Complex numbers Questions and Answers

7 y 2x 4x 1 y 2x 2x 2 3 2 21 3

A realtor that sells houses sold 5 homes in the month of May The sales prices of each house is listed below House 1 85 000 House 2 122 000 unbalanced House 3 136 000 third quartile outlier absolute deviation House 4 988 000 Which word best statistically describes the data point 988 000 in the data set House 5 102 000

3 y 2 x 2 6 vertex 2 6 y intercept 0 5 3 2 2 2

Which histogram below shows a data set that is skewed right Frequency Frequency 87654321 Frequency 54427765 1 1 2 3 4 5 6 7 8 9 10 Data Value 1 2 3 4 5 6 7 8 9 10 Data Value 1 2 3 4 5 6 7 8 9 10

Evaluate the integral that converges enter DNC if integral Does Not Converge 7 L 002 49dx a b tan 1 I 3 tan 1 33 3 C none d tan 1 3 3

you can sometimes simplify the problem by multiplying or dividing both the divisor and divided by the same number This is called division compensation For example 72 12 72 2 12 2 36 6 6 For example 145 5 145x2 5 x 2 290 10 29 Calculate the following mentally using this technique Show the steps a 84 14 b 234 26 c 120 15 d 168 14

5 The temperature inside of a storage F t 8 cos t 63 where t is the number of hours since midnight a At what temperature is the building at midnight Explain how you arrived at you F 8 cos 0 63 F t 55 S Inaoyans borms lem b How many hours after midnight does it take for the temperature to first reach its 71 201 5 T c Sketch a picture of two full cycles modeling the temperature inside the stor include values on the axis and label one maximum and one minimum point 71 temperature 55 2 Elha

For each ordered pair dete 6x 7y 4 5x 3y 8

Let f x y z x y sinz x u v y v w z w u Use the chain rule to show that fu fy fw 0

Calculate 1 3i 7 Give your answer in a bi form

Construct using straightedge and compass the non Euclidean line joining 4 4i and 2 4i

Select the graph of f x e 5 3 7 6 5 4 ry m 2 123456 295 5 5 4 3 2 1 7717 959 has to 21 456 Y 7777777 2 44 M M 97 41 M

Solve correct to 2 decimal places 6 7 199

a What is G 9 What point is on the graph of G b If G x 3 what is x What point is on the graph of G a What is G 9 G 9 Type an integer or a fraction What point is on the graph of G The ordered pair is b If G x 3 what is x X Type an ordered pair Type an integer or a fraction What point is on the graph of G The ordered pair is Type an ordered pair

Find the expected value of the random variable with the following probability distribution 1 2 3 S 7

12 Given f x 3x 9x 11 and h x 7 5x find and simplify h x

possibilities of positive and negative real zeros Be sure to include all g x 14x8 13x6 12x4 2x 5 Answer How to enter your answer opens in new window Separate multiple answers with commas Number of Positive Real Zeros Number of Negative Real Zeros Keyp Keyboard Short

Compute the non Euclidean distance between the points 1 2i and 1 i Do the same for 4 4i and 2 4i

Consider the difference equation y3y 1 3 with initial condition yo4 Give the values of the first five terms below Then identify the values b variables a and b and finally compute 1 NOTE If you don t know what I mean then look at the brown box on pg 480 4 19 V133 25 1 s 34 and The variable a 3 and the variable b 3 Hence equals

Use synthetic division to determine whether 4 is an upper or lower bound of the real zeros of the following polynomial Answer f x x x 19x 49x 30 O upper bound lower bound

Question 17 4 find zeros and their multiplicity for f x 3 x 1 2 x 2 O 1 with multiplicity two and 2 with multiplicity one O1 with multiplicity two and 2 with multiplity one O none of these answers O 1 with multiplicity two and 2 with multiplicity one Question 18

find max rate of Change of the direction in which it occurs 1 7 1 find the directions f Cit the for F x y z giver direction unit vector Point 3x 7y Z c

The population of male and female birds in a state is growing at a constant rate The graph shows the relationship between their population y and time x Population Males Females Time yr Which gender s population is growing more rapidly and how is this shown Males the slope of the line representing males is greater than the slope of the line representing females Females the slope of the line representing females is greater than the slope of the line representing males Males the initial value of the line representing males is greater than the initial value of the line representing females Females the initial value of the line representing females is greater than the initial value of the line ales

G Show Transcribed Text J 900 50 000 17 t

Find the probability that a randomly selected point within the large square falls in the red shaded square 10 10 16 P 16 Enter as a decimal rounded to the nearest hundredth Enter

selected point within the circle falls in the red shaded triangle 12 12 12 P Enter as a decimal rounded to the nearest hundredth Enter

its leading coefficient is its y intercept is Enter the x intercepts from smallest to largest its z intercepts are When y When y Select the graph of P x Input or for the answer Input or for the answer 15 54329 14 13 12 11 10 and

Among all your Facebook friends 48 are people you have actually met 28 are people you know but have never actually met and the rest are people you do not know at all 56 of the friends you have met have posted on your Timeline 33 of the friends know but have never met have posted on your Timeline and 8 of the friends you do not know at all have still posted on your Timeline Fill in the missing probabilities as set up in the formula above to obtain the probability that someone who posts on your Timeline is someone you do not know at all 0 56 0 48 0 33 0 28 0 28 X V 4 46 X Answers accurate to 4 donim 0 08 0 24 Check Clear Help

