Basic Math Questions and Answers

10pt In AABC ZA 82 ZC 33 and side a 18 Find side c of AABC to the no

The graph of y f x is given Graph the function y f x 4 2 y f x K

What legislation forced thousands of convicted felons to migrate to the colonies during the eighteenth century O The Transportation Act of 1718 The Criminal Colonization Act of 1718 O The Parliamentary Authority Act of 1718 None of the above

25 Handball Volleyball Torm 1 How many students do not like either Handball or Volleyball 2 How many students only like Handball 3 How many students like Handball 4 How many students like Handball or Volleyball 5 How many students do not like Handball 6 How many students only like Volleyball DI

Exponential growth and decay problems follow the model given by the equation A t Pert The model is a function of time t A t is the amount we have after time t P is the initial amount because for t 0 notice how A 0 Pe t Pe P r is the growth or decay rate It is positive for growth and negative for decay Growth and decay problems can deal with money interest compounded continuously bacteria growth radioactive decay population growth etc So A t can represent any of these depending on the problem Practice The growth of a certain bacteria population can be modeled by the function A t 850e0 0523 where A t is the number of bacteria and represents the time in minutes a What is the initial number of bacteria the nearest whole number of bacteria round to b What is the number of bacteria after 25 minutes round to the nearest whole number of bacteria c How long will it take for the number of bacteria to double your answer must be accurate to at least 3 decimal places

Suppose 9000 is invested at 5 interest compounded continuously How long will it take for the investment to grow to 18000 Use the model A t Pert and round your answer to the nearest hundredth of a year It will take years for the investment to reach 18000

Find the all solutions of this equation in the interval 0 2 2 sin x tan x tan x 0 0 Give your answers in radians Do not use decimal approximations Use pi to represent T X Use commas to separate your answers

Marla is running clockwise around a circular track She runs at a constant speed of 2 meters per second She takes 46 seconds to complete one lap of the track From her starting point it takes 12 seconds to reach the northernmost point of the track Impose a coordinate system with units in meters the center of the track at the origin and the northernmost point on the positive y axis Round your answers to two decimal places a Give Marla s coordinates at her starting point x y b Give Marla s coordinates when she has been running for 10 seconds x y c Give Marla s coordinates when she has been running for 902 3 seconds x y C MY N

DE Find the length of BF Round to the nearest tenth if necessary B 22 F 10 D E 11 C

In circle D with the measure of minor arc CE 30 find m CFE C E Answer m CFE F

In the diagram below quadrilateral F GHI is inscribed in circle J Solve for x and y F 94 X G I 76 J 6x 20 y y 18 H

Given the circle below with chords NO and PQ Find the length of QR Round to the nearest tenth if necessary N P 25 37 R 39 O

Convert the following angle to decimal degree notation 59 45 59 45 Round to two decimal places as 2

In the diagram below quadrilateral EFGH is inscribed in circle I Solve for x and y X E 81 5X 56 H y 111 F 4y 99 G

Find the measure of each angle 9x

What is usually the most expensive durable purchase a person will make a b d 6 Home Vehicle Education Food

If mJP 32 and m H 33 find mCY Answer mCY J Y P V H

No tax benefits Less privacy and more restrictions No control over rent increases Which of the following BEST completes the diagram O Advantages of renting an apartment Advantages of buying a home Disadvantages of renting an apartment

Insurance O Generic items Housing Which of the following BEST completes the diagram O Services O Major expenditures Food

If mKI 63 and m KAI 139 find mGL K L A I Answer mGL

Mr Petersen counted the number of coins collected by the students in his coin club and prepared the following line plot Collecting coins X XXXXXXXXX X X 1 2 3 No of coins collected Number of students who collected more than one coin is

de deficit or surplus 14 It is 6 00 P M in Cairo What time is it in London England

The following dot plot shows the number of songs on each album in Sal s collection Each dot represents a different album 6 7 00 00 8 The range of number of songs 6409 H G 10 11 12 13 Number of songs Total number of albums in Sal s collection 14 t 15 16

Below is a chart that shows how many books 3 students read during the summer Use the information to answer the questions that follow Addison 000 Mason Luke 0000 5 books Part A How many fewer books did Mason read than Luke fewer books Part B Ryan read twice as many books as Addison How many books did Ryan read books

Ms Jones has six types of flowers in her garden The bar graph below shows the number of each type of flowe FLOWERS IN GARDEN Number of Flowers SHREDSO 30 25 D 20 15 5 Roses Tulips Daisies Violets Type of Flower Based on the bar graph which sentence is true Ms Jones has 25 more tulips than pansies B Ms Jones has 10 more lilies than daisies Ms Jones has 5 more violets than lilies Ms Jones has 5 more roses than pansies Pansies Lilies

5 K 96 0 O 105 106 80 S F 168 96 6 W A 86 U W 95 85 Z

The line graph below shows the volume of water present in a tank that is being filled by a hose Use the line graph to answer Part A and Part B Volume of Water in a Tank Volume of Water L 300 200 100 2 3 4 Part A How long did it take to fill the tank with 250 liters of water It took minutes to fill the tank with 250 liters of water Part B Find the difference in the volume of water in the tank between the second and the sixth minute To

The histogram below shows the grade ranges for Mrs Granderson s class Student Scores on Test 4 Frequency 10 8 64 2 60 69 70 79 80 89 90 100 How many students earned an 80 or better on Test 4 There were students who earned an 80 or better on the test FACE V

art the following angle to decimal degree notation P 67 51 Round to two decimal places as 0

