Basic Math Questions and Answers

8 Does the linear function g x 6x 5 intersect the quadratic function 2x 3x 2 How can you tell If it does intersect determine t point s of intersection

9 Determine the equation in standard form of the parabola shown below N 4 M 8

Determine the maximum area of a rectangular field that can be enclosed 2400 m of fencing

Consider the quadratic function f x 4 x 2 x 6 a State the direction of opening and the zeros of the function b Determine the coordinates of the vertex c State the domain and range d Graph the function

7 Calculate the value of such that kx 4x k 0 has one root 8 Does the linear function g x 6x 5 intersect the quadratic function

1 Consider the quadratic function f x 3 x 2 5 a State the direction of opening the vertex and the axis of symmetry b State the domain and range c Graph the function

1 The table shows the number of athletes in sports at a school in the fall No students belong in more than one of the groups shown Complete the table 2 What percentage of JV athletes play soccer What percentage of JV athletes are in cross country Round to the nearest percent Soccer Cross country Totals 22 32 24 JV Varsity 18 Totals 3 What percentage of the athletes are in cross country What percentage of the athletes are varsity athletes Round to the nearest percent 4 There are 5 red files and 5 blue files with the letter A in a bag There are also 6 red tiles and 4 blue files with the letter B in the bag What is the probability that a randomly selected tile is blue or has the letter B 5 On a track and field team 8 of the members run only long distance 32 compete only in field events and 12 are sprinters only The remaining 48 compete in more than one category Find the probability that a randomly selected team member runs only long distance or competes only in field events

Find the volume and surface area of the equilateral triangle based pyramid The slant height of the pyramid is 4 6m 3 7 m SA 25 62 V 4 25 V 6 41 OSA 13 91 V 5 96 3 02 m 3 20 m

Code the Bisection Algorithm you may use the one provided in class Find an approx imation to 3 with with a 10 5 tolerance using the Bisection Algorithm on the interval 0 4 how many iterations did your algorithm take to achieve the required accuracy Hint consider f 2 r 3 You may use your Bisection method code to solve this problem on the computer directly without showing your work Please attached your code

Find the surface area and volume of the given shape Find the volume and surface area of the right triangular based pyramid given the diagram below and the slant height is 7 mi 3 mi 4 mi A SA 48 SA 53 V 6 V 8 SA 43 V 12 5 mi 4 mi

Unit 6 Mini QPA 2 1 A bag contains 7 marbles one each of red orange yellow green blue violet and white A child randomly pulls 4 marbles from the bag What is the probability that the marbles chosen are green blue red and yellow 2 A game at the fair involves balls numbered 1 to 18 You can win a prize if you correctly choose the 5 numbers that are randomly drawn What are your chances of winning 3 Serena has a playlist of her 10 favorite songs She plays 2 randomly selected songs What is the probability that she hears her favorite song first and her next favorite second 4 A file is chosen randomly from a bag containing the following tiles 7 blue 3 green 5 purple and 6 yellow Let P be the probability distribution defined on the set blue green purple yellow Write each probability rounded to the nearest hundredth P blue P green P purple P yellow

Convert the equation x y 25 0 to polar form Then solve the resulting equation for r y cos 010 J 0 0 sin cot

Exit pre test 14 The power factor in a resistive circuit is expressed mathematically as the effective power the RMS power O plus minus O multiplied by O divided by

Write each complex number in standard or rectangular form Give exact values in your answers not decimal approximations a Your answer is incorrect a 2 2 005 5 t COS i sin b 7 co 5 5x cos 90 i sin 90 7i

Plot the complex numbers 5 i and 3 in the complex plane 6 Im Re 8 X

Plot the complex numbers 7 i and 3 6i in the complex plane 00 P 1969 4 2 19 n Im Re 8 X

Convert the equation x 1 to polar form Then solve the resulting equation for r r 0 6 3 8 0 0 3 C sin

The sum of the bases and the height of a trapezoid are 10 yards and 8 yards respectively Find the area of the trapezoid

W T Area 1 X U VX 18 in VW 10 in

Find the area of the triangle whose base is 26 feet and height is 37 feet

If the side of a square measures 12 inches determine the area of the square

The tourist walked 5 21 part on the first day and 3 5 part of the distance traveled on the first day What is the length of the entire road if he walked 12 km on the second day

