Basic Math Questions and Answers

Solve I 81 2 Enter your answer in INTERVAL notation Use U to indicate a union oo ZE to indicate oo If no solution exists enter DNE

I 21 8 0 Enter your answer in INTERVAL notation using U to indicate a union of TE intervals or enter DNE if no solution exists

Solve the following quadratic inequality 2x 3x 3x 2 0 Write your answer in interval notation Note Use oo for oo and U for union

Solve the inequality s s 1 No solution

x 8x 15 x2 16x 64 State your answer using interval notation Use U for union and oo for co Solve the following inequality 0

10 9 8 7 6 3 4 w 24 10 9 8 9 K 5 4 m 4 5 i 6 8 9 10 m 3 30 3 5 7 8 9 10 Solve the following inequality m r 0

Evaluate the following expressions a P 110 1 b P 9 6 c P 13 3 CHIL Imp

In the 6 55 lottery game a player picks six numbers from 1 to 55 How many different choices does the player have if repetition is not allowed Note that the order of the numbers is not important Your answer is

Find the value of each of the following quantities C 10 6 C 8 7 C 11 8 C 6 2 C 9 1 C 5 2 FI GI 31 Gall P G A

Starting at noon Fabian observed the amount of snow on his lawn during a blizzard He wrote an equation to represent s how many inches of snow were on the lawn s 7 0 018x where a represents the number of minutes past noon What is the meaning of the s value when 60

reads in three numbers and writes them all in sorted order you are going to create a flow chart and pseudo code Create the algorithm in a flow chart save a screen shot and access to anyone with the link Create pseudo code in a google doc and and give access t Add UNI L

Cu l es la pendiente de la recta x 3y 10 Escoge 1 respuesta A B C 1 1 3 1 10

Identify 2 ways of answering open ended questions use two different examples Here is a sample Megan bought a shirt discounted at 16 50 The rack said 20 off What is the original price SHOW ALL WORK AND EXPLAIN YOUR REASONING

When Theodore Roosevelt became president three of Admiral Mahan s four recommendations for becoming a world power were in place What was the fourth one that commenced under Roosevelt The construction of a modern navy Strategically placed naval bases A canal through Central America The acquisition of Hawaii and other islands

Test 1 B Question 23 of 31 1 5 points Questic Write an equation of the form y a sinbx or 3x f 3x 51 khe 51

Order 1000mL D5W to infuse over 6 hours Hourly Rate mL hour Round to the nearest whole number

8 Let be an angle such that sin 0 Find the exact values of cote and cot 0 0 cose 17 cos 0 and tan 0 0 X 10 S

Divide 47 1 4x 3 by I 3 Fill in the table below to complete the synthetic division Only the answer is shown as correct of not BOY

Let 8 6 be a point on the terminal side of 0 Find the exact values of cos 0 sece and cot 0 cose sece cot 0 8 X S

Divide If there is a remainder express it in the form x 7x 247 18 x 3 Question Heln T I 3

emainder express it in the form 2 7 19 12 x 4 T x 4

Which of the following 1 On May 31 George Dewey the American naval commander steamed into Manila Bay and destroyed the Spanish fleet i Spain lost 1581 men and the United States lost 1 iii By August the Spanish troops surrendered to Americans rather than the Filipinos who had been fighting for freedom since 1896 O Statements I and II O Statements II and ill O Statements ill only O Statements I and III

11 of 31 1 point Question Attempt 1 of 1 2 3 4 5 as side lengths d e and fas shown below s to find tanx cosx and sinx

What might be one reason for the changes to the number of questions in the 1940 A total of 65 questions were asked on the 1940 Census 34 for the Census of Population QUESTIONS and 31 for the Census of 81 Housing Additionally 5 of the population was asked 16 supplemental questions 1940 CENSUS FORM Oblased questions different areas studied 2010 DEL In 2010 every household was asked the same ten basic questions 10 QUESTIONS The more detailed demographic housing and economic questions that were asked of a sample of households in the Census through 2000 are now sked annually in the Americ Community Survey ACS which was sent to about 3 5 million households in 2010 pely FANA Sources 2010 Census 1840 Census Some Intreton came from the publica Bon Procedure story of the 1940 Cesus by Robert M Jerin decreased participation 2010 CENSUS FORM sus

This information would be most important in which of the following scenarios Economy In civilian labor force total percent of population age 16 years 2012 2016 63 1 In civilian labor force female percent of population age 16 years 2012 2016 58 3 The House of Representatives is considering reintroducing the Equal Rights Amendment Congress is debating the creation of tax incentives for female minorities to start their own small businesses The Senate is investigating allegations of discriminatory hiring practices on the basis of gender across industries The president wishes to create a public holiday celebrating women who own their own businesses or are self employ

The following information was primarily collected through which means Income Poverty Median household income in 2016 dollars 2012 2016 55 322 Per capita income in pas 12 months in 2016 2012 2016 29 829 Persons in poverty percent O Census survey interviews extrapolation 12 7

Find the terminal point on the unit circle determined by 0 radians Use exact values not decimal approximations x y 0 9 16

