Math - Others Questions

Plot P 2 5 1 on the rectangular coordinate system whose x and y axes are labeled from 0 to 5 y y O 3 N 1 5 aga 19 3 2 P2 5 1 2 3 P 2 5 1 N 3 4 4 10 5 10 O 3 2 1 5 4 3 2 1 1 P 2 5 1 P 2 5 1 2 2 3 3 4 4 5 10 5 X X G

Plot the point on the rectangular coordinate system B 3 7 BO L 8 6 4 2 8 6 4 2 II III IV 8 6 4 2 N 4 6 8 8 6 4 2 2 4 8 2 468 2 4 6 8 Specify the quadrant in which the point lies if any 8 6 4 2 B LLL 8 6 4 2 6 4 2 2 4 9 an 00 6 4 2 2 4 166 00 2 2 4 if B 4 6 8 6 8 X

Find the exact values of the six trigonometric functions of the angle 8 shown in the figure sin 8 cos 6 tan 6 CSC 6 sec 6 cot 6 7 7 2 72 7 X XX X 7 2 7

Construct an appropriate triangle to complete the table 0 8 90 0 0 x 2 deg 8 rad Function Value Function sin 6

Use the scatterplot to answer the question SK Time in minutes 22 20 18 16 20 50 30 40 Miles Ran per Week Identify the independent variable and the dependent variable The independent variable is Select ne time in a 5 km race in minutes ne number of miles ran per week ne time in a 5 km race in minutes 60 he number of miles ran per week the dependent variable is Select

Average Price of Residential Natural Gas in dollars per million Btu 5432109765432 HO 0 1 2 3 4 5 6 7 8 9 10 Number of Years Since 2000 Classify the scatterplot as generally increasing generally decreasing or neither generally increasing generally decreasing neither

Use the time series plot to answer the question Average Price of Residential Natural Gas in dollars per million Btu 15 14 0 8 01 4 5 6 7 3 Number of Years Since 2000 During how many years from 2000 to 2010 was the average price of natural gas less than 12 per 1 million Bt 9 10

Use the scatterplot to answer the question 25 5 Hourly Wage in dollars 20 10 5 0 1 2 3 4 5 Number of Years of Work Experience 6 From inspecting the graph as the number of years of work experience increases what generally happens to the hourly w The hourly wages generally increase The hourly wages generally decrease The hourly wages do not generally increase or decrease

Identify the explanatory variable and the response variable the number of miles a person runs per week for three months and that person s time in a 5 km race the response variable is The explanatory variables represents Select Select 1 a person s time in a 5 km race 2 the number of miles a person runs per week for three months or the first sentence 1 the person s time in a 5 km race 2 the number of miles the person runs per week for three months for the second contorco

Use the time series plot to answer the question Number of Biodiesel Cars Owned in the U S in thousands 400 350 300 250 200 150 100 50 0 1 2 3 4 567 8 9 10 Number of Years Since 2000 During which years were the data recorded Enter your answers as a comma separated list

Use the scatterplot to answer the question Fahrenheit Average Annual Temperature in degrees 90 increase 80 70 60 50 40 30 10 20 30 40 50 City s Latitude degrees north From inspecting the graph as a city s latitude tends to be farther north would you expect the average temperature decrease

Use the scatterplot to answer the question Final Exam Score 100 95 90 70 60 55 50 0 1 2 3 4 5 6 7 8 9 10 Hours Studying for a Final Exam According to the graph how long in hours did a person study who scored a 96 on the final exam

Let x represent the number of years since 1990 and let y represent the amount spent to purchase a car exported to that country in thousands of dollars Identify the marginal change b and the given ordered pair x Y b x x Write an equation in point slope form using the given ordered pair x y for the amount spent to purchase a car exported to that country from 1990 to 1999 Sketch a graph of the equation for x 0 to x 9 y 35 30 25 20 15 10 5 y 35 30 25 From 1990 to 1999 the amount spent to purchase a car exported to a certain country increased at a rate of 1 780 each successive year In 1995 the average amount spent to purchase a car exported to that country was 25 400 20 15 10 5 1 1 2 2 3 3 4 4 5 6 7 5 6 7 L 8 8 9 9 X X y 35 30 25 20 15 10 5 y 35 30 25 20 15 10 5 1 1 2 3 2 3 4 4 5 5 6 6 7 8 9 7 8 9 X X 1

A marginal change and an ordered pair are given b 3 5 2 Write the equation of the line in point slope form Let x be the independent variable and y be the dependent variable

Determine the marginal change and the y intercept y 5 3x marginal change y intercept x y

