Complex numbers Questions and Answers

120mL 0 9 Sodium Chloride to infuse over 4 hour Drip factory 60gtts mL How many gtts min Round to the nearest whole number

Which one of the following is the symbolic form of the claim that the mean weight grams of house flies is more than 0 002 Choose the correct answer below OA 0 002 OB p 0 002 OC 20 002 OD p20 002

Evaluate the formula x n 1 s 0 when o 1 85 n 41 and s 2 55 x Round to three decimal places as needed

40 milligrams grains Round to the nearest tenth

Claim More than 4 9 of homes have only a landline telephone and no wireless phone Sample data A survey by the National Center for Health Statistics showed that among 16 100 homes 5 83 had landline phones without wireless phones Complete parts a and b Note Te null hypothesis is a statement that the value of a population parameter is EQUAL TO some clained value The alternative hypothesis is a statement that the parameter has a value that somehow differs from teh null hypothesis using symbols such as or a Express the original claim in symbolic form Let the parameter represent a value with respect to homes that have only a landline telephone and no wireless phone Type an integer or a decimal Do not round b Identify the null and alternative hypotheses Ho H Type integers or decimals Do not round it min

W 3 4 3 2 2 1 1 2 3 3 1 2 3 meen medion mode 3 2 2 4 3 2 25 3 they make sence A only the mode makes sense Bonly All of them make the mean and Medien make Sense the mean and mode make sen

Help Section 4 An Extended Exploration TI CONTENTS Isl each value of Fat x in that sample subtract the me store with wolves absent a and enter each differ from the mean in the column labeled x xa File Edit Go Tools Q4 8 Make sure you re on track What is the difference from the mean for Moose 1 with wolv absent Check Answer

Question 1 of 8 Step 1 of 4 Consider the following equation 3 x 31 12 0 Step 1 of 4 Rewrite the equation above in standard form and determine if there is a solution Answer Selecting an option will display any inputs needed to complete your answer Standard Form Solution O Yes No Empty Set

29 27a 36 9a 63 6a 8 2 1 12r 32 7r 14r 7 67 16 71 21r 31 18m 36m 33 10m 100m 20m 40m 30 32 34 k 7 7k 28k k2 k 12 8k2 56k 9x 54x r2 5r 14 n 7 n 2n 35 r 5r 14 10x 9n 54 10n 50

3 100 0 03 1 Margin of error formula n Multiply by 100 Divide 2 100 n 33 333 n 1111 11 Square each side n 2500 A random sample of about 1100 would have a margin of error of about 13 while a random sample of 2500 would have a margin of error of 2 Question 4 0 02 1 n 50 b Suppose the finance director would like to reduce the cost of the survey by using a random sample of 100 What would be the margin of error for this sample size Substitute 100 for n in the margin of error formula margin of error 100 100 or 10 Margin of error formula n 100 100 A random sample of 100 would have a margin of error of 10 0 5 pts If a survey with a random sample of 2500 students is conducted is it possible that only 20 of the students could respond that they text during class

Adam is purchasing a new television that costs 2 187 96 after tax He borrowed the money from his parents and must pay back the full amount plus simple interest at the rate of 3 5 What is the interest he will pay if he takes 2 years to pay his parents back Include Decimal with the cents No Commas

How much will Maddie earn in interest if she invests 1 200 in a savings account for 5 years at a simple interest rate of 4 5 Include Decimal with the cents

Using a new lawn mower Abby can mow the lawn in 2 hours Her sister Carla uses and older mower and takes 3 hours to mow the same lawn How long will it take them if they work together

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Complete the problems 1 Emily Gast deposits 50 000 in a 4 year CD that earns interest at an annual rate of 5 25 compounded daily a Find the amount of the CD in 4 years b Find the interest earned in 4 years

3 points Question 6 A CD or certificate of deposit is a type of savings account with a fixed rate an term meaning you can only redeem it when the term is over If you open a CD with an initial deposit of 900 and an APR of 0 67 compounded monthly what profit will you have earned when you redeem t CD in 5 years Round your answer to the nearest cent if necessary