K Fill in the blank with an appropriate word A metric tonne is the unit used to express the A metric tonne is the unit used to express th

Given a segment with endpoints A 3 7 and B 3 8 Find the coordinates of point C AC 3 between A and B so that the ratio CB 2

10 of the correct value This may be due to roundoff error or you could have a mistake in your calculation Carry out all intermediate res 662 5 1x 10 of the correct value This may be due to roundoff error or you could have a mistake in your calculation Carry out all intermediate res x 762 5 10 of the correct value This may be due to roundoff error or you could have a mistake in your calculation Carry out all intermediate res 862 5 x 10 of the correct value This may be due to roundoff error or you could have a mistake in your calculation Carry out all intermediate res 962 5 x 10 of the correct value This may be due to roundoff error or you could have a mistake in your calculation Carry out all intermediate res 1062 5 x 10 of the correct value This may be due to roundoff error or you could have a mistake in your calculation Carry out all intermediate res 1x 1125 10 of the correct value This may be due to roundoff error or you could have a mistake in your calculation Carry out all intermediate res ulation Carry out all intermediate results to at least four digit accuracy to minimize roundoff error ft

An arterial road is to be connected to a frontage road by a reverse curve with parallel tangents The distance between the centerline of the two tangent sections is 85 ft The PC of the curve is located at station 38 25 31 and the central angle of each of the component curves is 46 degrees Determine the station of the PT Enter your first answer exactly Your response differs from the correct answer by more than 100 x Your response differs from the correct answer by more than 10 Double check your calculations

A function f t defined on an interval 0 t L is given Find the Fourier cosine and sine series of f and sketch the graphs of the two extensions of f to which these two series converge f t 21 0 t 3 12 2t 3 t 6 Type the first four non zero terms of the Fourier cosine series of f f t

The maximum grade allowed between two stations in a rapid transit rail system is 3 5 Between station A and 1 station B which are 260 ft apart the tracks rise 7 ft What is the grade of the tracks between these two stati Round the answer to the nearest tenth of a percent Does this grade meet the rapid transit rail standards The grade of the tracks between station A and station B is Type an integer or decimal rounded to the nearest tenth as needed

A company has 57360 to spend on the development and promotion of a new product The company estimates that if x s spent on development and y is spent on promotion then approximately x 12 y 5 2 200000 items of new product will be old Based on this estimate how much should the company spend on development so the maximum number

A shipment contains 11 igneous 9 sedimentary and 9 metamorphic rocks If 6 rocks are selected at random find the probability that exactly 4 are sedimentary The probability that exactly 4 of the rocks are sedimentary is Round to four decimal places as needed

A restaurant frequently offers a special prix foxe meal and has been charging 180 per person for the event At that price they ve been averaging 20 customers each time Their marketing firm has convinced them that they ll gain a customer for every dollar they lower the cost of the event and conversely lose a customer for every dollar they raise the cost Their fixed cost per event is 1500 and preparing each customer s meal costs an additional 40 What are the break even points in terms of customers served Write the exact answer Do not round Separate multiple answers with a comma Answer Keypad Keyboard Shortcuts

How long does it take for 600 to double if it is invested at 2 interest compounded monthly The money will double in value in approximately years Round to the nearest tenth as needed

241 Sandra is a 25 year old woman who weighs 120 lb She burns 300 50t cal hr while walking on her treadmill Her caloric intake from drinking Gatorade is 100t calories during the tth hour What is her net decrease in calories after walking for 3 hours

2 Write a set of step by step instructions to form an algorithm for converting an inefficien network into an efficient network

Angelina believes the proportion of current population of engineering students who do not own a calculator is lower She randomly selects 55 students and finds that 6 of them do not own a calculator She uses a significance level of a 0 05 and calculates a p value of 0 198 What null and alternative hypothesis did Angelina use for this test and what conclusion can she make 3 1 point O Ho p 0 15 H p 0 15 Angelina fails to reject the null hypothesis because the p value is greater than the significance level O Ho p 0 15 H p 0 15 Angelina rejects the null hypothesis because the p value is greater than the significance level OH p 0 15 H p 0 15 Angelina rejects the null hypothesis because the p value is greater than the significance level OH 0 15 H H 0 15 alue is greater than the significance level