Determine the intercepts of y 12 2x x intercept x y y intercept x y Use the intercepts to graph the linear equation No Solution 14 12 10 4 4 2 14 42 40 a 6 4 2 2 4 10 12 2 4 6 4 10 12 14 U Fill Graph Layers After you add an object to the graph you can use Graph Layers to view and edit its properties

Determine whether x y3 7 is a linear equation If it is not explain why it is not The given equation is a linear equation The given equation is not a linear equation because at least one of the variables has an exponent which is not one The given equation is not a linear equation because it does not involve two variables and an equal sign The given equation is not a linear equation because at least one of the variables is in the denominator of the fractic

Calculate 1 1

Compute the slope of the line If an answer is undefined enter UNDEFINED 0 121 74 and 5 176 8 b Classify the line containing the points as tending upward tending downward horizontal or vertical tending downward tending upward horizontal vertical

15 20 15 10 0 5 15 Determine if x and y have a positive association a negative association or neither positive negative neither 10 X 20

A nutritionist surveys seven patients and records the typical number of minutes they exercise per day and their body mass index BMI The results are shown in the following table BMI Construct a scatterplot of the data in which the horizontal axis corresponds to minutes of exercise and the values start at 0 and end at 60 and the vertical axis corresponds to BMI and the values start at 0 and end at 30 BMI 30 25 20 15 10 5 30 25 20 15 10 Minutes of Exercise 60 30 50 0 15 40 10 5 BMI 15 20 14 30 26 18 29 5 10 15 20 25 30 35 40 45 50 55 60 Minutes of Exercise 5 10 15 20 25 30 35 40 45 50 55 60 Minutes of Exercise BMI BMI 30 25 20 15 10 12 5 30 25 20 15 10 5 5 10 15 20 25 30 35 40 45 50 55 60 Minutes of Exercise 5 10 15 20 25 30 35 40 45 50 55 60 Minutes of Exercise

A scatterplot is given 20 15 10 10 15 20 Determine if x and y have a positive association a negative association or neither positive negative neither

Use the formula A s 251 4 h for the surface area A of a right square pyramid whose base side measures s and whose height is h This formula yields the surfac area in square units Suppose a particular skyscraper has a glass encased pyramid roof which is 20 meters wide at its base and 30 meters high Compu the surface area of the pyramid roof to determine how much glass was used to construct the roof in m2 Round the result to the nearest whole number m

Let f x 3 x Simplify each of the following expressions f 2 3 2 f 2 h 3 2 h f 2 h f 2 3 2 h f 2 h f 2 h 3 2 h 2 Make sure to cancel out the factor of h in the denominator

Determine the ordered pair for the point labeled E in the figure below n y 4 3 2 1 E X 5 4 3 2 1 1 2 3 4 5 1 2 3 in e

If f x 31 3 x 11 and g x 2x2 20 compute the composition fog 5 fog 5 35 ns X

Let f x f 5 4 5 f 5 h X Simplify each of the following expressions 4 5 h f 5 h f 5 f 5 h f 5 4h 5 5 h 1 5 h X Make sure to combine terms by getting a common denominator Make sure to cancel out the factor of h in the denominator

Functions Course Packet on the composition of functions If f x 11 and g x 26x 10 compute the compositions fog 1 and gof 1 5x 6 fog 1 gof 1

Let f x 5x 7x 2 and g x 3x 5 Determine the rule for the composite functions f o g and go f fog x NS gof x

21 Solve AABC given AB 35 cm BC 19 cm and ZA 30 Round all angles and sides to 1 decimal place

sin 0 11 cos 0 tan 8 csc 8 sec 0 cot 0 values of the six trigonometric functions of the angle 8 shown in the figure 12 13 13 S X X x X 12

Part 1 of 3 HW Score 70 14 of 20 points O Points 0 of 1 Determine the following estimate without using a calculator Then use a calculator to perform the computation necessary to obtain an exact answer How reasonable is your estimate when compared to the actual answer The estimate of the total cost of the grocery items is Type a whole number Save Estimate the total cost of six grocery items if their prices are 11 05 1 43 9 88 9 07 2 25 and 14 51 by rounding each price to the nearest dollar and then adding

EV Part 1 of 3 HW Score 70 14 of 20 points O Points 0 of 1 The estimated product is Type an integer Save Estimate the product by rounding the numbers so that the resulting arithmetic can easily be performed by hand or in your head Then use a calculator to perform the computation How reasonable is your estimate when compared to the actual answer 47 of 391 631

The Venn diagram here shows the cardinality of each set Use this to find the cardinality of the given set A A C 10 11 B 8