Weight kg 16 15 14 13 12 11 10 9 876 5432 1 0 0 3 6 9 Smoothed percentile curves Empirical data points NOTE When values at a given age for two or more percentile lines are identical the values are overlaid and appear as a single data point 75 50 25 5 12 15 18 21 24 27 30 33 36 Age months Source Centers for Disease Control and Prevoston National Center for Health Blatistice O A local government wants to measure the Impact of a food program targeting children in poverty O The Department of State wants to compare the average weight of baby boys In Africa with those in the United States The president decides to begin a new program to Improve the nutrition of children who eat lunch in public schools

Find the periodic payment for each sinking fund that is needed to accumulate the given sum under the given conditions Round your answer to the nearest cent FV 700 000 7 6 compounded semiannually for 20 years

Find the future values of the ordinary annuities at the given annual rate r compounded as indicated The payments are made to coincide with the periods of compounding Round your answer to the nearest cent PMT 280 r 6 4 compounded semiannually for 15 years Enter a number

An individual earns an extra 2500 each year and places this money at the end of each year into an Individual Retirement Account IRA in which both the original earnings and the interest in the account are not subject to taxation If the account has an annual interest rate of 9 1 compounded annually how much is in the account at the end of 50 years Round your answer to the nearest cent x

Find the bearing from O to A N W A 68 E The bearing from O to A is

CONTENTS Section 4 An Extended Exploration PRSINT degrees of freedom and press the Calculate b Q4 14 What is the p value associated with you calculated value of t Check Answer Recall that the p value is actually a probability th to the null hypothesis This may seem tricky if y

Simu Text 2022 2023 File Edit Go Tools CONTENTS Help Section 4 An Extended Exploration The t 1 Isle Ro sample sizes to calculate SE and enter the value on th right And yes strangely enough you will divide by the sample sizes again SE np na

A company needs to package 2 400 pencils A box in the shape of a rectangular prism can hold 60 pencils A cylindrical container can hold 80 pencils Each box costs the company 0 50 while each cylindrical container costs 0 75 Which packaging should the company use to minimize cost Explain The rectangular prism boxes should be used because they will cost the company 2 50 less than using the cylindrical containers The cylindrical containers should be used because they will cost the company 2 50 less than using the rectangular boxes The rectangular prism boxes should be used because they will cost the company 5 00 less than using the cylindrical containers The cylindrical containers should be used because they will cost the company 5 00 less than using the rectangular boxes

2 8 points An aircraft maintains a constant airspeed of 500 miles per hour headed due south The jet stream is 80 miles per hour in the northeast direction a Express the velocity va of the aircraft relative to the air in terms of i and j b Express the velocity vw of the jet stream in terms of i and j C Use Va and Vw to find vg Va the velocity of the aircraft relative to the ground 4 Vw find the actual speed of the aircraft relative to the ground Round to the nearest mile

Write the given vector in terms of I and J U UN

Joe invests a sum of money in a savings account with a fixed annual interest rate of 6 15 compounded continuously After 5 years the account has reached a balance of 7 500 What was the initial investment Round to the nearest hundreth O 7968 44 O 8102 72 O 6502 31

Determine which point in the figure P Q R or S has the given polar coordinates Select Select PORS Q 4 09 1 1 4 0 1 2 4 3 4 P

Write the complex number in polar form with argument 8 between 0 and 2 4 4 3i

1 Use induction to prove that for any natural number n 1 we have for sets A1 A2 An contained in the same set S that 21 n Ai i 1 where generally B represents the complement of B in S for any subset B of S

When Jack was 4 years old his parents opened a college savings account for him His parents want the account to reach 12 500 by the time he turns 18 If the account has an interest rate of 6 3 compounded monthly how much money would they have to initially invest O 5186 38 O 7623 13 O 3522 61

Graph the complex number 3 5i O O 6 5 4 3 2 1 Find the modulus c Im i il 6 5 4 3 2 1 i Im i 1 2 3 4 5 6 1 2 3 4 5 6 Re Re O O 6 5 4 3 2 1 6 5 4 3 2 1 Im i il Im 1 1 2 2 3 4 5 3 4 5 6

John invests 6000 into a savings account with a fixed annual interest rate of 5 compounded continuously What is account balance after 30 years round to the nearest hundredth O21095 87 O 37233 95 O 4891 85

The population of an island is currently 1000 people The population is expected to grow at an exponential rate It after 5 years the population is 2500 people what is the growth rate Write your answer as a percentage 0 123 20 1 0 201 123

Convert the equation to polar form Use variables r and 8 as needed x y 9

The price of the video game The Last of Us sold for 59 99 in 2012 The game has a depreciation rate of 3 2 How much would the game cost today 2020 O 35 52 O 40 82 O 46 25

1 Write an algorithm in pseudocode that will take in a non zero natural number and will output the smallest prime that divides into it You can assume the existence of a remainder function that takes in an number and a divisor and outputs the remainder for this problem

1 Identify the rules of exponents showing in the problem 2 Simplify the expression 83

Consider the following function y 2 3 1 Select all statements that are true The function is showing decay O The range is 1 infinity The horizontal asymptote is y 1 The y intercept is 1 0