As accounts manager in your company you classify 67 of the customers as good credit and the rest as risky credit depending on their credit rating Customers in the risky category allow their accounts to go overdue 49 of the time on average whereas those in the good category allow their accounts to go overdue only 6 of the time Fill in the missing probabilities as set up in the formula above to obtain the probability that an overdue account is held by a customer in the credit category 2 Ancwere a 3 to decimal places O Check Clear Help

3 a Vertex of the parabola 2 8 7 6 5 4 3 2 1 1 b Axis of Symmetry 1 2 3 Q Consider the graph of a quadratic function shown above Identify the following Enter coordinates as an ordered pair Separate multiple answers with a comma If no real number solution exists enter DNE S 6 78 c Is the vertex a minimum or a maximum value of the function O Minimum

The value of 12x 20x 14 when 1 is

A license plate must contain 2 numerical digits followed by 3 letters If the first digit cannot be 0 or 1 how many different license plates can be created Use the Multiplication Principle of Counting to solve the problem Answer How to enter your answer fopens in new window Keypad

If 7 5i is a zero of a polynomial function of degree 5 with real coefficients

A license plate must contain 3 numerical digits followed by 3 letters If the first digit cannot be 0 or 1 how many different license plates can be created Use the Multiplication Principle of Counting to solve the problem

A commercial cherry grower estimates from past records that if 18 trees are planted per acre then each tree will yield an average of 32 pounds of cherries per season If for each additional tree planted per acre up to 25 additional trees the average yield per tree is reduced by 1 pound how many trees should be planted per acre to obtain the maximum yield per acre What is the maximum yield In order to get the highest yield of pounds t trees should be planted per acre

The pressure exerted by a certain liquid at a given point varies directly as the depth of the point beneath the surface of the liquid The pressure at 80 feet is 160 pounds per square inch What is the pressure at 10 feet

Give the smallest two solutions of cos 40 0 8767 on 0 2 Separate the two solutions with a comma font color

Question Construct a polynomial function with the stated properties Reduce all fractions to Answer Third degree with zeros of 2 1 and 5 and a y intercept of 10 p x

Using the Law of Sines to find all triangles if ZA 46 a 23 b 26 For the obtuse angle we have If no answer exists enter DNE for all answers LB is degrees ZC is degrees d For the acute angle we have If no answer exists enter DNE for all answers ZB is degrees degrees ZC is C Round all answers to the hundredths place Arcum Air conocito sido a Rir oppo do b and Cic oppocito to two decim

Letters ONLY If you choose more than one letters please arrange them in alphabetical order please A cos 2A cos A sin A B cos 2A cos A sin A cos A sin A C cos 2A 2 cos A 1 D cos 2A 1 2 sin A E cos 2A cos A sin A O A B C D O B C D O A C E OC D

7 c Suppose a 12 7 and b 4 Find c 6 d Suppose a 2 b 6 and c 7 Find B e Suppose a 4 b 4 and c 6 Find y c 2sqrt 2 B arccos 17 28

You need 1275 mL of a 70 alcohol solution On hand you have a 15 alcohol mixture How much of the 15 alcohol mixture and pure alcohol will you need to obtain the desired solution You will need and mL of the 15 solution mL of pure alcohol

Submit Question Question 2 0 1 pt 398 Details An investment will generate income continuously at the constant rate of 10 000 per year for 7 years If the prevailing annual interest rate remains fixed at 1 3 compounded continuously what is the present

A minimum of 3 points at the new vertices must be graphed you may connect the dots but it is not required because the drawing tool is not as accurate as we d like it to be x Clear Undo Redo y R T

Transform Triangle ABC by translating the image down 3 and right 5 to create the image of Triangle A B C A minimum of 3 points at the new vertices must be graphed you may connect the dots but it is not required because the drawing tool is not as accurate as we d like it to be x Clear 10 A 5 Undo Bi 10 5 Redo C POSSIBLE POINTS 0 57 10

The decibel dB is defined as dB 10log where P is the power of a particular signal and P is the power of some reference signal In the case of sounds the reference signal is a sound level that is just barely audible How many dBs does a sound have if its power is 7 320 000 times that of the reference sound Round to the nearest tenth O29 8 dB O 10 0 dB 68 6 dB O 0 0 dB B R O 158 1 dB

The value of an investment is presently 9742 23 It had been paying 8 compounded continuously since the investment was made 10 years ago How much was invested originally O 6222 92 1544 04 O 5325 72 4377 47 3948 73

Use separation of variables to find if possible product solutions for the given partial differential equation Use the separation constant 20 If not possible enter IMPOSSIBLE X u x y au ax Y au ay

Carbon dating presumes that as long as a plant or animal is alive the proportion of its carbon that is 14C is constant The amount of 14C in an object made from harvested plants like paper will decline exponentially according to the equation A Ae 0 0001213t where A represents the amount of 4C in the object A represents the amount of 14C in living organisms and t is the time in years since the plant was harvested If an archeological artifact has 40 as much 14C as a living organism how old would you predict it to be Round to the nearest year O 16 006 years 5715 years 30 411 years 87 years 7554 years

Which statements are true about the graph of the function f z A There is a hole at x 12 B There is a zero at x 7 c There is a hole at x 7 D There is a zero at x 8 E There is an asymptote at x 12 F There is an asymptote at x 8 2 15z 56 z 5z 84