Complex numbers Questions and Answers

Evaluate the radical expression Express your answer as an integer simplified fraction or a decimal rounded to two decimal places If the expression does not represent a real number indicate Not a Real Number Answer 122 Keypad Keyboard Shortcuts Selecting a radio button will replace the entered answer value s with the radio button value If the radio button is not selected the entered answer is used

The graph of a polynomial p x is shown below Which zero s could have multiplicity 2 Select all that apply 401 32 5 3 2 2 16 0 4789 16 24 32 40 35 0 5 XA QUESTION 7 The graph of a function is shown below The least degree of the function is XA

esday State the domain of the function f x x 9 3 Domain State the domain of the function f x 2x 4 1 Domain Simplify the expressions Assume all variables are positive 49x8y4 Simplify the expressions Assume all variables are positive 8x6y15 es per EN INS OHOS

Solve for x logx log x 6 log 3 X

1 log 3 logox log 3x 2 log 6 2log x 3 log 4 4log x log 3 log x log 2x 6 log x 20log x log 3 7 2 log x log 3 log y 8 4 log x log y log 2 9 3 log 3 log x log y

11 log 4 12 log 36 2 14 log 22 15 log 100

l uesday Example MA 912 AR 7 2 State the domain of the function f x x 4 3 Set expression under radical to 0 x 4 0 x 4 Determine direction 0 or 0 State the domain of the function f x 2 x 7 Domain Domain 4 00 State the domain of MA 912 NSO 1 3 Simplify the expressions Assume all variables are positive 125 x y 8 5xy6 125x y18 Divide exponent by index Simplify the expressions Assume all variables are positive 81x16y4 o s stepmis Buoj START VER

A forest ranger sights a fire directly to the south A second ranger 6 miles east of the first ranger also sights the fire The bearing from the second ranger to the fire is 5 22 W Ho is the first ranger from the fire How far is the first ranger from the fire mi Round to the nearest tenth of a mile sms

se the given transformation to evaluate the integral 11 6xy dA where R is the region in the first quadrant bounded by the lines y x and y x and the hyperbolas xy and xy x u v y

For the initial quantity Qo 400 and a decay rate of 4 per unit time give a formula for quantity Q as a function of time t and find the value of the quantity at time t 10 a Assume the decay rate is not continuous Q t Q 10 NOTE Round your answer to three decimal places b Assume the decay rate is continuous Q t Q 10 NOTE Round your answer to three decimal places

Find the volume of the regular hexagona prism If necessary round to the neares enth Bh Caph 8 cm 15 cm

Solve for x X WANA CARE 63 5 1296 PETRA E BER TEHN

4 Using the one to one property of exponential functions Logarithmic functions to solve exponential equations logarithmic equation a 33x 1 32x 243 b 55x 7 102x 0

Use Newton s method to find an approximate answer to the following question Where are the inflection points of f x x5 The inflection points are located at x 17 3 x x 30x 1 located 4 2

Emmanuel invests 7500 in two different accounts The first account paid 13 the second account paid 9 in interest At the end of the first year he had earned 739 in interest How much was in ead account at 13 at 9

A bank loaned out 37 000 part of it at the rate of 11 annual interest and the rest at 14 annua interest The total interest earned for both loans was 4 640 00 How much was loaned at each ra S was loaned at 11 and was loaned at 14

For the vector find V V and 4V V 2i 8j V H V 4V

Find the probability of three successes in seven trials of a binomial experiment in which the probability of success is 35 P Round to the nearest tenth of a percent

stion 3 ially correct rk 0 50 odt 1 00 Flag Do the follow 2n 1

Find the indicated term for the geometric sequence 9 9 9 1024 256 64 the 8th term

Question 10 Given the graph of the ellipse determine its equation 5 4 3 2 ET 5 4 3 2 1 1

A model has to choose an outfit from 5 different dresses 2 hats 4 pairs of shoes and 3 purses How many unique outfits can she wear given she wears one of each item outfits She can wear

What does the following sequence converge to 3n 4n converges to

The logarithmic functions f x and g x are shown on the graph Co g x 2 G S 3 2 1 0 2 2 f x logr 3 5 X What is the equation that represents g x Explain your reasoning

Find each product or quotient 5w 20 7w 35 3w 15 10w 40 5

K For f x 7x and g x x 6 find the following functions a fog x b gof x c fog 2 d gof 2 a fog x Simplify your answer b gof x Simplify your answer c fog 2 d gof 2

Aroom measures 7 meters by 13 meters and the ceiling is 3 meters high A liter of paint covers 20 square meters How many liters o paint will it take to paint all but the floor of the room Liters of paint it will take to paint all but the floor of the room is liters

