Basic Math Questions and Answers

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OOO Which of the following statements is are TRUE i The first smallest group of Southern Republicans African Americans gained voting rights as a result of the Fourteenth Amendment ii Although many former slaves could neither read nor write and were politically inexperienced they were eager to exercise their voting rights iii Few scalawags shared the Republican ideals of civil rights and suffrage for African Americans O Statements I and II O Statements II and III O Statements I only Statements I and III

Determine whether 47 is rational irrational or not a real number Evaluate the radical if it is rational If the radical is irrational approximate the radical rounded to two decime places Is 47 rational irrational or not a real number irrational rational not a real number CO

Factor the polynomial completely w 3 w 3 w 2 w 3 w 3 w 3 w 2 w 3 11 7 Type your answer in factored form

3 Find all complex roots of x 2x 19x 20 0 3

3 4 Find all complex roots of x 2x 9x 18 0

2 Use synthetic division to divide 2x 3x 2x 8x 1 by x 1

2016 K ut a Software LLC Dividing Polynomials Divide 1 2r 7r 12 r 3 A II 3 x 16x 67x 63x 70 x 10 4 6 3 10 3r 2 x 1 rights Name re served Date 2 n 5n 10n 6 n 1 4 v 9v 8v 17v 10 v 2 6 k4 9k 24k 20k 11 k 4 Period

11 b 76 17b 7b 19 b 2 13 x 4x 11x 17 x 2 12 b 206 93b 71b 16 b 10 I 14 m 5m 10m 42m 39 m 5

1 Compare using GF 9 90 0 6 500 6 2 tone 3 tenthe I thousandth 6 10 2 100 3 0 237 20 41 2 9 6x 1000 0 360 og fort 1 3 6 TO 27 2 Model the number 5 55 on the place value chart LIST a Use words numbers and your model to explain why each of the digits has a different value te soet use ten times as large and one tenth as farge in your explanation

Explain your reasoning I think the large Square because theres 5 you can Cut it up into 8 peces 2 of 2 Draw three different quadrilaterals each with an area of 12 square units

Calculate the infinity norm of the matrix 013 A 1 2 1 231 The infinity norm of A is fill in blank

Solve the equation 2z 6 10z 2 for z

145 150 Deep in murky darkness his miserable End as hell opened to receive him Then old and young rejoiced turned back From that happy pilgrimage mounted their hard hooved Horses high spirited stallions and rode them Slowly toward Herot again retelling Beowulf s bravery as they jogged along And over and over they swore that nowhere On earth or under the spreading sky Or between the seas neither south nor north Was there a warrior worthier to rule over men But no one meant Beowulf s praise to belittle Hrothgar their kind and gracious king ANALYZE Re read lines 137 142 Circle the imagery describing the lake Grendel vanished Into How does this imagery help convey the Anglo Saxons idea of hell7 Grade 9 10 Review

A magazine subscription costs 29 88 for 12 issues or 15 24 for 6 issues Which subscription costs more p issue

Social desirability bias occurs when respondents give answers to questions that they believe will make them look good to others concealing their true opinions or experiences This is more likely to descirbe the issue brought by a most hard core Trump supporters are not particpating in the polls b shy Trump voters c polls failed to reach out to sufficent number of Republican voters d Democratic voters are more likely to mail in responses

Twelve butterflies were measured to the nearest eighth of an inch Their lengths are shown on this line plot H H 1 1 1 2 2 2 1 2 3 What is the difference in length between the longest and shortest butterflies

1 Translate triangle ABC by the directed line segment from A to C B M AC A a What is the relationship between line segment BC and line segment B C Explain your reasoning 2240 15 BY Besare b How does the length of segment BC compare to the length of segment B C Explain yo reasoning

Real GDP per capita in the country of Arcadia grew from about 4 102 in 1900 to about 47 521 in 2008 which represents an annual growth rate of 2 29 percent If Arcadia continues to grow at this rate calculate the number of years when its real GDP per capita will double years Enter your response as an integer

Express the following statement in interval notation Starting annual salary at a position is anything from 35 000 to 53 000 depending upon experience O The statement cannot be expressed in interval notation O 35 000 53 000 O 35 000 53 000 O 35 000 53 000 O 35 000 53 000

5 1 66 points Check my work mode This shows what is correct or incorrect for the work you have completed so far It does not indicate completion Use the following information to compute profit margin for each separate company a through e Note Round your answers to 1 decimal place Company 8 b C d e Answer is complete but not entirely correct Profit Margin Net Income S 5 312 83 929 86 614 72 271 71 900 Company a Company b Company co Net Sales 41 180 366 502 234 726 1 338 350 399 446 0 1 X 0 2 X 0 4 0 1 X 0 2 Which of the five companies is the most profitable according to the profit margin ratio Return to question