Question 6 3 4 33 Part 1 of 2 Use Descartes Rule of Signs to determine the possible numbers of positive and negative real zeros of f x 82 2x 5 e Rational Zero Theorem HW Score Points What are the possible numbers of positive real zeros Q Use a comma to separate answers as needed

7 in 15 in 16 in Find the area 15 in 9 in Area of in Area of A Area of Figure Remember A bh in in

When the discriminant is negative the roots of a quadratic equation are maginary because elect one O a The roots of a quadratic equation cannot be negative O b The square root of a negative number is imaginary O c Negative numbers cannot be used in the denominator of a quadrati equation Od None of the above a negative discriminant yields negative roots

at are the coordinates of the vertex of Y X2 8X ect one a 4 49 b 4 15 c 15 4 d 8 1

Use the graphs to help you answer the question Which graph represents X Y2 1 Select one a U b T O c Q O d Z

What is the area of a regular ecagon if the length of each side 20 units 2 Drew decides to bake his girlfriend a cookie in the shape of a regular dodecagon 12 gon for their 12 day anniversary If the edge of the dodecagon is 6 cm what is th area of the top of the cookie

3 Simplify each of the following expressions Be sure that your answer has no negative or fractional exponents a 643 b 4x y5 c 2x y 3x y5

Two taxi cab companies charge the following A Plus taxi service charges 6 initially and 2 per mile Luxury taxi service charges 4 initially and 2 50 per mile For what number of miles do both of the taxi cab companies charge the same 2 miles 4 miles 6 miles 8 miles

Question 22 3 points Using the graph below solve the equation x 2x 6 3 g x 54 3 2 6 5 4 21 x 1 or y 7 x 1 or x 3 x 1 65 or x 3 65 f x x 2 6 16 dhy

y x 3 y x 3 y x 3 y x 2 y x 2 y 2x 3

The equation for compound interest is A P ert where Pis the initial amount invested r is the interest rate as a decimal and t is the number of years Jason plans to invest 9 000 in an account at Union Bank The annual rate is 3 78 compounded continuously How much does Jason have at the end of 10 years 12 768 33 13 050 26 13 134 27 15 640 22

Question 3 3 points Geometric Sequence Consider the first six terms of this sequence 3 6 12 24 48 96 What would be the common ratio of this sequence 2 3 6 0 5

Write each decimal 1 ninety eight and seven tenths

Select one 10 9 8 7 6 5 4 3 2 1 1000 O O O 2000 O 1000 2000 3000 4000 5000 6000 7000 9000 10000 11000 12000 1 2 3 4 5 6 7 8 f x x 3 x 4 x 6 x 8 x 5 x 2 f x x 3 x 4 x 6 x 8 x 5 x 2 f x 1 x 3 x 4 x 6 x 8 x 5 x 2 f x x 3 x 4 x 6 x 8 x 5 x 2 9

translated left 4 units 4 1 2 O A 7 2 A 7 2 4 2 1 Hua Attempt Question 8 12 5 points Given the parent function is f x which would represent the function f x reflected over the x axis and translated left 3 units Of x 3 O f x 3 O f x 3 sr

Question 1 12 5 points Consider the parent function f x How would the original graph be transformed if it were to be changed to f x 1 O O O x 4 The graph would be translated right 4 and up 1 The graph would be translated left 4 and down 1 The graph would be translated right 1 and up 4 The graph would be translated left 1 and down 4 Question 2 12 5 points Consider the parent function f x 5 How would the original graph be transformed if it were to be changed to Ax 5 x 2 The graph would be translated left 2

O g x f x a O g x f x b Question 5 12 5 points Given 2 3 and that g x 4 f x determine the value of g 2 2 8 12 O24 O Question 6 12 5 points Given the parent function f x 2 how would 3 the function g x 2 x compare to f x g x is the same as f x vertically compressed to the x axis by a factor of

3 i How many unique powers does z have if z 2

Question 2 20 points Using the graph below to approximate the solution of 2 ln x 3 3 g x 3 O O x 2 x 1 O OXN2 x 1 5 5 41 21 5 2 3 Question 3 20 points 5 X

Question 2 20 points Using the graph below solve the equation x 2x 6 0 7 6 5 4 3 2 1 4 3 2 1 1 2 x 1 or y 7 x 2 79 or x 4 79 1 2 3 4 5 6 7 x 1 65 or x 3 65 y 6 or y 0 f x Question 3 20 points X

