Basic Math Questions and Answers

inslate N W Z Qu Write each answer in polar form a

rk he complex number in rectangular form 7 COS i sin 4 7 7 7 4 M

Question 4 9 3 Part 1 of 3 plex number on the complex plane and write it in pola orm

in in rectangular form x yi and in e 14 3r 8 Questi

ork the expression in rectangular form J 2 cos isin 12 3 F 12

MATH X Do Homework section k aspx homeworkid 643828284 que Question 12

nslate complex roots Write the answer in

now that the given set of functions is orthogonal on the indicated interval Find the norm of each function in the set n 1 2 3 0 p For mn For m n Also and so that cos x cos x dx cos x cos n m x P n m n P cos 7x dx 0 P sin 0 FZ7LX PITCX P sin 0 COS sin POLX P 2 727CX X 2 2nx 2 277xX sin P x de dx 1 n m xx P 1 1 sin dx n m xx P n m x P

Find the quotient Z1 Z2 Z 5 5i of the complex numbers Leave your answer in polar form Z2 Z 1 i

8 Can the real number 6 be classified as a rational number O O False True

The researcher separates the population into evenly sized groups randomly selects one participant in the first group and then selects every nth participant O Convenience Sampling Cluster Sampling O Simple Random Sampling

What is Newton s Second Law Give the units and derive the final unit

uses the sample from the entire population through a randomization technique O Stratified Random Sampling O Simple random sampling O Systematic sampling O Cluster sampling QUESTION 10 Each student at a school has a student identification number Counselors have a computer generate 50 random identification numbers and those students are asked to take a O Simple random sampling O Stratified random sampling O Cluster random sampling

A frequency table of grades has five classes A B C D F with frequencies of 4 15 17 4 and 1 c respectively Using percentages what are the relative frequencies of the five classes Complete the table Grade A B C D Frequency 4 15 17 4 F 1 Round to two decimal places as needed LL Relative frequency 1

If you borrow 800 for 6 months at 4 annual simple interest how much must you repay at the end of the 6 months

Create an Excel Spreadsheet to calculate the average of temperature for Baton Rouge New Orleans Port Allen New Roads over 5 days

Find the orthogonal complement W of W and give a basis for W 6t W

5 A river flows due south at 3 mi hr A swimmer starts on the west bank of the river and wants to arrive at a point on the east bank directly opposite the starting point If the swimmer has a speed of 2 mi hr relative to the water in what direction angle to the river bank should the swimmer be headed

Find a basis for the column space of A A 0000 11 15 0 1 1 2 1 1 2 1 Find a basis for the null space of AT for the given matrix Verify that every vector in col A is orthogonal to every vector

Assume that A and B are n x n matrices with det A 9 and det B 4 Find the indicated determinant det B A det B A

Use Cramer s Rule to solve the given linear system If there is no solution enter NO SOLUTION 5x y 14 x 2y 6 x y

Consider the following system of equations x y z 1 x y z 2 x y 4 Let A be the coefficient matrix and b be the vector of constants for the system Find the following determinants used to solve the system using Cramer s Rul det A det A b W det A b det A b Use Cramer s Rule to solve the given linear system If there is no solution enter NO SOLUTION x y z

RAY IOFT 2 KIPS 10FT 2 KIPS 10FT EFX 0 RAx 0 Fy 0 RAY PHY 2 2 2 8 EMA 0 2 10 2 20 2 30 8 30 RHY 40 0 2 KIPS 8 KIPS 10FT 10 FT RHY Find Plython find the RA

Find the y intercept of y 5X 3 2 The y intercept of y x 3 is Type an ordered pair

Solve the given nonlinear plane autonomous system by changing to polar coordinates x y x x y y xy x y r t 8 t x 0 5 0 solution of initial value problem X Describe the geometric behavior of the solution that satisfies the given initial condition s The solution spirals away from the origin with increasing magnitude as t increases O O The solution traces the circle r 5 in the clockwise direction as t increases O The solution spirals toward the circle r 1 as t increases The solution approaches the origin on the ray 0 0 as t increases The solution spirals toward the origin as t increases

Evaluate the given expression for w 10 x 3 y 11 z 30 x 3 X W 1 IN y Z X y W Z Type an integer or a simplified fraction when w 10 x 3 y 11 z 30

Write the number in standard form Some event dates back to 3 3 109 years ago

A rectangle measures 450 feet by 215 feet Find its area 450 feet 215 feet The area of the rectangle is 109000 foot www

Perform the indicated operations 23 5 81 9 23 5 81 91

Find the a mean b median c mode and d midrange for the given sample data An experiment was conducted to determine whether a deficiency of carbon dioxide in the soil affects the phenotype of peas Listed below are the phenotype codes where 1 smooth yellow 2 smooth green 3 wrinkled yellow and 4 wrinkled green Do the results make sense 4 3 3 2 1 1 3 3 4 4 3 a The mean phenotype code is Round to the nearest tenth as needed 3 1 1 0

Evaluate the following expression for a 2 b 6 and c 3 ac b a ac b a Type an integer or a simplified fraction