Valentine s Day gift boxes that cost 10 75 and sell for 16 00 In the past at least 40 boxes have been sold by Valentine s Day but the actual amount is uncertain owner has often run short or made too many After the holiday any unsold boxes are discounted 50 and are eventually sold Set up and run a Monte Carlo simulation assuming that demand is triange nimum value 40 maximum value 50 and most likely value 47 Find the distribution of profit for order quantities between 40 and 50 to identify the best order quantity Use 20 simulation trials Click the icon to view a sample of 220 simulation trial results y the values of the selling price cost and discount price are entered in cells B6 B7 and B8 respectively and the demand purchase quantity quantity sold and surplus quantity are entered in cells B12 3 B15 and B16 respectively Then for the Monte Carlo simulation the quantity sold is BB the surplus quantity is and the profit is B B 15 B B16 BB13 B pe whole numbers Use ascending order Simulation Results 43 44 45 46 47 48 49 50 40 41 42 210 00 215 25 220 50 225 75 231 00 236 25 241 50 230 75 236 00 249 25 246 50 210 00 215 25 220 50 225 75 215 00 236 25 225 50 238 75 196 00 233 25 214 50 210 00 215 25 220 50 225 75 231 00 236 25 241 50 206 75 244 00 241 25 214 50 210 00 215 25 220 50 225 75 231 00 236 25 241 50 206 75 244 00 225 25 230 50 210 00 215 25 220 50 225 75 207 00 212 25 217 50 214 75 244 00 225 25 190 50 210 00 215 25 220 50 225 75 223 00 236 25 225 50 238 75 236 00 249 25 230 50 210 00 215 25 220 50 225 75 231 00 236 25 241 50 238 75 252 00 209 25 222 50 210 00 215 25 220 50 225 75 231 00 236 25 209 50 238 75 244 00 257 25 257 25 222 50 210 00 215 25 220 50 225 75 231 00 236 25 241 50 230 75 204 00 233 25 190 50 210 00 215 25 220 50 225 75 231 00 212 25 241 50 230 75 236 00 257 25 222 50 210 00 215 25 220 50 225 75 231 00 236 25 241 50 198 75 244 00 201 25 206 50 210 00 215 25 220 50 225 75 231 00 236 25 217 50 238 75 244 00 257 25 206 50 210 00 215 25 220 50 225 75 231 00 236 25 201 50 246 75 244 00 233 25 206 50 210 00 215 25 220 50 225 75 231 00 236 25 241 50 222 75 220 00 241 25 198 50 210 00 215 25 220 50 225 75 231 00 236 25 225 50 238 75 228 00 233 25 214 50 210 00 215 25 220 50 225 75 6034 00 hs 0000 or n X

6 A 25 8 Find the chromatic number of the graph and color the graph using the least num of colors

7 20 pts A machine that dispenses 12 3 ounces of be that the amounts of beverag the bottle contains a more than 12 5 ounce

Preferred stockholders claims to a corporation s assets take precedence over the claims of some creditors True or False True False

A biologist has a 4491 gram sample of a radioactive substance Find the mass of the sample after five hours if it decreases according to a continuous exponential decay model at a relative rate of 12 per hour Do not round any intermediate computations and round your answer to the nearest tenth

nework Suppose that the pairwise comparison method Num is used on the following preference table If the First five voters who voted A C B D in that order Seco change their votes to C D A B is the monotonicity criterion satisfied Explain Thir Fou Choose the correct answer below

A man gets a job with a salary of 37300 dollars a year He is promised a 2330 dollars raise each subsequent year His total earning for a 8 year period is dollars

