lined up if Zoe and Ally must always be together 2177280 21772800 39916800 79833600

A national consumer magazine reported the following correlations The correlation between car weight and car reliability is 0 30 The correlation between car weight and annual maintenance cost is 0 20 Which of the following statements is NOT true Lighter cars tend to be more reliable Heavier cars tend to cost more to maintain Heavier cars tend to be less reliable Car weight is related more strongly to maintenance cost than to reliability

Which description best represents the correlation coefficient sum of the squared deviations square root of the average of the squared deviations equation of the line of best fit measure of fit of the data to a regression