The box plot is a graphical way to evaluate the spread of a data set In particular it makes it easy to identify data points that are outliers those that appear to be aberrational Follow these steps to complete a box plot for the data in this exercise The sample that follows is a box plot for the data in another exercise 85 Part 1 of 3 50 133 Part 2 of 3 a Draw the boxplot for the given data Part 22 90 The table shows the annual number of homicides in Milwaukee for a 10 year period 114 118 72 130 74 110 129 123 121 124 are no is one Part 3 are two 95 are three 60 70 100 100 105 80 90 110 100 b What does the position of the box tell you about the data set The majority of the data values are on the low end of the distribution The majority of the data values are on the high end of the distribution The data values are fairly symmetrically distributed 10 110 115 18 120 000 00 120 130 125 140 130 D 150

nd the angle of least positive measure in degrees not equal to the given measure that is coterminal with A 211 The measure is Simplify your answer

Alicia took a survey and asked 30 people how important it is to recycle the plastic products The result of the survey is expressed in the form of people s opinion as shown below Use the result and construct a line plot corresponding to the result of survey People s opinion Number of people 1 Very important 2 Quite important 3 Somewhat important 4 Not at all important 8 4 9 2 5 Can t say The numbers underneath the number line in the line graph shown below represents the people s opinion 7

For the following structure which is proper symmetry or antisymmetry boundary condition can be used on the dashed line for simplifying the FE model using only its potion instead of the whole model 2h Ux 0 Uy 0 Ux 0 Uy is free Ux is free Uy 0 U is from Luic from a F F

A teacher asked 18 students how many books they read last summer The dot plot displays the data Each dot represents one student 0 1 2 The most frequent response was 0 1 2 3 A 4 5 Number of books 6 7 8 9 10

A zookeeper feeds the lions in the zoo daily during the week The line graph shows the amount of meat in kilograms fed to the lions on each day of the week Find the rate of change in the amount of meat fed to the lions between Thursday and Frida The change is the amount of meat from Thursday to Friday is kilograms of meat Meat fed on different days Na fed in kilegrams 72 70 GB GG M 0 Nanday AMPANTA dnesday AYPUNNE praday B

16 Find a formula for the partial sum Sy of 1 1 and show that the series diverges n 1 In Exercises 17 22 use the nth Term Divergence Test Theorem 4 to prove that the following series diverge 17 19 n 1 8 18 n 1 0 8 n 10n 12 n 1 n n 1 1 2 3 2 3 4 20 1 n 1 21 cos cos 2 1 2 cos 1

y k cle with the given center and point 1 Center 5 1 Point 3 6 OPEN ENDED QUESTION What s the radius on 1

Look at the bar chart of the distribution of Earth s fresh water Distribution of Earth s Water Fresh water 3 Saline oceans 97 B Earth s water Other 0 9 Ground water 30 1 Icecaps and Glaciers 68 7 Surface water 0 3 Freshwater Fresh surface water liquid Which of the following is supported by the information in the bar chart A Most surface water is in lakes The oceans contain all of Earth s water CRivers contain more water than swamps do Rivers 2 The water in glaciers is considered ground water Swamps 11 Lakes

11 Which vehicle is more fuel efficient A Fuel consumption is 7 2 L 100 km B Fuel consumption is 11 4 L 100 km How do you know

TO O 2 Let A 1 2 1 0 3 a Find A using the matrix similarity with a diagonal matrix D and the formu for the power of the diagonal matrices b Find any matrix B that is similar to the matrix A other than the diagonal matrix in part a

Ist 2 avoidable costs you can try to prevent when planning a longer drive and

Ten used trail bikes are randomly selected from a bike shop and the odometer reading of each in miles is recorded as follows 1908 101 657 1897 788 359 212 369 229 658 Send data to Excel Find the range variance and standard deviation Round the variance to one decimal place and the standard deviation to two decimal places if necessary Part 1 of 3 The range is 1807 miles Part 1 3 Part 2 of 3

In an evening statistics class the ages of 20 students are as follows 22 26 29 31 19 20 28 33 40 32 24 42 Part 1 of 3 a What is the percentile rank of 30 An age of 30 is equivalent to the 40th st nd rd percentile Part 1 3 38 30 Part 2 of 3 b What is the rank from the top of 30 An age of 30 has a rank of in this data set 43 44 34 39 35 23

3 Find the sum of each series a 2 6 18 118 098 b 90 84 78 24

Results for this submission Entered X 5 Answer Preview x 5 11 10 9 8 7 The answer above is NOT correct Result 6 incorrect X 5 1 point Express the graph below as an inequality 4 3 2 1 0 X 1 2 3 Your left endpoint is incorrect For greater than or equal to type For less than or equal to type Message 4 5 6 7 8 help inequalities 9 10 11

is tangent to circle P at point K Find the measure of ZJPK Note the figure may not be drawn to scale J 38 L P K

Consider the two data sets below Data set 1 Heights of all incoming U S Army recruits in February 2017 Heights of all kindergarten children in Florida Data set 2 Which data set would you expect to have the greater standard deviation You would expect data set Choose one to have the greater standard deviation

Previous Problem Problem List Next Problem 1 point Express the graph below as an inequality 11 18 9 8 7 6 5 4 3 2 1 8 1 2 3 4 5 For greater than or equal to type For less than or equal to type 6 X 7 8 9 help inequalities 10 11

14 It is 6 00 P M in Cairo What time is it in London England It is 72 C What is the equivalent temperature on the Fahrenheit scale

When you finish your budget you should have O money left over O more bills to pay O a zero balance O All of the choices