Question 4 20 points Using the graph below solve the equation x 3 x 1 f x x 3 g x x 1 3 V 14 4 3 2 1 Ox 1 or x 2 y 2 or y 1 O O y 3 or y 1 2 x 1 73 or x 1 73

Question 4 15 005 points Use the following constraints to maximize the objective function Constraints Objective Function x20 P 4x 5y y 20 x y 6 O Maximum occurs at 0 0 O Maximum occurs at 4 3 O Maximum occurs at 6 0 O Maximum occurs at 0 6 F 15 005 pointel S 3 2 1 2 3 S

Question 1 23 33 points Identify the inequality that represents the graph 5 4 3 2 O O OYsx y x y2x 3 2 1 X 2 2 do 1 1 2 3 4 5 Question 2 23 33 points

The function h an object defined by h t 49 4 9t 10 t models the height in meters of an object t seconds after it is dropped from a helicopter Answer the questions below a Find or approximate the time when the object hits the ground Explain or show your reasoning b From what height is the object dropped Explain or show your reasoning

Question 5 10 points Provided Alex purchased 1 adult ticket and 2 student tickets for a total of 22 Jen purchased 1 adult ticket and 3 student tickets for a total of 28 What is the price of a student ticket Let a cost of adult ticket a s 22 a s 28 2a s 22 3a s 28 cost of student ticket Write the two equations which could be used to solve this problem using elimination O O O 2a 2s 22 Let s a 3s 28 O a 2s 22 a 3s 28 Question 6 10 points What should we multiply the 2nd equation by in

10 31 O No Solution Question 4 20 points Solve the following system of equations using SUBSTITUTION 2x 2y 5 y x Which of the answers below is the corrected solution to the system 2 4 2 2 1 1 O No Solution Question 5 10 points

Question 1 18 points Simple Interest Jessie purchased a used car from a small business They offered to let him finance or borrow 3200 for a term of 2 years at 11 a year using Simple Interest How much interest will Jessie have to pay the used car dealer O 176 O 352 O 387 20 704

Question 4 16 points Compound Interest Jackson deposited 5 000 at 3 8 interest rate compounded continuously when he was 18 years old How much will be in the account when he is 40 years old if he made no other deposits or withdrawals O 10 000 O 11 535 60 O 11 024 91 O 23 650 87 Question 5 18 points

O 23 650 87 Question 5 18 points Which investment would be worth the most after 15 years An initial investment of 5000 compounded semi annually at a rate of 6 after 15 years O An initial investment of 5000 compounded quarterly at a rate of 5 9 after 15 years An initial investment of 5000 compounded continuously at rate of 5 8 after 15 years

Simplify each expression CSC 8 1 sin 8 O2tan 9 tan2 2tan 9 0 0 O 2 cot 9 cos 8 1 sin 9 Question 6

Find the exact value of each expression if 270 0 360 3 If cos find cot 8 O 3 91 91 O 3 91 91 91 91 01 10 wi

Simplify each expression csc tan e sec 8 O cos 8 O csc 8 O cot 8

Find the exact value of each expression if 0 90 If cot 1 2 find sin 8 O 215 O 5 02 5 5 45 Jhy

CAMP The enrollment for a biannual computer camp over the past 15 years is shown Number of Participants 45 68 55 25 48 36 61 52 31 8 41 58 40 55 68 47 60 28 44 63 18 68 50 57 37 16 56 40 50 68 Use a graphing calculator to create a box and whisker plot and describe the shape of the distribution Then describe the center and spread of the data using either the mean and standard deviation or the five number summary Justify your choice O Positively skewed the distribution is skewed so use the five number summary The range participants The median is 49 and half of the camps had between 37 and 48 participants 8 to 68 Negatively skewed the distribution is skewed so use the five number summary The range is 8 to 68 participants The median is 49 and half of the camps had between 37 and 48 participants Symmetric the distribution is symmetric so use the mean and standard deviation Then mean is 49 and the standard deviation is 16 O Symmetric the distribution is symmetric so use the mean and standard deviation Then mean is 46 4 and the standard deviation is 16