Basic Math Questions and Answers

How many students need to be in a class in order for at least two students to receive the same grade on an exam that is graded on a scale 0 to 40 points Your Answer

How many strings of length 7 can be formed from the letters a b c d and e that contain at least one e 16 384 78 125 40 320 61 741

The human arm can be modeled as follows The object of interest should be the bones in the lower arm forearm and hand considered a beam It interacts with an object held in your hand with the biceps muscle with the bone in the upper arm at its joint with the forearm and with the Earth Use the following steps to build the apparatus for the arm a Draw a syster Hint elbo de And w considering ald To do th for tre biceps tension e List the assumptions regarding objects interactions and processes in your procedure and design How could they affect the result f What are the possible sources of experimental uncertainty How can you minimize them Feel g Build the apparatus and note the reading on the biceps scale h Compare your predicted biceps tension with the measured reading ce

A bag contains 10 red balls 12 blue balls and 8 yellow balls What is the minimum number of balls that must be selected to assure that 5 blue balls are chosen 4

A steel wire 26 ft long is hanging vertically Neglecting the weight of the wire determine the largest value of P if the diameter is 0 15 in The stress is not to exceed 25 ksi and the total elongation is not to exceed 0 18 in Assume E 29 10 6 psi Express your answer in Ih

How many license plates can be made using either 3 uppercase English letters followed by 5 digits Your Answer

The formula S 16t is used to approximate the distance S in feet that an object falls freely from rest in t seconds The height of a building is 1150 feet How long would it take for an object to fall from the top Em The object would fall for seconds Simplify your answer Type an integer or a decimal rounded to the nearest tenth

jonometry Spring 2023 Sp23 MATH 1106 90 Tri 1 Points DETAILS Plot the point that has the given polar coordinates 47 7 3 2 Assignment 9 Polar Expressions Trigonometry S nomepage Nalbar Goney 0

nometry Spring 2023 Sp23 MATH 1106 90 Tri 1 Points r 8 DETAILS Convert the rectangular coordinates to polar coordin 32 32 Need Help Read It Assignt Watch It

rigonometry Spring 2023 Sp23 MATH 1106 90 Tri 4 1 Points DETAILS Plot the point that has the given polar coordinates 3 2 to Assignment 9 Polar Expressions Trigonometry S R 2

A try Spring 2023 Sp23 MATH 1106 90 Tri Points DETAILS lot the point that has the given polar coordinates 1 37 R 2 Webassign Homepage N ical College Assignment 9 Polar Expressions Trigonometry S A

nuts cherries s being chosen medium strawberry nuts medium strawberry cherries ce cream and cherries

At a local college c student and a fema Do not round your a

7 An ordinary fair die is a cube with and that the face values of the two

In 2015 88 of U S residents used the internet up from 14 in 1995 The table shows the percent who use the internet for selected years from 2000 and projected to 2025 Year Percent Year Percent 67 88 79 95 82 98 a Find the logarithmic function that models the percent p as a function of x the number of years after 1990 Report the model with 4 significant digit coefficients yu x What type of function is expected 2000 2005 2010 2015 2020 2025 b Visually determine whether this model is a good fit for the data o Yes this model is a reasonably good fit for the data No this model is not a good fit for the data at all Amazing jobl c Use the model to predict the percentage of internet users in the United States in 2023 Round your answer to one decimal place

A farmer plans to fence off three rectangular grazing fields along a straight river by building four sections of the fence perpendicular to the river and one parallel to it If the total area of the three sections is to be 6400 ft what length would the fence parallel to the river have to be in order to use the least amount of total fencing Carefully draw a picture to help with the set up 2x 4y P 24 4 140 P 2x 25600 25600X ZX 1 2 25600 2 X 0 27 z5 bcc 2 A XY 1400 XX 6400 X 7 CY

4 A soccer field is bordered on thre length of the field and parking lo of the field is 30 000 m How wide

7 Use elimination or substitution to solve the system of equations 2 y x 3x 16 y 9x 20 YX 20 x 3x 16 X 12x 36 0 x 6 x 6 0 X 6 Y 9X6 20 34 8 Graph and solve the system of equations 2 y x 2x 3 y x 1 X 6 Y 34

Let A and B be two events Suppose that P A 0 02 and P B 0 69 a Find P AorB given that A and B are mutually exclusive b Find P AorB given that A and B are independent a 6 X

a At a certain charity fundraiser some guests will be randomly selected to receive a gift The probability of receiving a gift is of receiving a gift 3 14 0 00 0 X 010 0 0 b A child has a box of candies which might have a toy inside The odds against the box having a toy are 17 2 toy to Find the odds in favor What is the probability of the box having a

If a rock has 1000 atoms of a parent and 3000 atoms of daughter product how many half lives have passed 1 half life 2 half lives 3 half lives 4 half lives there is no way to tell