Example 1 Let a function f be represented symbolically by f x x 1 a Evaluate f 2 f 1 and f a 1 b Find the domain off

U a b c d e f g h Let sets A B and C be subsets of U where A a b c d B b c d e g C a c d e f Complete a Venn diagram for the sets and then answer the question following A B List the elements in the set ANC U BNA U a

54 55 In Australia the traditional food of Indigenous people is known as bush tucker Most famous is the witchetty grub which is a rich source of protein for communities living off the land Witchetty grubs are large moth larvae up to 12cm long that are found in the roots of the witchetty bush They taste like almonds when eaten raw and when cooked by rolling them in hot ashes they taste like a fried egg In the islands of Fiji duruka a delicious vegetable which looks like asparagus is an important part of the traditional diet It s found inside the stem of a long grassy plant similar to sugarcane and is sold in bundles The young unopened flower heads are very sweet Some say it tastes like sweetcorn It s eaten raw roasted on an open 56 Read the following article In sentences 54 60 fill in one or two words which you will find in the article The statements are not in the same order as the article 57 58 Oceania in the southern half of the Pacific Ocean is made up of 14 countries and several overseas territories or dependencies such as American Samoa and French Polynesia It s divided into four regions Australasia and the island groups of Melanesia Micronesia and Polynesia which are made up of over 10 000 islands There is a large variety of traditional food across Oceania some of it very strange The many Because of the way they are These regions are Duruka fuits Here the The flower is eaten The fruit s taste depends on the way it is served when fire or cooked in coconut cream This is one food that tourists are sure to enjoy Tahitian noni fruit grows wild on trees throughout Tahiti It looks like a potato with a pebbly surface and is yellowish greenish white in colour It has an extremely unpleasant cheese like smell Unripe noni is tough and is best cooked in stir fries or curries When ripe noni can be eaten raw However it s usually consumed in juice form mixed with other juices to mask the taste Noni fruit juice is sold in health food shops around the world because of its many health benefits as confirmed by medical research scientists have confirmed are the reason this fruit is so popular two words A traditional food from Samoa known as S ee consists of raw sea cucumber guts that is intestines in salted water yes sea cucumbers are animals not plants S ee comes in bottles and is sold in local fish markets or along the roadside in recycled Coca Cola bottles Sea cucumbers called rori in Tahiti belong to the family of echinoderms like starfish and sea urchins and are shaped like cucumbers S ee is supposed to be very healthy too However because it s slimy and looks like a bottle of water full of tapeworms it s probably one that tourists will skip these animals are named after a vegetable one word of thousands of separate islands two words The region includes several countries as well as various it reminds one of a kind of nut one word people have a proper English name for their cuisine one word and is known for its sweetness one word

Review the prevention levels slides and the reading on prevention levels from the Module 2 Learning Guide Using the information provided match each activity to its correct prevention level Breast cancer screening Teaching children how to wear bike helmets as part of bike safety Pregnancy prevention education for 6th graders Smoking cessation programs Medication strategies for Alzheimer s Vaccinations Surgical strategies to treat heart disease Choose Choose Tertiary prevention Secondary prevention Primary prevention Choose Choose Choose Choose Choose

Driver s education in high schools Exercise programs for people living with disabilities Choose Tertiary prevention Secondary prevention Primary prevention Choose

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9 Find the arc length function for the following curve with the given starting point y 7 4x5 2 P 1 3 A B C D E 1 413 2 dt 10t 2 dt S S S S V1 10t3 2 dt A e 20 B 1 e C e 5 D 1 e5 E e 1 100t dt 1 100t5 dt 10 A tank contains 100 liters of salt water Pure water is added to the tank at the rate o 20 liters per hour and the well stirred mixture is drained at the same rate After 5 hour the tank contains 1 kg of salt Determine how many kilograms of salt were in the tan originally

The following questions highlight how changes in numbers can be measured in both absolute and relative or percentage terms Two stores in a mall are having promotions The first Annie s Attic is offering 10 00 off any purchase The other Betty s Breakables is offering 40 off any purchase Each store offers a music box at a non discounted price of 60 and a faux Ming vase for 30 00 as summarized in the following table Determine the promotional price of each item at each store Item A music box A faux Ming vase Original Price Dollars 60 30 00 S 10 00 Off Dollars Discount What advice should you give your friend in this situation 40 Off Dollars Suppose a friend of yours wants to buy a crystal candlestick You remember seeing this item at both Annie s Attic and Betty s Breakables but you do not remember the price O Go to Betty s Breakables if the price is above 25 00 Go to Betty s Breakables 40 off is always better than 10 00 off Go to Betty s Breakables if the price is below 25 00