After making a substitution the integral becomes 3 2re 1 dr J2 10 1 eu J5 3 du

Here is a proof by mathematical induction that any gathering of n people must all have the mame blood type Explain where the proof goes wrong Anchor If there is 1 person in the gathering everyone in the gathering obviously has the same blood type nductive hypothesis Assume that any gathering of k people must all have the same blood ype Inductive step Suppose k 1 people are gathered Send one of them out of the room The emaining k people must all have the same blood type by the inductive hypothesis Now bring the first person back and send someone else out of the room You get another gathering ofk people all of whom must have the same blood type Therefore all k 1 people must have the same blood type and we are done by mathematical induction lect one O a O b C The inductive hypothesis is falsc because there is no way to know the blood types of any group of k people The inductive step does not work for 3 people Sending them out of the room I aves 2 people but we cannot conclude that their blood types will match The inductive step does not work for 2 people Sending them out of the room leaves 1 person and 1 blood type but we cannot conclude that their blood types will match The anchor is false because there is no way to know the blood type of any 2 people

The goal of mathematical induction is to prove that a statement P is true for all real numbers n Select one a False Mathematical induction is used to show that a statement P is true for all integers Ob False Mathematical induction is used to show that a statement P is true for all positive integers Oc True Mathematical induction is used to show that a statement P is true for all real numbers Od False Mathematical induction is used to show that a statement P is true for all negative integers

Use transformations of f x to graph g x Select the correct graph OA 2 B 5 O C Q Q Q C O D

Use transformations of f x Select the correct graph OA to graph g x OB x 2 Q G C G D

1 F x 7 X Select the correct graph below A 12 X 12 G Sing B mations Ay 112 Q Q O C X 12 Q D

Find the vertical asymptotes if any and the values of x corresponding to holes if any of the graph of the rational function h x X x x 5 Select the correct choice below and if necessary fill in the answer box to complete your choice Type an equation Use commas to separa answers as needed OA The vertical asymptote s is are OB The vertical asymptote s is are Oc There are no vertical asymptotes but there is are hole s corresponding to D There are no discontinuities and hole s corresponding to There are no holes

MY NOTES PRACTICE ANOTHER ASK YOUR TEACHER One sixth of the fourth graders and one third of the fifth graders miss school on Friday The absentee sheet for Friday shows the names of 9 fourth graders and 18 fifth graders How many fourth and fifth graders are enrolled in the school students Need Help

1 2 Points DETAILS Solve LARMPMT1 9 2 028 MY NOTES ASK YOUR TEACHER PRACTICE ANOTH A discounted concert ticket is 12 75 less than the original price You pay 51 for a discounted ticket Write an equation to find the original price of the ticket Let t represent your variable

Decide which property of equality you will use to solve each equation a b c x 10 6 Addition Property of Equality Division Property of Equality Multiplication Property of Equality Subtraction Property of Equality y 3 4 Addition Property of Equality Division Property of Equality Multiplication Property of Equality Subtraction Property of Equality 8m 16 E Addition Property of Equality Division Property of Equality Multiplication Property of Equality Subtraction Property of Equality d n 1 11 Addition Property of Equality

0 3 1 13 3 e Multiplicative Inverse Property 13 3 3 13 013 13 300 041 3 13 00 013 13 1 013 33 16 3 13 39 39 1 9 7 2 2 1 3

Factor f x 2x 1 2i x 2 i x 1 i into linear factors if 1 i is a zero of f x

Show that each number is rational by writing it in the form where a and b are integers and b 0 a 1 9 b 0 c 2 3

Consider the following function on the given domain R x x 8 9 x 8 Step 2 of 2 Find the domain of the inverse function R x Express your answer in interval notation Answer 2 Points

5 Simplify each expression to a single term Neatly show each equivalent step 2 pts each a csc x csc x sin x b csc 0 1 csc 0 1 c secx cotx CSC X

Step 1 of 4 Determine the more basic function that has been shifted reflected stretched or comp Answer Answered F x x 5 2 Points f x x 1 3

Consider the following function v x 3 x 4 2 Step 1 of 4 Determine the more basic function that has been shifted reflected stretched or compressed Answer 2 Points f x

Step 3 of 4 Graph the given function by indicating how the more basic function has been shifted reflected stretc Answer 2 Points Select the type of transformations to create the correct graph Any further inputs required to complete the transform appropriate selection is made Horizontal Shift O Left Vertical Stretch Compress Stretch O Right x Axis Reflection O Yes Vertical Shift O Up O Compress O None O No y Axis Reflection Yes O No O None Down O None 10 5 5 10 101 5 5 E

given by the graph below 10 Answer 2 Points 101 S Enable Zoom Pan Step 2 of 2 Determine the values of the local extrema you identified in the previous step Write DNE for all extrema that do not exist Separa multiple answers with a comma if necessary Keyboard S

Question 19 Step 4 of 4 Find a 2 Ay f Enable Zoom Pan

These data are the number of on campus burglaries reported in a given year for nine western Pennsylvania universities 15 11 4 15 9 8 14 6 15 Send data to Excel Use Excel to find the mean median midrange and mode Round to one decimal place if necessary Part 0 4 Part 1 of 4 a Find the mean The mean is burglaries X

Player R has a 1 bill a 10 bill and a 50 bill Player C has a 5 bill and a 20 bill They simultaneously select one of their bills The one with the larger bill collects the bill shown by the other player Write the payoff matrix for this C R 1 10 50 5 20

A 9 000 bond matures in 10 years and pays 2 percent interest twice a year If the bond sold for 7 000 what is the annual actual investment rate a IRR 7 15 Ob IRR 5 10 OCIRR 3 58 Cd IRR 6 23