6 7 pints eBook Hint Print References a Calculate the current ratio for each of the following competing companies Note Round your answers to 2 decimal places Edison MAXT Chatter TRU Gleeson Current Assets O TRU Edison MAXT Chatter Current Liabilities Gloocon 84 000 111 720 47 376 90 972 64 596 b Which competitor is in the best position to pay its short term obligations 42 640 102 737 65 887 110 740 135 495 Current Ratio

5 1 66 points eBook Hint Print References Use the following information to compute profit margin for each separate company a through e Note Round your answers to 1 decimal place Company a b C d e Net Income O Company a O Company b O Company c O Company d O Company e Net Sales 5 312 83 929 86 614 72 271 71 900 41 180 366 502 234 726 1 338 350 399 446 Profit Margin Which of the five companies is the most profitable according to the profit margin ratio

A business uses straight line depreciation to determine the valuo y of a piece of machinery over a 10 year period Suppose the original value w by 4500 each year Write the linear equation that models the value y of this machinery at the end of year t The linear equation modols the valuo y of the machinery at the end of year t Type an equation Do not factor

The average classroom teacher s salary is given by f x 984 06x 32 906 82 where x is the number of years from 1990 a What inputs correspond to the years 1990 2005 O 0 through 10 OA b What outputs correspond to the inputs determined for 1990 and 2005 The output that corresponds to the input determined for 1990 is The output that corresponds to the input determined for 2005 is c Use the answers to parts a and b and the fact that the function increases to find an appropriate viewing window and graph this funeso 50 000 105 869 G OB O 90 through 105 5 000 Q Q O C 50 000 One 15

Describe the following graph Your description should include each of the six categories On which interval s is the function increasing Select the correct choice below and if necessary fill in the answer box to complete your choice OA Type an inequality Use a comma to separate answers as needed OB There is no interval on which the function is increasing 10 k 10 x

The table shown at the right gives y as a function of x that is y f x Use the table to answer parts a through d below X y f x O output O input c State the domain of this function 7 a Is 5 an input or an output of this function b Is f 5 an input or an output of this function c State the domain and range of this function d Explain why this relationship describes y as a function of x 5 State the range of this function 3 6 5 4 2 7 a Is 5 an input or an output of this function Choose the correct answer below O input O output b Is f 5 an input or an output of this function Choose the correct answer below 14 17 23 9 15 OA The domain is a finito set of elements The domain is Use a comma to separate answers as needed OB The domain is an interval The domain is Type your answer in interval notation OA The range is an interval The range is Type your answer in interval notation B The range is a finite set of elements The range is Use a comma to separate answers as needed

The marriage rate per 1000 population for the years 1987 2009 is given by M x 0 152x 17 074 whore x is the number of years after 1980 a Why is this a linear function with y M x b What is the slope What does this slopo say about the number of unmarried women who got married a Choose the correct answer below OA This a linear function because x and y are not in separate terms OB This a linear function because y is alone on the left side of the equation CELO OC This a linear function because x and y appear to the second power OD This a linear function because each of the variables x and y appear to the first power and it is written in the form y ax b b What is the slope Type an integer or a decimal What does this slopo say about the number of unmarried women who got marriod Choose the correct answer below OA It increased at a rate of 17 074 per thousand per year OB It increased at a rate of 0 152 per thousand per year OC It decreased at a rate of 0 152 per thousand per year 17 074 per thousand per year

1 190 290 390 490 590 a 5 3 77 105 133 161 189 a 5 13 3 24 a d d 7 41 17 12 24 6 d 2 6 11 10 29 6 3 6 3 6 a 5 a 4 3 27 75 147 243 d a mym d 101 42 17 76 135 d

The following figure gives the number of millions of homes using the Inte answer the following Click the icon to see the data table a How many homes used the Internet during 2000 The number of internet users during 2000 was million b Find f 2008 and explain its meaning OA 46 3 46 3 million homes in the country used the Internet in 2008 OB 37 5 37 5 million homes in the country used the Internet in 2008 OC 24 9 24 9 million homes in the country used the Internet in 2008 O D 69 0 69 million homes in the country used the Internet in 2008 c In what year did 22 million homes use the Internet 22 million homes in the country used the Internet in d Is this function increasing or decreasing What do you think has happ OA Decreasing it has decreased rapidly OB Increasing it has increased rapidly Data table 85 80 75 70 65 60 55 50 45 40 35 30 25 20 15 10 5 i 6 4 1996 11 6 22 0 24 9 37 5 46 3 1997 1998 1999 2000 2001 Print 47 5 6 2003 201 Done

