Complex numbers Questions and Answers

Write the fraction as a decimal 6 8 9

Rewrite the fraction 10 1 with 15 as the denominator 3

vo angles are complementary angles if the sum of th solving the following system of equations A B 90 A 38 3B

a During Week 0 how many more specialty items were produced at the old factory than at the new factory Explain b Find and compare the growth rates in the weekly number of specialty items produced at each factory Show your work c When does the weekly number of specialty items produced at the new factory exceed the weekly number of specialty items produced at the old factory Explain

3 The function p w 230 1 1 represents the number of specialty items produced at the old factory w weeks after a change in management The graph represents the number of specialty items produced at the new factory during the same time period Number of specialty items 600 550 500 450 400 350 300 250 200 150 100 50 0 y 2 252 0 190 1 New Factory 4 337 1 220 2 B 7 505 6 440 3 290 5 380 6 8 X

11 Ms Warden needs 20 000 to go on her dream vacation in four years How much does she need to invest now in an account earning 8 5 annual interest compounded semi annually 3

35 3 points Extra Credit The values below in column A list the weight in pounds of 10 different cars made in 2022 The values in column B are the corresponding gas mileage of each car Car Weight in lbs Car MPG 4000 2567 3945 3300 2140 4010 2565 3450 2900 3345 272272282 23 19 20 43 34 25 Develop a linear programming graph on your calculations file with the regression model and r squared value and answer Based on the LP that you have developed what does the graph tell us about the general relationship between these two variables Car weight and Car MPG As the weight of the car goes up the car s MPG goes up direct relationship As the weight of the car goes down the car s MPG goes up positive relationship As the weight of the car goes down the car s MPG goes down negative relationship As the weight of the car goes up the car s MPG goes down inverse relationship

Which of the given subsets of R are subspaces a The set of all a a a2 a3 where a a 1 b a b c a 0 b 0 c x y z x 0 and y 0 d a b c a 0 and b c The sets in c and d The sets in a and b The sets in a and c O d The sets in b and d a O b C

The first step to determine that the rectangle in Quadrant III is congruent to the rectangle in Quadrant I was to rotate the first rectangle 90 degrees clockwise about the origin What is the next step

5 45 6 5 operat 5 45 6 5 Type an integer Type an integer or a decimal

Find the difference and write in lowest terms 33 10 33 10 33 6 33 Type an integer or a simplified fraction

Find the following sum and write it in lowest terms 21 1 8 9 2 2 21 8 Type an integer or a simplified fraction

12 Why is 0 6 a rational number

Evaluate and write in lowest terms if necessary 11 1 11 6 15 11 6 11 4 15 Type an integer or a simplified fraction

Find the reciprocal of the rational number 2 The reciprocal of 2 is Type an integer or a simplified fraction

13 Solve Answer in simplest radical form with a rational denominator 3x 25 14 2 marks Solve 5 7 2x 1 3x 2 Indicate excluded values check your answers 9 6x x 2

Find the product 0 07 0 88 0 07 0 88 Type an integer or a decimal

160 833 100 7 6 01 160 833 100 7 6 01 Type an integer or a decimal

Find the following product 408 4 3 408 4 3 Type an integer or a decimal

76 17 16 845 76 17 16 845 Type an integer or a decimal

Find the following difference 9 75 12 267 9 75 12 267 Type an integer or a decimal

Find the difference and write in lowest terms 3 6 5

Find the following sum or difference and write in lowest terms 5 12 5 12 5 18 5 18

11 6 13 21 Step by Step Solution Step 1 Find the least common denominator 11 6 13 The LCD of and is 21

watch video Statistics Calculator Show Examples At a customer service call center for a large company the number of calls received per hour is normally distributed with a mean of 120 calls and a standard deviation of 15 calls What is the probability that during a given hour of the day there will be between 145 calls and 157 calls to the nearest thousandth

Perform the indicated operation 5 1 4 7 Step by Step Solution Step 1 Find the least common denominator 1 5 an The LCD of and is

Find the sum and write in lowest terms 16 16 4 37 4 37 21 11 Type an integer or a simplified fraction

Complete the following statement with the appropriate numbers 4 12 4 17 12 4 17 17 17 11 4 CH Tyne integers or simplified fractions

Find the multiplicative inverse of the following number 1 10 1 The multiplicative inverse of is 10 Type an integer or a simplified fraction

Fill in the blank below Two numbers are called multiplicative inverses or reciprocals if their product is e Type an integer or a simplified fraction

Find the product and write it in lowest terms 49 245 49 245 25 4 25 4 Type an integer or a simplified fraction

Find the following product and write it in lowest terms 18 20 12 63 12 63 18 20 Type an integer or a simplified fraction

DIRECTIONS Use this information to answer Parts A and B Consider the following recursive formula a1 2 an an 1 4122 Part A Find the first 5 terms of the sequence beginning with n 1 Enter the numbers in the box separated by commas Show Hints The first 5 terms of the sequence are W 7 8 9

Find the product and write in lowest terms if necessary 2 3 2 15 3 14 15 14 Type an integer or a simplified fraction

96 6 96 6 Type an integer or a simplified fraction

Find the quotient 75 6 75 6 Type an integer or a simplified fraction

Find the product 1 2 4 3 5 1 2 4 3 5 Simplify your answer

Find the quotient 64 4 64 4 Type an integer or a simplified fraction

nk below The product of two integers with the same sign is

Evaluate the following expression 3 14 7 3 3 14 7 3 Simplify your answer

Evaluate the following expression 875 335 695 285 875 335 695 285 Simplify your answer

Evaluate the expression 20 47 20 47 Simplify your answer

The additive inverse of 9 is 5 Type an integer or a fraction

Express the data pictured in the graph as ordered pairs letting the first coordinate represent the year and the second coordinate the amount What is the ordered pair for the first bar on the graph billion Sales in billions 40 32 30 20 13 10 22 2000 2001 2002

The points 7 1 and 6 8 are the endpoints of the diameter of a circle Find the length of the radius of the circle The length of the radius is Round to the nearest hundredth as needed www

Find the midpoint of the segment with the given endpoints 5 5 2 8 2 3 and The midpoint is Type an ordered pair Simplify your answer Type an integer or a fraction

Find the coordinates of the point shown on the graph What are the coordinates of the point Type an ordered pair 5

Solve the equation 2 4 8x 6 1 using two different methods Which method do you prefer Explain

36 Consider the following graph State the equation of the function in the forms y asin b x c d and YA 0 t y acos b x c d t 3 2 X

Find the least common denominator LCD of the rational numbers the LCD Septyn Step 1 Find the least common denominator of the fractions 50 2 5 14 2 7 Type your answer in factored form 9 50 Step 2 Rewrite each fraction with the least common denominator 9 7 50 7 Do not sikeplify 9 50 LCD 2 5 5 7 Write the common factors then write the remaining fac 350 and Write each denominator as the product of prime factors 1 14 9 Multiply the numerator and denominator of 50 by 7