Fractions Operations Score ADV M B AB U Show your work on the back 4 1 Hirva ate 5 8 of a medium pizza Elizabeth ate 1 4 of the pizza How much pizza did they eat altogether A 2 4 B 6 12 C 6 8 D 7 8 2 Natalia picked 7 1 6 bushels of apples today and 4 5 8 bushels yesterday How many more bushels did she pick today D 1 6 12 bushels A 3 4 24 bushels B 2 13 24 bushels C 2 4 8 bushels 3 Sierra spent 2 3 of her earnings on clothes and 1 5 on school supplies She saved the rest What fraction of her earnings did she save 4 Noah made 1 1 2 dozen blueberry muffins and 1 3 4 dozen lemon muffins He needs to take 5 dozen muffins to the bake sale How many dozen more muffins does he need to bake 5 In gym class Ted runs 4 5 mile His teacher runs 6 times that distance each day How many miles does Ted s teacher run each day A 5 24 miles B 3 1 3 miles D 7 1 2 miles C 4 4 5 miles 6 Tina has 3 5 pound of rice She will use 2 3 of it to make fried rice for her family How much rice will Tina use to make fried rice D 1 3 pound A 5 8 pound B 3 5 pound C 2 5 pound 7 Yesterday Annie walked 9 10 mile to her friend s house Together they walked 1 3 mile to the library Which is the best estimate for how far Annie walked yesterday A about 1 2 mile B about 1 mile C about 1 1 2 miles D about 2 miles 8 Suppose you multiply a whole number greater than 1 by the fraction 3 5 Which statement below will be true C The product will be less than 3 5 B The product will be greater than 3 5 A The product will be equal to 3 5 9 Bill s living room floor is covered with carpet tiles Each tile is 1 B 2 9 10 square feet area of one tile A 2 3 10 square feet 1 2 feet long by 2 3 5 feet wide What is the C 3 9 10 square feet D 4 1 10 square feet 10 Julia has 12 pieces of fabric and cuts each piece into fourths How many 1 4 pieces of fabric does she have 11 Which of the following multiplication sentences can you use to help you find the quotient 6 1 4 D 24 x 1 4 6 A 6 x 1 4 6 4 B 1 6 x 4 4 6 C 1 6 x 1 4 1 24 12 Ten students share 8 pieces of poster board equally What fraction of a piece of poster board does each C 4 5 D 5 9 B 1 1 4 student get A 1 4 5 13 Which situation can be represented by 4 1 2 A Riley has a piece of wire that is 1 2 yard long He cuts it into fourths How long is each piece of wire B Riley has a piece of wire that is 4 yards long He cuts it into pieces that are 1 2 yard long How many pieces of deor Riley have

Convert the given Fahre 9 F C 32 where F is 21 F

4 5 6 9 13 14 14 14 15 Find the MEAN or AVERAGE Round to the tenths place

For Problems 7 11 determine a the cost of the bond b the annual interest and c the annual yield 7 Celinda Vasquez purchases a McDonald 10 000 bond at 99 2 that pays 4 5 interest 8 Giuseppe Caviness purchases an Internet Inc 100 000 bond at 102 25 that pays 3 5 interest DOM 50 000 band at a

a quoted price of 105 7 The bond pays annual interest at a rate of 5 11 Lloyd Zion purchased an ITT 80 000 corporate bond at a quoted price of 96 622 The bond pays annual interest at a rate of 3 65 fforing 5 000

Express the confidence interval 0 222 p 0 444 in the form p p E t

o is the initial velocity no is the initial height 00 D Question 3 A soccer ball is kicked across a field at an angle of 60 with an initial speed of 69 ft s Determine how far the soccer ball traveled in the air O 128ft O 212ft 2 pts

As part of a related research study the researcher obtains information from college student athletes Specifically the researcher asks whether the student athlete s sport is currently in season or out of season and whether they have had any alcohol or have not had alcohol in the past 2 weeks Use output below to answer the following questions Row Labels No Alcohol Use Used Alcohol at least 1 time Grand Total No Alcohol Alcohol at least 1 time Marginal Column Totals Question 41 The chi square statistic is 26 2682 The P value is 0 The contingency table below provides the following information the observed cell totals the expected cell totals and the chi square statistic for each cell Out of Season In Season Grand Total 1801 1281 3082 1 346 Question 42 717 629 1346 Out of Season 717 786 55 16 15 629 559 45 865 1346 1084 652 1736 In Season 1084 1014 45 14 77 652 721 55 87 1736 How many out of season student athletes completed the survey Marginal Row Totals 1801 1281 3082 Grand Total 2 2 pts 2 2 pts How many out of season student athletes did not have alcohol in the past 30 days