Using the graph of y f x to the right and given that the zero of the function is x 20 find the following a the x intercopt of the graph of y f x b the solution to the equation f x 0 a The x intercept of the graph is x b The solution to the equation f x 0 is x 10

An average score of 90 for 5 exams is needed for a final grade of A John s first 4 exam grades are 79 89 97 and 95 Determine the grade needed on the OA 100 OB 85 OC 95 OD 90

Find the domain and range for the function a 6 5 3 2 14 5 6 X Q

Solve 3M M for M Simplify your answer Use integers or fractions for any numbers in the expressi

Solve the equation 4 y 4 5 y 3 OA y 1 OB y 31 OC y 1 OD y 31

3 Samantha is training for a race The distances of her training runs form an arithmetic sequence She runs 1 mi the first day and 2 ml the seventh day A What is the explicit definition for this sequence I

Find the domain of the function y 3 8 2x 10 O A 5 00 OB All real numbers except 5 OC 5 OD All real numbers except 5

Find the domain of the function y 3 x OA 3 OB 0 co O C 00 00 OD 3 00

Pick the correct answer based on the information presented in this image 500 Black lines 1 and 2 are G O A Coplanar are in the same plane O B Perpendicular and endpoint connected to each other O C Perpendicular and line 2 is point on connected to line 1 OD A and C are correct E None are correct 11 12

Why might Okonkwo take issue with his son s laziness in Things Fall Apart E Q C Okonkwo is trying to distance O himself from his father who was known as lazy Okonkwo is afraid the family O will starve if his son does not work Okonkwo is afraid that his son will make him lazy too Okonkwo is afraid that his other children will follow his son

A household has a 6m x 8m brick wall with a thickness of 25cm and a thermal conductivity of 0 69 W m C During the winter the temperature of the air inside the house is 25 C and the average outdoor air temperature is 4 C Determine the rate of heat transfer through the wall in W Choose nearest value A 2082 W B 2782 W C 3782 W D 4782 W

An exposed 8 cm external diameter 20 m long hot water pipe at 80 C is losing heat to the surrounding outdoor air by natural convection The average outdoor temperature is 5 C The heat transfer coefficient is 25 W m2 C What is the heat loss by natural convection in kW A 9 4 W B 10 0 W C 10 4 W D 11 4 W

A concentrating solar power collector system provides energy by heat transfer heat input to a power cycle a rate of 3 MW The cycle thermal efficiency defined as the ratio of work output to the heat input is 32 What is the work output in MWh for 4380 hours of steady state operation Note that the work is valued at 0 08 kWh A 336 MWh B 4 205 MWh C 13 140 MWh D 41 063 MWh

Without expanding prove that the value of each of the following determinant is zero 9 6 6 5 C e f 1 h 3 7 2 b c b c a C a a b a b 1 14 0 w 4 C w 1 1 w x y y z y z Z X Z X z xx y x y 1 yz yz y z 1 Zx zx z x b w is imaginary cube root of unity y z d 3 9 15 5 11 17 7 13 19 1 bc a b c ca b c a 1 ab c a b a a bc 1 b b ca 1 cc ab

8 20 Test III Fill in the missing number 4 points each 1 5810 3A16 2 3 A 5 923 199 18 JO 10 10 Instructions 410 2487 49758 793 10 000012 10016 10 2008 011100002 8 2A16 2C16 4610 8 1708 4 5 1510 1 16 17508 6416 10 Write the corresponding complemented values of the following 4 points each 1 What is the 9 s complement of 111010 2 What is the 8 s complement of the product of 210 and 1516 What is the 7 s complement of the sum of 5558 and 55516 What is the 10 s complement of 10116 3 What is the 1 s complement of 11110

Consider the following numbers 34 101 169 253 1122 1313 Find all numbers from the list above that are divisible by 2 Find all numbers from the list above that are divisible by 11 Find all numbers from the list above that are divisible by 22

Translate the sentence into an algebraic equation Use x for the variable 16 more than five times a number results in 14

Draw the missing top view for the given figure below and the corresponding isometric view to support justify your answer 10 points

Classify each number below as an integer or not 12 2 76 40 8 N 11 2 Integer Yes No O O O O O X

1 2 Evaluate each expression 1 29 3 586 4 1000 X 3 4 5