Answer the questions below a A company has 40 s salespeople ranked in

There are your students running for president Ann Jessica Linda and Maria There are three students running for vice president John Bob and Jim The tree diagram below shows the possible outcomes Use the diagram to answer the questions President Vice President Ann Jessica Linda Maria VVV Outcome a How many outcomes are there outcome s John Bob Jim John Jessica John Bob Jessica Bob Jim Jessica Jim John Linda John Bob Linda Bob Jim Linda Jim John Maria John Bob Maria Bob Jim Maria Jim Ann John Ann Bob Ann Jim b How many outcomes have both Maria and John being chosen outcome s c How many outcomes have Jessica or Linda being chosen outcome s

8 What is the area of the parallelogram in square centimeters 6 2 cm 10 4 cm 6 2 cm 5 7 cm

Fill in the blanks below wit a John s house is about b The can of soda held a

der the grap equation y 2x 3 a Consider the two triangles created on the given line Describe the relationship between them How can you use transformations to verify the relationship between the triangles Use the similar triangles to determine the slope between any two points on the line 16 12 2 7 2 7 YA 16 12 2 1 4 5 24 8 12 16 4 11 8 12 16 4 5

1 Use a graphing tool or a table to find approximate solutions for the function y x 12x 2 2 The path of a thrown ball is modeled by the function h x 0 02x 0 6x 5 where x is the horizontal distance in feet from the starting point and his the height of the ball in feet About how far does the ball travel horizontally before it hits the ground Round your answer if needed bhool 3 What is the factored form of the function shown in the graph 2 2 6 y O 2 A 6 X

a Select one Which function has a period of De O f x tan 8x 8 f x 8 cos 4 x 2 O f x 4 sin 4x 8 O f x 2 sin 8x 8 estion 3 T 4

Select one 1 0 0 More on Trigonometric Functions Question 4 In which quadrant is the terminal side of radians located 01 O 11 I 43 2 1 Y IV O III 4 3 2 1 2 3 4 1 2 3 4 It is a quadrant angle located on an axis between two quadrants IV 3 4

Select one a More on Trigonometric Functions Question 7 3 What is the equivalent degree measure of 4 radians 01 O 45 De De O 34 O 135 O 90

De Select one 1 1 More on Trigonometric Functions Question 6 What is the phase shift of the function f x 3 sin 4x 2 1 1 O 2 N 2 O 4 O 2

Equations An exponential function contains the points 0 9 and 4 144 What is an exponential function that contains these points select one O 16 O 9 21 Question O 9 O it is impossible to tell from the given information

9 A teacher decides to curve the grades of a midterm exam He guarantees to give everyone an additional 6 of their scored mark to their final grade You scored a 67 on your midterm and was given a 73 after the curve was applied Did your teacher give you the correct amount of additional points Show mathematically

Amy has a bag with 8 balls numbered 1 through 8 She is playing a game of chance This game is this Amy chooses one ball from the bag at random She wins 1 if the number 1 is selected 2 if the number 2 is selected 5 if the number 3 is selected s6 if the number 4 is selected ss if the number 5 is selected and 10 if the number 6 is selected She loses 16 if 7 or 8 is selected If necessary consult a list of formulas a Find the expected value of playing the game dollars b What can Amy expect in the long run after playing the game many times She replaces the ball in the bag each time O Amy can expect to gain money She can expect to win dollars per selection O Amy can expect to lose money She can expect to lose dollars per selection O Amy can expect to break even neither gain nor lose money EBEN

6 After asking a magical dragon to make you the most powerful person in the universe he warns you that granting this wish will reduce your lifespan by half You are unphased by these conditions and agree to its terms After the wish is granted you use a magical stone to increase your lifespan by 50 You believe you have been granted infinite power without penalty Are you correct in your thinking Explain your answer mathematically

K Solve the equation by the method of your choice x 6x 10 question The solution set is Simplify your answer Type an exact answer using radicals and i as needed Use integers or fractions for any numbers in answers as needed

Solve the quadratic equation by the square root property 3x 27 The solution set is Simplify your answers Type exact answers using radicals as needed Use a comma to separate answers

9 Describe what is involved in planning an estate

4 Explain options for personal retirement plans such as traditional IRA Roth IRA or Spousal IRA

5 Discuss retirement plan options for those who are self employed such as a SEP IRA Solo 401 k SIMPL IRA Keogh plan or annuity

2 Describe various employer sponsored retirement plans such as a defined benefit plan or defined contribution plans like the 401 k 403 b and 457 plans

he developing economies share of the global gross domestic product GDP from 2003 to 2017 is shown in the following table Share Year of GDP 2003 20 2004 22 2005 23 2006 27 2007 28 2008 31 2009 31 2010 33 Need Help Share Year of GDP 2011 2012 2013 2014 2015 2016 2017 a Find the quadratic function that best models the developing economies share of the global GDP as a function of the number of years after 2000 Round all numerical values to f places 35 38 39 40 41 42 43 b Use technology to find the maximum share of GDP that the developing economies can achieve according to this model Round your answer to one decimal place The model predicts that in the yea Select developing economies reach their maximum share of the GDP 2005 2010 Read