Perform the indicated operations 4 7 4 2 22 2 4 7 4 2 2 2

Solve the following minimization problem by solving the primal problem with the simplex method Minimize g 10y 4y2 subject to 3y 22217 2y 32223 Minimum g 120 at y 10 2 5 B Minimum g 110 at y 9 y2 5 Minimum g 106 at y 9 2 4 D Minimum g 100 at y 8 2 5 Minimum g 86 at y 5 32 9

Incorrect The range of f x ln x is 0 0 Correct The range of f x ln x is Incorrect The y intercept of f x ln x is the point 0 1 Correct The Select an answer of f x ln x is Select an answer Incorrect The function f x ln x has no intercent

The technology output for 1 is 2 91038305E 11 Write this number in scientific notation with three 235 significant digits 1 The number written in scientific notation with three significant digits is 235 Use scientific notation Use the multiplication symbol in the math palette as needed

Rewrite the expression using exponents 6 5 5 1 6 6 5 5 5L

List the elements in the set x x is a whole number less than 2 TER Use a comma to separate answers as needed Use ascending orde

Lets be the annual sales in millions for a particular electronic item The value of s is 55 2 for 2008 What does s 55 2 mean in this situation The given situation means that in the year million of this electronic item were sold

Check here for instructional material to complete this problem A book is 11 centimeters wide Convert this width to inches The width of the book is in Round to two decimal places as needed

Perform the exponentiation by hand Then use a calculator to check your work 80 3 3 0 8 Simplify you

Write the number in standard form 8 75 x 10 4 8 75x10 4

Use this information for questions 11 12 Find the minimum and maximum values of the objective function f 2x 4y subject to the constraints given by the system of inequalities 3x 5y 45 3x 8y 54 4x 3y 12 x 20 y 0 The minimum value 6 Round your answer to the nearest whole number as needed The maximum value 32 Round your answer to the nearest whole number as needed

Write the number in scientific notation 4 550 000 4 550 000 Use the multiplication symbol in the math palette as needed

When a nonlinear capacitor is present in an LRC circuit the voltage drop is no longer given by g C but is more accurately described by aq q where a and are constants and a 0 Differential equation 34 of Section 5 1 for the free circuit is then replaced by Lda Rdg ag Bq 0 d q dt dt Find and classify all critical points of this nonlinear differential equation Hint Divide into the two cases 0 and 0 Assume x q y q and R 4a Order your answers from smallest to largest x then from smallest to largest y Assuming 0 one obtains the following real critical point X Conclusion x y 0 0 Assuming 0 one obtains the following real critical points X Conclusion x y x y x y a R 0 0 0 0 0 X stable node or spiral point saddle point stable node or spiral point saddle point

You can retry th Evaluate using your calculator and round to 4 decimal placor

Read the quotation from an important Cold War leader below Which countr do you think the speaker is describing Relatively few nations have the socially conscious type of private enterprise that we enjoy Here private enterprise with minimal intervention by government strives to benefit all the people 1 O A India OB The Soviet Union C The United States OD China

AMPLE SPACE 4 POINTS 5 A COUPLE PLAN TO HAVE THREE CHILDR A LIST ALL THE POSSIBILITIES FOR THE B WHAT IS THE PROBABILITY THAT THEY

4 POINTS 11 SOLVE THE FOLLOWING ODDS AND PRO A HOT DOG CONTEST THE ODDS IN F DOG EATING CONTEST ARE 2 7 FIND THE CONTEST B A RED MARBLE A BOX CONTAINS 9

7 POINTS 8 SOLVE THE FOLLOWING PROBLEMS A IN HOW MANY WAYS CAN THE LETTERS OF THE WORD TRACK BE ARRANGED PAGE 4 OF 13 B A STUDENT MUST SELECT AND ANSWER SIX OUT OF TEN QUESTIONS ON AN EXAM IN HOW MANY WAYS CAN THIS BE DONE C A TEACHER DECIDES TO GIVE SIX IDENTICAL PRIZES TO 6 OF THE 20 STUDENTS IN HIS CLASS IN HOW MANY WAYS CAN THIS BE DONE D HOW MANY DISTINCT ARRANGEMENTS CAN BE MADE WITH THE LETTERS IN THE WORD CONNECTION E HOW MANY AUTOMOBILE LICENSE PLATES CAN BE MADE IF EACH PLATE CONTAINS 3 DIFFERENT DIGITS FOLLOWED BY 3 DIFFERENT LETTERS F IF A BASEBALL TEAM CONSISTS OF 18 PLAYERS HOW MANY POSSIBLE GROUPS OF 9 MAN TEAMS ARE POSSIBLE G HOW MANY DIFFERENT COMMITTEES CAN BE FORMED FROM 4 TEACHERS AND 20 STUDENTS IF THE COMMITTEE IS TO CONSIST OF TWO TEACHERS AND THREE STUDENTS

6 POINTS 2 A SINGLE CARD IS DRAWN AT RANDOM FROM THE PROBABILITY OF DRAWING THE FOLLOW LOWEST TERMS A A DIAMOND OR A 5