A performance evaluation for new sales representatives at Office Automation Incorporated involves several ratings done on a scale of 1 to 10 with 10 the highest rating The activities rated include new contacts successful contacts total contacts dollar volume of sales and reports Then an overall rating is determined by using a weighted average The weights are 2 for new contacts 3 for successful contacts 3 for total contacts 5 for dollar value of sales and 3 for reports What would the overall rating be for a sales representative with ratings of 4 for new contacts 5 for successful contacts 3 for total contacts 9 for dollar volume of sales and 3 for reports Round your answer to two decimal places

What would happen if when entering a transaction from June 2 you accidentally transposed the numbers and entered 560 0 instead of 650 How would you correct the entry on June 25 Use the link to go to the Journal and record the correcting entr Go to General Journal What If Answer each question in 3 5 complete sentences How can totaling the debits and credits in the journal help you What action would you take if the totals do not match

Use the Critter Sitters chart of accounts to analyze the transaction and complete a T account Chart of Accounts Un June 3 Michelle Sanchez paid QuickSigns 350 in cash to apply a vinyl graphic on her car to advertise 1 Critter Sitters Animal Care and has provided you with the receipt Complete the chart below for this transaction Amount Account Type 2 Accounts Complete the T accounts for the transaction Increase Decrease Debit Credit

credited accounts and amounts and transaction descriptions Go to General Journal June 3 June 5 June 6 June 6 June 8 Record the transaction from Part 1 A receipt shows Michelle Sanchez paid cash to purchased 20 bales of hay for 600 00 from Buddy s Pet Supplies A withdrawal slip shows Michelle Sanchez withdrew 1 000 00 from the business account for personal use An invoice shows Michelle Sanchez purchased 300 00 of dog treats and toys from Buddy s Pet Supplies on account An invoice shows that Critter Sitters Animal Care was hired to feed the Smith s dogs for 50 00 cash June 10 A receipt shows that Michelle Sanchez was paid 30 00 cash to bathe the Turner s cats

The following data represent weights in kilograms of maize harvest from a random sample of 72 experimental plots on St Vin an island in the Caribbean 7 9 9 0 9 6 9 9 10 3 10 4 11 0 11 6 11 9 12 1 12 3 12 4 13 0 14 3 14 4 14 5 15 3 20 4 20 6 20 8 21 0 21 3 17 1 17 7 18 3 18 9 19 2 19 4 22 4 22 6 22 7 22 9 23 0 25 1 25 2 25 6 26 0 15 6 LUSE SALT Q median Q3 maximum a Compute the five number summary minimum b Compute the interquartile range 13 6 13 6 13 6 13 9 16 1 16 1 16 2 16 6 23 8 23 9 23 9 23 9 24 0 24 0 24 6 24 6 21 9 19 7 20 1 20 1 21 9 22 1 11 8 23 2 23 3 23 7 26 5 26 6 26 8 27 0 22 3 23 7 24 8 29 6

soil water content and the spread of the disease in fields of bell It is thought that too much water helps spread the disease The fields were divided into rows and quadrants The soil water content percent of water by volume of soil was determined for each plot An important first step in such a research project is to give a statistical description of the data Soil Water Content for Bell Pepper Study 6 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 11 12 12 12 12 12 13 13 13 13 14 14 14 12 14 14 14 15 17 16 15 14 13 12 11 10 9 LAUSE SALT a Make a box and whisker plot of the data Find the interquartile range IQR 15 15 15 15 15 16 17 17 16 15 14 13 12 11 10 9 9 9 9 9 9 8 11 17 16 15 14 13 12 11 10 9 8 11 11 16 15 14 13 12 11 10 9 8

Professor Cramer determines a final grade based on attendance two papers three major tests and a final exam Each of these activities has a total of 100 possible points However the activities carry different weights Attendance is worth 4 each paper is worth 5 each test is worth 13 and the final is worth 47 a What is the average for a student with 91 on attendance 72 on the first paper 82 on the second paper 84 on test 1 85 on test 2 81 on test 3 and 92 on the final exam b Compute the average for a student with the above scores on the papers tests and final exam but with a score of only 22 on attendance

Look at the two histograms below Each involves the same number of data The data are all whole numbers so the height of each bar represents the number of values equal to the corresponding midpoint shown on the horizontal axis Notice that both distributions are symmetric Histogram i Frequency Frequency M Histogram ii 5 mode 3 0 3 4 5 5 10 N a Estimate the mode median and mean for each histogram Histogram i Histogram ii 8 00 8 9 9