SS than a What is the probability that the sample proportion of tax returns for which not age was pai Round the answer to at least four decimal places The probability that the sample proportion of tax returns for which no tax was paid is less than 0 29 is Part 2 of 4 Part 3 of 4 X b What is the probability that the sample proportion of tax returns for which no tax was paid is between 0 37 and 0 44 Round the answer to at least four decimal places The probability that the sample proporti of tax returns for which no tax was is between 0 37 and 0 44 is Part 4 of 4 3 X c What is the probability that the sample proportion of tax returns for which no tax was paid is greater than 0 32 Round the answer to at least four decimal places The probability that the sample proportion of tax returns for which no tax was paid is greater than 0 32 is X S d Using a cutoff of 0 05 would it be unusual if the sample proportion of tax returns for which no tax was paid was less than 0 28 Since the probability 0 1149 is Choose one the cutoff 0 05 it Choose one be unusual if the sample proportion of tax returns for which no tax was paid was less than 0 28

In 1997 Fuller and coworkers at Texas A M University estimated the operating costs of cotton gin plants of various sizes The operating costs of the next to the smallest plant is shown in the following table 2000 4000 6000 8000 10000 12000 y 163 200 230 480 301 500 376 160 454 400 536 400 Here x is the annual number of bales produced and y is the dollar total cost Use 4 decimal places in your answer A Determine the best fitting line using least squares Also determine the square of the correlation coefficient The best fitting line is C x The square of the correlation coefficient is B The study noted that revenue was 63 25 per bale At what level of production will this plant break even The revenue equation is R x The profit equation is P x The production will break even when bales are produced C What are the profits or losses when production is 3000 bales 4000 bales Round to the nearest cent When 3000 bales are produced the ain xperiences a lors profit off When 1000

Read the excerpt and determine what theme is evident in the text She stood straight and faced him Doesn t the gun scare you he said still pointing it No sir I seen plenty go off closer by in my day and for less than what I done she said holding utterly still He smiled and shouldered the gun Well Granny he said you must be a hundred years old and scared of nothing I d give you a dime if I had any money with me But you take my advice and stay home and nothing will happen to you I bound to go on my way mister said Phoenix She inclined her head in the red rag Then they went in different directions but she could hear the gun shooting again and again over the hill Ohumanity Obrotherhood Phoenix racism

Dean made a statistical estimation of the cost output relationship for a shoe store The data for the firm is given in the following table 4 57 9 10 15 20 33 50 y3 3 3 3 4 3 5 4 5 5 5 7 5 12 Here x is the output in thousands of pairs of shoes and y is the cost in thousands of dollars Use 4 decimal places A Determine the best fitting line using least squares S x 2 B Determine the best fitting quadratic using the least squares and the square of the correlation coefficient S x

There are multiple themes evident in A Worn Path Read the following excerpt determine the theme evident in the text Phoenix spoke unasked now No missy he not dead he just the same Every little while his throat begin to close up again and he not able to swallow He not get his breath He not able to help himself So the time come around and I go on another trip for the soothing medicine All right The doctor said as long as you came to get it you could have it said the nurse But it s an obstinate case My little grandson he sit up there in the house all wrapped up waiting by himself Phoenix went on We is the only two left in the world He suffer and it don t seem to put him back at all He got a sweet look He going to last He wear a little patch quilt and peep out holding his mouth open like a little bird I remembers so plain now I not going to forget him again no the whole enduring time I could tell him from all the others in creation Freedom Racism Hardship Duty and responsibility

Depreciation Table 2 gives the market value of a luxury sedan in dollars x years after its purchase Use 4 decimal places in all answers Table 2 Luxury Sedan s Value Value 5 123 125 B What is 2 2 2 19 050 3 15 625 4 11 875 5 9 450 67 125 A What exponential equation V x best fits the data where x is the number of years after purchase and V x is value of the vehicle after x years V x C Use the equation to estimate the purchase price of the vehicle and the value of the vehicle after 10 years Round to the nearest cent The purchase price of the vehicle after 10 years will be D Use the equation to estimate how old a luxury sedan valued at 12 000 is Round to the nearest year The luxury sedan should be about years old

How is the name of the central character significant in the narrative The phoenix is an immortal bird associated with Greek mythology that cyclically regenerates or is otherwise born again The grandson does this everyday The phoenix is an immortal bird associated with Greek mythology that cyclically regenerates or is otherwise born again The central character demonstrates this by repeating an arduous journey The phoenix is an immortal bird associated with Greek mythology that cyclically regenerates or is otherwise born again The nurse does this for each one of her patients The phoenix is an immortal bird associated with Greek mythology that cyclically regenerates or is otherwise born again The hunter does this everyday when he bunto

Choose the words or phrases that provide imagery and a sensory experience for the reader It was December a bright frozen day in the early morning Far out in the country there was an old Negro woman with her head tied in a red rag coming along a path through the pinewoods Her name was Phoenix Jackson She was very old and small and she walked slowly in the dark pine shadows moving a little from side to side in her steps with the balanced heaviness and lightness of a pendulum in a grandfather clock She carried a thin small cane made from an umbrella and with this she kept tapping the frozen earth in front of her This made a grave and persistent noise in the still air that seemed meditative like the chirping of a solitary little bird O in front of her made a grave meditative and slowly Phoenix pine a little steps kept persistent sill and air country woman head very and walked frozen red old small grandfather clock tapping chirping and bird